Arithmetical Reasoning Questions

Q:

A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?

A) 32 rolls B) 54 rolls
C) 108 rolls D) 120 rolls
 
Answer & Explanation Answer: D) 120 rolls

Explanation:

Number of cuts made to cut a roll into 10 pieces = 9.

Therefore, Required number of rolls = (45 x 24)/9 = 120.

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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:

Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

A) 20 years B) 22 years
C) 25 years D) 27 years
 
Answer & Explanation Answer: C) 25 years

Explanation:

Let Varun's age today = x years. 

Then, Varun's age after 1 year = (x + 1) years.

Therefore x + 1 = 2 (x - 12) =>  x + 1 = 2x - 24 =>  x = 25.

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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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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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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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Q:

Seven boys A,B,C,D,E,F and G are standing in a line.

(i) G is between A and E
(ii) F and A have one boy between them
(iii) E and C have two boys between them
(iv) D is immediate right of F
(v) C and B have three boys between them

Who is second from left?

A) C B) G
C) E D) A
 
Answer & Explanation Answer: C) E

Explanation:
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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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