6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In $∆ ABC,$ ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is

A) 40°	B) 75°
C) 90°	D) 105°

Answer & Explanation Answer: D) 105°

Explanation:

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Q:

The area of a circle is 616 sq cm, find its circumference?

A) 44 cm	B) 88 cm
C) 22 cm	D) 176 cm

Answer & Explanation Answer: B) 88 cm

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Q:

Sum of twice a fraction and its reciprocal is 17/6. What is the fraction?

A) 4/3	B) 5/4
C) 3/4	D) 4/5

Answer & Explanation Answer: C) 3/4

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Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Q:

The ratio of number of boys and girls in a school of 720 students is 7 : 5 . How many more girls should be admitted to make the ratio 1 : 1 ?

A) 90	B) 120
C) 220	D) 240

Answer & Explanation Answer: B) 120

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Filed Under: Ratios and Proportions
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Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
If S is sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S-3V) equal to?

A) 572 cub.cm	B) 728 cub.cm
C) 1144 cub.cm	D) None of the above

Answer & Explanation Answer: C) 1144 cub.cm

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Filed Under: Volume and Surface Area
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Q:

Seven years ago, the average age of A, B and C was 51 years. If A is 3 years older than B and B is 3 years older then C then the present ages of A, B and C are ( in year)

A) 61, 58 and 55	B) 54, 51, and 48
C) 55, 58, and 61	D) 48, 51 and 54

Answer & Explanation Answer: A) 61, 58 and 55

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Q:

A batsman makes a score of 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?

A) 35	B) 34
C) 33	D) 36

Quantitative Aptitude - Arithmetic Ability Questions

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