CAT Questions

Q:

Length of train is 170 meters and speed of train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.

A) 355 mts B) 325 mts
C) 365 mts D) 312 mts
 
Answer & Explanation Answer: A) 355 mts

Explanation:

Given speed = 63 km/hr = 63×518=352 m/s

Let the length of the bridge = x mts

Given time taken to cover the distance of (170 + x)mts is 30 sec.

We know speed = distancetimem/s

352=170+x30

 -->  x = 355 mts.

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Filed Under: Problems on Trains
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19 16410
Q:

Find the least number by which 175760 be divided to make it a perfect cube.

A) 6 B) 10
C) 9 D) 30
 
Answer & Explanation Answer: B) 10

Explanation:

175760 =2³ x 2 x 5 x 13³
= 2³ x 2 x 5 x 13³

To make perfect cube, it must be divided by 2 x 5 = 10

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Filed Under: Arithmetical Reasoning
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20 16401
Q:

Derby Cup is associated with which game?

A) Hockey B) Lawn Tennis
C) Horse Racing D) Football
 
Answer & Explanation Answer: C) Horse Racing

Explanation:

Derby Cup is associated with horse racing in United Kingdom.

derby_cup_is_associated_with_which_game1560148955.jpg image

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Filed Under: Sports
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43 16314
Q:

If the volume of the cube is 729 cm3, then the surface area of the cube will be

A) 486 sq.cm B) 456 sq.cm
C) 446 sq.cm D) 476 sq.cm
 
Answer & Explanation Answer: A) 486 sq.cm

Explanation:

volume = a3 = 729;

=> a = 9

 

surface area= 6a2 =  (6 x 9 x 9) = 486 sq.cm

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Filed Under: Volume and Surface Area
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19 16303
Q:

Tether is most similar in meaning to

A) Cord B) Unleash
C) Remove D) None of the above
 
Answer & Explanation Answer: A) Cord

Explanation:

Tether is a rope, chain, or the like, by which an animal is fastened to a fixed object so as to limit its range of movement.

Cord is rope like to tie. Hence, cord is most similar in meaning to tether.

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Filed Under: English
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33 16284
Q:

Sanjeev ranks seventh from the top and twenty eighth from the bottom in a class. How many students are there in the class?

A) 33 B) 36
C) 35 D) 34
 
Answer & Explanation Answer: D) 34

Explanation:

Total number of students in the class = 28 + 6 i.e, from top(7-1)

28 + 6 = 34  

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64 16261
Q:

217 x 217 + 183 x 183 = ?

A) 84521 B) 87487
C) 80578 D) 78458
 
Answer & Explanation Answer: C) 80578

Explanation:

2172+1832

 

= 200+172+200-172

 

It is in the form of a+b2+a-b2=2a2+b2

 

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
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22 16257
Q:

When water freezes its density

A) decreases B) remains constant
C) increases D) become zero
 
Answer & Explanation Answer: A) decreases

Explanation:

When water freezes its density decreases.

Water at ordinary temperatures contracts and increases in density as it is cooled, like most substances. But at about 4°C it reaches a maximum density and then decreases in density as it approaches the freezing point.

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Filed Under: Chemistry
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50 16231