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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

A) a(√2 –1) B) a(√3 –1)
C) a/√2+2 D) a/3
 
Answer & Explanation Answer: A) a(√2 –1)

Explanation:

Since we are forming a regular octagon

so AE = AL = FB = BG and so on

So AE = SB = x/√2

AE + EF + FB = side of square = a (Given)

So x/√2 + x + x/√2 = a

X = a/(√2+1) = a(√2 -1)

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Filed Under: Volume and Surface Area
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Q:

Find the average of all prime numbers from 1 to 50.

A) 21.867 B) 22.857
C) 23.887 D) 24.867
 
Answer & Explanation Answer: A) 21.867

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Triangle ΔXYZ is similar to ΔPQR. If XY:PQ=5:1. If Area of ΔPQR is 5 sq cm, what is the area (in sq cm) of ΔXYZ?

A) 125 B) 120
C) 100 D) 64
 
Answer & Explanation Answer: A) 125

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 92 B) 29
C) 36 D) 63
 
Answer & Explanation Answer: B) 29

Explanation:
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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

97 x 97 = ?

A) 9391 B) 9409
C) 9049 D) 9309
 
Answer & Explanation Answer: B) 9409

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

In ΔDEF measure of angle E is 90 deg. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?

 

A) 34   B) 15  
C) 30   D) 14
 
Answer & Explanation Answer: C) 30  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The sum of three consecutive even integers is 84. Which is the least integer among them?

A) 28 B) 30
C) 32 D) 26
 
Answer & Explanation Answer: D) 26

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

The pair of linear equations 3x + y = 1 and px + 2y = 5 has no finite solution if

A) p>=6 B) p = 6
C) 0 < p < 6 D) p = 0
 
Answer & Explanation Answer: B) p = 6

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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