6500+ Quantitative Aptitude Questions and Answers With Explanation

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 6120

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 6119

Q:

Two partners invest Rs 12500 and Rs 8500 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs 240 more than the other, find the total profit made in the business.

A) 3250	B) 4050
C) 3550	D) 3150

Answer & Explanation Answer: D) 3150

Explanation:

Clearly, If 60 % is equally divided then remaining 40% of total profit will be divided between 2 persons A and B in ratio of (profit of A) : (profit of B)= 12,500 : 8500 = 125 : 85 = 25:17
now difference in amount = 25-17 = 8 this difference = 240
therefore 40% of total profit = 240*(25+17)/(25-17) = 1260
∴ 100% profit = 1260 / 40 × 100 = 3150

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Filed Under: Partnership
Exam Prep: Bank Exams

2 6116

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 6110

Q:

In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps ?

A) 222 m 44 cm	B) 204 m
C) 201 m 21 cm	D) 208 m

Answer & Explanation Answer: B) 204 m

Explanation:

To find the minimum distance, we have to get the LCM of 75, 80, 85

Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400

Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

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

11 6105

Q:

If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon?

A) 14 kmph	B) 13 kmph
C) 12 kmph	D) 11 kmph

Answer & Explanation Answer: C) 12 kmph

Explanation:

The distance is constant in this case.

Let the time taken for travel with a speed of 10 kmph be 't'.

Now the speed of 15 kmph is 3/2 times the speed of 10 kmph.

Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time)

Extra time taken = t - 2t/3 = t/3

=> 1pm - 11am = 2hrs

=> t/3 = 2h

=> t = 6 hrs.

Now, Distance = speed x time = 10 x 6 = 60 kms

Time he takes to reach at noon = 6 - 1 = 5 hrs

Now, Speed = 60/5 = 12 kmph.

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

12 6094

Q:

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

A) 10%	B) 10.08%
C) 20%	D) 28%

Answer & Explanation Answer: D) 28%

Explanation:

Let original length = x and original breadth = y.

Decrease in area = xy -[(80/100x) * (90/100y)]

=[(xy-(18/25)xy)]

=(7/25)xy

Decrease % =[(7/25)xy * (1/xy) * 100] =28%

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Filed Under: Volume and Surface Area

2 6092

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 6092

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