Arithmetical Reasoning Questions

Q:

If you write down all the numbers from 1 to 100, then how many times do you write 3 ?

A) 11 B) 18
C) 20 D) 21
 
Answer & Explanation Answer: C) 20

Explanation:

Clearly, From 1 to 100, there are ten numbers with 3 as the unit's digit - 3, 13, 23, 33, 43, 53, 63, 73, 83, 93 and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.

 

So, required number = 10 + 10 = 20.

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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 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:

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:

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:

Consider the following information and answer the questions based on it.

 

Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi.

 

How many people speak more than one language?

A) 15 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: B) 45

Explanation:
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