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A three step process removes the impurities step by step from the material as 80%, 90% and 85% respectively. If after performing 3 steps also, 39 units of impurities are present, what was the number of impurities present originally in the material?

Correct

Explanation:
Let x units of impurities present initially
After first stage, 80% impurities removed, so 20% remained
After second stage, 90% impurities removed, so 10% remained. And after third stage, 85% impurities removed, so 15% remained.
So x*(20/100)*(10/100)*(15/100) = 39
Solve, x = 13000

Incorrect

Explanation:
Let x units of impurities present initially
After first stage, 80% impurities removed, so 20% remained
After second stage, 90% impurities removed, so 10% remained. And after third stage, 85% impurities removed, so 15% remained.
So x*(20/100)*(10/100)*(15/100) = 39
Solve, x = 13000

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

The difference between simple interest earned after 5 years at 12% p.a and compound interest earned after 2 years at 8% p.a. is Rs 3252. What is the principal amount?

A and B started a business by investing Rs10,000 and Rs 11,000 respectively. After 4 months they both withdrew Rs 1000. After a further of half year, A invested Rs 1000 more and B invested Rs 2000 more. If a total profit received after a year is Rs 54,450, what is the difference in the shares of A and B?

32 men can complete a work in 18 days and 36 women can complete the same work in 22 days. In how many days 12 men and 11 women can complete the same work?

Correct

Explanation:
32 men in 18 days, so 12 men in (32*18)/12 = 48 days
36 women in 18 days, so 22 women in (36*22)/11 = 72 days
So 12 men and 22 women in 48*72/(48+72)

Incorrect

Explanation:
32 men in 18 days, so 12 men in (32*18)/12 = 48 days
36 women in 18 days, so 22 women in (36*22)/11 = 72 days
So 12 men and 22 women in 48*72/(48+72)

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Find the total surface area of a right circular cylinder whose volume is 1848 cubic cm and surface area is 528 square cm.

Correct

Explanation:
ᴨ r^2 h = 1848, 2ᴨrh = 528
Divide both equations, r = 7
TSA of cylinder = surface area + 2ᴨ r^2 = 528 + 2ᴨ(7^2)

Incorrect

Explanation:
ᴨ r^2 h = 1848, 2ᴨrh = 528
Divide both equations, r = 7
TSA of cylinder = surface area + 2ᴨ r^2 = 528 + 2ᴨ(7^2)