6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds	B) 90 seconds
C) 105 seconds	D) 135 seconds

Answer & Explanation Answer: C) 105 seconds

Explanation:

Let the plane be at point A at t se

conds and at point B

after t + 30 seconds

Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is

diametrically opposite to the point P from where the angle is same.

Now since the time taken to cover the full circ

le is 3 minutes (180

seconds), the time taken by the plane

to reach the diametrically opposite point will be 90 seconds.

So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds

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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 3573

Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. The difference between the ages of the replaced and the new members?

A) 16 years	B) 15 years
C) 14 years	D) 13 years

Answer & Explanation Answer: B) 15 years

Explanation:

Let avg ages of 5 members at present is G

And age of new member is m and an older is n

Required = (5G + m - n)/5 = G - 3

m - n = 15 years

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

16 3572

Q:

Calculate the effective interest rate compounded quarterly of a 13% annual rate.

A) 13.65%	B) 14.665%
C) 15.65%	D) 16.65%

Answer & Explanation Answer: A) 13.65%

Explanation:

E=(1+i/n)^n-1

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

0 3570

Q:

Calculate the effective interest rate of a 10% annual rate compounded continuously.

A) 9.52%	B) 10.52%
C) 11.52%	D) 12.52%

Answer & Explanation Answer: B) 10.52%

Explanation:

E=e^i-1

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

0 3567

Q:

A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

A) Rs. 1400	B) Rs. 900
C) Rs. 1600	D) Rs. 1200

Answer & Explanation Answer: A) Rs. 1400

Explanation:

Money lent at 9% = x
Money lent at 7% = (2600 – x)
⇒ 9x/100 + (2600 – x) X 7 /100 = 206
⇒ 9x + 18200 – 7x = 20600
⇒ 2x = 2400
⇒ x = 1200
Money lent at 7% = 2600-1200 = 1400

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Filed Under: Percentage
Exam Prep: Bank Exams

0 3566

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
Job Role: Bank PO , Bank Clerk

8 3564

Q:

A man's annual income has increased by Rs 1.2 lakhs but the tax on income that he has to pay has reduced from 12% to 10%. He now pays the same amount of tax as before. What is his increased income (in Rs lakhs)?

A) 8.4	B) 7.2
C) 9.6	D) 6

Answer & Explanation Answer: B) 7.2

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

9 3562

Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10	B) 20
C) 40	D) 80

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