6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

A) 160	B) 175
C) 180	D) 195

Answer & Explanation Answer: B) 175

Explanation:

Suppose the man works overtime for x hours.

Now, working hours in 4 weeks = (5 x 8 x 4) = 160.

Therefore, 160 * 2.40 + x * 3.20 = 432

=> 3.20x = 432 - 384 = 48

=> x = 15.

Hence, total hours of work = (160 + 15) = 175.

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34 29956

Q:

For how many positive integers 'n', $n^{3} - 8 n^{2} + 20 n - 13$ is a prime?

A) 3	B) 2
C) 5	D) 7

Answer & Explanation Answer: A) 3

Explanation:

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2 29951

Q:

If a + b + c = 13, $a^{2} + b^{2} + c^{2} = 69$ then find the ab + bc + ca :

A) 10	B) 30
C) 50	D) 70

Answer & Explanation Answer: C) 50

Explanation:

${(a + b + c)}^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)$

$2 (a b + b c + c a) = {(a + b + c)}^{2} - (a^{2} + b^{2} + c^{2}) = 169 - 69 = 100 = (a b + b c + c a) = 50$

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52 29943

Q:

$2^{2} - 3^{3} + 4^{3} - 6^{2} = ?$

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

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0 29942

Q:

Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of rajeev?

A) 12	B) 14
C) 22	D) 10

Answer & Explanation Answer: D) 10

Explanation:

Let Rajeev's present age be x years.

Rajeev's age after 15 years = (x + 15) years.

Rajeev's age 5 years back = (x - 5) years

Then ATQ,

x + 15 = 5 (x - 5)

x + 15 = 5x - 25

=> x = 10

Hence, Rajeev's present age = x = 10 years.

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Filed Under: Problems on Ages
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48 29939

Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

A) 3√3/2	B) 1+√3
C) (2√2+1)/2	D) (3√3+1)/6

Answer & Explanation Answer: A) 3√3/2

Explanation:

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Q:

The average age of a group of 10 students is 15 years. When 5 more students join the group, the average age increase by 1 year. The average age of the new students is?

Answer

Total age of 10 students = 150 years

Total age of 15 students = 240 years

Total age of 5 new students = 240 - 150 = 90 years

$\inline \therefore$ Average age of 5 new students = $\frac{90}{5}$ = 18 years

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Subject: Problems on Ages

153 29883

Q:

How many terms are in the G.P. 3, 6, 12, 24, ......., 384 ?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: A) 8

Explanation:

Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 384 => a * r^(n-1) = 384
=> 3 * 2^(n-1) = 384 => 2^(n-1) = 128 = 2^(7)

=> n-1 = 7 => n = 8.

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33 29832

Quantitative Aptitude - Arithmetic Ability Questions

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