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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The area of the triangle whose vertices are given by (2,4), (-3,-1) and (5,3) is

A) 10 sq.units B) 14 sq.units
C) 20 sq.units D) 7 sq.units
 
Answer & Explanation Answer: A) 10 sq.units

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Q:

If Sinx = 4/5, then Secx/Sinx = ?

A) 23/12 B) 25/4
C) 4/5 D) 25/12
 
Answer & Explanation Answer: D) 25/12

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Q:

The point equidistant from the sides of a triangle is called

A) Circumcenter B) Incentre
C) Orthocentre D) Centroid
 
Answer & Explanation Answer: B) Incentre

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Q:

In a rhombus _____.

A) Adjacent sides are not equal B) Opposite angles are supplementary
C) Diagonals bisect opposite angles D) Consecutive angles are equal
 
Answer & Explanation Answer: C) Diagonals bisect opposite angles

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Q:

Find the value of  y(y4 - y2 - y) when y = 5.

A) 2900 B) 2975
C) 2925 D) 2995
 
Answer & Explanation Answer: B) 2975

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Q:

The number of sides of a regular polygon whose exterior angles are each 72 deg is

A) 7 B) 6
C) 5 D) 8
 
Answer & Explanation Answer: C) 5

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Q:

An angle is 60 deg more than one fifth of its complement. Find the smaller angle in degrees.

A) 65 deg B) 35 deg
C) 25 deg D) 45 deg
 
Answer & Explanation Answer: C) 25 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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