CAT Questions

Q:

A man can row upstream at 16 km/hr and downstream at 24 km/hr. Find the speed of the current.

A) 4 kmph B) 6 kmph
C) 5 kmph D) 3 kmph
 
Answer & Explanation Answer: A) 4 kmph

Explanation:

Speed of the current = 24-16/2

= 8/2

= 4 km/hr.

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Filed Under: Boats and Streams
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11 9667
Q:

A person of good understanding knowledge and Reasoning power

A) Snob B) Expert
C) Literate D) Intellectual
 
Answer & Explanation Answer: D) Intellectual

Explanation:

The one word substitute for A person of good understanding knowledge and Reasoning power is Intellectual.

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9 9666
Q:

The number of permutations of the letters of the word 'MESMERISE' is  ?

A) 9!/(2!)^{2}x3! B) 9! x 2! x 3!
C) 0 D) None
 
Answer & Explanation Answer: A) 9!/(2!)^{2}x3!

Explanation:

n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.
The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.
Number of arrangements = 9!(2!)2×3!

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
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3 9659
Q:

A person is asked to put in a basket one apple when ordered 'one', one guava when ordered 'two', one orange whe ordered 'three' and is asked to take out from the basket one apple and one guava both when ordered 'four'. The ordered sequence executed by the person is as follows :

1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4


1. How many apples will be there in the basket at the end of the above order sequence ?
      (a) 4     (b) 3     (c) 2    (d) 1


2. How many fruits will be there in the basket at the end of the above order sequence ?
      (a) 13   (b) 17   (c) 9    (d) 11

Answer

1. Answer (c)


Each time we order 1, one apple is added to the basket but each time when 4 is ordered, one apple is removed from it.


Required number of apples = number of 1's - number of 4's = 6 - 4 = 2


2. Answer (d)


Each time we order 1, 2 or 3, one fruit is added to the basket but when ever we order 4, two fruits are removed from it.


Required number = Number of 1's + Number of 2's + Number of 3's - 2 x (Number of 4's)


= 6 + 6 + 7 - (2x4)
= 19 - 8
= 11.

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13 9651
Q:

If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:

A) Rs. 408 B) Rs. 204
C) Rs. 412 D) Rs. 220
 
Answer & Explanation Answer: B) Rs. 204

Explanation:

Given ratio = 1/2:2/3:3/4 = 6:8:9

1st part = 782 x 6/23 = Rs. 204.

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Filed Under: Ratios and Proportions
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10 9628
Q:

Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ?

A) 3 minutes B) 2 minutes
C) 4 minutes D) 5 minutes
 
Answer & Explanation Answer: D) 5 minutes

Explanation:

Let the total capacity of tank be 90 liters.
Capacity of tank filled in 1 minute by K = 3 liters.
Capacity of tank filled in 1 minute by L = 15 liters.
Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.
Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.

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11 9627
Q:

P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ?

A) 9 3/5 days B) 7 days
C) 6 3/7 days D) 8 days
 
Answer & Explanation Answer: A) 9 3/5 days

Explanation:

Let the total work be 'W'

As per the given information,

P can complete the work 'W' in 24 days.

=> one day work of P = W/24

And also given that,

The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work

=> PW/3 = QW/2

=> P's

1 day =    W/24

   ?    =      W/3

=>  ?  = 24W/3W  = 8

=> QW/2 = 8 days

=> Q alone can complete the work W in 16 days

=> P + Q can complete the work in

1/24 + 1/16 = 5/48

=> 48/5 days = 9 3/5 days.

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Filed Under: Time and Work
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18 9626
Q:

If the first and third letters in the word NECESSARY were interchanged, also the fourth and the sixth letters, and the seventh and the ninth letters, which of the follwing would be the seventh letter from the left ?

A) E B) S
C) R D) Y
 
Answer & Explanation Answer: D) Y

Explanation:

we interchange the positions of the letters as shown below:

                                  K11483936954.jpg image

The new letter sequence is CENSSEYRA.
Clearly, the seventh letter from the left is Y.

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Filed Under: Alphabet Test
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12 9618