6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year.

A) Rs. 101	B) Rs. 98.5
C) Rs. 124.3	D) Rs. 112.5

Answer & Explanation Answer: D) Rs. 112.5

Explanation:

Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest

She also lends it at 6 1⁄4% p.a for 2 years

=> Total Gain = 6 1/4% − 4% = 2 1/4%

So her gain in the transaction for 1 year

= The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum

= $\frac{P T R}{100} = \frac{5000 \times \frac{9}{4} \times 1}{100}$ = Rs. 112.5/ year.

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Filed Under: Simple Interest
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19 5464

Q:

A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?

A) 9/13	B) 4/13
C) 10/13	D) 8/13

Answer & Explanation Answer: A) 9/13

Explanation:

There are 13 spade and 3 more jack

Probability of getting spade or a jack:
=13+352=1652=413

So probability of getting neither spade nor a jack:
=1−413 = 9/13

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Filed Under: Probability

7 5463

Q:

Namitha sold a powerbank which is at the cost of Rs. 1950 at a loss of 25%. Find at what cost will she have to sell it to get a profit of 25%?

A) Rs. 3680	B) Rs. 3560
C) Rs. 3320	D) Rs. 3250

Answer & Explanation Answer: D) Rs. 3250

Explanation:

Let the Cost price of the powerbank = Rs. P

But given that by selling it at Rs. 1950, it gives a loss of 25%

=> $\frac{P x 75}{100} = 1950$
=> $P = \frac{1950 x 100}{75}$ = Rs. 2600
Now, to get a profit of 25%

Selling Price = $\frac{2600 x 125}{100} = Rs . 3250$ .

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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15 5461

Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in $11 \frac{1}{9}$ days, in how many days will Q alone do the same work ?

A) 24 days	B) 25 days
C) 20 days	D) 19 days

Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

=> $\frac{1}{L} + \frac{1}{L - 5} = \frac{9}{100}$

=> $9 L^{2} - 245 L + 500 = 0$

L = 25 days.

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Filed Under: Time and Work
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11 5449

Q:

If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ?

A) 100 mts	B) 96 mts
C) 98 mts	D) 120 mts

Answer & Explanation Answer: C) 98 mts

Explanation:

Let the distance between home and school is 'x'.
Let actual time to reach be 't'.
Thus, x/4 = t + 4 ---- (1)
and x/6 = t - 30 -----(2)
Solving equation (1) and (2)
=> x = 98 mts.

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Filed Under: Time and Distance
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7 5446

Q:

The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is:

A) 32	B) 40
C) 16	D) 30

Answer & Explanation Answer: A) 32

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P.

S.P. of P articles = Rs. 40.

Profit = Rs. (40 - P)

Now, Gain% = $\frac{P r o f i t}{C . P} \times 100$ = $\frac{40 - P}{P} \times 100$

Here $\frac{40 - P}{P} \times 100$ = 25

-->P = 32.

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Filed Under: Profit and Loss
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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6 5445

Q:

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

A) 1520 sq.m	B) 2420 sq.m
C) 2480 sq.m	D) 2520 sq.m

Answer & Explanation Answer: D) 2520 sq.m

Explanation:

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.

Solving the two equations, we get: l = 63 and b = 40.

Area = (l x b) = (63 x 40) sq.m

= 2520 sq.m

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Filed Under: Volume and Surface Area

1 5441

Q:

A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ?

A) 250 mts	B) 400 mts
C) 320 mts	D) 390 mts

Answer & Explanation Answer: B) 400 mts

Explanation:

Let the length of the 1st train = L mts

Speed of 1st train = 48 kmph

Now the length of the 2nd train = L/2 mts

Speed of 2nd train = 42 kmph

Let the length of the bridge = D mts

Distance = L + L/2 = 3L/2

Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)

Time = 12 sec

=> 3L/2x25 = 12

=> L = 200 mts

Now it covers the bridge in 45 sec

=> distance = D + 200

Time = 45 sec

Speed = 48 x5/18 = 40/3 m/s

=> D + 200/(40/3) = 45

=> D = 600 - 200 = 400 mts

Hence, the length of the bridge = 400 mts.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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15 5437

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