6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18	B) 24
C) 36	D) 32

Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = $4 C_{2} \times 3 C_{2} \times 2 C_{1} = 36$ = 36

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17 4101

Q:

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

A) Rs. 3680	B) Rs. 2650
C) Rs. 1400	D) Rs. 1170

Answer & Explanation Answer: C) Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by $C . I_{n} - S . I_{n} = P {[\frac{R}{100}]}^{n}$

Here n = 2 years, R = 20%, C.I - S.I = 56

$56 = P {[\frac{20}{100}]}^{2} = > P = 56 x {(5)}^{2} = > P = 56 x 25 = > P = Rs . 1400$

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Filed Under: Compound Interest
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28 4101

Q:

12 men complete a work in 14 days. 5 days after they had started working, 3 men join them. How many more days will all of them take to complete the remaining work?

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

Answer & Explanation Answer: C) 3

Explanation:

Let p be the required number of days.

From the given data,

12 x 14 = 12 x 5 + (12+3) x p

12 x 14 = 12[5 + 3p]

14 = 5 + 3p

3p = 9

p = 3 days.

Hence, more 3 days all of them take to complete the remaining work.

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Filed Under: Time and Work
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2 4095

Q:

Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?

A) 3300	B) 2700
C) 3000	D) 4200

Answer & Explanation Answer: C) 3000

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

6 4090

Q:

Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years?

I. The rate of interest is 5 p.c.p.a.

II. Simple interest fetched on the same amount in one year is Rs. 600.

III. The amount borrowed is 10 times the simple interest in 2 years.

A) I only	B) III only
C) I or II only	D) .II and Either I or III only

Answer & Explanation Answer: D) .II and Either I or III only

Explanation:

I. gives, Rate = 5% p.a.

II. gives, S.I. for 1 year = Rs. 600.

III. gives, sum = 10 x (S.I. for 2 years).

Now I, and II give the sum.

For this sum, C.I. and hence amount can be obtained.

Thus, III is redundant.

Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200.

Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000.

Thus, Rate =

100 x 1200

= 5% p.a.

2 x 12000

Thus, C.I. for 2 years and therefore, amount can be obtained.

Thus, I is redundant.

Hence, I or III redundant.

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0 4069

Q:

A man wills 40% of his wealth to his wife and rest to his children. What percent of the wealth willed to the wife do the children get?

A) 150	B) 66.6
C) 50	D) 20

Answer & Explanation Answer: A) 150

Explanation:

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Filed Under: Percentage
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2 4068

Q:

What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520?

A) 3.5%	B) 4%
C) 5%	D) 6.5%

Answer & Explanation Answer: C) 5%

Explanation:

Let 'R%' be the rate of interest

From the given data,

$\frac{2520}{2400} = \frac{{(1 + \frac{R}{100})}^{4}}{{(1 + \frac{R}{100})}^{3}} \Rightarrow (1 + \frac{R}{100}) = \frac{63}{60} \Rightarrow R = 5$

Hence, the rate of interest R = 5% per annum.

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Filed Under: Compound Interest
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19 4062

Q:

A boat goes 4 km upstream and 4 km downstream in 1 hour. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of oat in still water?

A) 6.5	B) 7.75
C) 9	D) 10.5

Quantitative Aptitude - Arithmetic Ability Questions

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