149+ Arithmetic Reasoning [Verbal] - Mental Ability Questions and Answers

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 27419

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) $x^{2} - y^{2} = 45$

(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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4 27342

Q:

Insert the missing character marked as '?'.

A) 15	B) 18
C) 19	D) 20

Answer & Explanation Answer: B) 18

Explanation:

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1 26812

Q:

In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers are without children?

A) 5/18	B) 4/9
C) 11/18	D) 17/36

Answer & Explanation Answer: C) 11/18

Explanation:

Let the total number of workers be x. Then,

Number of women = x/3 and number of men = x - x/3 = 2x/3

Number of women having children = x/18

Number of men having children = x/3

Number of workers having children = (x/18) + (x/3) = 7x/18

Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.

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64 26162

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:

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:

The sum of three consecutive multiples of 3 is 72. What is the second largest number ?

A) 27	B) 24
C) 21	D) 42

Answer & Explanation Answer: B) 24

Explanation:

Let the numbers be 3x, 3x + 3 and 3x + 6.
Then,
3x + (3x + 3) + (3x + 6) = 72
9x = 63
x = 7
Largest number = 3x + 6 = 27.

=> Second largest number = 27 - 3 = 24

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93 24936

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

Arithmetical Reasoning Questions

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