Aptitude and Reasoning Questions

Q:

Ice is to water as rock is to

A) Lava B) Oil
C) Sand D) Mud
 
Answer & Explanation Answer: A) Lava

Explanation:

When ice melts it changes its physical state to water. Similarly, when rock melts it changes into lava or magma.

 

Hence, ice is to water as rock is to lava.

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Filed Under: Analogy
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8 12508
Q:

Third proportion of 10 and 20 is

A) 30 B) 40
C) 25 D) 20
 
Answer & Explanation Answer: B) 40

Explanation:

The third proportional of two numbers p and q is defined to be that number r such that

p : q = q : r.

 

Here, required third proportional of 10 & 20, and let it be 'a'

=> 10 : 20 = 20 : a

10a = 20 x 20

=> a = 40

 

Hence, third proportional of 10 & 20 is 40.

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30 12505
Q:

Find x if 

log1218 = log24x + 1. log24x+1 + 4

A) 0 B) 1
C) 2 D) None of these
 
Answer & Explanation Answer: A) 0

Explanation:

By trial and error method, when we substitute 

x = 0

Both LHS and RHS are equal.

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Filed Under: Logarithms
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24 12505
Q:

A train of length 250 m crosses a bridge of length 150m in 20 seconds. What is the speed of train?

Answer

Sol : (length of train+ length of bridge) = speed of train x Time


        (250+150) = 20 x Speed


        Speed = 400/20= 20 m/s =72 km/h

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8 12493
Q:

What is the number of digits in 333? Given that log3 = 0.47712?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: B) 13

Explanation:

 Let   Let x=333 333

 

 Then, logx = 33 log3  

 

= 27 x 0.47712 = 12.88224 

 

Since the characteristic in the resultant value of log x is 12

 

The number of digits in x is (12 + 1) = 13 

 

Hence the required number of digits in 333is 13.

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Filed Under: Logarithms
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51 12487
Q:

Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is ?

A) 387 kms B) 242 kms
C) 145 kms D) 444 kms
 
Answer & Explanation Answer: D) 444 kms

Explanation:

1h ----- 5 kms
? ------ 60 kms

Time = 12 hrs

Relative Speed = 16 + 21 = 37 kmph

T = 12 hrs

D = S x T = 37 x 12 = 444 kms.

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Filed Under: Problems on Trains
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11 12479
Q:

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is  ?

A) 1 : 2 B) 3 : 1
C) 4 : 7 D) 3 : 2
 
Answer & Explanation Answer: D) 3 : 2

Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27 x meters, and

length of the second train = 17 y meters.

(27 x + 17 y) / (x + y) = 23

=> 27 x + 17 y = 23 x + 23 y

=> 4 x = 6 y

=> x/y = 3/2.

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11 12474
Q:

In a certain code language, "Tom Kun Sud" means "Dogs are barking" , "Kun Jo Mop" means "Dogs and horse" and "Mut Tom Ko" means "Donkeys are mad". Which word in that language means "barking"?

A) Sud B) kun
C) Jo D) Mop
 
Answer & Explanation Answer: A) Sud

Explanation:

In the first and second sentences common word is Dogs and common code is Kun. In the first and third sentences common word is are and common code is Tom. Therefore Sud = baking

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Filed Under: Coding and Decoding

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