Aptitude and Reasoning Questions

Q:

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is 

A) 30 B) 36
C) 40 D) 42
 
Answer & Explanation Answer: C) 40

Explanation:

Let distance = x km and usual rate = y kmph.
Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)
Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)
On dividing (i) by (ii), we get:

x = 40 km.

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Filed Under: Time and Distance
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12 9983
Q:

The following questions are based on the information given below:

 

An advertising agency finds that, of its 170 clients, 115 read Indian Express, 110 read The Hindu and 130 read Times of India. Also 85 read Indian Express and Times of India, 75 read Indian Express and The Hindu, 95 read The Hindu and Times of India and 70 read all the three.

 

How many read only Indian Express?

A) 15 B) 25
C) 5 D) 10
 
Answer & Explanation Answer: B) 25

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

0 9982
Q:

Identify the diagram that best represents the relationship among classes given below:

Editors, Professors and Men

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

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

2 9974
Q:

In the following Venn diagram the total number of students who play all the three games is

 

A) S B) S+V
C) S+Q D) S+Q+V
 
Answer & Explanation Answer: A) S

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: AIEEE , Bank Exams

0 9971
Q:

Rajan's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ?

A) 32 years B) 48 years
C) 62 years D) 50 years
 
Answer & Explanation Answer: D) 50 years

Explanation:

Let Rajan's present age be 'x' years.
=> Then his daughter's present age is = x/3 years.
His mother's present age = 13x/9 years
Now, according to the question,
x + x/3 + 13x/9 = 125
=> x = 125x9/25 = 45
Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9
=> 10 x 45/9 = 50 years.

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Filed Under: Problems on Ages
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10 9970
Q:

If x is chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?

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

Explanation:
 

S ={(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)}
Total element n(S)=12

xy will be even when even x or y or both will be even.
Events of x, y being even is E.
E ={(1,6),(2,5),(2,6),(2,7),(3,6),(4,5),(4,6),(4,7)}
n(E) = 8

P(E)=n(E)n(S)=812 = 4/3

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Filed Under: Probability

15 9961
Q:

Food : Stomach : : Fuel : ?

A) truck B) Plane
C) Engine D) Automobile
 
Answer & Explanation Answer: C) Engine

Explanation:

Food is processed by the stomach to provide energy for the functioning of the body.
Similarly, fuel is processed by the engine to provide energy for the functioning of automobile.

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Filed Under: Analogy
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19 9960
Q:

What is the median of the following list of numbers

 

55, 53, 56, 59, 61, 69, and 31 ?

A) 55 B) 56
C) 59 D) 61
 
Answer & Explanation Answer: B) 56

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

1 9955