Proctored Mock CAT-1 2013 -...

5/27/13 Online Test

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Proctored Mock CAT-1 2013

NA

Q.1 How many natural numbers between 1 and 500 are not divisible by 7 and leave a remainder of 3 when dividedby 4?

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a 125

b 107

c 106

d 124

Incorrect !!

View Answer key/Solution

NA

Q.2 Two horses are tethered at the midpoints of two adjacent sides of a square field. Each of them is tied with arope that does not allow it to go beyond the centre of the field for grazing. If the length of a side of the field is8 m, what is the ratio of the areas of grazed to non-grazed regions?

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a

b

c

d

Correct


NA

Q.3 There are 10 points in a plane, of which 4 are collinear. How many quadrilaterals can be formed using any 4 ofthese points as vertices?

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a 185

b 190

c 195

d 200

Correct


QA&DI VA&LR 15 35 Score : 90.0 Percentile & Cut-off**

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5/27/13 Online Test


NA

Q.4 Find the number of odd factors of 36036.

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a 72

b 46

c 24

d 36

Correct


NA

Q.5

Let f(x) = - x2 + 35, g(x) = |x + 5| + |x - 5| and h(x) = min {f(x), g(x)}. What is the number of integer values ofx for which h(x) is equal to 10?

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a 9

b 10

c 11

d 12

Correct


Directions for questions 6 to 8: Answer the questions on the basis of the information given below.

The graph given below shows the information about the employees of an organisation 'Gramshakti'

run by the people of a village 'Chaitanyapuri' during the period 2007 to 2012. The organisation started

its operations on January 1, 2007. Every year after 2007, some new people joined the organisation on

the first day of the year. It is also known that, from 2007 to 2012, no employee left the organisation.

All the values given in the graph were recorded on the second day of each year.

5/27/13 Online Test


Q.6 The number of men who joined the organisation in 2010 was what percentage of the total number of people whojoined the organisation in the same year?

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a 70.63

b 68.25

c 29.25

d 74.75

Correct








Q.7 Which of the following years witnessed the highest percentage increase in new recruitments over the previousyear?

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a 2009

b 2010

c 2011

d 2012

Correct



5/27/13 Online Test








Q.8 The number of literate men who joined the organisation in 2012 as a percentage of the total number of men whojoined the organisation in the same year could not be more than

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a 11.43

b 15.65

c 9.63

d 17.34

Correct


NA

Q.9 Let f(x) be a positive valued function such that f(x)f(x + 1) - f(x - 1) f(x - 2) = 0 for all x ≥ 0. If f(100) = 8 andf(96) = 2, then f(98) equals to

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a 1

b 4 null

c 6

d Cannot be determined

Correct


NA

5/27/13 Online Test


NA

Q.10

How many unique real value(s) of x satisfy the equation log2log8(x3 - 12x2 + 48x) = log3log9729?

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a 0

b 1

c 2

d 3

Correct


NA

Q.11 Circle C1 is circumscribed by a square, which is circumscribed by circle C2. C2 is circumscribed by a square,

which is circumscribed by circle C3 and so on. If An is the area between Cn and Cn+1 where n = 1, 2, 3.., find the

ratio of An and An-1.

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a 2 : 1 null

b 1 : 2

c √2 : 1

d None of these

Correct


NA

Q.12 In a rectangle ABCD, P and Q are two points lying on the sides AB and DC respectively such that PQ bisects ACperpendicularly at R. If AB = 4 units and BC = 2 units, what is the area (in square units) of quadrilateral PBCR?

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a 3/2

b 11/4

c 11/2

d 27/4

Correct


NA

Q.13

Prateek deposited P in UCUCU Bank in the beginning of 2010 at 10% per annum rate of compound interest. He

withdrew 500 at the end of every year. After having withdrawn 500 at the end of year 2012, he was left with

no money in his account. What is the approximate value of P?

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a 1192

b 1341

5/27/13 Online Test


b 1341

c 1292

d 1243

Unattempted


NA

Q.14 There are four beakers B1, B2, B3 and B4 with 2%, 4%, 6% and 8% milk solutions respectively. From each ofthe four beakers, some amount of mixture is taken out and poured into an empty beaker B5. B5 now has asolution of 5% milk. Read the two statements given below and mark the correct answer.

I. Amounts of mixtures taken from B1 and B4 are not equal.II. Amounts of mixtures taken from B2 and B3 are equal.

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a If Statement I is false, Statement II has to be false.

b If Statement I is true, Statement II has to be true.

c If Statement I is false, Statement II has to be true.

d None of these

Correct


NA

Q.15 ABCD is a kite the diagonals of which, AC and BD, intersect at E. If ∠BAD = 2∠ABC and BE : ED = 1 : 2, find theratio of areas of ΔAED and ΔBEC.

