6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)

A) 800 cubic metres	B) 300 cubic metres
C) 480 cubic metres	D) 400 cubic metres

Answer & Explanation Answer: D) 400 cubic metres

Explanation:

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Filed Under: Area
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Q:

Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is

A) Rs. 280	B) Rs. 200
C) Rs. 260	D) Rs. 300

Answer & Explanation Answer: B) Rs. 200

Explanation:

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Filed Under: Profit and Loss
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Q:

A missile travels at 1260 km/h. How many metres does it travel in one second?

A) 322 metres	B) 369 metres
C) 384 metres	D) 350 metres

Answer & Explanation Answer: D) 350 metres

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Q:

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

A) 15	B) 32
C) 35	D) 53.5

Answer & Explanation Answer: B) 32

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Q:

In the given figure, ABCD is a square whose side is 4 cm. P is a point on the side AD. What is the minimum value (in cm) of BP + CP ?

A) 4√5	B) 4√4
C) 6√3	D) 4√6

Answer & Explanation Answer: A) 4√5

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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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Filed Under: Simplification
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Q:

What is the value of $\sin^{6} θ + \cos^{6} θ + 3 \sin^{2} θ \cos^{2} θ - 1$ ?

A) 0	B) 1
C) 2	D) 4

Answer & Explanation Answer: A) 0

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Q:

What is the value of $Cot 45 ° + 1 / 3 Cosec 60 °$ ?

A) √3 + 2	B) (9 + 2√3)/9
C) √3	D) (2√2 + 3)/√6

Quantitative Aptitude - Arithmetic Ability Questions

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