Download - All India P.T. Test Series CSAT (General Mental Ability)

8/10/2019 All India P.T. Test Series CSAT (General Mental Ability)

1/8

Time Allowed: Two Hours Maximum Marks: 200

GENERAL MENTAL ABILITY

SET NO: 04

INSTRUCTIONS

1. IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD

CHECK THAT THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR

MISSING PAGES OR ITEMS, ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST

BOOKLET.

2. ENCODE CLEARLY THE TEST BOOKLET SET NUMBER IN THE APPROPRIATE PLACE IN

THE ANSWER SHEET.

3. You have to enter your Roll Number on the test Booklet

in the Box provided alongside.DO NOT write anythingelse on the Test Booklet.

4. This Test Booklet contains 80 items (questions). Each item is printed in English only. Each item comprises

four responses (answers). You will select the response which you want to mark on the Answer Sheet. In

case you feel that there is more than one correct response, mark the response which you consider the

best. In any case, choose ONLY ONE response for each item.More than one response will be treated

as wrong answer.

5. In case you find any discrepancy in this test booklet in any question(s) or the Responses; a writtenrepresentation explaining the details of such alleged discrepancy, be submitted within three days, indicating

the Question No(s) and the Test Booklet Series, in which the discrepancy is alleged. Representation not

received within time shall not be entertained at all.6. You have to mark all your responses ONLYon the separate Answer Sheet provided.

7. All items carry equal marks.

8. For each question for which a wrong answer has been given by the candidate, one third (-0.33 %) of

the marks assigned to that question will be deducted as penalty. There will be no penalty for a question

which is left blank.

9. Before you proceed to mark in the Response Sheet, the response to various items in the Test Booklet

you have to fill in some particulars in the Response Sheet as per instructions sent to you with your Admit

Card and Instructions.

10. While writing Name and Roll No. on the top of the Response Sheet in appropriate boxes use "ONLYBLACK BALL POINT PEN".

11. After you have completed filling in all your responses on the Response Sheet and the examination has

concluded, you should hand over to the Invigilator only the Response Sheet. You are permitted to take

away with you the Test Booklet.

IAS P.T. TEST SERIES - 2014

Head Off: Rajender Nagar

Off No. 06 Ist Floor, Apsara Arcade,Karol Bagh, New Delhi-5

North Campus

A - 19, 3rd Floor, Priyanka Tower,Dr. Mukherjee Nagar, New Delhi-9

www.facebook.com/iasscore Website:iasscore.in

9953595114

By S.K. Mishra, IAS (Retd.) & Manoj K. Jha


2/8IAS TEST SERIES 20142

GSSCO

RE

1. If x =7 5

7 5 and y =

7 5

7 5

, find x3+ y3.

(a) 1962 (b) 1692

(c) 1269 (d) 2196

2. The sum of two numbers is 29 and thedifference of their squares is 145. The difference

between the numbers is:(a) 13 (b) 5

(c) 8 (d) 11

3. Which of the two numbers is greater, 2300 or320 0?

(a) 230 0

(b) 320 0

(c) Both are equal

(d) Not possible to say without log tables

4. The product of two two-digit numbers is 2160and their G.C.D is 12. The numbers are:

(a) 72, 30 (b) 36, 60

(c) 96, 25 (d) None of these

5. The number of prime factors in the expression(6)10 (7)17 (11)27 is:

(a) 54 (b) 2

(c) 3 (d) 4

6. The length of the minute hand of a clock is 8cm. Find the distance travelled by its outer endin 15 minutes.

(a) 16 (b) 32

(c) 4 (d) 18

7. 24 is divided into two integral parts such that7 times the first part added to 5 time the secondpart makes 146. The first part is:

(a) 11 (b) 13

(c) 16 (d) 17

8. The difference between a discount of 40% onRs 500 and two successive discounts of 36%and 4% on the same amount is:

(a) 0 (b) Rs. 2

(c) Rs. 1.93 (d) Rs. 7.20

9. If m and n are integers and mn is 10. Which

of the following cannot be the value of m + n?

(a) 29 (b) 25

(c) 52 (d) 50

Directions (Q 10-13):Read the following informationto answer questions:

1. Four men, Ved Prakash, Jag Mohan,Mukesh and Trilok are sales manager,lecturer, accountant and doctor byprofession accompanied their children to acircus. Each person was with one childonly.

