45

Test Name : SmartCAT-10306

No. of Questions : 60

INSTRUCTIONS

The exam has 2 sections and each section has a timer. The first section will be Quantitative

aptitude and Data Interpretation and the second section will be Verbal Ability & Logical

Reasoning. You will have 70 minutes to answer 30 questions in each section.

Within each section, you will be allowed to change or delete an answer, MARK a question for

review, go to the NEXT or return to the PREVIOUS question, and look at the REVIEW screen.

You will also be able to go directly to a particular question by clicking it from the review screen

Once the first section ends, you will go to the second section. You cannot go from the first

section to the second section till the full 70 minutes for the first section run out. Once you are

inthe second section, you will again have 70 minutes, and you will not be able to go back to the

first section. You may use any remaining time to review the questions within the same section

only.

All questions carry 3 marks each. For each wrong answer, 1 mark will be deducted .There is only

one correct answer to each question.

No marks will be deducted for unanswered questions

# 1. In a triangle ABC, B = 90o. BP is the median to side AC. BQ bisects the angle B

and BR is the altitude to side AC. If RBQ = 15o, find the value of PBQ

A ) 15o

B ) 7.5o

C ) 30o

D ) 12o

SOLUTION

The correct choice is (A).

In the right angle triangle ABC, BP is the median to the hypotenuse. Hence

(Median to the hypotenuse is half the hypotenuse).

BP = AP = PC

Hence BPC is an isosceles triangle, PBC = PCB

Let PBC = PCB =

Then BAC = 90 -

In ABR, ARB = 90o, BAC = 90 - Hence ABR =

Since AQ is the angle bisector of ABC, we can say then ABQ = CBQ

ABR + RBQ = PBC + PBQ

But ABR = PBC =

Hence RBQ = PBQ

Hence, PBQ = 150

Hence option A

# 2. Which of the following options best expresses the graph below?

A )

B )

C ) y = loga|x|

D )

SOLUTION

The correct choice is (A). The graph of y = loga x is:

Since the graph in the question has no negative value for ‗y‘, the function can be

rewritten as y = |loga x|.

However, the graph of y = |loga x| is:

But in the question, values of ‗y‘ exist even for negative values of ‗x‘.

Hence the required solution is y = |loga |x||

Hence option A

# 3. Find out the number of common roots for equations:

x3 - 8x2 + 19x - 12 = 0 and x3 - 4x2 + x â€― 6 = 0?

A ) 1

B ) 2

C ) 3

D ) 0

SOLUTION

The correct choice is (D). x3 - 8x2 + 19x + 12 = 0 can be factorized as (x -1)(x - 3)(x - 4)

= 0. Roots are 1, 3, 4 out of which none are the roots of second equation.

Hence option D

# 4. Sum of two positive integers is 85. What can be the maximum possible LCM of these

numbers?

A ) 1800

B ) 1806

C ) 1900

D ) Cannot be determined

SOLUTION

The correct choice is B. For the LCM to be maximum, the numbers should be as close as

possible and preferably co-primes. 42 and 43 perfectly fit the bill. LCM of 42, 43 = 1806.

Hence option B

# 5. If are the roots of the equation 2x2 - 9x + 4 = 0 then form an equation where

the roots are 4 more than the roots of the given equation.

A ) 2x2 - 25x + 72 = 0

B ) x2 - 25x + 72 = 0

C ) x2 - 25x + 36 = 0

D ) None of these

SOLUTION

The correct choice is (A). Sum of the roots initially = 9/2. After increasing them by 4

each, they should be 25/2.

By solving we get initial roots as 4 and 0.5. Later, roots will be 8 and 4.5. option D

should be correct.

Alternately, we can simply replace x by (x-4) to get the desired equation.

Hence option A

# 6. Praveen and Arjun are 850 m apart. If both of them start moving towards each other

at the same time from their respective points with speeds in the ratio of 8 : 9 respectively,

at what distance from the starting point of Arjun will they meet for the 10th

time? Assume

that none of them stops at any point of time and once they reach their respective ends

they immediately turn back.

A ) 50m

B ) 750m

C ) 600m

D ) None of these

SOLUTION

The correct choice is (A). 1st time, they will meet 450m away from Arjun.

2nd

time they will meet at distance x from Arjun.

450 + x/1250 – x = 8/9

4050 + 9x = 10000 - 8x

17x = 5950

x = 350m.

3rd

time, they will meet at 550m away from Arjun.

4th

time, 250m away from Arjun

Similarly, 6th

time 150m away from Arjun, and 8th

time 50m away from Arjun.

And 10th

time also they will meet 50m away from Arjun.

Alternate solution

1st time they meet, Arjun covers 450 m, and together they cover the total distance d = 850

m. For every consequent meeting, they cover an additional 2d m, i.e. 2nd

meeting they

cover 3d, 3rd

meeting they cover 5d and so on.

Hence, in the 10th

meeting they will cover 19d, and in the same time Arjun will cover 450

x 19 = 8550 m, which is 850 x 10 + 50. Hence, they will meet at 50 m from the starting

point of Arjun.

Hence option A

# 7. In a ABC, AD is the altitude on BC. BC = 21cm, AD = 8 cm, area of ABD = 24

cm2, Find the in radius of ADC

A ) 2 cm

B ) 3 cm

C ) 4 cm

D ) 2.5 cm

SOLUTION

The correct choice is (B). BD will be 48/8 = 6

CD = 21- 6 =15, AD = 8. So AC =17.

In radius = area/semi-perimeter = 60/20 = 3.

Hence option B

# 8. A six digit number ‗pqrstu‘ having all distinct digits multiplied by ‗u‘ gives an

answer in the form ‗aaaaaa‘. What can be the value of a?

A ) 9

B ) 7

C ) 4

D ) 5

SOLUTION

The correct choice is (B). From the options, u is definitely not 9 as that will make a as 1.

But 111111 is not divisible by 9.

it can be 7 as that will make a 9. 999999/7=142857 all 6 are distinct digits.

Hence option B

# 9. A ladder consists of rungs, the lengths of which increase from the top to bottom. The

topmost rung AB is 40 cm long. Every other rung is 5 cm longer than the rung

immediately above it. The shortest distance between the topmost and the bottommost

rung is 36 cm and the shortest distance between each rung is 3 cm. Find the sum of the

lengths of all the rungs of the ladder.

A ) 1015cm

B ) 910cm

C ) 870cm

D ) 970cm

SOLUTION

The correct choice is (B). Let the rungs be named R1, R2….Rn from the top to bottom and

R1 = 40cm, R2 = 45cm, and so on. The distance between R1 and Rn is 36 cms and each

rung is 3cm apart. Hence, a total of 12 rungs can be placed after the first rung. Therefore

number of rungs n = 13.

The lengths of the rungs increase in an arithmetic progression. R13 = R1 + 12d. (d = 5cm

since) each rung is 5cm longer than the previous rung).

R13 = 100cm

Hence the rungs are of lengths 40cm, 45cm, 50cm,….100cm.

Total length of all rungs

Hence option B

Questions 10 to 12: Answer these questions after going through the information given

below:

More, Fresh and Star Bazar are three super-markets that cater to the grocery requirements

of people living in Powai, a locality in Mumbai. The number of people who do not

purchase their groceries from any of the three super markets is equal to three-fourths of

the number of people who purchase their groceries from More alone which in turn is

double the number of people who purchase their groceries from Fresh and Star Bazar but

not More. The number of people who purchase their groceries from both More and Star

Bazar is three-and-a-half times the number of people who purchase their groceries from

Fresh alone. The number of people who purchase their groceries from Star Bazar alone is

a quarter more than the number of people who make their purchases from More and

Fresh but not Star Bazar. The number of people who purchase from all three super

markets is 50 percent more than the number of people who make their purchase from

Fresh alone.

# 10. If the total number of people in the locality is 90,000, then what is the number of

people who purchase from More but not from all three super markets?

A ) 40,000

B ) 50,000

C ) 36,000


SOLUTION


The number of people who do not purchase their groceries from any of the three super

markets is equal to three-fourths of the number of people who purchase their groceries

from MORE alone which in turn is double the number of people who purchase their

groceries from FRESH and STAR BAZAR but not MORE.

