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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?

A) 17 B) 20
C) 11 D) 9
 
Answer & Explanation Answer: B) 20

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Q:

If a rod of length 208 45 is cut into equal pieces of length 23 15 then the total number of rods obtained is

A) 5 B) 8
C) 9 D) 7
 
Answer & Explanation Answer: C) 9

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Q:

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

A) XTD B) TSE
C) MDI D) SOD
 
Answer & Explanation Answer: B) TSE

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Q:

Find the missing number?

A) 216 B) 1024
C) 1296 D) 2024
 
Answer & Explanation Answer: C) 1296

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Q:

If 2(3x ­- 4) -­ 2 < 4x ­- 2 ≥ 2x -­ 4; then the value of x is

A) 2 B) 5
C) -4 D) -5
 
Answer & Explanation Answer: A) 2

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Q:

Simplify x5 ÷ x43 ÷ x

A) x3 B) x2
C) X D) 1/X
 
Answer & Explanation Answer: B) x2

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Q:

If the ∠ABC and ∠ACB of triangle ABC is 80 deg and 60 deg respectively. If the Incenter of the triangle is at point ‘I’ then calculate angle BIC.

 

A) 55 deg B) 88 deg
C) 110 deg D) 120 deg
 
Answer & Explanation Answer: C) 110 deg

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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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