6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The principal that amounts to Rs.4913 in 3 years at $4 \frac{1}{3}$ % per annum compound interest compounded annually is

A) Rs.3096	B) Rs.4076
C) Rs.4085	D) Rs.4096

Answer & Explanation Answer: D) Rs.4096

Explanation:

principal = $A = 4913, T = 3, R = 4 \frac{1}{3}$

$P = {\frac{A}{(\frac{1 + R}{100})}}^{T}$

= Rs.4096

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Filed Under: Compound Interest
Exam Prep: GRE

30 24495

Q:

Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in

A) 6 days	B) 12 days
C) 4 days	D) 3 days

Answer & Explanation Answer: D) 3 days

Explanation:

Let x men can do the in 12 days and the required number of days be z

More men, Less days [Indirect Proportion]

Less work, Less days [Direct Proportion ]

$\begin{array}{r} \begin{matrix} m e n & 2 x & : & x \end{matrix} \\ \begin{matrix} w o r k & 1 & : & \frac{1}{2} \end{matrix} \end{array}\} : : 12 : z$

$∴ (2 x \times 1 \times z) = (x \times \frac{1}{2} \times 12)$

$\Rightarrow z = 3$

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Filed Under: Chain Rule

28 24492

Q:

Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?

A) Rs 1.10	B) Rs 11
C) Rs 16.50	D) Rs 27.50

Answer & Explanation Answer: D) Rs 27.50

Explanation:

Cost price of 25 kg = Rs. (15 x 14.50 + 10 x 13) = Rs. 347.50.
Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.
profit = Rs. (375 — 347.50) = Rs. 27.50.

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Filed Under: Profit and Loss

49 24466

Q:

A 6% stock yields 8% . The market value of the stock is :

A) Rs.48	B) Rs.75
C) Rs.96	D) Rs.133.33

Answer & Explanation Answer: B) Rs.75

Explanation:

For an income of Rs. 8, investment = Rs. 100.

For an income of Rs 6, investment =Rs. (100/8*6) = Rs. 75

Market value of Rs. 100 stock = Rs. 75.

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Filed Under: Stocks and Shares

28 24443

Q:

A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest

A) 3%	B) 4%
C) 5%	D) 6%

Answer & Explanation Answer: D) 6%

Explanation:

S.I. = Rs. (15500 - 12500) = Rs. 3000.

Rate = $(\frac{100 * 3000}{12500 * 4})$ % = 6%

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Filed Under: Simple Interest
Exam Prep: GRE

20 24441

Q:

The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.

A) 27 and 23	B) 24 and 23
C) 25 and 23	D) 22 and 23

Answer & Explanation Answer: A) 27 and 23

Explanation:

Let the two parallel sides of the trapezium be a cm and b cm.

Then, a - b = 4

And, $\frac{1}{2} \times (a + b) \times 19 = 475 = > (a + b) = 50$

Solving (i) and (ii), we get: a = 27, b = 23.

So, the two parallel sides are 27 cm and 23 cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

23 24434

Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is :

A) 1 : 2	B) 2 : 3
C) 3 : 4	D) 4 : 5

Answer & Explanation Answer: B) 2 : 3

Explanation:

Let the ratio be k : 1. Then,

k * 16.4 + 1 * 15.4 = (k + 1) * 15.8

<=> (16.4 - 15.8) k = (15.8 - 15.4) <=> k = 0.4/0.6 = 2/3.

Required ratio = 2/3 : 1 = 2 : 3.

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Filed Under: Average

37 24371

Q:

On what dates of July.2004 did Monday fall?

A) 6th,10th,21st,30th	B) 12th,7th,19th,28th
C) 5th,10th,24th,17th	D) 5th, 12th, 19th, 26th

Answer & Explanation Answer: D) 5th, 12th, 19th, 26th

Explanation:

Let us find the day on 1st July, 2004.

2000 years have 0 odd day. 3 ordinary years have 3 odd days.

Jan. Feb. March April May June July

31 + 29 + 31 + 30 + 31 + 30 + 1

= 183 days = (26 weeks + 1 day) = 1 t .

Total number of odd days = (0 + 3 + 1) odd days = 4 odd days. '

:. 1st July 2004 was 'Thursday',-,-

Thus, 1st Monday in July 2004 _as on 5th July.

Hence, during July 2004, Monday fell on 5th, 12th, 19th and 26th. .

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Filed Under: Calendar

118 24334

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