6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

One of the roots of the equation $x^{2} - 6 x + k = 0$ is x = 2. The other root is

A) x = -1	B) x = 4
C) x = -4	D) x = 1

Answer & Explanation Answer: B) x = 4

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 27980

Q:

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A) 3 hrs 15 min	B) 3 hrs 45 min
C) 4 hrs 15 min	D) 4 hrs 1

Answer & Explanation Answer: B) 3 hrs 45 min

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the four taps in 1 hour =4*1/6 =2/3

Remaining part = $(1 - \frac{1}{2}) = \frac{1}{2}$

$\frac{2}{3} : \frac{1}{2} : : 1 : x$

=> x = $(\frac{1}{2} * 1 * \frac{3}{2}) = \frac{3}{4}$

So, total time taken = 3 hrs. 45 mins.

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Filed Under: Pipes and Cistern

85 27977

Q:

Find the unit place digit in the expression given below:

1! + 2! + 3! + 4! + ..... + 20!

A) 5	B) 0
C) 3	D) 9

Answer & Explanation Answer: C) 3

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

2 27975

Q:

The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest p.c.p.a. ?

A) 12%	B) 13%
C) 14%	D) 15%

Answer & Explanation Answer: D) 15%

Explanation:

Let the rate be R% p.a. Then,

$[1800 {(1 + \frac{R}{100})}^{2} - 1800] - (\frac{1800 * R * 2}{100}) = 405$

$1800 [\frac{{(100 + R)}^{2}}{10000} - 1 - \frac{2 R}{100}] = 405$

$1800 [\frac{{(100 + R)}^{2} - 10000 - 200 R}{10000}] = 405$

$\Leftrightarrow$

$\frac{9}{5} * R^{2} = 405 \Leftrightarrow R^{2} = (\frac{405 * 5}{9}) = 225 \Leftrightarrow R = 15$
Rate = 15%.

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

23 27955

Q:

Find the total surface area (in cm2) of a right circular cylinder of diameter 7 cm and height 6 cm.

A) 187	B) 209
C) 163	D) 149

Answer & Explanation Answer: B) 209

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 27927

Q:

A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is :

A) 83.33 ml	B) 90.90 ml
C) 99.09 ml	D) can't be determined

Answer & Explanation Answer: A) 83.33 ml

Explanation:

Profit (%) = 9.09 % = 1/11

Since the ratio of water and milk is 1 : 11,

Therefore the ratio of water is to mixture = 1:12

Thus the quantity of water in mixture of 1 liter = 1000 x (1/12) = 83.33 ml

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Filed Under: Alligation or Mixture

76 27911

Q:

The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

A) 14 and 16	B) 13 and 27
C) 17 and 27	D) None of these

Answer & Explanation Answer: B) 13 and 27

Explanation:

Total no.of boys : no. of girls = 13:27

27 : 13

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Filed Under: Alligation or Mixture

69 27837

Q:

If the sum of the interior angles of a regular polygon is 720° then how many sides does it have?

A) 8	B) 9
C) 6	D) 10

Quantitative Aptitude - Arithmetic Ability Questions

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