Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

A) 5/113 B) 7/120
C) 13/145 D) 17/160
 
Answer & Explanation Answer: D) 17/160

Explanation:
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Q:

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

A) 12 cm B) 6 cm
C) 1 cm D) 2 cm
 
Answer & Explanation Answer: D) 2 cm

Explanation:
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Q:

If x = 93 , y = 93 , z = 94 then the value of x2 - y2 + 10xz + 10yz is

A) 104784 B) 147840
C) 174840 D) 184740
 
Answer & Explanation Answer: C) 174840

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Filed Under: Simplification
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Q:

A shopkeeper by selling 21 Nike shoes, earns a profit equal to the selling price of 5 Nike shoes. His profit percentage is

A) 31.25 percent B) 23.8 percent
C) 47.6 percent D) 16.35 percent
 
Answer & Explanation Answer: A) 31.25 percent

Explanation:
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Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: 3 years ago the ratio of age of A and B is 3: 4 after 2 years the sum of their ages is 45. Then find the present age of A? 

Quantity II: 5 years ago, the ratio of age of p and Q id 3: 4 P’s age after 6 years is equal to the present age of Q. the find the present age of P?

 

 

A) Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I < Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: C) Quantity I < Quantity II

Explanation:

Quantity I= Let 3 year ago the age of A and B be 3x and 4x respectively

Then ATQ 3x+5+4x+5=45 X=5

Hence present age of A=3x+3=18year

Quantity II== Let 5 year ago the age of p and q be 3x and 4x respectively 

Then ATQ 

3x+11=4x+5 

X=6 Hence present age of P=3x+5=23

Hence Quantity I < Quantity II

 

 

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Filed Under: Problems on Ages

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Q:

The ten's digit of a 2­digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 37 B) 18
C) 81 D) 73
 
Answer & Explanation Answer: D) 73

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Filed Under: Problems on Numbers
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Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one B) Only two
C) Only three D) Infinitely many
 
Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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Q:

If two marbles are picked at random, what is the probability that either both are red or both are green?

A) 5/7 B) 5/14
C) 1/7 D) 1/14
 
Answer & Explanation Answer: C) 1/7

Explanation:

Required probability = (10+3)91=1391=17

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