2. Trilok and Jag Mohan came with their sonsand they were not doctor or sales manager

3. Nanu, a sweet little girl, was not thedoctor's daughter.

4. Gaurav is not Jag Mohan's son.

5. Saurabh's (who is a boy) father is not anaccountant.

6. Tanu is not Mukesh's daughter.

10. The sales manager's child is:

(a) Tanu

(b) Nanu

(c) Gaurav

(d) Saurabh

11. Who is Gaurav's father and what is he?

(a) Trilok - Sales manager

(b) Ved Prakash - Sales manager

(c) Mukesh - Accountant

(d) Trilok - Accountant

12. If Saurabh and Gaurav are cousins, which twomen are brothers?

(a) Ved and Mukesh

(b) Ved and Trilok

(c) Jag Mohan and Mukesh

(d) Jag Mohan and Trilok

13. Who is Tanu's Father and what is he?

(a) Ved Prakash - Doctor

(b) Trilok - Accountant(c) Ved Prakash - Sales manager

(d) Jag Mohan - Lecturer

14. P,Q,R are consecutive integers. Which of thefollowing is true?

(a) P+Q+R is always even

(b) P+Q+R is always odd

(c) P+2Q+R is always even

(d) P+2Q+R is always odd


3/8IAS TEST SERIES 2014 3

GSSCO

RE

15. What is the sum of the 11 terms of an

Arithmetic Progresion whose 3rd term is 10 and

the 9th term is 20?

(a) 135

(b) 165

(c) 330

(d) None of these

16. How many three digit odd nos. can be formed

from the digits : 2, 0, 3, 5? (repetition not

allowed).

(a) 8 (b) 4

(c) 12 (d) 6

17. How many diagonals does a decagon have?

(a) 25 (b) 45

(c) 35 (d) 55

Directions (Q 18-20): are based on the informationgiven below.

The six faces of a cube are coloured black, brown,

green, red, white and blue.

(i) Red is opposite to black

(ii) Green is between red and black

(iii) Blue is adjacent to white

(iv) Brown is adjacent to blue

(v) Red is at the bottom

18. Which colour is opposite to brown

(a) White

(b) Red

(c) Green

(d) Blue

19. The four adjacent colours are

(a) black, blue, brown, red

(b) black, blue, brown, white

(c) black, white, red, blue

(d) black, brown, red, white

20. Which of the following can be deduced from

(i) and (v)?

(a) Black is on the top

(b) Blue is on the top

(c) Brown is on the top

(d) Brown is opposite to black

Direction (Q 21-22): An Inspector has discovered

that 5 people were involved in the murder of Miss

Batliwala. Nine suspects are short listed by him.

Maina, Naina and Raina are women. Ooman,

Sangha, Topaz, Unni, Vasu and Wagle are men

Through intelligent deliberation and analysis, Ghote

has also made a checklist of points.

I) There were at least two women involvedin the crime.

II) Raina will never collude with Ooman.

III) Sangha and Topaz will always commit

crimes together.

IV) Unni and Vasu never work together.

21. If Maina was involved in the crime and Naina

is not, which statements given below are true

Necessarily.

I) Either Unni or Vasu but not both areinvolved.

II) Sangha and Topaz will be involved

Select the correct code:

(a) Only I

(b) Only II

(c) Both I and II

(d) Either I or II

22. Greatest number of combinations are possibleif which of the following are definitely involved

in the crime.

(a) Sangha and Topaz

(b) Vasu

(c) Raina

(b) Wagle

23. Doubling the perimeter of a triangle, keeping

the shape the same, multiplies the area by

(a) 2 (b) 3(c) 4 (d) 8

24. The probability that A can solve a problem is

3

5, for B it is

2

5. What is the probability of

problem being solved when both of them

attempt the problem together?

(a) 31/35 (b) 12/25

(c) 6/25 (d) 19/25



GSSCO

RE

25. The average of a set of seven consecutive

integers is (x + 1) and that of a different set of

seven consecutive integers is (x 1). Find the

average of all the integers in both the sets

considering all the common integers only once.

(a) x

(b) x + 2

(c) x 12

(d) x + 1

26. A few tickets of a show are sold at Rs.10 per

ticket and the other tickets are sold at Rs.12

per ticket. In all, 100 tickets are sold on a specific

day. If the amount collected on that day was

Rs.1056, find the number of tickets sold at Rs.12.

