Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

A) 15 B) 32
C) 35 D) 53.5
 
Answer & Explanation Answer: B) 32

Explanation:
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Filed Under: Average
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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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Filed Under: Volume and Surface Area
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Q:

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

A) 21 B) 84
C) 42 D) 63
 
Answer & Explanation Answer: B) 84

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Filed Under: Volume and Surface Area
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Q:

If the ratio of cost price and selling price be 10:11, then the profit percentage is

A) 1% B) 10%
C) 5% D) 8%
 
Answer & Explanation Answer: B) 10%

Explanation:
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Filed Under: Profit and Loss
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Q:

How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?

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

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Filed Under: Problems on Numbers
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Q:

The difference between compound interest and simple interest on a sum for 2 year at 20% per annum is Rs 200. If the interest is compounded half yearly, then what is the difference (in Rs) between compound and simple interest for 1st year?

A) 50 B) 75
C) 100 D) 150
 
Answer & Explanation Answer: A) 50

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Filed Under: Simple Interest
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Q:

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?

 

A) 26 B) 30.5
C) 31.66 D) 35
 
Answer & Explanation Answer: D) 35

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Filed Under: Percentage
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Q:

In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.

A) 75° B) 72°
C) 60° D) 78°
 
Answer & Explanation Answer: A) 75°

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Filed Under: Simplification
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