Let h = 3x, then a = 4x and e = 2x

The number of people who purchase their groceries from both MORE and STAR

BAZAR is three-and-a-half times the number of people who purchase their groceries

from FRESH alone.

Let b = y, then f + g = 3.5y

The number of people who purchase their groceries from STAR BAZAR alone is a

quarter more than the number of people who make their purchases from MORE and

FRESH but not STAR BAZAR.

Let d = 4z, then c = 5z

The number people who purchase from all three super markets is 50 percent more than

the number of people who make their purchase from FRESH alone.

Since b = y, g = 1.5y. hence f = 2y.

The total number of people in the locality = 9x + 4.5y + 9z = 90000

2x + y + 2z = 20000

Number of people who purchased from MORE but not all three super markets = 4x + 2y

+ 4z = 40000

Hence option A

# 11. The total number of people in the locality is 10,800 and the number of people who

purchase from More is 1,600 more than the number of people who purchase from Fresh.

Find the number of people who purchase from Star Bazar alone

A ) 400

B ) 1,600

C ) 800

D ) 2,000

SOLUTION

The correct choice is (D).








from FRESH alone.









The total number of people in the locality = 9x + 4.5y + 9z = 10800Eqn (1)

The number of people who purchase from MORE is 1600 more than the number of

people who purchase from FRESH.

(4x + 3.5y + 4z) – (2x + 2.5y + 4z) = 1600 2x + y = 1600

Multiplying the above equation by 4.5, 9x + 4.5y = 7200 Eqn (2)

Subtracting Eqn (2) from Eqn (1)

9z = 3600 or z = 400 or 5z = 2000

Hence option D

# 12. The number of people who purchase from none of the three super markets is twice

the number of people who purchase from Star Bazar only while the number of people

who purchase from Star Bazar only is one third the number of people who make their

purchases from all the three super markets. If the number of people who make their

purchase from both More and Star Bazar is 2,100, find the number of people who

purchase groceries from at least one of the two super markets Star Bazar and Fresh

A ) 3,640

B ) 2,520

C ) 4,580

D ) 3,260

SOLUTION









from FRESH alone.









The number of people who purchase from none of the three super markets is twice the

number of people who purchase from STAR BAZAR only while the number of people

who purchase from STAR BAZAR only is one third the number of people who make

their purchases from all the three super markets.

3x = 2x 5z and

Hence the ratio x : y : z is 10:30:3. Let x = 10k, y = 30k and z = 3k

Number of people purchasing from both MORE and STAR BAZAR = 3.5y = 105k =

2100

Hence, k = 20.

The number of people who purchase groceries from at least one of the two super markets

STAR BAZAR and FRESH = 2x + 4.5y + 9z = 2 x 10k + 4.5 x 30k + 9 x 3k = 182k =

3640

Option A.

# 13. If 3x + 4y + 5z = 25, 2x + 7y + 9z = 41 and 6x + 3y + z = 17 then x + y + z lie

between

A ) 2 and 4

B ) 3 and 5

C ) 4 and 6

D ) 5 and 7

SOLUTION

The correct choice is (D). On solving for x, y, z we get x = 1, y = 3, z = 2. x + y + z

would lie between 5 and 7.

Hence option D

# 14. If and x y and x, y are real numbers, then which

of the following statements is true?

A ) x + y = 1

B ) x + y = 0

C ) x + y = - 1

D ) x + y = 2

SOLUTION


# 15. How many integers that are greater than 990 but less than 5000 can be formed using

the digits 0, 4, 7, 5, 8, 9?

A ) 432

B ) 221

C ) 437

D ) 442

SOLUTION

The correct choice is (B). 3 digit numbers = 994,995,997,998,999

4 digit numbers =

Thousands digit must be 4. Hundreds digit can be chosen in 6 ways, tens digit in 6 ways

and units digit in 6 ways. Total numbers possible= 6 x 6 x 6 = 216

216 + 5 = 221.

Hence option B

# 16. If f(n)= n!, g(n) = n2, h(n) = 2n, find f(g(3)) + g(h(3))

A ) 362906

B ) 362916

C ) 362926

D ) 362936

SOLUTION

The correct choice is (B). g(3) = 9, f(9) = 362880, h(3) = 6, g(6) = 36

362916.

Hence option B

# 17. Raghu sells an item at 10% profit to Devansh who sells it to Girish for 250. Girish

sells it to Pranav for a 20% loss who sells it to Raghu at a 20% profit. Assume that there

is no deprecation of the article from the time Raghu sold it to the time Raghu bought it. If

Raghu made a profit of 50 on the transaction, what is the cost price of Raghu when he

bought the item for the first time and the percentage profit or loss made by Devansh?

A ) 253.53, 13.79% loss

B ) 263.63, 13.79% loss

C ) 253.53, 13.89% loss

D ) 263.63, 13.89% loss

SOLUTION

The correct choice is (B). Girish sold to Pranav for 200 who sold it to Raghu for 240

So initially Raghu must have bought the item for x. He sold it for 1.1x.

As Raghu made profit of 50, 1.1 x – 50 = 240

1.1x = 290

x = 290/1.1 = 263.63

Devansh got it for 290 but sold it for 250, loss%= 40 / 290 x 100= 13.79% loss

Hence option B

# 18. Taman can do a piece of work in 10 days. After the 1st day, he fell sick and his

efficiency decreased by 20% so he hired Viru to help him. Viru has half the normal

efficiency of Taman. After four more days, Viru too felt sick and his efficiency decreased

by 50%. What is the total number of days in which the work will be completed?

A ) 8 +13/21 days

B ) 8 +14/21 days

C ) 8 + 15/21 days

D ) None of these

SOLUTION

The correct choice is (A). Work done on day 1 = 1/10

Work done on day 2= 2/25 + 1/20

Work done on day 3= 2/25 + 1/20

Work done on 4th

day= 2/25 + 1/20

Work done on 5th

day= 2/25 + 1/20

Work done in first 5 days = 31/50 = 124/200

Work done on 6th

day = 21/200

Work done on7th day = 21/200

Work done on 8th

day = 21/200

In 8 days, work done = 187/200

Total work will be done in 8 + 13/21 days.

Hence option A

# 19. Find the remainder when 282 is divided by 82

A ) 2

B ) 4

C ) 8

D ) 16

SOLUTION

The correct choice is (C). 282

/ 82 = 281

/ 41 = (210

)8 x 2 / 41 = (1024)

8 x 2 /41 = (1025 -

1)8 x 2/41

The above gives a remainder of 2. Hence, the actual remainder is 4

Hence option C


below:

In Imperial engineering college, each student is a member of at least one of the four clubs

- Dramatics, Red Cross, Rotaract and Twisters. The number of students who are members

of all the clubs except Dramatics is 60. The number of students who are members of all

the clubs except Red Cross is 50. The number of students who are members of all the

clubs except Twisters is 40.The number of students who are members of all the clubs

except Rotaract is 45. The number of members of Red Cross and Rotaract alone is 10

more than twice the number of members of Dramatics and Twisters alone. The number of

members of Rotaract and Twisters alone is 10 lesser than the number of members of

Dramatics alone. The number of members of Red Cross and Twisters alone is 20 more

than twice the number of members of Dramatics and Rotaract alone. The number of

members of only Dramatics and Red Cross is equal to the number of members of

Twisters alone. The number of students who are members of Dramatics club alone is 85

which is 30 more than the number of students who are members of Rotaract club alone

and 50 more than the number of students of Twisters alone. The number of members of

all the four clubs is 30 less than thrice the number of members of Red Cross alone.

# 20. If the number of members of the Dramatics, Red Cross and Rotaract clubs are 385,

430 and 445 respectively what is the number of members of the Twisters club?

A ) 375

B ) 445

C ) 390

D ) 430

SOLUTION

The correct choice is (B).

The number of students who are members of all the clubs except Dramatics is 30. Hence,

j = 30

The number of students who are members of all the clubs except Red Cross is 50. Hence,

h = 50

The number of students who are members of all the clubs except Twisters is 40. Hence, e

= 40

The number of students who are members of all the clubs except Rotaract is 45. Hence, m

= 45

The number of students who are members of Dramatics club alone is 85 which is 30 more

than the number of students who are members of Rotaract club alone and 50 more than

the number of students of Twisters alone. a = 85, g = 55 and p = 35

The number of members of Rotaract and Twisters alone is 10 lesser than the number of

members of Dramatics alone. Hence, k = 85 – 10 = 75

The number of members of only Dramatics and Red Cross is equal to the number of

members of Twisters alone. Hence, b = 35

The number of members of Red Cross and Rotaract alone is 10 more than twice the

number of members of Dramatics and Twisters alone.

