Arithmetical Reasoning Questions

Q:

7/9 of the people present in a hall are sitting in 9/13 of the chairs available and the rest are standing. If there are 28 empty 9 sitting chairs, how many chairs would have been still empty if everyone in the hall was sitting?

A) 15 B) 12
C) 18 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:
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Q:

If two line pa + b = 2 and 3a + b = 4 are parallel to each other, then what is the value of p ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

Given two lines are parallel

pa+b=2

b=-pa+2..........(1)

3a+b=4

b=-3a+4 ...........(2)

m1 = -p

m2= -3

The condition for the two lines to be parallel is m1=m2

p = 3

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Q:

Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

A) 991/16 % B) 900/19 %
C) 874/13 % D) 719/17 %
 
Answer & Explanation Answer: B) 900/19 %

Explanation:

First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

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Q:

9 tens 10 ones equals

A) 910 B) 90
C) 91 D) 100
 
Answer & Explanation Answer: D) 100

Explanation:

9 tens 10 ones equals

=> 9 x 10 + 10 x 1

=> 90 + 10

=> 100.

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Q:

Two angles whose sum is 180 degrees are

A) Complimentary angles B) Supplementary angles
C) Alternate angles D) None of the above
 
Answer & Explanation Answer: B) Supplementary angles

Explanation:

Two angles whose sum is 180 degrees are called supplementary angles.

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Q:

Khushi bought the bangles of equal number of Rs. 34 per piece, Rs. 42 per piece and Rs. 6 per piece. She spends total Rs. 1722 on all types of bangles. How many bangles did she buy of each type  ?

A) 27 B) 13
C) 17 D) 21
 
Answer & Explanation Answer: D) 21

Explanation:

Let number of bangles kushi purchase of each type = x

From the given data,

34x + 42x + 6x = 1722

x = 1722/82 = 21.

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Q:

Ramesh, Kamal, Mohit, Amit and Rohit are standing in a row in the order of their heights. Ramesh is shorter than Kamal but taller than Rohit. Mohit is the tallest. Amit is a little shorter than Kamal but little taller than Ramesh. Who is the shortest?

A) Amit B) Mohit
C) Rohit D) Kamal
 
Answer & Explanation Answer: C) Rohit

Explanation:
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Q:

What are the Multiples of 18?

A) 144 B) 72
C) 306 D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....

 

  • Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.

 

  • An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.
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