6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The average age of 80 boys in a class is 15 years. The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?

A) 15.25 years	B) 14 years
C) 14.75 years	D) Cannot be determined

Answer & Explanation Answer: A) 15.25 years

Explanation:

Total sum of age of 80 students of the class = 15 X 80 = 1200 years
15 students → 15 X 16 = 240 years
25 students → 25 X 14 = 350 years
Sum of 40 students = 590 years
Total age of remaining 40 students = 1200 – 590 = 610
So, average age = 15.25 years

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Filed Under: Average
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Q:

A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

A) 30	B) 32
C) 40	D) 56

Answer & Explanation Answer: C) 40

Explanation:

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Q:

(45.004% of 1439.97 –15.99% of 2249.97) ÷ 35.98 = ?

A) 7	B) 5
C) 3	D) 8

Answer & Explanation Answer: D) 8

Explanation:

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Q:

If the angle subtended by the radius of the circle and vertex B of the triangle ABC is $40^{0}$ . Then calculate the value of $∠ B A C$

A) 350	B) 450
C) 500	D) 650

Answer & Explanation Answer: C) 500

Explanation:

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Q:

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

A) [(5√3) – 3]	B) [(4√3) – 2]
C) [(2√5) – 1]	D) [(2√6) – 1]

Answer & Explanation Answer: D) [(2√6) – 1]

Explanation:

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Q:

The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is

A) 144 sq. cms	B) 288√3 sq. cms
C) 144√3 sq. cms	D) 288sq.cms

Answer & Explanation Answer: C) 144√3 sq. cms

Explanation:

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Filed Under: Simplification
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Q:

The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?

A) 88.24	B) 106.71
C) 92.15	D) 112.64

Answer & Explanation Answer: C) 92.15

Explanation:

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Filed Under: Height and Distance
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Q:

What is the area (in sq cm) of a circle whose circumference is 26.4 cm?

A) 55.44	B) 44.55
C) 33.44	D) 44.33

Quantitative Aptitude - Arithmetic Ability Questions

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