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a 2 : 1

b 1 : 2

c 4 : 1 null

d 1 : 4

Incorrect !!


NA

Q.16 Saral and Abhishek start simultaneously from a point on a circular track in the same direction at uniform speedsof 'x' km/hr and 'y' km/hr respectively. They meet for the first time when Saral is in his third round. Which ofthe following cannot be the value of x : y?

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a 11 : 7

b 9 : 5

c 11 : 5

d 13 : 7

Unattempted


5/27/13 Online Test


NA

Q.17

Three articles priced at x, y and z were sold at profits of 10%, 15% and 20% respectively. If the overall

profit was 14%, which of the following is necessarily false?

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a z > x

b z > y

c x = y

d x > y

Incorrect !!



The graph below represents the Sales and Profit (in $ millions) of Morris-Becker Ltd. for the period

2007- 2012.

Profit = Sales – Expenditure

Q.18 In which of the following years did the company register the second highest percentage increase in Expenditureover the previous year?

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a 2009

b 2010

c 2012

d None of these

Correct



5/27/13 Online Test




2007- 2012.


Q.19 In which year did the company record the highest Profitability?

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a 2012

b 2011

c 2009

d 2007

Correct




2007- 2012.


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Q.20 Which of the following statements holds true?

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a Profitability of the company did not decrease even once during the given period.

b Profitability of the company witnessed a decrease only once during the given period.

c Profitability of the company was second highest in the year 2009.

d Profitability of the company in the year 2007 was twice of that in the year 2010.

Correct


Q.21 The question is followed by two statements, A and B. Mark the answer as(a) if the question can be answered by using one of the statements alone, but cannot be answered by using theother statement alone.(b) if the question can be answered by using either statement alone.(c) if the question can be answered by using the two statements together, but cannot be answered by usingeither statement alone.(d) if the question cannot be answered even by using the two statements together.

A and B play a game in which the winner of a round gets 2 points and the loser gets 1 point. The player whoscores 50 points first wins the game. If it is known that no round ends in a draw, what is the sum of pointsscored by A and B at the end of the game?

A. The number of rounds played is the average of the minimum and maximum number of rounds that could beplayed in such a game.B. Sum of the points scored by A and B is a multiple of a prime number greater than 20 and less than 42.

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a

b

c

d

Unattempted


NA

Q.22 The sum of fifth and eighth terms of an arithmetic progression is 27, whereas, the sum of its eighth and eleventhterms is 37. What is the sum of fourth and twelfth terms of the progression?

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a 32

b

c

d None of these

Correct

5/27/13 Online Test


Correct


NA

Q.23 How many points with integer co-ordinates lie inside the triangle whose vertices are (0, 2), (–5, –3) and (5, –3)?

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a 14

b 15

c 16

d 17

Incorrect !!


NA

Q.24 A real number 'N' is decreased by 1/a times itself following which 1/a is subtracted to obtain N1, where ‘a’ is a

natural number greater than 1. Same operations when performed on N1 result in N2 and so on. If Nn = 0, then

find N.

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a

b

c

d

Correct


Q.25

If a, b and c are non-zero real numbers such that which of the following is necessarily

true?

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a a + b + c = 0

b a2 + b2 + c2 = ab + bc + ca

c a = b = c = 1

d Either (a) or (b)

Incorrect !!


NA

5/27/13 Online Test


Q.26 N is a three-digit natural number divisible by 11 such that the sum of its units and hundreds digits is greaterthan its tens digit. What is the number of possible values of N?

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a 76

b 36

c 45

d 44

Incorrect !!


NA

Q.27 Three dice are rolled simultaneously. If the sum of the numbers that appear is not less than 6, what is theprobability that the sum is equal to 16?

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a 3/103

b 27/206

c 1/9

d 12/103

Incorrect !!



Three friends A, B and C had 100 books each, as on 31st December 2012. They exchanged some of the

books among themselves on the first day of each of the next four months. The table given below

depicts the number of books transferred from one person to another during the given time period.

It is also known that:

(i) No book was transferred more than once on a particular day.

(ii) Any transfer of a book necessarily involved the original owner of the book.

Q.28

On 2nd April 2013, the number of books originally owned by C among those in possession of B cannot be lessthan

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a 0

b 3

c 4

5/27/13 Online Test


d 2

Incorrect !!









Q.29

On 2nd March 2013, the number of books originally owned by C among those in possession of C cannot be morethan

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a 91

b 94

c 98

d None of these

Unattempted









5/27/13 Online Test



Q.30 Which among the following can be the minimum number of books originally owned by A among those in

possession of A on 2nd April 2013?

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a 64

b 63

c 62

d 61

Correct


Proctored Mock CAT-1 2013 -...

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