6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ?

$A) \frac{1}{3}$

$B) \frac{8}{21}$

$C) \frac{6}{21}$

$D) \frac{20}{21}$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: A) Option A

Explanation:

Total number of flowers = (8+7+6) = 21.

Let E = event that the flower drawn is neither red nor green.

= event taht the flower drawn is blue.

--> n(E)= 7

--> P(E)= $\frac{7}{21}$ = $\frac{1}{3}$

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams
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8 3366

Q:

The value of

$\left [ \frac{2^{n}+2^{n-1}}{2^{n+1}-2^{n}} \right ]$ is:

Answer

$\frac{2^{n} + \frac{2^{n}}{2}}{2 x 2^{n} - 2^{n}} = \frac{2^{n} (1 + \frac{1}{2})}{2^{n} (2 - 1)} = \frac{3}{2}$

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

20 3362

Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:0.7

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: D) 12

Explanation:

i=j/m

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

0 3361

Q:

A person divided a sum of Rs. 17,200 into three parts and invested at 5%. 6% and 9% per annum simple interest. At the end of two years, he got the same interest on each part of money. What is the money invested at 9%?

A) Rs. 3,200	B) Rs. 4,000
C) Rs. 4,800	D) Rs. 5000

Answer & Explanation Answer: B) Rs. 4,000

Explanation:

Let sum invested @ 5% be P1, @ 6% be P2 then @ 9% =17200-(P1+P2)

So according to question

P1*5*2/100 = P2*6*2/100 or P1 = (6/5) P2

Also P2*6*2/100 = [17200-(P1+P2)]*9*2/100

Or 2 P2 = [17200–(11/5)P2] * 3

Or (2 + 33/5)P2 = 17200 * 3

P2 = 17200 * 3 * 5 / 43 = 6000

So P1 = 6/5 P2 = 7200

So Sum invested @ 9% = 17200–(6000+7200) = Rs 4000

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Filed Under: Simple Interest
Exam Prep: Bank Exams

1 3356

Q:

If a+b+c = 6 and ab+bc+ca = 1, then the value of bc(b+c) + ca(c+a) +ab(a+b) +3abc is

A) 33	B) 66
C) 55	D) 23

Answer & Explanation Answer: B) 66

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

10 3353

Q:

The ages of Sunitha and Pranitha are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3 : 5?

A) 10 years	B) 15 years
C) 18 years	D) 24 years

Answer & Explanation Answer: A) 10 years

Explanation:

Given the ages of Sunitha and Pranitha are 40 years and 60 years.

Let before 'm' years, their ages be in the ratio of 3 : 5

ATQ,

$\frac{40 - m}{60 - m} = \frac{3}{5}$

=> 200 - 5m = 180 - 3m

=>2m = 20

=> m = 10 years.

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Filed Under: Problems on Ages
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3 3351

Q:

A’s salary is 50% more than B’s. How much percent is B’s salary less than A’s?

A) 24.5%	B) 29.5%
C) 31.3%	D) 33.3%

Answer & Explanation Answer: D) 33.3%

Explanation:

Let the salary of B be 100

Salary of A = 150%

B’s salary less than A = (150-100)/150 X 100 = 100/3 = 33.33%

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Filed Under: Percentage
Exam Prep: Bank Exams

2 3339

Q:

Advik's birthday is on Monday 19th June. On what day of the week will be Nishith's Birthday in the same year if Nishith was born on 17th November?

A) Saturday	B) Wednesday
C) Friday	D) Sunday

Quantitative Aptitude - Arithmetic Ability Questions

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