Aptitude and Reasoning Questions

Q:

If (7x+5) deg and (x+5) deg are complementary angles, then find the value of x.

 

 

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:
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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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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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Q:

Which one is wrong in the given series?

49 36 25 18 9 4

A) 9 B) 18
C) 25 D) 49
 
Answer & Explanation Answer: B) 18

Explanation:
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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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Q:

Which number will fit in '?' place in the following series?

 

12, 23, 45, 89, ?

 

A) 175 B) 176
C) 177 D) 178
 
Answer & Explanation Answer: C) 177

Explanation:
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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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Q:

If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer: D) 50

Explanation:

Let x and y be the length and breadth of the rectangle respectively.
Then, x - 4 = y + 3 or x - y = 7 ----(i)
Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)
(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(ii)
Solving (i) and (ii), we get x = 16 and y = 9.
Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.

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