Arithmetical Reasoning Questions

Q:

It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?

A) 45 min B) 25 min
C) 30 min D) 36 min
 
Answer & Explanation Answer: C) 30 min

Explanation:

After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 = 32 persons will get
after 15 =5x3 min ......9x2 + 9 =27 = 33 persons will get news.
.
.
after 5x6 mins ... 36 = 729 persons will get news.

 

Therefore, time taken to spread the rumour to 729 persons is 30 minutes.

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Q:

What is the product of all the numbers in the dial of a telephone ?

A) 1,58,480 B) 1,59,450
C) 1,59,480 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Since one of the numbers on the dial of a telephone is zero, so the product of all the numbers on it is 0.

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Q:

Consider the following information and answer questions based on it.

 

Six students Lily, Mary, July, Daisy, Rosy and Fairy are sitting in a circle facing each other such that -

1. Mary sits to the immediate right of July.

2. Lily does not sit near Fairy.

3. The student sitting on the immediate left of July, sits to the immediate right of Fairy.

4. Rosy does not sit to the immediate right of Mary.

 

If July leaves the circle, then who will be sitting to the immediate right of Lily?

 

A) Fairy B) Rosy
C) Daisy D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

Explanation:
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Q:

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ?

A) 5 B) 4
C) 7 D) 6
 
Answer & Explanation Answer: A) 5

Explanation:

Let the number be x. Then,

 

3x2 - 4x = x + 50

 

3x2- 5x - 50 = 0

 

(3x + 10)(x - 5) = 0

 

x = 5

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Q:

Arrange the following words as per order in the dictionary.

1. Fraudulent 2. Fraught 3. Fraternity 4. Franchise 5. Frantic

A) 5,4,1,2,3 B) 4,5,3,1,2
C) 4,3,5,1,2 D) 3,4,5,2,1
 
Answer & Explanation Answer: B) 4,5,3,1,2

Explanation:
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Q:

Read the following passage and answer the questions based on it.

 

1) Vinay, Vinay, Vikas, Vasu, Vaibhav, Varun and Vishal are sitting around a circle facing at the center.

2) Vasu is the third to the right of Vikas.

3) Varun is second to the left of Vinay and second to the right of Vishal.

4) Vaibhav is third to the right of Vinod and is not an immediate neighbor of Varun.

 

Who is second to the right of Vinod?

 

A) Vaibhav B) Vasu
C) Vishal D) Vikas
 
Answer & Explanation Answer: D) Vikas

Explanation:
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Q:

Find the least number by which 175760 be divided to make it a perfect cube.

A) 6 B) 10
C) 9 D) 30
 
Answer & Explanation Answer: B) 10

Explanation:

175760 =2³ x 2 x 5 x 13³
= 2³ x 2 x 5 x 13³

To make perfect cube, it must be divided by 2 x 5 = 10

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Q:

Consider the following information and answer the questions based on it.

 

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

 

The ratio of people who speak Bengali to those who speak Marathi is

A) 15/32 B) 1/2
C) 3/4 D) 3/5
 
Answer & Explanation Answer: D) 3/5

Explanation:
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