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cat Latest Exam Pattern - cat Sample Question with Solutions Page 98

(#M40003215) CAT QUESTION Keep an EYE

In an AP 2,5,8,...... up to 60 terms,and 3,5,7,9,...... up to 50 terms, the terms identical in both are

a.15

b.17

c.25

d.30

Solution

common terms are 5,11,17,.........,101
number of terms = 17

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Asked In CAT CHANDAN KR SINGH (14 years ago)

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(#M40003037) CAT QUESTION Keep an EYE

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A.
9
B.
10
C.
11
D.
12

Asked In CAT jai Narayan Mishra (14 years ago)

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(#M40003036) CAT QUESTION Keep an EYE

If 20% of a = b, then b% of 20 is the same as:
A. 4% of a
B. 5% of a
C. 20% of a
D. None of these

Asked In CAT jai Narayan Mishra (14 years ago)

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(#M40003035) CAT QUESTION Keep an EYE

If A = x% of y and B = y% of x, then which of the following is true?

A.
A is smaller than B.
B.
A is greater than B
C.
Relationship between A and B cannot be determined.
D.
If x is smaller than y, then A is greater than B.
E.
None of these

Asked In CAT jai Narayan Mishra (14 years ago)

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(#M40003034) CAT QUESTION Keep an EYE

What is Arun's present age?

I.

Five years ago, Arun's age was double that of his son's age at that time.

II.

Present ages of Arun and his son are in the ratio of 11 : 6 respectively.

III.

Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7.

A.
Only I and II
B.
Only II and III
C.
Only I and III
D.
Any two of the three
E.
None of these

Asked In CAT jai Narayan Mishra (14 years ago)

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(#M40003033) CAT QUESTION Keep an EYE

If x = 3 + 1 and y = 3 - 1 , then the value of (x2 + y2) is:
3 - 1 3 + 1

A.
10
B.
13
C.
14
D.
15

Solution

The question is not posted correctly. please clear the question for getting any answer

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Asked In CAT jai Narayan Mishra (14 years ago)

Solved

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(#M40003013) CAT QUESTION Keep an EYE

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 210 B. 1050
C. 25200 D. 21400
E. None of these

Asked In CAT jai Narayan Mishra (14 years ago)

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(#M40002963) CAT QUESTION Keep an EYE

What is the total number of ways of selecting twenty balls from an infinite number of blue, green and
yellow balls?
(a) 320 (b) 203 (c) 231 (d) 1771

Solution

the answer are wrong
no. of methods to find first ball = 3
similarly no. of methods for second ball = 3
so answer for selecting 20 balls = 3^20

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Asked In CAT Nitish Kumar (14 years ago)

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(#M40002956) CAT QUESTION Keep an EYE

After the elections, a firm conducted exit polls. Exactly 2% of the male voters said they had voted for candidate A, while exactly 59% of the female voters said they had voted for candidate A. If in total, exactly 17% of the people said they had voted for the Candidate. What is the minimum number of people who were surveyed?
OPTIONS

1) 17
2) 19
3) 323
4) 1700
5) 1900

Solution

Let total no. of people = n
males = x, females = n-x
according to the given condition
2x/100 + 59(n-x)/100 = 17n/100
or 2x + 59(n-x) = 17n
or 2x + 59n -59x = 17n
or 42n = 57x
or n = 57x/42
for finding minimum number of people, take x = 14 (here 14 is the least integer for which n is integer)
n = 57*14/42 = 19

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Asked In CAT jai Narayan Mishra (14 years ago)

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(#M40002776) CAT QUESTION Keep an EYE

A pole seen from a certain distance at an angle of 15 degrees and 100 meters ahead by 30 degrees. What is the height of pole ?

Asked In CAT kavita pandya (14 years ago)

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