6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?

A) Rs. 500	B) Rs. 245
C) Rs. 1250	D) Rs. 635

Answer & Explanation Answer: A) Rs. 500

Explanation:

(kx5x1)/100 + [(1500 - k)x6x1]/100 = 85

5k/100 + 90 – 6k/100 = 85

k/100 = 5

=> k = 500

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 17653

Q:

12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?

A) 8	B) 15
C) 16	D) 18

Answer & Explanation Answer: D) 18

Explanation:

Capacity of the tank =(12 x 13.5) liters =162 liters.

Capacity of each bucket =9 liters

Number of buckets needed = 162/9 =18.

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Filed Under: Pipes and Cistern

26 17634

Q:

A sum of money invested at compound interest amounts to Rs. 800 in 3 years and to Rs. 840 in 4 years. The rate of interest per annum is

A) 6%	B) 4%
C) 5%	D) 7%

Answer & Explanation Answer: C) 5%

Explanation:

S.I. on Rs.800 for 1 year

=Rs[840 - 800]

= Rs.40

Rate

=(100x40/800x1)%

= 5%

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

15 17633

Q:

In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is :

A) 21	B) 20
C) 22	D) None of these

Answer & Explanation Answer: B) 20

Explanation:

It is the same as a person with 20 years more age replaces an existing person of the group ( or village)

Since the total age of the village having n persons, is being increased by 20 years and the average age of village is being increased by 1 year, hence there are total 20 people in the village.

Alternatively : ( n x 42 ) + 20 = ( n x 43 )

=> n=20

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Filed Under: Average

14 17610

Q:

What will come in place of question mark (?) in the following question?

$\frac{3}{4} of \frac{3}{5} of \frac{2}{3} of ? = 3174$

A) 10550	B) 10540
C) 10580	D) 10500

Answer & Explanation Answer: C) 10580

Explanation:

$\frac{2}{3} x \frac{3}{5} x \frac{3}{4} x ? = 3174 3174 x 10 / 3 = 10580$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 17605

Q:

Simple interest on a sum for 9 months at 8% per annum is Rs 270.What is the value (in Rs) of the sum?

A) 5200	B) 5400
C) 4500	D) 3600

Answer & Explanation Answer: C) 4500

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

8 17578

Q:

What should come in place of both the question marks in the equation

$\frac{?}{\sqrt{128}} = \frac{\sqrt{162}}{?}$

A) 12	B) 14
C) 144	D) 196

Answer & Explanation Answer: A) 12

Explanation:

Let $\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x}$

Then, $x^{2} = \sqrt{128 \times 162} = \sqrt{64 \times 2 \times 18 \times 9} = \sqrt{(8^{2} \times 6^{2} \times 3^{2})} = 8 \times 6 \times 3 = 144$

$∴ x = 12$

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Filed Under: Square Roots and Cube Roots

21 17577

Q:

4 kg of a metal contains 1/5 copper and rest in Zinc. Another 5 kg of metal contains 1/6 copper and rest in Zinc.The ratio of Copper and Zinc into the mixture of these two metals:

A) 49 : 221	B) 39:231
C) 94:181	D) None of these

Answer & Explanation Answer: A) 49 : 221

Explanation:

Copper in 4 kg = 4/5 kg and Zinc in 4 kg = 4 x (4/5) kg

Copper in 5 kg = 5/6 kg and Zinc in 5 kg = 5 x (5/6) kg

Therefore, Copper in mixture = $\frac{4}{5} + \frac{5}{6} = \frac{49}{30}$ kg

and Zinc in the mixture = $\frac{16}{5} + \frac{25}{6} = \frac{221}{30}$ kg

Therefore the required ratio = 49 : 221

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Filed Under: Alligation or Mixture

30 17570

Quantitative Aptitude - Arithmetic Ability Questions

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