Arithmetical Reasoning Questions

Q:

Select the missing number from the given options.

 

A) 112 B) 98
C) 15 D) 5
 
Answer & Explanation Answer: C) 15

Explanation:
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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:

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

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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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Q:

Select the option that represents the number of triangles in the following figure.

 

A) 17 B) 12
C) 15 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:
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Q:

Select the most appropriate term for the given set of items.

 

 

A) Rain B) Snow
C) Seasons D) Heat
 
Answer & Explanation Answer: C) Seasons

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Q:

Answer the questions based on the following information.

 

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Puskar and Padma. Priyanka is between Mahesh and Lucky. Puskar and Mahesh are opposite to each other.

 

Who are the neighbours of Mahesh?

A) Puskar and Diana B) Diana and Priyanka
C) Priyanka and Padma D) Lucky and Priyanka
 
Answer & Explanation Answer: C) Priyanka and Padma

Explanation:
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Q:

Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?

A) 17 & 9 B) 9 & 11
C) 9 & 9 D) 11 & 9
 
Answer & Explanation Answer: D) 11 & 9

Explanation:

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.

Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

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