Hence, f = 2l + 10

The number of members of Red Cross and Twisters alone is 20 more than twice the

number of members of Dramatics and Rotaract alone. Hence, n = 2d + 20

The number of members of all the four clubs is 30 less than thrice the number of

members of Red Cross alone. Hence, i = 3c - 30

Substituting all the above values in the Venn diagram:

Number of members of Dramatics club = 225 + d + l + 3c

Number of members of Red Cross club = 180 + 2d + 2l + 4c

Number of members of Rotaract club = 260 + d + 2l + 3c

Number of members of Twisters club = 255 + 2d + l + 3c

225 + d + l + 3c = 385

180 + 2d + 2l + 4c = 430

260 + d + 2l + 3c = 445

Solving, d = 30, l = 25 and c = 35

Number of members of Twisters club = 255 + 2d + l + 3c = 445

Hence option B

# 21. The number of students who are members of at least one of the four clubs is 785.

The number of members of Dramatics or Rotaract club is 640. The number of members

of Twisters club is 425. Find the number of members of exactly two clubs.

A ) 385

B ) 330

C ) 365

D ) 350

SOLUTION

The correct choice is (C).


j = 30


h = 50


= 40


= 45










Hence, f = 2l + 10










Total number of members in at Least one of the four clubs = 480 + 4c + 3d + 3l = 785

Number of members of Dramatics or Rotaract club = 425 + 3c + d + 3l = 640

Number of members of Twisters club = 255 + 2d + l = 3c = 425

Solving the above three equations, c = 20, d = 35 and l = 40

The number of members of exactly two clubs is highlighted in yellow:

Number of members = d + 35 + 2l + 10 + 75 + l + 2d + 20 = 365

Hence option C

# 22. The number of members of Red Cross is 31 more than the number of members of

Twisters. The number of members of Rotaract is 35 more than the number of members of

Red Cross. The number of members of Red Cross is 24 more than the number of

members of Dramatics. Find the number of students in Imperial engineering college.

A ) 704

B ) 705

C ) 706

D ) 707

SOLUTION



j = 30


h = 50


= 40


= 45










Hence, f = 2l + 10










The number of members of Red Cross is 31 less than the number of members of

Twisters. (255 + 2d + l + 3c) - (180 + 2d + 2l + 4c) = 31

Simplifying, l + c = 44Eqn (1)

The number of members of Rotaract is 35 more than the number of members of Red

Cross.

(260 + d + 2l + 3c) – (180 + 2d + 2l + 4c) = 35

Simplifying, d + c = 45Eqn (2)

The number of members of Red Cross is 24 more than the number of members of

Dramatics.

(180 + 2d + 2l + 4c) – (225 + d + l + 3c) = 24

Simplifying, d + l + c = 69Eqn (3)

Solving the three equations, d = 25, l = 24 and c = 20

Total number of students in Imperial Engineering College = 480 + 4c + 3d + 31 = 707

Hence option D

# 23. In a triangle given below, BR Bisects AQ at P. Also, AQ is the median to the side

BC. If the area of APR is 20 cm2, find the area of the quadrilateral PRCQ.

A ) 80 cm2

B ) 60 cm2

C ) 40 cm2

D ) 100 cm2

SOLUTION


To solve, draw a line QS || BR

APR and AQS are similar. Given that (since P is the midpoint of AQ).

Hence, ratio of areas of APR and AQS is

Hence, area of AQS = 80. Therefore area of quadrilateral PRQS = 80 – 20 = 60

Since P is the midpoint of AQ, area of ABP = area of BPQ. Let the area of ABP

and BPQ be ‗x‘.

Hence area of ABQ = 2x

Since AQ is the median to QC, area of ABQ = area of AQC = 2x

Area of SQC = Area of AQC – Area of AQS = 2x – 80 Eqn (1)

SQC and RBC are similar. Hence,

Hence ratio of areas of SQC and RBC is 1:4.

(Area of RBC = Area of BPQ + area of quadrilateral PRSQ + Area of SQC)

Simplifying, x = 60

Area of SQC = 2x – 80 = 40

Hence Area of quadrilateral PRCQ = Area of quadrilateral PRSQ + Area of SQC

= 60 + 40 = 100cm2

Hence option D.

# 24. If p, q, r, s are positive numbers and find

the minimum value of

A ) 3

B ) 2

C ) 4


SOLUTION

The correct choice is (C).

# 25. If a number n can be denoted as ( m-1 m-2 m-3) in a number system with base m

where m > 3, find the number n when converted to decimal if m is the greatest single

digit prime number

A ) 313

B ) 323

C ) 333

D ) 343

SOLUTION

The correct choice is (C). m = 7, (654)7 when converted to decimal becomes 4 + 35 +

294 = 333.

Hence option C

# 26. If the roots of x4 + 2x3 - 13x2 - 14x + 24 = 0 are squared, what will be the new

equation with the roots?

A ) x4 - 30x3 + 273x2 - 810x + 576 = 0

B ) x4 - 30x3 + 273x2 - 820x + 586 = 0

C ) x4 -30x3 + 263x2 - 820x + 576 = 0

D ) x4 - 30x3 +273x2 - 820x + 576 = 0

SOLUTION

The correct choice is (D). (x - 1)(x + 2)(x - 3)(x + 4) = x4 + 2x3 - 13x2 - 14x + 24 = 0

The roots are 1, - 2, 3, - 4

If they are squared, they become 1, 4, 9, 16

The new equation will be (x - 1)(x - 4)(x - 9)(x - 16) = 0

Which translates to (x2 - 10x + 9)(x2 - 20x + 64) = x4 - 30x3 + 273x2 -820x + 576 = 0.

Hence option D.

# 27. Manoj repays a loan in three annual instalments which decrease by 1,000 every

year. The initial amount he borrowed was 10,000 at the rate of 6%. Find the second

instalment

A ) 3,702.27

B ) 3,307.25

C ) 3,700.25

D ) 3,100.75

SOLUTION

The correct choice is (A). Let the installments be x + 1000, x and x - 1000.

End of 1st year, P becomes 9600 - x

End of 2nd

year, P = 9600 - x + 0.06(9600 - x) – x = 10176-2.06x

End of 3rd

year P = (10176-2.06x)1.06

Therefore,

(10176 - 2.06x)1.06 = x - 1000

x = 3702.27.

Hence option A


below:

TCX, CBB, REL and DLP are four companies whose shares are listed in the Delhi Stock

Exchange (DSE), one of India‘s largest stock exchanges. The following graph gives the

details of the price of a share of each company at hourly intervals (starting from 9am and

ending at 3pm) on April 3, 2013.

# 28. Market capitalization of a company is defined as the total value of all its shares put

together. If the market capitalization of all the companies of DSE put together at 3pm is

76,875 crores and the total number of shares of TCX, CBB, REL and DLP are 3 crores,

2.5 crores, 8 crores and 5 crores respectively, what is the market capitalization of all the

companies apart from TCX, CBB, REL and DLP at 3pm?

A ) 51,375 crores

B ) 48, 635 crores

C ) 53,635 crores

D ) 51,555 crores

SOLUTION

The correct choice is (D). Market capitalization of a company = Value of a share x total

number of shares At 3 pm,

Market capitalization of TCX = 1405 x 3 crores = 4215 crores

Market capitalization of CBB = 1330 x 2.5crores = 3325 crores

Market capitalization of REL = 1360 x 8crores = 10880 crores

Market capitalization of DLP = 1380 x 5crores = 6900 crores

Total market capitalization of the four companies = 4215 + 3325 + 10880 + 6900 =

25320crores

Market capitalization of the remaining companies = 76875crores – 25320 crores =

51555 crores

Hence option D

# 29. For every share bought or sold, a fee of 0.005% of the value of share is levied on the

buyer/seller as brokerage charges. Ahmed bought 125 shares of TCX at 11am, 150 shares

of CBB at 10am, 80 shares of REL at 9am and 100 shares of DLP at 12pm. He sold all

his shares of TCX and CBB at 2 pm. He also sold all his shares of REL and DLP at 3pm.