(a) 72 (b) 62

(c) 28 (d) 38

27. In a college, 5/9thof the students are boys and

the remaining are girls. On a particular day,

4/5thof the boys and 7/8thof of the girls were

absent. How many more boys were absent than

the girls, if total number of boys is 80 more

than the number of girls?

(a) 6 (b) 75

(c) 45 (d) 40

28. In ABC Company, 60% of the employees aremen and 48% of the employees are engineers

and 66.67% of these are men. What percentage

of women are engineers?

(a) 33.33 (b) 40

(c) 52 (d) 46.6

29. In how many ways can 10 puppies (all look

alike) be sold to 6 men, given that every puppy

must be sold and each man must have at least

one puppy?

(a) 15 C5

(b) 9C6

(c) 10 C6

(d) 9C5

30. The length of a rectangle is decreased by 20%

and breadth increased by 20%. The area will

(a) decrease by 40%

(b) remain the same

(c) increase by 4%

(d) decrease by 4%

31. How many words (both meaningful and

meaningless) can be formed using all the letters

of the word ABRACADABRA such that all the

consonants come together?

(a) 26!

(2!) 5!

(b)

2

2

(6!)

(2!) 5!

(c)6!

5!

(d) None of these

32. If x2y3z



GSSCO

RE

36. The work done by a man, a woman and achild is in the ratio of 3 : 2 : 1 and the wagesthat they receive are proportional to the workdone by them in a week. There are 20 men, 30women and 36 children in a factory. Theirweekly wages amount to Rs.780. What will bethe wages of 15 men, 21 women and 30 childrenfor a month, which is made of 4 working

weeks?(a) Rs. 5850 (b) Rs. 2925

(c) Rs. 2340 (d) Rs. 1170

37. Vikas leaves Aravali hostel and walks towardsWest. After walking a distance of 30 metres, heturns right and walks 20 metres. He then turnsleft and moves 10 metres before taking anotherleft and walking 40 metres. He then takesanother left turn and walks 40 metres beforetaking a final left turn. If Aravali hostel is the

origin then all other hostels are at a distance of500 metres from it such that Nilgiri hostel liesto its North, Karakoram lies to the South,

Jwalamukhi lies to the East and Kailash lies tothe West. Towards which hostel is Vikas finallywalking?

(a) Nilgiri

(b) Karakoram

(c) Kailash

(d) Jwalamukhi

38. A rectangular pool of 20 m wide and 60 mlong is surrounded by a walkway of uniformwidth. If the total area of the walkway is 516m2, how wide, in metres, is the walkway?

(a) 43 m (b) 3 m

(c) 2.5 m (d) 3.5 m

39. Janshakti Constructions Limited undertakes toconstruct a road 1000 metres long in 50 days.It initially uses 56 road-rollers and finds at theend of 27 days that only 448 metres of the road

has been built. How many more road-rollersmust be used so that the work may be finishedon schedule?

(a) 81 (b) 25

(c) 38 (d) 58

40. Which of the following cannot be the greatestcommon divisor of two positive integers xand y

(a) 1 (b) x

(c) y (d) x + y

41. Deepak had to do a multiplication. Instead oftaking 35 as one of the multipliers, he took 53.

As a result, the product went up by 540. What

is the new product?

(a) 1050 (b) 540

(c) 1440 (d) 1590

42. In a chess tournament, a player gets one point

for every game won, point for a draw and0 point for a loss, A grandmaster played 11

games without losing and scored 9 points. How

many games did he win?

(a) 4 (b) 6

(c) 7 (d) 8

43. Consider a 99 digit number created by writing

side by side, the first fifty four natural numbersas follows: 12345678910111213 5354

The above number when divided by 8 will leavea remainder of

(a) 6 (b) 4

(c) 2 (d) 0

44. A number, K, is a positive integer with the

special property that 3 times its unit is equal to

2 times its 10 digit. How many such numbers

exist between 10 & 99?

(a) 2 (b) 3

(c) 4 (d) 5

45. Let S be the set of prime numbers greater than

or equal to 2 and less than 100. Multiply allelements of S. With how many consecutive zeros

will the product end?

