6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Solve this inequality 3p - 16 < 20?

A) p >= 12	B) p <= 11/3
C) p < 12	D) p > 11/3

Answer & Explanation Answer: C) p < 12

Explanation:

The given inequality is 3p - 16 < 20

For solving this inequality, follow these steps

Now add 16 on both sides

we get 3p - 16 + 16 < 20 + 16

=> 3p < 36

Now divide the above eqn with 3 on both sides

we get, 3p/3 < 36/3

p < 12.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 4103

Q:

If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:

A) 5	B) 15/8
C) 8/15	D) 16/3

Answer & Explanation Answer: D) 16/3

Explanation:

x : y = 8 : 15
If y = 10, x = 8/15 X 10
y = 16/3

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Filed Under: Simplification
Exam Prep: Bank Exams

2 4103

Q:

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1} t h e n f i n d t h e v a l u e o f [\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}] i s : :$

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

Answer & Explanation Answer: B) 4/3

Explanation:

By simplifying, we get 4/3

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
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7 4095

Q:

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

A) 1	B) 1/2
C) 3/4	D) 1/3

Answer & Explanation Answer: B) 1/2

Explanation:

P(heart cards)=13/52

P(diamond cards)=13/52

P(heart or diamond)=13/52+13/52=1/2

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Filed Under: Probability

2 4091

Q:

A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?

A) 7	B) 11
C) 9	D) 13

Answer & Explanation Answer: B) 11

Explanation:

Interest earned in scheme M =

$P [{(1 + \frac{20}{100})}^{2} - 1] = \frac{11 P}{25}$

Interest earned in scheme N =

$\frac{P x k x 2}{100} = \frac{P k}{50}$

Now, from the given data,

$\frac{11 P}{25} = 2 x \frac{P k}{50}$

k = 11

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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20 4090

Q:

A, B and C together can finish a task in 12 days. A is twice as productive as B and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave?

A) 10	B) 20
C) 15	D) 18

Answer & Explanation Answer: D) 18

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 4088

Q:

In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series.

7 18 42 94 204

4 M N O P

What value will come in place of P?

A) 179	B) 184
C) 164	D) 156

Answer & Explanation Answer: D) 156

Explanation:

Here the given series 7 18 42 94 204 follows a pattern that,

7

7 ×2+4 = 18

18 ×2+6 = 42

42 ×2+10 = 94

94 ×2+16 = 204

Similarly,

4

4 ×2+4 = 12

12 ×2+6 = 30

30 ×2+10 = 70

70 ×2+16 = 156

Hence, the value of P = 156.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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8 4086

Q:

In a hostel the rent per room is increased by 20%. If number of rooms in the hostel is also increased by 20% and the hostel is always full, then what is the percentage change in the total collection at the cash counter?

A) 30%	B) 40%
C) 44%	D) 48%

Answer & Explanation Answer: C) 44%

Explanation:

Let initial rent be rs 10

And initial rooms be 10

So initial collection = 10*10 = Rs 100

Now new rent = 10 + 20% of 10 = 12

New no of rooms = 10 + 20% of 10 = 12

So new collection = 12*12 = 144

% change in collection = (144-100)/100*100 = 44%

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Filed Under: Percentage
Exam Prep: Bank Exams

4 4084

Quantitative Aptitude - Arithmetic Ability Questions

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