If no other fees apart from brokerage charges are levied, what is the approximate net

profit/loss made by Ahmed?

A ) 5,734

B ) 11,925

C ) 6,190

D ) 7,125

SOLUTION

The correct choice is (A). TCX:

Ahmed buys 125 shares of TCX at 11am (buying price of 1375) and sells them at 2pm

(selling price of 1400) at a profit of 25 per share (without considering brokerage

charges)

Hence, Profit made = 25 x 125 = 3125

Total brokerage charges paid

= 0.005 x 125 x 1375 + 0.005 x 125 x 1400 = 1734.375

CBB:

Ahmed buys 150 shares of CBB at 10am (buying price of 1335) and sells them at 2pm


charges)



= 0.005 x 150 x 1335 + 0.005 x 150 x 1355 = 2017.50

REL:

Ahmed buys 80 shares of REL at 9am (buying price of 1300) and sells them at 3pm


charges)


Total brokerage charges paid = 0.005 x 80 x 1300 + 0.005 x 80 x 1360 = 1064

DLP:

Ahmed buys 100 shares of CBB at 12pm (buying price of 1370) and sells them at 3pm


charges)



= 0.005 x 100 x 1370 + 0.005 x 100 x 1380 = 1375

Hence, net profit made = Total profit on sale of all the shares – Total brokerage charges

= (3125 + 3000 + 4800 + 1000) - (1734.375 + 2017.50 + 1064 + 1375)

= 5734 (17approx)

Hence option A

# 30. Kunal owns 50 shares of TCX, 40 shares of CBB, 60 shares of REL and 100 shares

of DLP. Ketan owns 80 shares of TCX, 50 shares of CBB, 80 shares of REL and 40

shares of DLP. Krish owns 70 shares of TCX, 60 shares of CBB, 90 shares of REL and

20 shares of DLP. Kapil owns 70 shares of TCX, 80 shares of CBB, 60 shares of REL

and 30 shares of DLP. At noon, which persons total shares held in the four companies are

of the highest value?

A ) Kunal

B ) Ketan

C ) Krish

D ) Kapil

SOLUTION

The correct choice is (B). At noon the value of one share of TCX, CBB, REL and DLP

are 1410, 1345, 1325 and 1370 respectively.

Total value of Kunal‘s shares = 501410 + 40 x 1345 + 60 x 1345 + 30 x 1325 + 100 x

1370 = 340800

Total value of Ketan‘s shares = 80 x 1410 + 50 x 1345 + 80 x 1325 + 40 x 1370 =

340850

Total value of Krish‘s shares = 70 x 1410 + 60 x 1345 + 90 x 1325 + 20 x 1370 =

326050

Total value of Kapil‘s shares = 70 x 1410 + 80 x 1345 + 60 x 1325 + 30 x 1370 =

326900 Ketan‘s is the highest.

Hence option B

Questions 31 to 33: Answer the questions after reading the passage given below.

As we close in on 10 p.m., the salad has been cleared from the table and Myshkin is

finally, blessedly, silent. After taking espresso orders, Messud begins to talk about her

―season of death‖ and the time it stole from her writing. ―We offered on this house,‖ she

says, ―and then two days later my father ended up in hospital with a perforated ulcer.‖ He

recovered just in time for her mother‘s diagnosis, then fell terminally ill.

―Having children can feel like that,‖ says Wood. ―Having children and having dying

parents, in your case.‖

To illustrate his point, Wood decides to give a reading—not from Messud‘s work but

from Elena Ferrante, an Italian novelist he recently wrote about for The New Yorker. ―I

was amazed at the overlap with some of the material in The Woman Upstairs,‖ he says,

though ―you add some of your own pressures and anxieties.‖

―Different set of problems,‖ Messud says. Nora‘s anger is internal; on the outside she‘s

still a good girl. ―The acculturation of women does not encourage selfishness,

assertiveness, single-mindedness.‖

I ask Wood if he agrees with Messud‘s friends that she‘s almost too well-behaved.

―Yeah, she‘s very obedient,‖ he says.

―Obedient, that sounds very bad!‖ says Messud. ―Take that back. That‘s on tape!‖

―Yeah, I wouldn‘t use that word. What I mean is—‖

―Would you like cheese?‖ Messud asks me. ―Well, you don‘t have to …‖

―I don‘t mean about obeying me,‖ says Wood. ―I mean rules have weight for you.‖

To explain, Wood recites two sections from Ferrante‘s The Lost Daughter, passages

about what children can do to a woman—first to her body, then to her work (―like an

insect‘s poison injected into a vein‖). It‘s an oddly brutal thing to read to the mother of

your children. At the end of the second passage, the narrator abandons her family.

―Nora‘s a softy compared to this,‖ says Wood. Messud is listening stoically, and I begin

to wonder if she might even be a little jealous of this unhinged narrator. Then Wood

pivots to discuss ―this strong counter-impulse‖ they both feel: ―To hell with the outside

world. To hell with the work. Children are right in front of you. That‘s the work, and the

joyous work.‖

These aren‘t the usual sentiments you hear from a power couple.

―Power couple!‖ Messud shouts theatrically, working the espresso machine. ―Ha ha ha!‖

A minute later, she spies Lucian, who‘s sneaked downstairs. Wood volunteers to tuck

him in. Left to her own thoughts, Messud begins circling around all the constraints in her

life—those recent deaths and much more. She speaks in low tones, with few

interruptions, for almost half an hour.

I ask if she thinks Wood‘s controversial criticism has affected her career. ―I certainly

have felt at various moments that the reluctance of a certain world to take me seriously as

a writer is not unlike the fact that only one of us can actually work in the house at any

given time. That there isn‘t enough air.‖

But if a best-selling highbrow author isn‘t part of the Establishment, who is?

She shoots me a wide-eyed look. ―I‘m never asked to do anything. I‘m asked to write

things, but … but … things like the PEN festival, the New Yorker festival, the Brooklyn

festival—I‘m not on anybody‘s mind, that‘s for sure … I‘ve never had a mentor. There‘s

never been anyone who‘s pushed for me in my entire life. Never.‖ She catches herself,

pauses. ―Maybe nobody has it, is the truth. Maybe everybody is alone.‖

# 31. Which of the following CANNOT be inferred from the passage?

A ) Wood and Messud are married

B ) Nora is the protagonist of Messuds book

C ) Lucian is an animal

D ) Wood is a literary critic

SOLUTION

The correct choice is (C). Answer - Lucian is an animal.

‗Wood and Messud are married‘ can be inferred from the expression ―power couple‖.

‗Nora is the protagonist of Messud‘s book‘ is true. When Wood is reading from the

Italian writer, the passage says ―not from Messud‘s work but from Elena Ferrante‖ and

later in comparison that Nora is a softy compared to this...

Lucian is their child, since Wood goes to tuck him in.

‗Wood is a literary critic‘ can be inferred from the fact that Wood wrote about Elena

Ferrante for New Yorker

Hence option C

# 32. Which of the following best captures Messuds response to whether her husbands

criticism has affected her career?

A ) She agrees with it by offering an example

B ) She disagrees with it by presenting evidence

C ) She agrees with it by presenting an analogy

D ) She disagrees with it by citing authority

SOLUTION

The correct choice is (C). Answer - She agrees with it by presenting an analogy

Messud‘s answer is: ―I certainly have felt at various moments that the reluctance of a

certain world to take me seriously as a writer is not unlike the fact that only one of us can

actually work in the house at any given time. That there isn‘t enough air.‖

She is agreeing with the contention that of the two, Wood has been more successful and

refers to the idea that at home only one can work at any given time. That is, she is

presenting this analogy to indicate that only one of them can find the literary success they

both seek.

‗She agrees with it by offering an example‘ is wrong since she is not giving an example

of literary success but presenting another argument (of working from home)

‗She disagrees with it by presenting evidence‘ and ‗She disagrees with it by citing

authority‘ are incorrect.

