Aptitude and Reasoning Questions

Q:

A train travelling at a speed of 75 mph enters a tunnel 312miles long. The train is 14mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A) 2.5 min B) 3 min
C) 3.2 min D) 3.5 min
 
Answer & Explanation Answer: B) 3 min

Explanation:

Total distance covered =72+14miles =154miles  

Time taken = 154*75hrs = 120 hrs =120*60min = 3 min

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Filed Under: Problems on Trains

36 28642
Q:

Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is :

A) 30 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: A) 30

Explanation:

Let the numbers be 4x, 5x and 6x, Then, (4x + 5x + 6x ) / 3 = 25  

=> 5x = 25

=> x = 5. 

Largest number  6x = 30.

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Filed Under: Problems on Numbers

39 28640
Q:

 If the circumference of a circle is 88 cm, then what must be its area (in cm2)?

 

A) 1232   B) 616  
C) 704   D) 1408
 
Answer & Explanation Answer: B) 616  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

3 28632
Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2+b2+c23 is :

A) M B) 3 M^2
C) 2 (M/3) D) M^2
 
Answer & Explanation Answer: B) 3 M^2

Explanation:

We have : ( a + b + c) / 3 = M   or (a + b + c) = 3M.

Now. a+b+c2=3M2=9M2 .

 

 

 

<=>a2+b2+c2+2ab+bc+ca=9M2

 

 

 

a2+b2+c2=9M2   ,(ab+bc+ca=0)     

 

 

 

Required mean =a2+b2+c23=9M23=3M2 .

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

35 28613
Q:

Direction: What should come in the place of question mark (?) in the following number series?

2, 3, 6, 15, 45, ?

A) 90 B) 135
C) 157.5 D) 200
 
Answer & Explanation Answer: C) 157.5

Explanation:

The pattern followed is *1.5 , * 2 , *2.5 , *3 , *3.5

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

0 28598
Q:

If - means /, / means +, x means - and + means x, then determine the value of

 

35 - 7 x 14 / 28

A) 19 B) 24
C) 15 D) 20
 
Answer & Explanation Answer: A) 19

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

1 28554
Q:

Which number will complete the series?

63, 72, 81, 90, ____, 108

A) 80 B) 99
C) 100 D) 117
 
Answer & Explanation Answer: B) 99

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

2 28532
Q:

There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

A) 1/2 B) 3/4
C) 4/7 D) 3/8
 
Answer & Explanation Answer: D) 3/8

Explanation:

Total cases of checking in the hotels = 4 x 4 x 4 = 64 ways.

Cases when 3 men are checking in different hotels = 4×3×2 = 24 ways.

Required probability =24/64  = 3/8

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Filed Under: Probability

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