6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years?

A) Rs. 364	B) Rs. 432
C) Rs. 498	D) Rs. 554

Answer & Explanation Answer: B) Rs. 432

Explanation:

Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount = $\frac{2 x 5400 x 4}{100} = 432$

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

2 3936

Q:

A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?

A) 30	B) 35
C) 40	D) 42

Answer & Explanation Answer: C) 40

Explanation:

A alone can do = 20days

Efficiency ratio of A & B= 4 : 5

Time required will be in ratio = 5:4

B alone will do it in =16 days

LCM of (16,20)= 80 ,

Assume work size of 80 units

1 day work of A= 4 units 1 day work of B= 5 units

Work done by both in 4 days= 4*(5+4)= 36 units

Work left= 80-36= 44 units

Now C takes 22 days to complete= 44 units.

Time taken by C alone to complete the work= 40 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

0 3936

Q:

29 is 0.8% of?

A) 3625	B) 1450
C) 7250	D) 10875

Answer & Explanation Answer: A) 3625

Explanation:

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams

3 3936

Q:

An engineering student has to secure 24% marks to pass. He gets 61 and fails by 29 marks. What is the maximum marks for that exam?

A) 375 marks	B) 400 marks
C) 425 marks	D) 450 marks

Answer & Explanation Answer: A) 375 marks

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

1 3929

Q:

Two persons A and B invested in a business with 115000and 75000 rupees respectively. They agree that 40% of theprofit should be divided equally among them and rest isdivided between them according to their investment. If Agot 500 rupee more than B, then the total profit is

A) 3599.34	B) 699.34
C) 3958.34	D) 999.34

Answer & Explanation Answer: C) 3958.34

Explanation:

Ratio in which the profit will divide – 23:15. Let theprofit be P

Now, [(23/38) - (15/38)] x (60/100) x P = 500

P = 3958.34

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Filed Under: Partnership

3 3929

Q:

The value of $\frac{\sqrt{80} - \sqrt{112}}{\sqrt{45} - \sqrt{63}}$ is:

A) 3/4	B) 4/3
C) 4/7	D) 7/4

Answer & Explanation Answer: B) 4/3

Explanation:

$\frac{\sqrt{80} - \sqrt{112}}{\sqrt{45} - \sqrt{63}} = \frac{\sqrt{16 \times 5} - \sqrt{16 \times 7}}{\sqrt{9 \times 5} - \sqrt{9 \times 7}} = \frac{4 \sqrt{5} - 4 \sqrt{7}}{3 \sqrt{5} - 3 \sqrt{7}}$

$= \frac{4 (\sqrt{5} - \sqrt{7})}{3 (\sqrt{5} - \sqrt{7})} = \frac{4}{3}$

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Filed Under: Square Roots and Cube Roots

10 3928

Q:

A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will A and B together can complete that work ?

A) 36	B) 40
C) 42	D) 38

Answer & Explanation Answer: B) 40

Explanation:

Remaining work = 1 - 9/10 = 1/10

=> A & B together completes 1/10 of work in 4 days

=> 1 work can completed in ------ ? days

Let it be x days

=> $\frac{4}{\frac{1}{10}} = \frac{x}{1}$

=> x = 40 days.

Hence, A & B together can complete the work in 40 days.

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

11 3928

Q:

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

A) 1	B) 1/2
C) 3/4	D) 1/3

Answer & Explanation Answer: B) 1/2

Explanation:

P(heart cards)=13/52

P(diamond cards)=13/52

P(heart or diamond)=13/52+13/52=1/2

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Filed Under: Probability

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