(a) 1 (b) 4

(c) 5 (d) 10

46. An old man has Rs (1! + 2! + 3! + ...+ 50!), allof which he wants to divide equally (without

fractions) among his n children. Then, n may be

(a) 5 (b) 7

(c) 9 (d) 11

47. In an election between two candidates, thecandidate who gets 30% of the votes polled is

defeated by 15000 votes. The number of votespolled for the winning candidate is:

(a) 11250 (b) 15000

(c) 26250 (d) 3100



GSSCO

RE

48. A student took five papers in an examination,

where the full marks were the same for each

paper. His marks in these papers were in the

proportion of 6:7:8:9:10. In all papers together,

the candidate obtained 60% of the total marks.

Then the of papers in which he got more than

50% marks is:

(a) 2 (b) 3(c) 4 (d) 5

49. If you get 50 successive discounts of 2%, 4%,

6%, 8% etc. on marked price P (P 0) of a car.

How much will you have to pay for it?

(a)P

100

(b) P(.01)50

(c) P(.1)100

(d) None of these

50. Two numbers x and y are such that x = y2. If

y is increased by 10% then x is increased by

(a) 100% (b) 15%

(c) 40% (d) 21%

51. Rahul invests Rs.32,000 in a bank, 7% p.a.

simple interest. How much more should he

invest at 10% p.a. to get 8% return on his total

investment?

(a) Rs. 8,000 (b) Rs. 16,000

(c) Rs. 24,000 (d) None of these

52. A man has enough money to buy either 30

toffees or 40 peppermints. He decides to spend

only 90% of the amount overall, and buy 20

peppermints. How many toffees can he buy?

(a) 10 (b) 12

(c) 20 (d) 24

53. The selling price of an article is Rs.180 more

when it is sold at a 3.75% profit instead of a

3.75% loss. Find the cost price (in Rs.) of the

article.

(a) Rs. 2400

(b) Rs. 2000

(c) Rs. 2640

(d) Rs. 2440

54. A businessman marked the price of his goods30% more than his CP. He then sells of his

stock at a discount of 15%, and half of the

stock at the marked price, and the rest at a

discount of 30%. Find his gain %.

(a) 16.5% (b)3

158

%

(c) 14.20% (d) 13.37%

55. On a certain assembly line, the rejection rate

for Monday's production was 4 %, for Tuesday

it was 8% and for the two days combined 7%.What was the ratio of Tuesday's production to

Monday's production.

(a) 3:1 (b) 2:1

(c) 1:3 (d) 1:2

56. A vendor has a certain number of frames. If he

sells each of the them at Rs. 7, he gains Rs.20

on the whole, while if he sells them at Rs.8.50each, he gains Rs.80 on the whole. At what

price has he bought all the frames?

(a) 180 (b) 240

(c) 320 (d) 260

57. If a carton containing a dozen crockery plates

is dropped, then which of the following cannot

be the ratio of broken and unbroken plates?

(a) 2 : 1(b) 3 : 1

(c) 4 : 1

(d) Will depend on how many mirrors break

Direc ti ons (Q 58-60) : Refer to the following

information: Alphonso, on his deathbed, keeps half

his property for his wife and divides the rest equally

among his three sons Ben, Carl and Dave. Someyears later Ben dies leaving half his property to his

widow and half to his brothers Carl and Dave

together, shared equally. When Carl makes his willhe keeps half his property for his widow and therest he bequeaths to his younger brother Dave. When

Dave dies some years later, he keeps half his property

for his widow and the remaining for his mother

The mother now has Rs 1,575,000.

58. What was the worth of the total property?

(a) Rs. 30 lakh (b) Rs. 8 lakh

(c) Rs. 18 lakh (d) Rs. 24 lakh



GSSCO

RE

59. What was Carl's original share?

(a) Rs. 4 lakh

(b) Rs. 12 lakh

(c) Rs. 6 lakh

(d) Rs. 5 lakh

60. What was the ratio of the property owned bythe widows of the three sons, in the end?

(a) 7:9:13 (b) 8:10:15

(c) 5:7:9 (d) 9:12:13

Directions:There are 2 containers of the same heightand the same base radius. One is a right circularcone and the other is a cylinder. The cone iscompletely filled with milk and the cylinder iscompletely filled with water.

61. The contents from both the containers areemptied into a third vessel. What is the ratio ofmilk to water in the third container?

