6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A) 205	B) 194
C) 209	D) 159

Answer & Explanation Answer: C) 209

Explanation:

We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys).

Required number of ways = ( ${}^{6}C_{1} \times {}^{4}C_{3}$ ) + $({}^{6}C_{2} \times {}^{4}C_{2})$ + ( ${}^{6}C_{3} \times {}^{4}C_{1}$ ) + ( ${}^{6}C_{4}$ )

= (24+90+80+15)

= 209.

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Filed Under: Permutations and Combinations
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7 3684

Q:

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A) 21 litres	B) 15 litres
C) 23 litres	D) 18 litres

Answer & Explanation Answer: A) 21 litres

Explanation:

Suppose the two liquids A and B are 7x litres and 5x litres respectivel Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , GATE

9 3677

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 3676

Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number ?

A) 7	B) 23
C) 9	D) 21

Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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Filed Under: Problems on Numbers
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11 3675

Q:

1 bottle of honey costs Rs 240 but a pack of 4 of the same bottles costs Rs 768. What is the effective discount (in %) on the pack?

A) 16	B) 25
C) 10	D) 20

Answer & Explanation Answer: D) 20

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

0 3674

Q:

5th January 2018 was a Friday. Which of the following years will also have 5th January on a Friday?

A) 2022	B) 2020
C) 2024	D) 2023

Answer & Explanation Answer: C) 2024

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

15 3661

Q:

Determine the nominal rate of interest if:
The periodic rate is 1.75% per quarter.

A) 7%	B) 8%
C) 9%	D) 10%

Answer & Explanation Answer: A) 7%

Explanation:

j=mi

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Filed Under: Compound Interest
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3 3660

Q:

The cash realised on selling a 14% stock at Rs. 106.25, brokerage being $\frac{1}{4}$ %, is :

A) RS.105.50	B) RS.106
C) RS.106.50	D) RS.113.75

Answer & Explanation Answer: B) RS.106

Explanation:

Cash realised = Rs. (106.25 - 0.25) = Rs. 106.

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Filed Under: Stocks and Shares

1 3655

Quantitative Aptitude - Arithmetic Ability Questions

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