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 Arithmetical Reasoning Questions

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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.

 

How many people speak more than one language?

A) 15 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: B) 45

Explanation:
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Q:

What is the value of a two–digit number?

A. The sum of the digits is 15.
B. The difference of the squares of the digits is 45.
C. The difference of their digits is 3.

A) B and C together are sufficient B) Any one pair of A and B, B and C or C and A is sufficient
C) C and A together are sufficient D) A and B together are sufficient
 
Answer & Explanation Answer: B) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

From the given data,

Let the two gits of a number be x & y

A) x + y = 15

 

B) x2 - y2 = 45

(x+y) (x - y) = 45

 

C) x - y = 3

From any 2 of the given 3 statements, we can find that 2 digit number as 

2x = 18 => x = 9

=> y = 6

Hence, 2 digit number is 96.

 

Any one pair of A and B, B and C or C and A is sufficient to find.

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Q:

Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?

A) 23 years B) 25 years
C) 33 years D) 35 years
 
Answer & Explanation Answer: A) 23 years

Explanation:

Ayush's present age = 10 years.

His mother's present age = (10 + 20) years = 30 years.

Ayush's father's present age = (30 + 5) years = 35 years.

Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.

Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.

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Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

 

14 + 16 ÷ 40 x 8 - 48 = 46

 

A) ÷ and x B) x and -
C) ÷ and - D) - and +
 
Answer & Explanation Answer: A) ÷ and x

Explanation:
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Q:

Insert the missing character depicted by '?'

 

A) 36 B) 48
C) 38 D) 30
 
Answer & Explanation Answer: C) 38

Explanation:
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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

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Q:

In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?

A) 20 B) 25
C) 30 D) Data inadequate
 
Answer & Explanation Answer: C) 30

Explanation:

Let the number of boys and girls participating in sports be 3x and 2x respectively.

 

Then, 3x = 15 or x = 5.

 

So, number of girls participating in sports = 2x = 10.

 

Number of students not participating in sports = 60 - (15 + 10) = 35.

 

Let number of boys not participating in sports be y.

 

Then, number of girls not participating in sports = (35 -y).

 

Therefore (35 - y) = y + 5 <=> 2y<=>  30<=> y = 15.

 

So, number of girls not participating in sports = (35 - 15) = 20.

 

Hence, total number of girls in the class = (10 + 20) = 30.

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134 27605
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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