Hence option C

# 33. What is the counter-impulse in the line: Then Wood pivots to discuss ―this strong

counter-impulse‖• they both feel?

A ) Aiming for work-life balance

B ) Sending children off to boarding school so as to have more time to oneself

C ) Negotiating the space between the self and ones responsibility

D ) Preferring domesticity over the demands of the professional world

SOLUTION

The correct choice is (D). Answer - Preferring domesticity over the demands of the

professional world.

The statement occurs when Wood is reading from the Italian writer‘s work. She has

written about the burden of familial responsibility (what children can do to a woman—

first to her body, then to her work). Then Wood mentions the counter impulse and says:

―To hell with the outside world. To hell with the work. Children are right in front of you.

That‘s the work, and the joyous work.‖

Therefore ‗Preferring domesticity over the demands of the professional world‘ implies

that he prefers domesticity to the demands of the professional world.

The rest of the options are irrelevant.

Hence option D

# 34. The sentence below has two blanks followed by four pairs of words as choices.

From the choices, select the pair of words that can best complete the given sentence.

Some farmers, and even vegetable traders, dip the harvested vegetables in chemicals to

_________ their shelf life, or use colouring agents to _________ their customer appeal.

A ) Prolong, efface

B ) Extend, enhance

C ) Shorten, strengthen

D ) Reduce, boost

SOLUTION

The correct choice is (B). Answer –Extend, enhance

We need positive words for both blanks. Farmers do all this to extend vegetables‘ shelf

life and enhance their customer appeal.

Efface is wrong, since it means lessen

Hence option B

# 35. The sentences numbered 1, 2, 3, 4 and 5 below when properly sequenced form a

coherent paragraph. From among the four choices given below the question, choose the

MOST LOGICAL ORDER of sentences that constructs a coherent paragraph.

1) In the aftermath of Indira Gandhi's assassination, citizens' groups emerged in melting

pots of various "concerned" people.

2) Those were exciting times and gave rise to the hope that the system could still be

rescued from those working towards maintaining the status quo.

3) In those early days of political activism outside the framework of the party system,

organisations and individuals associated with the movements were viewed with

suspicion.

4) The NGOs were accused of taking money from foreign donors to destabilise India.

5) Indira Gandhi, when she was alive, had attributed every disturbance in India to a

"foreign hand".

A ) 12345

B ) 15234

C ) 15243

D ) 12354

SOLUTION

The correct choice is (A). Answer - 12345

Since every option begins with 1, let‘s start with 1. This is a tricky question because there

are two statements that mention Indira Gandhi but as we will see they don‘t go together.

In 1 we are saying something happened in the aftermath of Gandhi‘s death. 2 comes next

because it says ―those were exciting times...‖ emergence of citizens groups created a hope

that the system can be reformed. In 3 we are saying ―in those early days of suspicion‖. so

it continues with 2. Also 345 represent a theme, that of suspicion with activists. In 3 it

says ―the movements were viewed with suspicion‖. In 4 we have an example of what the

NGOs were accused of. 5 concludes by referring to what Indira Gandhi had said about

them.

Hence option A

# 36. The four sentences given in the options below are labeled as 1, 2, 3 and 4. Of these,

three sentences can be arranged in a logical order to form a coherent paragraph/passage.

From the given options, choose the option that does not fit the sequence.

A ) Ever since two Chechen brothers were implicated in the Boston bombings, people

have been thumbing through atlases and history books to see what, if anything, is

distinctive about Islam on Russia's mountainous southern rim.

B ) Whatever answers we come up with, they won't prove anything about the murky

background to the Boston attacks.

C ) A contest between the puritans and the Sufis is still going on in many parts of the

world.

D ) But they may help us understand part of the context.

SOLUTION

The correct choice is (C). Answer - A contest between the puritans and the Sufis is still

going on in many parts of the world.

All the three i.e. ‗Ever since two….‘, ‗Whatever answers we come up…..‘ and ‗But they

may help us…‘ go together. In ‗Ever since two….‘, the author refers to the Boston

bombings and asks if something can be learnt about them from the state of Islam in

southern Russia. In ‗Whatever answers we come up…..‘ he says not much explanation

will be available. In ‗But they may help us…‘, he concedes that contextual understanding

may be obtained. ‗A contest between the puritans…‘, about Sufis, is out of context.

Hence option C

# 37. The last sentence in the paragraph below from has been deleted. Choose the option

that completes the paragraph in the MOST APPROPRIATE way.

In the first phase, in 2000, an open, ascending auction for radio waves ended in

overbidding. In the second phase, in 2006, closed bids, with a reserve price of zero,

worked well. That really is when private radio took off. For the third phase the Cabinet

has recommended an open, ascending, e-auction. There is no issue with the "e" part since

it brings transparency to the whole process. It is the "open, ascending" bit that worries

everybody.

A ) Typically open, ascending auctions are used in a competitive scenario for a rare

painting or artefact, not for a combination of radio frequencies

B ) Typically open, ascending auctions lead to distribution of radio waves that are free-to-

air and make money from advertisers

C ) Typically open, ascending auctions lead to overbidding and impossible break-

evens, like it happened in phase one

D ) Typically open, ascending auctions start with a reserve price that is fixed at the

highest bid for a town in a similar category in the same region

SOLUTION

The correct choice is (C). Answer – ‗Typically open, ascending auctions lead to

overbidding and impossible break-evens, like it happened in phase one‘

The author is talking about the auction of radio waves. The last line says that ―open,

ascending‖ is a problem. Among the options, ‗Typically open, ascending auctions lead to

overbidding and impossible break-evens, like it happened in phase one‘ is the best. Since

it both speaks of the problems and relates it to the earlier phase. ‗Typically open,

ascending auctions are used in a competitive scenario for a rare painting or artefact, not

for a combination of radio frequencies‘ is also a good answer but is not specific about

why it is bad for radio frequencies. ‗Typically open, ascending auctions lead to

distribution of radio waves that are free-to-air and make money from advertisers‘ and

‗Typically open, ascending auctions start with a reserve price that is fixed at the highest

bid for a town in a similar category in the same region‘ are irrelevant since they don‘t

discuss the problem with ―open, ascending‖.

Hence option C

Questions 38 to 41: Answer the questions after reading the passage given below.

Two of America‘s brightest Democrats have written books about reforming the public

sector: Gavin Newsom‘s ―Citizenville‖ and Cass Sunstein‘s ―Simpler‖. Mr Newsom was

mayor of San Francisco from 2003 to 2010 before becoming California‘s lieutenant-

governor. He is expected to go on to higher things. Mr Sunstein is a Harvard law

professor who was Barack Obama‘s ―regulatory tsar‖ from 2009 to 2012. He is also one

of the authors of ―Nudge‖, a book that advocates guiding (but not forcing) citizens to

make wise decisions. Both present themselves as post-partisan: Mr Newsom strokes the

tea party; Mr Sunstein boasts that David Cameron, Britain‘s Conservative prime minister,

is a fan of ―Nudge‖. But both argue that Barack Obama has done a lot to improve

American government.

Mr Newsom begins by lamenting the contrast between government and the private sector,

particularly the tech industry in nearby Silicon Valley. ―In the private sector and in our

personal lives, absolutely everything has changed over the past decade,‖ he notes. ―In

government, very little has.‖ The public sector is top-down and producer-dominated.

Silicon Valley is bottom-up, networked and consumer-driven. Government needs to

change as radically as it did in the early 20th century, when reformers replaced patronage

and corruption with a measure of meritocracy. It needs to become a ―platform‖ for

services rather than a machine. It needs to engage citizens rather than treat them as

subjects. But citizens need to change, too: becoming problem-solvers, not whingers; and

volunteers, not supplicants.

Mr Newsom‘s emphasis on citizens fixing their own problems rather than pestering the

government is admirable. But he is naive to think that if you simply give more power to

ordinary people, government will fix itself. California empowers its citizens through

ballot initiatives. The result is a mess: they vote for higher spending but lower taxes. It is

not enough just to give people hand-held devices that let them vote for their priorities, as

Mr Newsom argues. You have to design intelligent systems that force them (or their

representatives) to reconcile their contradictory impulses. The Republic is not a reality

show.

