CAT Questions

Q:

A university library budget committee must reduce exactly five of eight areas of expenditure—I, J, K, L, M, N, O and P—in accordance with the following conditions:

If both I and O are reduced, P is also reduced.
If L is reduced, neither N nor O is reduced.
If M is reduced, J is not reduced.
Of the three areas J, K, and N exactly two are reduced.

 

Question :

If both K and N are reduced, which one of the following is a pair of areas neither of which could be reduced?

A) I, L B) J, L
C) J, M D) I, J
 
Answer & Explanation Answer: B) J, L

Explanation:

This question concerns a committee’s decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced.

The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced:

Reduced         ::      K, N
Not reduced   ::      J

The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we’ve determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced:

Reduced        ::      K, N
Not reduced  ::      J, L

Answer choice (B) is therefore the correct answer.

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14 10081
Q:

John sells his laptop to Mark at a loss of 20% who subsequently sells it to Kevin at a profit of 25%. Kevin after finding some defect in the laptop, returns it to Mark but could recover only Rs.4.50 for every Rs. 5 he had paid. Find the amount of Kevin’s loss if John had paid Rs. 1,75,000 for the laptop ?

A) Rs.16,500 B) Rs.17,500
C) Rs.14,200 D) Rs.15,520
 
Answer & Explanation Answer: B) Rs.17,500

Explanation:

Let’s assume John bought the laptop for Rs. 100
He then sells it to Mark at a loss of 20% => Rs. 80,
Who consequently sells it to Kevin at a profit of 25% =>  Rs. 100
Then, Kevin sells it back to Mark for Rs. 90 (Rs.4.50 for every Rs. 5 that he had paid initially), so he suffers a loss of Rs. 10
Therefore, for Rs. 100 there is a loss of Rs. 10,
Then for Rs. 1,75,000 there will be a loss of Rs. 17,500.

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Filed Under: Profit and Loss
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15 10074
Q:

The largest man made canal in the world is

A) Suez Canal B) The Grand
C) Panama Canal D) Rhine Canal
 
Answer & Explanation Answer: A) Suez Canal

Explanation:

the_largest_man_made_canal_in_the_world_is1557222658.jpg image

 

The largest man made canal in the world is The Suez Canal. It is a sea-level waterway in Egypt, connecting the Mediterranean Sea to the Red Sea through the Isthmus of Suez.

 

  • It was constructed by the Suez Canal Company between 1859 and 1869.
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Filed Under: General Awareness
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16 10071
Q:

If the digits in the number 25673948 are arranged in ascending order from left to right, what will be the sum of the digits which are fourth from the right and third from the left in the new arrangement?

A) 10 B) 9
C) 8 D) 6
 
Answer & Explanation Answer: A) 10

Explanation:

Given Number :      2 5 6 7 3 9 4 8

 

Ascending order :  2 3 4 5 6 7 8 9

 

Specified letters are 6 and 4 respectively.

 

Hence, required sum = (4 + 6 = 10)

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24 10059
Q:

The modulus of elasticity for mild steel is approximately equal to

A) 210 kN/mm2 B) 100 kN/mm2
C) 80 kN/mm2 D) 10 kN/mm2
 
Answer & Explanation Answer: A) 210 kN/mm2

Explanation:

It is useful to have a property of a material that is independent of the size of the sample and can be use to compare its elastic properties with another - this is called the Modulus of Elasticity for the material.

The modulus of elasticity is defined as:

 

Modulus of elasticity = Stress / Strain

 

There are three types of moduli. They are :

(a) the Young Modulus - tensile and compression longitudinal stress

(b) the shear modulus - a shearing stress

(c) the bulk modulus - volume changes of the specimen.

 

mod-compressor1528180544.jpg image

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Filed Under: Physics
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2 10058
Q:

The minimum number of half years in which a sum of money kept at 60% compound interest will be quadrupled is ?

A) 2 B) 4
C) 3 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Let us assume Amount be 100 Rs and we calculate in CI

 First year 60% of 100 = 60 amount (100+60) is 160

 Second year 60% of 160 = 96 amount (160+96) is 256

 Third year 60% of 256 =153.6 amount (256+153.6) is 409.6

 Here the Amount of 100 Rs is quadrapled in 3 years.

 One year contains 2 half years

 Three year has 6 half years.

 Therefore,  It takes 6 half years.

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Filed Under: Compound Interest
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14 10056
Q:

Detect an error part labelled (1), (2), (3) & (4) in the following question.

whole northern states in(1)/india are reeling under the(2)/devastating(3)/of the drought(4)

 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:

Error is in the first part of the sentence. 'Whole' is used with singular nouns.
The correct sentence is - 'All Northern states in India are reeling under the devastating of the drought.

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19 10051
Q:

The reflex angle between the hands of a clock at 11:35 is ?

A) 137.5 degrees B) 222.5 degrees
C) 192.5 degrees D) 330 degrees
 
Answer & Explanation Answer: B) 222.5 degrees

Explanation:

Apply the formula for finding the angle:
Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours)
Hence, 30x11 - 11/2x35 = 330 - 192.5 = 137.5 degrees
The reflex angle = 360 - 192.5 degree = 222.5 degrees.

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Filed Under: Clock puzzles
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29 10046