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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeThe 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}*10Incorrect
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 pointsCategory: Quantitative AptitudeA 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 = 11/42Incorrect
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 pointsCategory: Quantitative Aptitude20 men when work for 20 days and 6 hours a day completes threefifth 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 womenIncorrect
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 pointsCategory: Quantitative AptitudeA 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?
Correct
Explanation:
10000*4 + 5000*4 + 2500*4 : 12,000*4 + 6000*4 + 3000*4
100 + 50 + 25 : 120 + 60 + 30
20 + 10 + 5 : 24 + 12 + 6
35 : 42
So (35/77) * x = 10,500
Solve, x = 23,100Incorrect
Explanation:
10000*4 + 5000*4 + 2500*4 : 12,000*4 + 6000*4 + 3000*4
100 + 50 + 25 : 120 + 60 + 30
20 + 10 + 5 : 24 + 12 + 6
35 : 42
So (35/77) * x = 10,500
Solve, x = 23,100 
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeThe sum of money invested at compound interest amounts to Rs 4680 in 2 years and to Rs 5616 in 3 years. What was the amount of sum invested?
Correct
Explanation:
SI on 3380 for 1 yr = 5616 – 4680 = 936
So rate = (100*936/4680*1) = 20
So P (1 + 20/100)^{2} = 4680
Solve, P = 3250Incorrect
Explanation:
SI on 3380 for 1 yr = 5616 – 4680 = 936
So rate = (100*936/4680*1) = 20
So P (1 + 20/100)^{2} = 4680
Solve, P = 3250 
Question 6 of 10
6. Question
1 pointsCategory: Quantitative Aptitude√3969 – √2704 = ? – √2916
Correct
Explanation:
√3969 – √2704 = ? – √2916
63 – 52 = ? – 54Incorrect
Explanation:
√3969 – √2704 = ? – √2916
63 – 52 = ? – 54 
Question 7 of 10
7. Question
1 pointsCategory: Quantitative Aptitude25% of 540 + 54% of 360 = ?
Correct
Explanation:
25% of 540 + 54% of 360 = ?
540/4 + 194.4Incorrect
Explanation:
25% of 540 + 54% of 360 = ?
540/4 + 194.4 
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeDirections (810): What will come in place of question mark (?) to complete the series following a certain pattern?
24, 536, 487, 703, 678, ?
Correct
Explanation:
+8^3, – 7^2, + 6^3, – 5^2, + 4^3Incorrect
Explanation:
+8^3, – 7^2, + 6^3, – 5^2, + 4^3 
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeDirections (810): What will come in place of question mark (?) to complete the series following a certain pattern?
5, 14, 19, 33, 52, ?
Correct
Explanation:
5+14 = 19, 14+19 = 33, 19+33 = 52Incorrect
Explanation:
5+14 = 19, 14+19 = 33, 19+33 = 52 
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeDirections (810): What will come in place of question mark (?) to complete the series following a certain pattern?
6, 10, 28, 54, 160, ?
Correct
Explanation:
6*2 – 2, 10*3 – 2, 28*2 – 2, 54*3 – 2, 160*2 – 2 = 318Incorrect
Explanation:
6*2 – 2, 10*3 – 2, 28*2 – 2, 54*3 – 2, 160*2 – 2 = 318
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