6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?

A) 25 m	B) 21 m
C) 22 m	D) 19 m

Answer & Explanation Answer: A) 25 m

Explanation:

A:B = 200 : 169
A:C = 200 : 182
$\frac{C}{B} = \frac{C}{A} \times \frac{A}{B}$

$\frac{182}{200} \times \frac{200}{169}$

=> 182:169

When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers $\frac{169}{182} \times 350$
=> 325 m

So C beats B by (350 - 325) = 25 m.

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Filed Under: Time and Distance
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6 3087

Q:

Manu invested an amount of Rs. 14800 at the rate of 7% per annum. After how many years will she obtain a simple interest of Rs.15800?

A) 16.75 yrs	B) 15.25 yrs
C) 14 yrs	D) 13.5 yrs

Answer & Explanation Answer: B) 15.25 yrs

Explanation:

We know that,

I = PTR/100

ATQ,

15800 = 14800 x T x 6/100

T = 15800/148x7

T = 15800/1036

T = 15.25 yrs.

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Filed Under: Simple Interest
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10 3086

Q:

1000, 1012, 988, 1024, 978 Odd man out?

A) 978	B) 1024
C) 988	D) 1012

Answer & Explanation Answer: A) 978

Explanation:

The given series is 1000, 1012, 988, 1024, 978

1000

1000 + 12 = 1012

1012 - 24 = 988

988 + 36 = 1024

1024 - 48 = 976 (Not 978)

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Filed Under: Odd Man Out
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6 3086

Q:

A woman invests Rs. 2000 at the start of each year at 5% C.I. per annum. How much will her investments be at the end of the 2nd year?

A) Rs. 4305	B) Rs. 430
C) Rs. 4355	D) Rs. 4350

Answer & Explanation Answer: A) Rs. 4305

Explanation:

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Filed Under: Compound Interest
Exam Prep: Bank Exams

14 3084

Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds	B) 90 seconds
C) 105 seconds	D) 135 seconds

Answer & Explanation Answer: C) 105 seconds

Explanation:

Let the plane be at point A at t se

conds and at point B

after t + 30 seconds

Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is

diametrically opposite to the point P from where the angle is same.

Now since the time taken to cover the full circ

le is 3 minutes (180

seconds), the time taken by the plane

to reach the diametrically opposite point will be 90 seconds.

So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds

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Filed Under: Time and Distance
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3 3083

Q:

Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.

A) 18/95	B) 18/190
C) 1/2	D) 91/190

Answer & Explanation Answer: D) 91/190

Explanation:

Total number of elementary events = $20 C_{2}$ ways =190

There are 7 white balls out of which one white can be drawn in 7 $C_{1}$ ways and one ball from remaining 13 balls can be drawn in $13 C_{1}$ ways.

So,favourable events = $7 C_{1} * 13 C_{1}$

Therfore,required probability = ( $7 C_{1} * 13 C_{1}$ )/ $20 C_{2}$ =91/90

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Filed Under: Probability

2 3081

Q:

Karthik is now 32 years old and his son is 7 years old. In how many years will Karthik be twice as old as the son?

A) 18	B) 25
C) 7	D) 15

Answer & Explanation Answer: A) 18

Explanation:

Given Karthik’s age = 32 years

Karthik’s son age = 7 years

Difference between their ages = K - S = 32 - 7 = 25 years ….(1)

Now, required K = 2S ……(2)

Put (2) in (1)

2S - S = 25

=> S = 25 years

Hence, at the age of 25 years of Karthik’s son, Karthik will be twice as his son’s age.

25 - 7 = 18 years

Therefore, after 18 years the father be twice as old as the son.

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Filed Under: Problems on Ages
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3 3080

Q:

In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

A) 32√3	B) 24[(√3) – 1]
C) 48[(√3) – 1]	D) 16[3 – (√3)]

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