Arithmetical Reasoning Questions

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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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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Q:

Read the information carefully and answer the following questions

 

Six girls are sitting in a circle facing to the centre of the circle. They are Priya, Neha, Rashmi, Sonali, Tina and Veera. Tina is not between Neha and Sonali but some other one. Priya is next to the left of Veera. Rashmi is 4th to the Right of Priya.

 

Who is sitting just right to veera?

A) Priya B) Tina
C) Rashmi D) Neha
 
Answer & Explanation Answer: B) Tina

Explanation:

 

Tina is sitting immediate right to Veera.

 

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Q:

RB75E%M3W48Q9#B2A$MS

 

In the above sequence which term is third to the right of the twelfth term from the left end?

A) # B) B
C) A D) 2
 
Answer & Explanation Answer: B) B

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 25201
Q:

In the given equation, LHS = RHS only when we interchange numbers _____ on the same side.

 

5 + 3 x 6 - 4 ÷ 2 = 4 x 3 - 10 ÷ 2 + 7

 

A) 5 and 2 B) 3 and 7
C) 6 and 4 D) 4 and 7
 
Answer & Explanation Answer: C) 6 and 4

Explanation:
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Q:

Select the missing number from the given matrix:

 

 

A) 43 B) 42
C) 33 D) 32
 
Answer & Explanation Answer: C) 33

Explanation:
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Q:

Study the following information carefully and answer the questions given below it.

 

There are 6 persons in a family - three males and three females. Out of these, there are two married couples and two persons who are unmarried. Each one of them likes different colour, viz. Blue, Red, Pink, Green, Yellow and white.

Seema, who likes Red colour, is Anitha's mother-in-law and Anitha is Raja's wife. Dinesh is Rohan's father and he does not like the blue colour or white colour. Bavya likes the yellow colour and is Rohan's sister, who likes Pink colour, Raja does not use White colour.

 


Which of the following is one of the married couples?

 

A) Rohan - Bavya   B) Dinesh - Bavya
C) Dinesh - Seema D) Rohan - Seema
 
Answer & Explanation Answer: C) Dinesh - Seema

Explanation:
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