Arithmetical Reasoning Questions

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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Q:

Insert the missing character marked as '?'.

 

 

A) 15 B) 18
C) 19 D) 20
 
Answer & Explanation Answer: B) 18

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Q:

RB75E%M3W48Q9#B2A$MS

 

In the above sequence which term is third to the right of the twelfth term from the left end?

A) # B) B
C) A D) 2
 
Answer & Explanation Answer: B) B

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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:

What is the value of a two–digit number?

A. The sum of the digits is 15.
B. The difference of the squares of the digits is 45.
C. The difference of their digits is 3.

A) B and C together are sufficient B) Any one pair of A and B, B and C or C and A is sufficient
C) C and A together are sufficient D) A and B together are sufficient
 
Answer & Explanation Answer: B) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

From the given data,

Let the two gits of a number be x & y

A) x + y = 15

 

B) x2 - y2 = 45

(x+y) (x - y) = 45

 

C) x - y = 3

From any 2 of the given 3 statements, we can find that 2 digit number as 

2x = 18 => x = 9

=> y = 6

Hence, 2 digit number is 96.

 

Any one pair of A and B, B and C or C and A is sufficient to find.

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Q:

In the given equation, LHS = RHS only when we interchange numbers _____ on the same side.

 

5 + 3 x 6 - 4 ÷ 2 = 4 x 3 - 10 ÷ 2 + 7

 

A) 5 and 2 B) 3 and 7
C) 6 and 4 D) 4 and 7
 
Answer & Explanation Answer: C) 6 and 4

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Q:

Select the missing number from the given matrix:

 

 

A) 43 B) 42
C) 33 D) 32
 
Answer & Explanation Answer: C) 33

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Q:

Consider the following information and answer questions based on it.

 

Six students Lily, Mary, July, Daisy, Rosy and Fairy are sitting in a circle facing each other such that -

1. Mary sits to the immediate right of July.

2. Lily does not sit near Fairy.

3. The student sitting on the immediate left of July, sits to the immediate right of Fairy.

4. Rosy does not sit to the immediate right of Mary.

 

If July leaves the circle, then who will be sitting to the immediate right of Lily?

 

A) Fairy B) Rosy
C) Daisy D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

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