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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeA 80 litres solution of milk and water contains 80% milk. 10 litres of this mixture is replaced by 10 litres of milk. What is the percentage of water in the final mixture?
Correct
Explanation:
When 10 litres taken out, solution left = 8010 = 70
So milk left in solution = 80/100 *70 = 56
And water left = (20/100)*70 = 14
now 10 litres of milk poured in, so there is no change in quantity of water, and total mixture again becomes 80l
so water now is 14/80 * 100 = 17.5%Incorrect
Explanation:
When 10 litres taken out, solution left = 8010 = 70
So milk left in solution = 80/100 *70 = 56
And water left = (20/100)*70 = 14
now 10 litres of milk poured in, so there is no change in quantity of water, and total mixture again becomes 80l
so water now is 14/80 * 100 = 17.5% 
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeA sum of money is lent for 2 years at 20% p.a. compound interest. It yields Rs 43.38 more when compounded semiannually than compounded annually. What is the approximate sum lent?
Correct
Explanation:
P[1 + (r/2)/100]^{4} – P[1 + r/100]^{2} = 43.38
P[1 + (20/2)/100]^{4} – P[1 + 20/100]^{2} = 43.38
Solve, P = 1,800Incorrect
Explanation:
P[1 + (r/2)/100]^{4} – P[1 + r/100]^{2} = 43.38
P[1 + (20/2)/100]^{4} – P[1 + 20/100]^{2} = 43.38
Solve, P = 1,800 
Question 3 of 10
3. Question
1 pointsCategory: Quantitative Aptitude80% of 120 added to 60% of a number is number itself. Find the number.
Correct
Explanation:
(60/100)*x + (80/100)*120 = x
So 96 = (40/100)*x
Solve, x = 240Incorrect
Explanation:
(60/100)*x + (80/100)*120 = x
So 96 = (40/100)*x
Solve, x = 240 
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeFour years ago, ratio of ages of Arun and Tarun was 9 : 11. 6 years hence the ratio will be 7 : 8 respectively. Find the sum of the present ages of the two.
Correct
Explanation:
9x and 11x
4+6 = 10 yrs
So (9x+10)/(11x+10) = 7/8
Solve, x = 2
Their ages 4 yrs ago – 18 and 22, so after 4 yrs (Or present age) = 22 and 26
So sum = 22+26Incorrect
Explanation:
9x and 11x
4+6 = 10 yrs
So (9x+10)/(11x+10) = 7/8
Solve, x = 2
Their ages 4 yrs ago – 18 and 22, so after 4 yrs (Or present age) = 22 and 26
So sum = 22+26 
Question 5 of 10
5. Question
1 pointsCategory: Quantitative Aptitude50 people start a work working 8 hours each day. After 10 days it was found that only 2/5th of the work was done. How many additional people need to be employed in order to complete the remaining work in 5 days working same number of hours each day?
Correct
Explanation:
Let x people need to be employed to complete remaining work (1 – 2/5) = 3/5
M1*D1*H1*W2 = M2*D2*H2*W1
50*10*8*(3/5) = (50+x)*5*8*(2/5)
Solve x = 100Incorrect
Explanation:
Let x people need to be employed to complete remaining work (1 – 2/5) = 3/5
M1*D1*H1*W2 = M2*D2*H2*W1
50*10*8*(3/5) = (50+x)*5*8*(2/5)
Solve x = 100 
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeThere is a loss of 40% on an article when it is sold at 3/4th the previous selling price. What is the actual profit/loss% on it?
Correct
Explanation:
Shortcut:
[(4/3)*(10040)] – 100 = 80 – 100Incorrect
Explanation:
Shortcut:
[(4/3)*(10040)] – 100 = 80 – 100 
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeThere are three pipes A, B and C such that A and B can fill the tank in 20 min. and 30 min. respectively and C can empty it in 24 min. all are opened and after 6 minutes pipe C is closed. In how many minutes the tank will get full?
Correct
Explanation:
Let the tank full in x minutes, then A and B opened for x minutes and C for 6 minutes.
(1/20 + 1/30)*x – (1/24)*6 = 1
(1/12)*x = 5/4
Solve, x = 15Incorrect
Explanation:
Let the tank full in x minutes, then A and B opened for x minutes and C for 6 minutes.
(1/20 + 1/30)*x – (1/24)*6 = 1
(1/12)*x = 5/4
Solve, x = 15 
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeRs 2210 is lent in two parts, one part at 7% for 4 years and remaining part at 8% for 5 years. After the respective times, the interest received from both parts is same. Find the amount lend at 8%.
Correct
Explanation:
Shortcut: When interests are equal
Parts will be divided in ratio –
1/r1t1 : 1/r2t2
1/7*4 : 1/8*5
1/7 : 1/10 = 10 : 7
At 8% = 7/(10+7) * 2210Incorrect
Explanation:
Shortcut: When interests are equal
Parts will be divided in ratio –
1/r1t1 : 1/r2t2
1/7*4 : 1/8*5
1/7 : 1/10 = 10 : 7
At 8% = 7/(10+7) * 2210 
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeThere are 4 men and 6 women. In how many ways a group of 5 people can be made containing at least 3 women?
Correct
Explanation:
Case 1: 3 women
6C3 * 4C2 = 120
Case 2: 4 women
6C4 * 4C1 = 60
Case 3: 5 women
6C5 * 4C0 = 6
Add all casesIncorrect
Explanation:
Case 1: 3 women
6C3 * 4C2 = 120
Case 2: 4 women
6C4 * 4C1 = 60
Case 3: 5 women
6C5 * 4C0 = 6
Add all cases 
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeA man can row 8 km/hr in still water. When the river is running at 4 km/hr, it takes him 4 hrs to row to a place and come back. How far is the place?
Correct
Explanation:
B is speed of boat in still water, R is speed of stream
Time is total time taken for upstream and downstream
Distance = time * [B^2 – R^2] / 2*B
= 4 * [8^2 – 4^2] / 2*8Incorrect
Explanation:
B is speed of boat in still water, R is speed of stream
Time is total time taken for upstream and downstream
Distance = time * [B^2 – R^2] / 2*B
= 4 * [8^2 – 4^2] / 2*8
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