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 Arithmetical Reasoning Questions

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Q:

7 is to 34 as 5 is to

A) 33 B) 24
C) 54 D) 41
 
Answer & Explanation Answer: D) 41

Explanation:

We can get this by any of two explanations.

 

Answer 1: 41

7 = 3 + 4  = 34

Similarly, 5 = 4 + 1  = 41

 

Answer 2 :  41

7 - 3 = 4  => 34

Similarly, 5 - 4 = 1  => 41

 

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Q:

In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

A) 18 B) 36
C) 45 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Let R, G and B represent the number of balls in red, green and blue boxes respectively.

 

Then, 

 

R + G + B = 108 ...(i),

 

G + R = 2B ...(ii)

 

B = 2R ...(iii)

 

From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.

 

Putting G = 3R and B = 2R in (i), we get:

 

R + 3R + 2R = 108 =>  6R = 108 => R = 18.

 

Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

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177 33143
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∧~R↔Q

2)  ~P∧R↔Q   

3)  Q↔P∧~R  

4) ~Q↔P∧~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
Q ↔  (P ∧ ~ R)

 

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

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11 30186
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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223 28353
Q:

Consider the following information and answer questions based on it.

 

Six cars S, T, V, W, X and Y are parked in a parking lot, in a random order, from left to right, such that -

 

A. T is parked on the extreme right.

B. V is parked to the immediate right of Y and is one car away from W.

C. X is to the immediate left of T and is three cars away from S.

 

W is to the immediate right of

A) S B) Y
C) V  D) Cannot be determined
 
Answer & Explanation Answer: A) S

Explanation:
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1 27956
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 26965
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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63 25352
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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