Quantitative Aptitude - Arithmetic Ability Questions

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:

What is the average of all the one digit and two digit natural numbers?

A) 25 B) 40
C) 50 D) 99
 
Answer & Explanation Answer: C) 50

Explanation:
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Filed Under: Average
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Q:

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

A) 38 B) 46
C) 42 D) 36
 
Answer & Explanation Answer: B) 46

Explanation:
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Filed Under: Problems on Ages
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Q:

In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects?

 

A) 77 B) 58
C) 48 D) 23
 
Answer & Explanation Answer: D) 23

Explanation:

No of students failed in English only = 52 –17 = 35

No of students failed in maths only = 42 –17 = 25

Total no of failed students in either of the subjects = 35+17+25 = 77

No of passed student in both subjects = 100 –77 = 23

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Q:

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

A) 9/14 B) 14/9
C) -9/14 D) -14/9
 
Answer & Explanation Answer: C) -9/14

Explanation:
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Filed Under: Simplification
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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) Magenta B) Maroon
C) Turquoise D) Picasa
 
Answer & Explanation Answer: D) Picasa

Explanation:
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Filed Under: Odd Man Out
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Q:

What is the x-intercept of line joining (4, 2) and (6, 3)?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: A) 0

Explanation:
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Filed Under: Simplification
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Q:

The price of an article is discounted by 25%, to restore to its original value, the new price must be increased by

A) 57 percent B) 36.31 percent
C) 71.25 percent D) 33.33 percent
 
Answer & Explanation Answer: D) 33.33 percent

Explanation:
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Filed Under: Percentage
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