6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years?

A) Rs. 704	B) Rs. 854
C) Rs. 893	D) Rs. 914

Answer & Explanation Answer: A) Rs. 704

Explanation:

We know that,

$S . I . = \frac{PTR}{100} \Rightarrow P = \frac{S . I x 100}{T x R} And also, C . I = P [{(1 + \frac{R}{100})}^{n} - 1]$

From given data, P = Rs. 8625

Now, C.I = $8625 [{(1 + \frac{4}{100})}^{2} - 1] = 8625 [{(\frac{26}{25})}^{2} - 1] = 8625 [\frac{676}{625} - 1] = 8625 x \frac{51}{625} C . I = Rs . 703.80$

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Filed Under: Compound Interest
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11 4265

Q:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

519 328 746 495 837

A) 146	B) 203
C) 345	D) 96

Answer & Explanation Answer: A) 146

Explanation:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

Now arranging the given numbers in descending order.
837 746 519 495 328

519 - 746/2 = 519 - 373 = 146.

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Filed Under: Numbers
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3 4264

Q:

Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:

A) 13%	B) 8.5%
C) 9.5%	D) 11.25%

Answer & Explanation Answer: A) 13%

Explanation:

The ratio of money she lended is

24000 : 16000 = 3 : 2

Let the rate of interest be R%

8% R%

10

3 : 2

R = 13%.

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Filed Under: Profit and Loss
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10 4261

Q:

If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ?

A) 17.25 %	B) 18.14 %
C) 18.33 %	D) 17.35 %

Answer & Explanation Answer: C) 18.33 %

Explanation:

We know that I = PTR/100

11 = (2x30xR)/100

R = 18.333 %

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Filed Under: Simple Interest
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3 4257

Q:

Find the number of ways to arrange 4 people in groups of 3 at a time where order matters?

A) 20	B) 16
C) 24	D) 36

Answer & Explanation Answer: C) 24

Explanation:

P(4,3)= ${}^{4}P_{3}$ = 24

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Filed Under: Permutations and Combinations

0 4257

Q:

A group of five persons is formed from five boys and four girls. Find the probability that there are at least two girls in the group?

A) 110/129	B) 5/6
C) 121/126	D) 3/7

Answer & Explanation Answer: A) 110/129

Explanation:

Total number of possible ways =

$9 C_{5} = \frac{9 x 8 x 7 x 6 x 5}{5 x 4 x 3 x 2 x 1} = 126$

Number of favorable cases =

$4 C_{2} x 5 C_{3} + 4 C_{3} x 5 C_{2} + 4 C_{4} x 5 C_{1} \frac{4 x 3}{2 x 1} x \frac{5 x 4 x 3}{3 x 2 x 1} + \frac{4 x 3 x 2}{3 x 2 x 1} x \frac{5 x 4}{2 x 1} + 1 x 5 = 6 x 10 + 4 x 10 + 5 = 60 + 40 + 5 = 105$

Therefore, required probability = 105/126 = 5/6

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Filed Under: Probability
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10 4252

Q:

Lasya alone can do a work in 16 days. Srimukhi’s efficiency is 20 % lesser than that of Laya. If Rashmi and Srimukhi together can do the same work in 12 days, then find the efficiency ratio of Rashmi to that of Lasya?

A) 19 : 7	B) 30 : 19
C) 8 : 15	D) 31 : 17

Answer & Explanation Answer: C) 8 : 15

Explanation:

Given Lasya can do a work in 16 days.

Now, time taken by Srimukhi alone to complete the work = 16 x 100/80

Time taken by Rashmi = n days

=> (12 x 20)/(20 - 12) = (12 x 20)/n

=> n= 30 days.

Required ratio of efficiencies of Rashmi and Lasya = 1/30 :: 1/16 = 8 : 15.

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Filed Under: Time and Work
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7 4248

Q:

$T h e v a l u e o f l o g_{2} (l o g_{5} (625)) i s :$

A) 2	B) 5
C) 10	D) 15

Quantitative Aptitude - Arithmetic Ability Questions

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