(a) 1:1

(b) 3:1

(c)1

3:1

(d) None of these

62. If both the containers are emptied to half theirheights into the third container, the ratio ofmilk to water in the third container is

(a) 1:3 (b) 3:7

(c) 2:3 (d) 7 :12

63. The ratio of the first and second class faresbetween two stations is 4 : 1 and that of thenumber of passengers traveling by first andsecond class is 1 : 40. If Rs 1100 is collected asfare, the amount collected from first classpassenger is:

(a) Rs. 275

(b) Rs. 315(c) Rs. 137.50

(d) Rs. 100

64. A tank is filled with water and oil in theproportion 5 : 3. When 16 gallons of the mixtureare drawn off and the tank filled with 16 gallonsof oil, the proportion becomes 3 : 5. How manygallons does the tank contain?

(a) 30 (b) 40

(c) 45 (d) 25

65. A shipping clerk has five boxes of different but

unknown weights each weighing less than 100

kgs. The clerk weighs the boxes in pairs. The

weights obtained are 110, 112, 113, 114, 115,

116, 117, 118, 120 and 121 kgs. What is the

weight, in kgs, of the heaviest box?

(a) 60

(b) 62(c) 64

(d) cannot be determined

66. The average marks of a student in ten papers

are 80. If the highest and the lowest scores are

not considered, the average is 81. If his highest

score is 92, find the lowest.

(a) 55

(b) 60

(c) 62(d) Cannot be determined.

67. Fresh grapes contain 90% water by weight

while dried grapes contain 20% water by

weight. What is the weight of dry grapes

available from 20 kg of fresh grapes?

(a) 2 kg

(b) 2.4 kg

(c) 2.5 kg

(d) None of these

68. The length of perpendicular and the base of a

right angled triangle are 84 cms and 288 cms

respectively. Calculate the length of hypotenuse

(in cms)

(a) 200 (b) 300

(c) 150 (d) 350

69. Sum of all the angles (in degress) of a regular

decagon will be equal to:(a) 1445 (b) 1465

(c) 1440 (d) 1460

70. The average of 5 consecutive integers starting

with m as the first integer is n. What is the

average of 9 consecutive integers that start with

m+2?

(a) m+4 (b) n+6

(c) n+3 (d) n+4



GSSCO

RE

71. If apples are bought at the rate of 30 for arupee. How many apples must be sold for arupee so as to gain 20%?

(a) 28 (b) 25

(c) 20 (d) 22

72. 6 letters are to be placed in 6 addressedenvelopes. Each letter is assigned for an

envelope. In how many ways these letters canbe put in these envelopes such that exactly oneletter goes in the correct envelope.

(a) 264 (b) 260

(c) 270 (d) None of these

73. In how many ways atleast 5 students can beselected from 9 students.

(a) 256

(b) 512

(c) 128(d) None of these

74. What is the probability that a two digit numberselected at random will be a multiple of '3' andnot a multiple of '5'?

(a) 2/15 (b) 4/15

(c) 1/15 (d) 4/90

75. I travel the first part of my journey at 40 kmphand the second part at 60 kmph and cover the

total distance of 240 km to my destination in 5hours. How long did the first part of my journeylast?

(a) 4 hours

(b) 2 hours

(c) 3 hours

(d) 2 hours 24 minutes

76. Instead of walking along two adjacent sides ofa rectangular field, a boy took a short cut alongthe diagonal and saved a distance equal to halfthe longer side. Then the ratio of the shorterside to the longer side is

(a) 1/2 (b) 2/3

(c) 1/4 (d) 3/4

77. A can complete a project in 20 days and B cancomplete the same project in 30 days. If A andB start working on the project together and Aquits 10 days before the project is completed,in how many days will the project becompleted?

(a) 18 days (b) 27 days

(c) 26.67 days (d) 16 days

78. X alone can do a piece of work in 15 days andY alone can do it in 10 days. X and Y undertookto do it for Rs. 720. With the help of Z they

finished it in 5 days. How much is paid to Z?(a) Rs. 360 (b) Rs. 120

(c) Rs. 240 (d) Rs. 300

79. A predator is chasing its prey. The predatortakes 4 leaps for every 6 leaps of the prey andthe predator covers as much distance in 2 leapsas 3 leaps of the prey. Will the predator succeedin getting its food?

(a) Yes

(b) In the 6th leap

(c) Never(d) Cannot be determined

80. In a kilometre race, A can give B a start of 100m or 15 seconds. How long does A take tocomplete the race?

(a) 150 seconds (b) 165 seconds

(c) 135 seconds (d) 66.67 seconds