6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

A) 300	B) 350
C) 250	D) 275

Answer & Explanation Answer: A) 300

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}} = \frac{2800}{{(1 + \frac{12}{100})}^{2}}$ = Rs.2500

TD = Amount - PW = 2800 - 2500 = Rs.300

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Filed Under: True Discount

0 3922

Q:

If an investment can earn 4% compounded monthly, what amount must you invest now in order to accumulate $10,000 after 3 years?

A) 8695.61	B) 6786
C) 3478	D) 4092

Answer & Explanation Answer: A) 8695.61

Explanation:

i=j/m

PV = FV (1+ i)^-n

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

0 3921

Q:

The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?

Answer

As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased

Population of the city at the end of the second year= $p\left ( 1+\frac{R1}{100} \right )\left ( 1-\frac{R2}{100} \right )$

$\Rightarrow$ $415600\left ( 1+\frac{25}{100} \right )\left ( 1-\frac{30}{100} \right )$

$\Rightarrow$ 363650.

Workspace

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Subject: Percentage Exam Prep: CAT
Job Role: Bank Clerk

12 3920

Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec	B) 47 sec
C) 33 sec	D) None of these

Answer & Explanation Answer: C) 33 sec

Explanation:

B runs 35 m in 7 sec.

B covers 200 m in (7/35*200) = 40sec

B's time over the course = 40 sec.

A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

2 3916

Q:

From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?

A) 427	B) 531
C) 651	D) 714

Answer & Explanation Answer: B) 531

Explanation:

Given in the question that, there are 7 boys and 6 girls.

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team =

$(6 C_{3} x 7 C_{2}) + (6 C_{4} x 7 C_{1}) + (6 C_{5}) = [\frac{6 x 5 x 4}{3 x 2 x 1} x \frac{7 x 6}{2 x 1}] + [\frac{6 x 5 x 4 x 3}{4 x 3 x 2 x 1} x 7] + [\frac{6 x 5 x 4 x 3 x 2}{5 x 4 x 3 x 2 x 1}] = 420 + 105 + 6 = 531 .$

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

5 3916

Q:

Maheshwari wants to buy 7 floors in an 68 storied building whose numbering stars from 1 upto 68. But she has to follow certain rules which are as follows :

1) None of the floor should be a prime number

2) None of the digit of the floor should be a prime number

3) Maheshwari cannot buy the 1st floor as it is being assigned to the architect.

So how many options are left with Maheshwari to buy the floors ?

A) 11	B) 17
C) 13	D) 19

Answer & Explanation Answer: B) 17

Explanation:

Since floor starts form the 1 therefore 2 will be the 1st floor.
Form 1 to 10 only 4,6,8,9,10 are not prime.
Form 11 to 20 only 14 ,16,18 are not prime also non of their digits are prime.
From 21 to 30 each number has a prime number so it must no be consider.
In between 40 to 49 we have to consider only 40,44,46,48,49.
50 to 59 follow either of the condition so we have too neglect it.
In between 60 to 68 60,64,66,68.
total option = 17.

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Filed Under: Numbers
Exam Prep: AIEEE , CAT , Bank Exams
Job Role: Bank Clerk , Bank PO

4 3915

Q:

If $\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3} t h e n a & b = ?$

A) a=-11,b=-6	B) a=-11,b=6
C) a=11,b=-6	D) a=11,b=6

Answer & Explanation Answer: C) a=11,b=-6

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 3906

Q:

What is the number of decimal places in a cube root of a number having 27 decimal places ?

A) 3	B) 6
C) 9	D) 27

Quantitative Aptitude - Arithmetic Ability Questions

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