6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm	B) 15 cm
C) 20 cm	D) 30 cm

Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

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Q:

If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?

A) – 3	B) – 6
C) – 1	D) – 9

Answer & Explanation Answer: A) – 3

Explanation:

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Q:

Value of $(4 a^{2} + 12 ab + 9 b^{2}) / (2 a + 3 b)$ is

A) 2a - 3b	B) 2a + 3b
C) 2a	D) 3b

Answer & Explanation Answer: B) 2a + 3b

Explanation:

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Q:

An investor invested his saving in the stock market. The value of his investments increased by 12% and 9% in the first year and the second year respectively. If the value of his investments after two years became Rs 97,664 then how much had he invested (in Rs)?

A) 81000	B) 75000
C) 80000	D) 72000

Answer & Explanation Answer: C) 80000

Explanation:

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Filed Under: Percentage
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Q:

Two motorcycles are moving towards each other with the speeds of 38 km/hr and 88 km/hr respectively. One second before the collision what will be the distance (in metres) between the two motorcycles?

A) 42	B) 40
C) 34	D) 35

Answer & Explanation Answer: D) 35

Explanation:

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Q:

What is the remainder when 2468 is divided by 37?

A) 26	B) 36
C) 18	D) 14

Answer & Explanation Answer: A) 26

Explanation:

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Q:

What is the value of $2 + \sqrt{2 + \sqrt{2 + \sqrt{2}}} . . . . . . .$

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

Let 2+√2+√2..... = t
2+√t = t
t - 2 = √t
t = 4

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Q:

Find the unit place in ${(194)}^{102} + {(294)}^{103}$

A) 0	B) 6
C) 8	D) 2

Quantitative Aptitude - Arithmetic Ability Questions

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