Mr Sunstein says the problem is that government is not just old-fashioned but over-

complicated. Nothing alienates people (or empowers clever lobbyists) so much as

complexity. And nothing imposes so many unnecessary costs. But Mr Sunstein claims

that he and his colleagues at the Office of Information and Regulatory Affairs have

conducted a successful (if unheralded) war against complexity. They have re-examined

old laws to remove outdated bits. They have subjected new laws to rigorous cost-benefit

analysis. And they have done their best to ensure that rules are easy to understand. Mr

Sunstein argues that his own great passion—nudging people to make sensible choices—is

perfectly compatible with simplicity. The best companies are good at combining the two,

encouraging people to become or remain customers. Government is learning to be just as

clever.

Mr Sunstein has indeed hacked back some thickets of regulation. But the problem is that

far bigger thickets have grown up at the same time: the Affordable Care Act (Obamacare)

and the Dodd-Frank financial reforms, both passed in 2010, are hundreds of bewildering

pages long, partly because Congress regards laws as comprehensive instruction manuals

rather than broad guidelines. America‘s tax code has almost tripled in volume over the

past decade, to 3.8m words. Nine out of ten tax-filers pay for help to complete their

returns. And the federal government remains a maze: the Interior Department oversees

salmon while they are in freshwater but the Commerce Department takes over as soon as

they swim into saltwater. Mr Sunstein prefers to focus on his own office. But you expect

a bigger picture from a book subtitled ―The Future of Government‖; perhaps even the odd

mention of foreign countries that have done a better job than America of reducing

complexity.

Messrs Newsom and Sunstein are part of a growing army of Democrats who recognise

that their party needs to reinvent government. But compared with the vast challenges of

reforming Congress and taming the public-sector unions, what they offer in their books is

little more than well-intentioned tinkering.

# 38. Which of the following is NOT an issue that the Newsom and Sunstein have with

the government?

A ) Government is top-down, while the private sector is bottom-up

B ) Government manuals are elaborate exercises in complexity

C ) Government will fix itself if people are given more powers

D ) Government departments have poorly designed roles

SOLUTION

The correct choice is (C). Answer – ‗Government will fix itself if people are given more

powers‘

‗Government is top-down….‘ can be inferred from paragraph 2.

‗Government manuals are….‘ can be inferred from paragraph 4

‗Government departments have….‘ can be inferred from ―the Interior Department

oversees salmon while they are in freshwater but the Commerce Department takes over

as soon as they swim into saltwater.‖ ‗Government will fix itself if ….‘ is a

recommendation that Newsom has for the government. It‘s not a problem.

Hence option C

# 39. What does the author mean when he says in the first paragraph: Both present

themselves as post-partisan?

A ) Newsom and Sunstein want people with diverse political affiliations to heed their call

B ) Newsom and Sunstein do not mention politics since it is a deeply partisan sphere

C ) Newsom and Sunstein boast their Democratic credentials to buff up the strength of

their arguments

D ) Though Democrats, Newsom and Sunstein have a positive outlook towards other

political affiliations

SOLUTION

The correct choice is (D). Answer - Though Democrats, Newsom and Sunstein have a

positive outlook towards other political affiliations.

Post-partisan means that N & S are willing to engage with people from other

parties/ideologies. As evidence the author says: Mr Newsom strokes the tea party; Mr

Sunstein boasts that David Cameron, Britain’s Conservative prime minister, is a fan of

“Nudge”. But both argue that Barack Obama has done a lot to improve American

government.

‗Newsom and Sunstein want people with….‘ is not implied from the statement.

‗Newson and Sunstein do not mention…‘ and ‗Newson and Sunstein boast their…‘ are

wrong.

Hence option D

# 40. What is the authors view on the books of Newsom and Sunstein?

A ) Dismal and worth overlooking

B ) Noble but unlikely to effect change

C ) Impractical but potentially beneficial

D ) Ground breaking and worth immediate implementation

SOLUTION

The correct choice is (B). Answer - Noble but unlikely to effect change.

Look at the last line of the passage: But compared with the vast challenges of reforming

Congress and taming the public-sector unions, what they offer in their books is little more

than well-intentioned tinkering.

The author says they are well-intentioned but a lot of work remains to be done before

their ideas can be considered.

‗Dismal and worth overlooking‘ and ‗Impractical but potentially beneficial‘ are wrong

because they are critical.

‗Ground breaking and worth immediate implementation‘ is too positive.

Hence option B

# 41. Which of the following comes closest to the meaning of supplicant as used in the

passage?

A ) Those who seek favours

B ) Those who override others

C ) Those who know their rights

D ) Those who hate government

SOLUTION

The correct choice is (A). The meaning of supplicant is one who requests assistance. Here

it means people who look upon the government as a helping hand rather than an entity

that they constitute.

Hence option A

Questions 42 to 44: Answer the questions after going through the information given

below:

A factory makes only scooters and bikes. The vehicles are either two-stroke or four-

stroke and the engines are either air-cooled or water-cooled. A total of 500 vehicles are

made on any day out of which 150 are scooters and 200 are two stroke vehicles. 50

scooters are two stroke and 80 four-stroke bikes are air-cooled. 30 two-stroke scooters are

air-cooled. The total number of air-cooled two-stroke bikes and air-cooled four-stroke

scooters is 120.

# 42. How many scooters are two-stroke but not air-cooled?

A ) 10

B ) 20

C ) 30


SOLUTION

The correct choice is (B). As each vehicle will be wither Scooter or Bike, two-stroke or

four-stroke, Air-Cooled or Water-Cooled, we can represent the same using a 3 variable

venn diagram.

For example, the circle of scooter represents the vehicles which are scooter,

i.e. a + b + d + e = 150

Also, the remaining four areas c + f + g + h = 350

Here, in the diagram, each area represents a unique combination:

a = Scooter, 4 Stroke, Water Cooled

b = Scooter, 2 Stroke, Water Cooled

c = Bike, 2 Stroke, Water Cooled

d = Scooter, 4 Stroke, Air Cooled

e = Scooter, 2 Stroke, Air Cooled

f = Bike, 2 Stroke, Air Cooled

g = Bike, 4 Stroke, Air Cooled

h = Bike, 4 Stroke, Water Cooled

Equations as per the given data:

b + c + e + f = 200, a + d + g + h = 300, b + e = 50, c + f = 150, a + d = 100, g + h = 200

a + b + d + e = 150, c + f + g + h = 350, d + f = 120, c + f = 150, a + d = 100

g is given as 80. Hence h = 120. Also e is given as 30, hence b = 20.

We have to find out the number of scooters which are two stroke and water cooled. This

is ‗b‘ which is 20.

Hence option B

# 43. How many two-stroke bikes are made every day?

A ) 100

B ) 200

C ) 150


SOLUTION

The correct choice is (C). As each vehicle will be wither Scooter or Bike, two-stroke or


venn diagram.


i.e. a + b + d + e = 150













a + b + d + e = 150, c + f + g + h = 350, d + f = 120, c + f = 150, a + d = 100


We have to find the number of bikes that are two stroke. This is ‗c + f‘ which is 150.

Hence option C

# 44. How many water-cooled vehicles are made every day?

A ) 270

B ) 230

C ) 200


SOLUTION

The correct choice is (A). As each vehicle will be wither Scooter or Bike, two-stroke or


venn diagram.


i.e. a + b + d + e = 150













a + b + d + e = 150, c + f + g + h = 350, d + f = 120, c + f = 150, a + d = 100


We have to find the number of water cooled vehicles made every day. This is ‗a + b + c +

h‘ or 500 – ‗d + e + f + g‘. We know that e = 30, g = 80 and d + f = 120. Hence ‗d + e + f

+ g‘ = 230. So ‗a + b + c + h‘ = 500 – 230 = 270.

Hence option A

# 45. Identify the INCORRECT sentence(s) in terms of grammar, spelling and

punctuation.

A) Taming inflation takes time.

B) Thatcher confronted powerful trade unions, who had built an adhesive and spiralling

core into British inflation by constant work stoppages in search of wage hikes.

C) Her victory over the unions was among the most artful of her many battle.

D) By demanding that they take a ballot of union members before going on strike, she

exposed the anti-democratic world of swagger and cigar inhibited by union bosses.

