6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ?

A) 29 sec	B) 58 sec
C) 36 sec	D) 44 sec

Answer & Explanation Answer: C) 36 sec

Explanation:

Speed of train relative to man = 67 - 7 = 60 km/hr.
= 60 x 5/18 = 50/3 m/sec.

Time taken to pass the man = 600 x 3/50 = 36 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

3 6277

Q:

What is the difference between the banker's discount and the true discount on Rs.8100 for 3 months at 5%

A) Rs. 2	B) Rs. 1.25
C) Rs. 2.25	D) Rs. 0.5

Answer & Explanation Answer: B) Rs. 1.25

Explanation:

F = Rs. 8100

R = 5%

T = 3 months = 1/4 years

$B D = \frac{F T R}{100} = \frac{8100 \times \frac{1}{4} \times 5}{100} = R s . 101.25$

$T D = \frac{F T R}{100 + T R} = \frac{8100 \times \frac{1}{4} \times 5}{100 + (\frac{1}{4} \times 5)} = R s . 100$

Therefore BD - TD = 101.25-100 = Rs.1.25

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Filed Under: Banker's Discount

1 6262

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
Job Role: Analyst , Bank Clerk , Bank PO

15 6257

Q:

There are 7 men and 10 women on a committee selection pool.A committee consisting of President,Vice-President, and Treasurer is to be formed.How many ways can exactly two men be on the committe ?

A) 1200	B) 1240
C) 1260	D) 1620

Answer & Explanation Answer: C) 1260

Explanation:

There are $7 C_{2}$ ways of selecting two men, and $10 C_{1}$ ways of selecting a woman.Since each position in the committee is different,arrange the three people in 3! ways.

So, $7 C_{2} * 10 C_{1} * 3! = 1260$

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Filed Under: Permutations and Combinations

1 6255

Q:

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is

A) Rs.1650	B) Rs.1550
C) Rs.1750	D) Rs.1850

Answer & Explanation Answer: C) Rs.1750

Explanation:

C.I. =Rs[4000x(1+10/100)²-4000]

Rs.(4000x11/10x11/10-4000) = Rs.940.

Sum

=Rs. [420 *100 /3 * 8]

= Rs.1750.

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

3 6255

Q:

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

A) 57	B) 67
C) 77	D) 87

Answer & Explanation Answer: C) 77

Explanation:

Money collected = (59.29 x 100) paise = 5929 paise.

Number of members = $\sqrt{5929}$ = 77.

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Filed Under: Square Roots and Cube Roots

26 6251

Q:

A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

A) Rs. 456	B) Rs. 458
C) Rs. 558	D) Rs. 568

Answer & Explanation Answer: C) Rs. 558

Explanation:

Area to be plastered= [2(l + b) x h] + (l x b)

= [2(25 + 12) x 6] + (25 x 12)

= (444 + 300)

= 744

Cost of plastering = Rs. 744 x (75/100)= Rs. 558

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Filed Under: Volume and Surface Area

1 6251

Q:

The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is

A) 7! x 7!	B) 7! x 6!
C) 6! x 6!	D) 7! x 5!

Answer & Explanation Answer: B) 7! x 6!

Explanation:

The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in $7 P_{6}$ ways. 7 teachers can sit in (7-1)! ways.

Required no.of ways is = $7 P_{6} . 6! = 7! . 6!$

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

10 6247

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