6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A can do 1/2 of a piece of work in 8 days while B can do1/3of the same work in 8 days. In how many days can both do it together?

A) 9.6 days	B) 10.5 days
C) 11.2 days	D) 16 days

Answer & Explanation Answer: A) 9.6 days

Explanation:

A completed their work in 8 X 2 = 16 days

B completed their work in 8 X 3 = 24 days

A and B one day work1/16 + 1/245/48

A and B completed their work in 48/5 days = 9.6 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

0 4692

Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24	B) 38 & 26
C) 36 & 24	D) 44 & 28

Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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

5 4683

Q:

What time will it be in 8 hours?

Answer

For exampe if it is 12:45 AM, then after 8 hours the time is

12 hrs 45 min + 8 hrs = 8 : 45 PM in the night on the same day.

Workspace

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

14 4683

Q:

A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?

A) 155:144:175	B) 155:124:95
C) 135:147:152	D) 175:144:115

Answer & Explanation Answer: D) 175:144:115

Explanation:

Let A’s investment be= 7a
Let B’s investment be= 6a
Let C’s investment be= 5a
Their investment in 2ndyear:= (125% of 7a): (120% of 6a) : (115% of 5a) = 175 : 144 : 115

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Filed Under: Partnership
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

3 4681

Q:

The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:

A) Rs. 21	B) Rs. 17
C) Rs. 18	D) Rs. 34

Answer & Explanation Answer: D) Rs. 34

Explanation:

$B G = \frac{{(T D)}^{2}}{P W} = \frac{(340)^{2}}{3400} = R s . 34$

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Filed Under: Banker's Discount

0 4680

Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260	B) 2520
C) 5040	D) 1080

Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

7 4678

Q:

In how many ways can 4 sit at a round table for a group discussions?

A) 9	B) 3
C) 6	D) 12

Answer & Explanation Answer: C) 6

Explanation:

We get this using the formula of circular permutations i.e., (4 - 1)! = 3! =6

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Filed Under: Permutations and Combinations

0 4675

Q:

Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

A) 17/112	B) 55/221
C) 55/121	D) 33/221

Answer & Explanation Answer: B) 55/221

Explanation:

n(S) = ${}^{52}C_{2}$ = 1326

Let A = event of getting both red cards

and B = event of getting both queens

then $(A \cap B)$ = event of getting two red queens

n(A) = ${}^{26}C_{2}$ = 325, n(B) = ${}^{4}C_{2}$ = 6

$n (A \cap B) = {}^{2}C_{2} = 1$

$∴ P (A) = \frac{325}{1326}, P (B) = \frac{6}{1326}$

$P (A \cap B) = \frac{1}{1326}$

$∴$ P ( both red or both queens) = $P (A \cup B)$

= $P (A) + P (B) - P (A \cap B) =$ $\frac{325}{1326} + \frac{1}{221} - \frac{1}{1326}$ = $\frac{55}{221}$

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Filed Under: Probability

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Quantitative Aptitude - Arithmetic Ability Questions

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