A ) A & B

B ) B & C

C ) C & D

D ) D & A

SOLUTION

The correct choice is (C). Answer – C and D

In C ….among the most artful of her battles. Victory among many battles (should be

plural)

In D, democratic world of swagger and cigar inhabited by...Inhibit means to stop while

inhabit means to occupy or reside

Option (C)

# 46. For the word given at the top of the table, match the dictionary definitions on the left

(A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four

possibilities given in the boxes below the table, select the one that has all the definitions

and their usages correctly matched.

A ) AE, BF, CG, DH

B ) AF, BH, CE, DG

C ) AF, BG, CE, DH

D ) AE, BH, CF, DG

SOLUTION

The correct choice is (B). Answer - AF, BH, CE, DG

Hence option B


below:

There was a draught in the kingdom and the benevolent King wanted to distribute all the

food grain between 100 pupils in his kingdom. He decided to use a unique formula to

distribute the food grain:

He said that the first person should take one hundredth of the entire stock minus 99 kg.

The second person should take one ninety-ninth part of the remaining stock minus 98 kg.

Next person should take one ninety-eighth part of the remaining stock minus 97 kg. This

way the last person would get the entire food grain remaining at that time.

# 47. What should be the minimum quantity of food grains in the store so that every

person receives at least 1 kg of food grains?

A ) 5,000 kg

B ) 10,000 kg

C ) 20,000 kg

D ) 40,000 kg

SOLUTION

The correct choice is (B). If the King had ‗x‘ kgs of food-grain in store, then the

distribution will be as follows:

Person 1:(x/100) – 99Remaining: 99(x + 100)/100



Person 50:(x/100) -1Remaining: 50(x + 5000)/100

Person 51:(x/100) +1Remaining: 49(x + 5100)/100


Person 100: (x/100) +99Remaining: 0(x + 10000)/100

As clear from the formula, minimum food grain will be received by the first person. For

him to receive at least one kg, (x/100) – 99 > 1, hence x > 10,000kgs. Option (2)

# 48. If the King had 20,000 kg of food grains in the store, then after which person would

the remaining food grain be less than half of the original stock?

A ) 50th

B ) 60th

C ) 62nd

D ) 61st

SOLUTION

The correct choice is (C). If the King had ‗x‘ kgs of food-grain in store, then the









Clearly as the food grain received by every person is more than the person before, the

answer should lie in the second half. For fifty people total food grain received = 50

(x/100) – (99 + 97 + 95……+ 1) = (x/2) - 2500 = 7500

For sixty people total food grain received = 60 (x/100) – (99 + 97 + 95……+ 1) + (1 + 3

+ 19) = (3x/5) – 2500 + 100 = 9600

Sixty first person will receive: (x/100) + 21 = 221Total = 9821

Sixty second person will receive: (x/100) + 23 = 223Total = 10044

So, the value becomes less than after when food grain is given to the 62nd

person.

Hence option C

# 49. Which person will get the maximum amount of food-grain?

A ) 1st

B ) 50th

& 51st person

C ) 100th

person

D ) They all will get equal amounts

SOLUTION

The correct choice is (C). If the King had ‗x‘ kgs of food-grain in store, then the









Clearly from the formula, last person will always get the maximum amount of food-grain.

Hence option C

# 50. From the sentences given below identify the sentence that uses the word HOME

incorrectly.

A ) My brother works for an organisation that provides home care for the elderly.

B ) She is at home in film parties. She has been covering them for a decade.

C ) The Republicans wont be home and dry until the last votes have been counted.

D ) I joined the computer course to home my skills.

SOLUTION

The correct choice is (D). Answer – I joined the computer course to home my skills.

The correct usage is home my skills, that is, to develop.

‗She is at home‘ means she is comfortable in film parties

‗Republicans won‘t be home and dry‘ means the republicans won‘t be sure of success

until...

Hence option D

# 51. Select the option that best summarizes the paragraph given below.

It is not easy to say with certainty whether old firms are really old, continuous businesses

or, rather, latterday firms that were once trade associations, state organisations or, say,

religious communities that turned commercial at some stage in their lives. Is, for

example, Château de Goulaine really a 1,000-year-old business or a fine old castle that

has only fairly recently taken to selling wine and displaying butterflies? The Shore

Porters' Society, now a transport firm, whose lorries can be seen all over Europe, was

founded in 1498, but for much of its history it was a semi-public body controlled by the

town of Aberdeen, only gaining full independence in 1850. How long has it been a

genuine business?

A ) The question about the age of the firm is not easy to resolve. Some such as Château

de Goulaine were not even a business a thousand years ago

B ) The question about the age of the firm is not easy to resolve. Some companies

were earlier trade associations, state organisations or religious communities

C ) Examples like Château de Goulaine and the Shore Porters Society show how perilous

it can be to determine the age of a firm

D ) The age of a firm can never be established since there is no way the transformation of

an organisation into a business can be determined with certainty

SOLUTION

The correct choice is (B). Answer - The question about the age of the firm is not easy to

resolve. Some companies were earlier trade associations, state organisations or religious

communities.

The problem with ‗The question about the age of the firm is not easy to resolve. Some

such as Château de Goulaine……‘ is that it is too specific. Also nowhere in the passage

is it claimed that there is a possibility that Château de Goulaine was a business 1000

years ago.

‗Examples like Château de Goulaine…..‘ is incomplete. Those examples illustrate

something, namely, how the nature of an organisation makes it difficult to determine the

age of its business.

‗The age of a firm….‘ is extreme since it says ―never‖

‗The question about the age of the firm is not easy to resolve. Some companies were

earlier trade……‘ is the best answer since is relates the difficulty with the nature of the

firm.

Hence option B

Questions 52 to 54: Answer the questions based on the passage given below.

What we are witnessing in Italy is remarkable, and at times scarcely believable. After five

failed attempts to elect a new president, an electoral college that includes the members of

both chambers of parliament, has plumped for the incumbent, Giorgio Napolitano, who is

87 years old.

Desperate to retire, Mr Napolitano had ruled himself out as a candidate. But the leaders

of the two biggest mainstream parties, Pier Luigi Bersani, the secretary general of the

centre-left Democratic Party (PD), and Silvio Berlusconi, the de facto leader of the

conservative People of Freedom (PdL), had earlier gone to the Quirinal palace to beg him

to stay on. Poor Mr Napolitano wearily agreed.

In the ballot that followed he received 738 votes out of a possible 1,007. It is the first

time in the 65-year history of the Italian republic that a president has been voted in for a

second term. The insistence on Mr Napolitano‘s return came against a background of

almost deafening calls from the younger generation of Italians for new faces, new

policies and a form of politics less oppressively dominated by the country's almighty

parties.

The most obvious and radical expression of their demands is in the Five Star Movement

(M5S), co-founded by a former comedian, Beppe Grillo. But it is also clearly discernible

in the radical Left, Ecology and Freedom (SEL) party and in parts of the traditional

parties, notably the moderate faction within the PD that looks to Matteo Renzi, the young

mayor of Florence. The mainstream party leaderships ignored them all.

Mr Bersani and Mr Berlusconi had originally tried to stitch-up the presidency by agreeing

on Franco Marini, a former Christian Democrat trade unionist. When that failed, Mr

Bersani opted instead for a clearly partisan choice, the former centre-left prime minister

and European Commission president, Romano Prodi. But the luckless Mr Prodi‘s

candidacy was torpedoed by rebels from within the PD.

At all events, factional interests took precedence over those of the party in a way that its

members, and the voters, will not easily forget. Mr Bersani, doubly humiliated,

announced that he would resign as soon as the presidential contest was settled.

When the deciding vote was cast in favour of Mr Napolitano, Mr Bersani wept. Mr

Berlusconi smiled broadly. And with good reason. The re-election of Mr Napolitano

leaves the PD (never a very convincing fusion of ex-communists and former Christian

Democrats) in outright disarray. It also revives the prospects of a left-right coalition of

the sort that Mr Berlusconi has been calling for ever since the general election two

months ago gave Italy a hung parliament. That would not perhaps hand the widely

discredited former prime minister a seat in cabinet, but it would most certainly hand him

renewed influence over the affairs of the nation at a time when he is a defendant in four

trials.

