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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Wheat is bought at the rate of Rs 7 per kg. Out of the total quantity of 90 kg, 72 kg of rice is sold at 15% profit. At what rate per kg the remaining need rice need to be sold so that there is a profit of 10% on the total price?

Correct

Explanation:
Let remaining (90-72) = 18 kg at x%. So by allegation method,
(72 kg)…………………(18 kg)
15% …………………….x%
…………….10%
(10-x)…………..………5
So (10-x)/5 = 72/18
Solve, x = -10% [- implies loss on 18 kg wheat]
18 kg costs = 18*7 = Rs 126
So at 10% loss SP of 18 kg is (90/100) * 126 = Rs 113.4
So SP of 1 kg = 113.4/18 = 6.3

Incorrect

Explanation:
Let remaining (90-72) = 18 kg at x%. So by allegation method,
(72 kg)…………………(18 kg)
15% …………………….x%
…………….10%
(10-x)…………..………5
So (10-x)/5 = 72/18
Solve, x = -10% [- implies loss on 18 kg wheat]
18 kg costs = 18*7 = Rs 126
So at 10% loss SP of 18 kg is (90/100) * 126 = Rs 113.4
So SP of 1 kg = 113.4/18 = 6.3

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

The HCF of two numbers is 19 and other two factors of their LCM are 11 and 15 respectively. The smaller of the two numbers is

Correct

Explanation:
19 is HCF so 19 is certainly a multiple of both numbers. And other two factors are 11 and 15. 11 being smallest
So smaller no is 19*11

Incorrect

Explanation:
19 is HCF so 19 is certainly a multiple of both numbers. And other two factors are 11 and 15. 11 being smallest
So smaller no is 19*11

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

A and B invested Rs 5000 and Rs 7000 respectively in a business. After 4 months, A added Rs 2000 and B added Rs 1000. Out of a total profit of Rs 37,800 after a year, what is the share of A in the profit?

Correct

Explanation:
A : B
5000*4 + 7000*8 : 7000*4 + 8000*8
19 : 23
So A gets = [19/(19+23)] * 37,800 = 17100

Incorrect

Explanation:
A : B
5000*4 + 7000*8 : 7000*4 + 8000*8
19 : 23
So A gets = [19/(19+23)] * 37,800 = 17100

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Rs 500 is invested in Scheme A which offers 12% rate of interest and some amount invested in scheme B offers 10% rate of interest. If after 4 years, a total sum of Rs 480 is obtained as simple interest, what is the sum invested in scheme B?

Correct

Explanation:
500*12*4/100 + x*10*4/100 = 480
Solve, x = 600

Incorrect

Explanation:
500*12*4/100 + x*10*4/100 = 480
Solve, x = 600

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

The volume of two cubes is in the ratio 27 : 64. Find the ratio of their total surface area.

An alloy of copper and brass contains them in the ratio 5 : 2. If 2 kg of brass is mixed in 21 g of alloy, then their respective ratios will be?

Correct

Explanation:
In 21 g, copper is 5/7 * 21 = 15g, so brass is 21-15 = 6 g
2 g brass added, so new ratio 15/8

Incorrect

Explanation:
In 21 g, copper is 5/7 * 21 = 15g, so brass is 21-15 = 6 g
2 g brass added, so new ratio 15/8

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

5 men can complete a work in 8 days working 7 hours each day. If 2 more men join them, then to complete the work in 4 days, they need to work for

Correct

Explanation:
5*8*7 = 7*4*H2

Incorrect

Explanation:
5*8*7 = 7*4*H2

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

A and B can complete a work in 15 days and 10 days respectively. Both started the work. After 2 days B left and A completed the remaining work. How many days are taken to complete the work?

Correct

Explanation:
(1/10)*2 + (1/15)*x = 1
Solve, x = 12

Incorrect

Explanation:
(1/10)*2 + (1/15)*x = 1
Solve, x = 12

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

What is the percentage error in calculation, if instead of multiplying a number by 3/5, it is multiplied by 5/3?

A cylindrical pipe made of iron is 10 cm long. The external and internal diameters are 8 cm and 6 cm respectively. What is the volume of iron used in making the pipe?