Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many times does the number 5 occur in the range of numbers from 1 to 100?

A) 21 B) 22
C) 20 D) 19
 
Answer & Explanation Answer: C) 20

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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:

O is the center of the circle and two tangents are drawn from a point P to this circle at points A and B. If ∠AOP = 50°, then what is the value (in degrees) of ∠APB?

A) 60 B) 80
C) 90 D) 100
 
Answer & Explanation Answer: B) 80

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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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Q:

The orthocentre of a triangle is the point where

A) the medians meet B) the altitudes meet
C) the right bisectors of the sides of D) the bisectors of the angles
 
Answer & Explanation Answer: B) the altitudes meet

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Q:

ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ∠DBC = 35°, Then ∠AED measures

A) 35° B) 45°
C) 55° D) 90°
 
Answer & Explanation Answer: C) 55°

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Q:

The total surface area of a cube is 73.5 sq.cm. Find its side (in cm).

A) 3.5 B) 4.5
C) 7.5 D) 5.5
 
Answer & Explanation Answer: A) 3.5

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Q:

What is the value of 643 × 121289 - 169 ?

A) 12 B) 11
C) 1/11 D) 1/12
 
Answer & Explanation Answer: B) 11

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