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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

The total surface area of a cylinder is 748 cm^{2}. Find the volume of this cylinder if the height of cylinder and radius of its base are in the ratio 10 : 7.

Correct

Explanation:
Height = 10x, radius = 7x
Total surface area = 2*(22/7)*(7x)*(7x+10x) = 748
Solve, x = 1
So Height = 10 cm, radius = 7 cm
Volume = (22/7)*(7)^{2}*10

Incorrect

Explanation:
Height = 10x, radius = 7x
Total surface area = 2*(22/7)*(7x)*(7x+10x) = 748
Solve, x = 1
So Height = 10 cm, radius = 7 cm
Volume = (22/7)*(7)^{2}*10

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

A committee of 4 members is to be made from 5 men and 5 women. What is the probability that the committee will contain more men than women?

Correct

Explanation:
Case 1: all 4 men, 0 woman
Prob. = ^{5}C_{4}/ ^{10}C_{4} = 1/42
Case 2: 3 men, 1 woman
Prob. = ^{5}C_{3} * ^{5}C_{1} / ^{10}C_{4} = 5/21
Add both cases = 1/42 + 5/21 = 11/42

Incorrect

Explanation:
Case 1: all 4 men, 0 woman
Prob. = ^{5}C_{4}/ ^{10}C_{4} = 1/42
Case 2: 3 men, 1 woman
Prob. = ^{5}C_{3} * ^{5}C_{1} / ^{10}C_{4} = 5/21
Add both cases = 1/42 + 5/21 = 11/42

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

20 men when work for 20 days and 6 hours a day completes three-fifth of a work. For the remaining work they are replaced by some number of women who completes remaining the work in 10 days working 8 hours each day. Find the number of women required to complete remaining work if efficiency of a man is twice that of woman.

Correct

Explanation:
1 m = 2w
Let x men have to complete remaining (2/5th) work in 10 days working 8 hrs each day. so
M1*D1*H1*W2 = M2*D2*H2*W1
20*10*6*(2/5) = x*10*8*(3/5)
Solve, x = 10 men
Since, 1 m = 2w, so 10 men = 20 women

Incorrect

Explanation:
1 m = 2w
Let x men have to complete remaining (2/5th) work in 10 days working 8 hrs each day. so
M1*D1*H1*W2 = M2*D2*H2*W1
20*10*6*(2/5) = x*10*8*(3/5)
Solve, x = 10 men
Since, 1 m = 2w, so 10 men = 20 women

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

A and B started a business by investing Rs 10,000 and Rs 12,000 respectively. After 4 months they withdrew their half money and after another 4 years they again withdrew their half of money of previous investment. If at the end of year A got Rs 10,500 as share of his profit, then what is the total profit made at the end of year?