Arithmetical Reasoning Questions

Q:

The price of commodity X increases by 60 rupees every year, while the price of commodity Y increases by 20 rupees every year. If in 2002, the price of commodity X was Rs. 320 and that of Y was Rs. 740, in which year commodity X will cost 60 rupees more than the commodity Y ?

A) 2011 B) 2014
C) 2012 D) 2017
 
Answer & Explanation Answer: B) 2014

Explanation:

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60
=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

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Q:

Five students P, Q, R, S and T are sitting on a bench. Q is to the left of P and right of T. S is at the extreme right end and R is to the left of S. Who is sitting third from the left?

A) P B) Q
C) R D) T
 
Answer & Explanation Answer: A) P

Explanation:
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Q:

Mohan, Ritika, Janvi, Priya and Riya are friends. Janvi runs faster than Ritika but slower than Priya. Mohan is the slowest runner and Riya runs faster than Priya. Who runs the fastest among the five?

A) Priya B) Riya
C) Ritika D) Mohan
 
Answer & Explanation Answer: B) Riya

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:

There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ?

A) 3 & 9 B) 6 & 19
C) 7 & 24 D) 5 & 18
 
Answer & Explanation Answer: C) 7 & 24

Explanation:

7 boxes & 24 Balls.
Let, n = No. of boxes ; m = No. of fruits
3n+3 = m---------->(1)
4(n-1)= m---------->(2)
=>4n-4 = 3n+3;
=>4n-3n = 4+3
n = 7
Put n=7 in eqn(1)
=> 3(7)+3 = m
21+3 = m
m = 24;

Number of boxes = 7 and fruits = 24

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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:

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:

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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