That is one possible outcome. The name most widely touted as the next head of

government was that of the 74 year-old Giuliano Amato who first held the job more than

20 years ago. The other possibility is that Mr Napolitano could form another non-party,

technocratic government like the one headed by Mario Monti, the outgoing prime

minister.

Mr Grillo has called for a demonstration in Rome, describing the re-election of the

president a "coup d'etat" by the old guard. It was not that. The parties who elected Mr

Napolitano took roughly two-thirds of the votes in the general election. And, in any case,

Mr Grillo, who has never been elected by anyone, is not in a position to give lessons on

democracy.

There is a strong case for arguing that this lacerating presidential ballot has re-drawn

more starkly than ever before the battle lines in Italian politics. Once they ran between

right and left. Now they separate the old and tired from the new and young. For the

foreseeable future, the old and tired are firmly back in control.

# 52. Which of the following is NOT a reason for the authors disagreement with Mr

Grillo?

A ) He has never won an election

B ) The man chosen as President was selected by majority-voted parties

C ) It was a coup detat by the old guard

D ) Each of the above is a reason

SOLUTION

The correct choice is (C). Answer - It was a coup d‘etat by the old guard.

Refer to the second last paragraph. Both, ‗He has never won an election‘ and ‗The man

chosen as President was elected by majority-voted parties‘ are mentioned as reasons. ‗It

was a coup d‘etat by the old guard‘ is not.

Hence option (C)

# 53. Which of the following captures Mr Bersanis role in the episode?

A ) He tried to stitch up numbers for his choice, unsuccessfully

B ) He wanted to be President himself

C ) He wanted to do everything possible to not let Berlusconi become President

D ) He was sentimental and theatrical

SOLUTION

The correct choice is (A). Answer - He tried to stitch up numbers for his choice,

unsuccessfully.

Refer to the fifth paragraph. It clearly explains that Bersani had another choice, Romano

Prodi, but failed to muster numbers in his support. ‗He wanted to be President himself‘

and ‗He wanted to do everything….‘ are not implied anywhere. ‗He was sentimental and

theatrical‘ is meaningless.

Hence option A

# 54. Which of the following is the best replacement for the word ‗lacerating‘ in the line:

There is a strong case for arguing that this lacerating presidential ballot has re-drawn

more starkly than ever before the battle lines in Italian politics?

A ) Bloody

B ) Torturous

C ) Deeply painful

D ) Having sharp edges

SOLUTION

The correct choice is (C). Answer – Deeply painful

The lacerating presidential ballot means an election that is not acceptable to most Italians,

and is therefore painful. ‗Bloody‘ is wrong, there was no blood. Torturous is wrong too,

torture is too strong a word. ‗Having sharp edges‘ is meaningless. It was lacerating

because it was long drawn and divisive and thus painful.

Hence option C

# 55. Identify the INCORRECT sentence(s) in terms of grammar, spelling and

punctuation.

A) There are moments during first encountering a writers work that set the tone for the

relationship a reader will have.

B) Very early in Garbadale, Fielding visits a Scottish housing estate in search of his

cousin Alban.

C) Banks locates him quickly, with a mix of acid wit and highly particular detail.

D) On Fieldings initial approach, he notes long blocks of three- and four-storey flats

covered in patchy pebble-dash spotted with poor graffiti.•

A ) Only A

B ) Only B

C ) Only C

D ) Only D

SOLUTION

The correct choice is (A). Answer - There are moments during first encountering a

writer‘s work that set the tone for the relationship a reader will have.

There are moments when first encountering...

Hence option A

# 56. The question below has a set of four statements. Each statement can be classified as

one of the following. Choose the answer option that reflects the classification of the four

statements.

- Facts deal with pieces of information that one has heard, seen or read, and which are

open to discovery or verification. The answer option indicates such a statement with an F.

- Inferences, which are conclusions drawn about the unknown, on the basis of the known.

The answer option indicates such a statement with an I.

- Judgments, which are opinions that imply approval or disapproval of persons, objects,

situations and occurrences in the past, present or future. The answer option indicates such

a statement with a J.

A) With fewer regional players, average fares have risen by 24% in two years.

B) Most of the steep fall in revenue is attributed to rising fuel costs and hefty take-off

taxes.

C) Tour operators are dismayed, fearing that hitherto small declines in tourist numbers

will accelerate into total collapse.

D) In the space of five days, Air Botswana axed and then reinstated two popular tourist

routes.

A ) FIII

B ) FFJF

C ) FIJI

D ) FIJF

SOLUTION

The correct choice is (D). Answer - FIJF

‗With fewer regional players, average….‘ is clearly a fact.

‗Most of the steep fall in revenue…‘ is an inference because it is speaking of what the

steel fall in revenue has been attributed to. Each of the reasons can be factually verified.

‗Tour operators are dismayed…‘ is a judgement. There is no way to measure dismay.

‗In the space of five days….‘ is a fact.

Hence option A

# 57. The sentences 1, 2, 3, and 4 when properly sequenced, form a coherent paragraph.

From among the four choices given below the question, choose the MOST LOGICAL

ORDER of sentences that constructs a coherent paragraph.

1) Lossmaking South African Airways axed one of its two routes to London last summer.

2) Zambia and Zimbabwe have no airlines of their own, leaving incoming traffic at the

mercy of foreign airlines fickle business plans.

3) Bizarrely, Zambias politicians boast that they have pre-emptively protected a new

national carrier that does not actually exist yet, and in which they do not want to invest.

4) Worse, the regions protectionist governments have thrown up barriers against each

others airlines.

A ) 2134

B ) 2143

C ) 1234

D ) 1432

SOLUTION

The correct choice is (B). Answer - 2143

1 and 2 give two instances of problems with airlines in Africa. There is no way to say

which will come first, so both 12 and 21 are correct. But 43 is a pair. In 4, the author is

talking of protectionism and in 3 gives an example. Therefore, the only option is 2143.

Hence option B


below:

Ram is confused about what toppings he should add on his pizza. If he adds chicken, then

he would not like to add mutton or pepperoni. If he adds mushrooms then he would add

either tomato or olives, but not both. If he adds onions, then he would not like to add

tomato. If he adds olives, then he would add baby corn also. He will definitely add extra

cheese and mushroom on his pizza.

# 58. If he wants to add only four topping on this pizza, then which of the following can

he add

A ) Extra cheese, mushroom, tomato, chicken

B ) Extra cheese, mushroom, tomato, pepperoni

C ) Extra cheese, mushroom, olives, baby corn

D ) All of the above

SOLUTION

The correct choice is (D). As Ram must choose Extra Cheese and Mushroom, he will

choose either of tomato or olives with it. If he chooses, olives, he will have to take baby

corn also. If he takes tomato, then he cannot take onion.

Hence the possible combinations for 4 items are;

Extra cheese, mushroom, tomato, chicken

Extra cheese, mushroom, tomato, pepperoni

Extra cheese, mushroom, tomato, mutton

Extra cheese, mushroom, olives, baby corn

Hence option D

# 59. Which of the following item will he never be able to add on his pizza?

A ) Tomato

B ) Onions

C ) Baby corn

D ) None of these

SOLUTION

The correct choice is (D). As Ram must choose Extra Cheese and Mushroom, he will

choose either of tomato or olives with it. If he chooses, olives, he will have to take baby

corn also. If he takes tomato, then he cannot take onion.

Hence the possible combinations for 4 items are;

Extra cheese, mushroom, tomato, chicken

Extra cheese, mushroom, tomato, pepperoni

Extra cheese, mushroom, tomato, mutton

Extra cheese, mushroom, olives, baby corn

If we select four items only then onion cannot be selected. As tomato is there, onion

cannot be selected. If we take olives, then baby corn has to be taken and hence no other

item can be taken. However, it we take 5 items, then extra cheese, mushroom, olives,

baby corn and onion is possible. Hence all the items can be taken in different

combinations.

Hence option D

# 60. If CABLE is coded ZCDAY, then STABLE will be coded as

A ) TPADAY

B ) TPCDCY

C ) TPCDAY

D ) TPCYAY

SOLUTION

The correct choice is (C). This question can easily be solved from the answer choices. As

the last four letters of CABLE and STABLE are same, the last 4 letters of the answer

should be same as the code for CABLE, i.e. CDAY. This is correct only in option (C),

hence that is the answer.

Hence option C

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