Aptitude and Reasoning Questions

Q:

Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ?

A) 125 B) 155
C) 135 D) 165
 
Answer & Explanation Answer: D) 165

Explanation:

Ratio C1:C2 = 3:5 and C2:C3 = 7:11
So C1:C2:C3 = 21 : 35 : 55
Let the strength of three classes are 21x, 35x and 55x respectively, then
Given that 21x + 35x + 55x = 333
=> 111x = 333 or x=3
So strength of the class with highest number of students =55x = 55x3 = 165.

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Filed Under: Ratios and Proportions
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10 10554
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion (A) :  The Indian Constitution came into force with effect from 26th January. 1950. 

Reason (R)    :  26th January is celebrated as the Republic Day. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: B) Both A and R are true but R is NOT the correct explanation of A.

Explanation:

The Indian Constitution came into force with effect from January 26, 1950 and since then this day is celebrated as the Republic Day.  

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Filed Under: Assertion and Reason

5 10551
Q:

If x is 90% of Y, what percent of x is y?

Answer

x = 90% of y = \inline \frac{9}{10}y


 


\inline \therefore \frac{x}{y}=\frac{9}{10}\Rightarrow \frac{y}{x}=\frac{10}{9} 


=> y = 1.1% of x.

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Subject: Percentage

25 10538
Q:

A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 

A) 15:07 hrs B) 15:20 hrs
C) 15:05 hrs D) 15:00 hrs
 
Answer & Explanation Answer: A) 15:07 hrs

Explanation:

Next train comes at 17:00 hrs.
So, last train will be = 17:00hrs - 2:30hrs
= 14:30hrs
Announcement made after 37 min of the last train.
S0, 14:30hrs + 00:37 min
= 15:07 hrs.

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Filed Under: Problems on Trains
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10 10536
Q:

An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?

A) 1/12 B) 1/9
C) 3/4 D) 1/2
 
Answer & Explanation Answer: D) 1/2

Explanation:

Total numbers in a die=6

P(mutliple of 3) = 2/6 = 1/3

P(multiple of 4) = 1/6

P(multiple of 3 or 4) = 1/3 + 1/6 = 1/2

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Filed Under: Probability

4 10535
Q:

In a certain code, '289' means 'read from paper'; '276' means 'tea from field' and '85' means 'wall paper'. Which of the following is the code for 'paper' ?

A) 2 B) 8
C) 9 D) Can't be determined
 
Answer & Explanation Answer: B) 8

Explanation:

Justification:      

In the first and second statements, the common digit is '2' and the common word is 'from'.

So, '2' is the code for 'from'.

In the first and third statements, the common  code digit is '8' and the common word is 'paper'.

So, '8' is the code for 'paper'.

As shown above, '8' is the code for 'paper'.

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Filed Under: Coding and Decoding

48 10534
Q:

Suppose you can travel from a place A to a place B by 3 buses, from place B to place C by 4 buses, from place C to place D by 2 buses and from place D to place E by 3 buses. In how many ways can you travel ?from A to E?

A) 36 B) 64
C) 74 D) 72
 
Answer & Explanation Answer: D) 72

Explanation:

 

The bus fromA to B can be selected in 3 ways.

The bus from B to C can be selected in 4 ways.

The bus from C toD can be selected in 2 ways.

The bus fromD to E can be selected in 3 ways.

So, by the General Counting Principle, one can travel fromA to E in 3 x 4 x 2 x 3 ways = 72

 

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2 10517
Q:

5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

A) 102 & 6 B) 99 & 3
C) 104 & 8 D) 100 & 4
 
Answer & Explanation Answer: D) 100 & 4

Explanation:

Let the first number be x and the second number be y.

Given

5% of x = (25% of y) + y

=> 5x/100 = 5y/4

=> x = 25y ......(1)

and also given that, x - y = 96

=> x = 96 + y .....(2)

From (1)&(2)

25y = 96 + y

=> 24y = 96

=> y = 4

From (1)

x = 96 + 4 = 100

Hence, the numbers are 100 & 4.

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Filed Under: Percentage
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