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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133 25811
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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222 25473
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 23365
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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62 22079
Q:

Consider the following statements

P : Suman is brilliant
Q : Suman is rich
R : Suman is honest

The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

1)  P~RQ

2)  ~PRQ   

3)  QP~R  

4) ~QP~R

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

Explanation:

Suman is brilliant and dishonest is   P ~ R
Suman is brilliant and dishonest iff suman is rich is
  (P  ~ R)

 

Negative of statement is expressed as
~ (Q (P  ~ R)).

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11 19921
Q:

A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow. Seeing this cow ran towards the the train and managed to escape when the train was 2m away from bridge. If it had run in the opposite direction, it would hit by the train 2m before the end of the bridge. What is the lenght of the bridge in meters assuming the speed of the train is 4 times that of cow ?

A) 22 mts B) 28 mts
C) 32 mts D) 34 mts
 
Answer & Explanation Answer: C) 32 mts

Explanation:

let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge.
'x' be speed of cow => '4x' speed of train
Then the total length of the bridge 2b + 10.
(a-2)/4x = b/x
=> a-2 = 4b........(1)
Now if it had run in opposite direction
(a+2b+10-2)/4x = (b+10-2)/x
=> a - 2b = 24......(2)
Solving (1) and (2)
b = 11 ,
Therefore length of the bridge is 2 x 11 + 10 = 32mts.

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62 18088
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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109 17495
Q:

Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'  ?

A) 4 B) 10
C) 8 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.

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28 17488