Arithmetical Reasoning Questions

Q:

How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?

A) 8 B) 9
C) 10 D) 11
 
Answer & Explanation Answer: B) 9

Explanation:

Perimeter = 36


⇒ 2 ( l + w ) = 36


⇒ l + w = 18


Since length and width are positive integers in centimeters.

Therefore, possible dimensions are :


( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.


Hence, there are 9 rectangles.

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Q:

Read the following passage and answer the questions based on it.

 

1) Vinay, Vinay, Vikas, Vasu, Vaibhav, Varun and Vishal are sitting around a circle facing at the center.

2) Vasu is the third to the right of Vikas.

3) Varun is second to the left of Vinay and second to the right of Vishal.

4) Vaibhav is third to the right of Vinod and is not an immediate neighbor of Varun.

 

Who is third to the left of Varun?

A) Vaibhav B) Vasu
C) Vishal D) Vikas
 
Answer & Explanation Answer: A) Vaibhav

Explanation:
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Q:

The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is   ?

A) 6 B) 9
C) 7 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

Arithmatic mean = sum/members 

=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)

=> 140/28 = 5

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Q:

A group of 1200 persons consisting of boys and girls is travelling in a Bus. For every 15 boys there is one girl. The number of girls in the group is ?

A) 60 B) 65
C) 70 D) 75
 
Answer & Explanation Answer: D) 75

Explanation:

If there are x girls, then
x + 15x = 1200
16x = 1200
x= 1200/16 = 75

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Q:

In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ?

653   749   872   933   541

A) 933 B) 872
C) 749 D) 653
 
Answer & Explanation Answer: C) 749

Explanation:

From the given data,

EXP.

Largest number = 974

Therefore, the required number is 749.

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Q:

 What is the difference between the local values of 3 in the number 43403 ?

A) 0 B) 3030
C) 3003 D) 2997
 
Answer & Explanation Answer: D) 2997

Explanation:

3000 – 3 = 2997

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Q:

When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?

A) 188 million B) 166 2/3 million
C) 192 3/4 million D) None
 
Answer & Explanation Answer: B) 166 2/3 million

Explanation:

5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.

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Q:

Multiplicative inverse of 0

A) 0 B) 1
C) infinity D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).

 

Hence, 0 doesn't have any multiplicative inverse.

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