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Question 1 of 15
1. Question
1 pointsCategory: Quantitative AptitudeA mixture of milk and water is in the ratio 4 : 1. After a part of this mixture replaced with water, the new ratio of milk to water becomes 8 : 5.What part of the original mixture had been replaced by water?
Correct
Explanation:
Let total original quantity = x litres, Let y litres replaced.
After y litres of mixture drawn out,
Milk = [4/(4+1)] * x – [4/(4+1)] * y
Water = [1/(4+1)] * x – [1/(4+1)] * y
Now y litres of water poured in. Water becomes (1/5)*x – (1/5)*y +y = (1/5)*x +(4/5)*y
Now [(4/5)*x – (4/5)*y] / [(1/5)*x + (4/5)*y] = 8/5
Take 1/5 common and cancel, so
4(xy)/(x+4y) = 8/5
5x – 5y = 2x + 8y
Solve, y = (3/13)* x
So 3/13 of original mixture removed.Incorrect
Explanation:
Let total original quantity = x litres, Let y litres replaced.
After y litres of mixture drawn out,
Milk = [4/(4+1)] * x – [4/(4+1)] * y
Water = [1/(4+1)] * x – [1/(4+1)] * y
Now y litres of water poured in. Water becomes (1/5)*x – (1/5)*y +y = (1/5)*x +(4/5)*y
Now [(4/5)*x – (4/5)*y] / [(1/5)*x + (4/5)*y] = 8/5
Take 1/5 common and cancel, so
4(xy)/(x+4y) = 8/5
5x – 5y = 2x + 8y
Solve, y = (3/13)* x
So 3/13 of original mixture removed. 
Question 2 of 15
2. Question
1 pointsCategory: Quantitative AptitudeThe ratio of the age of A 4 years hence and B’s present age is 8 : 9. After 12 years A’s age will be 12 less than twice B’s present age. Find the ratio of A’s present age to B’s age 4 years ago.
Correct
Explanation:
(A+4)/B = 8/9 so 9A – 8B = 36
Also (A+12) = 2B – 12, so A – 2B = 24
Solve, both equations, A = 12, B= 18
So required ratio is 12/(184) = 12/14Incorrect
Explanation:
(A+4)/B = 8/9 so 9A – 8B = 36
Also (A+12) = 2B – 12, so A – 2B = 24
Solve, both equations, A = 12, B= 18
So required ratio is 12/(184) = 12/14 
Question 3 of 15
3. Question
1 pointsCategory: Quantitative AptitudeIn how many ways the letters of the word SIMILAR be arranged such that all vowels come together?
Correct
Explanation:
Consonants are vowels are
SMLR IIA
Put IIA in a box because they must always be together.
So arrangement of S, M, L, R, IIA is 5!
Now inside box there are 3 letters IIA, their arrangement is 3!, and since I is repeated two times, their arrangement is 3!/2!
So total 5! * 3!/2! = 120*3Incorrect
Explanation:
Consonants are vowels are
SMLR IIA
Put IIA in a box because they must always be together.
So arrangement of S, M, L, R, IIA is 5!
Now inside box there are 3 letters IIA, their arrangement is 3!, and since I is repeated two times, their arrangement is 3!/2!
So total 5! * 3!/2! = 120*3 
Question 4 of 15
4. Question
1 pointsCategory: Quantitative AptitudeA and B invested in a business. A invested Rs 5000 for some months and B invested Rs 4500 for double the months as invested by A. If out of a total profit, A’s share come out to be Rs 5000, for how many month did B invested his money?
Correct
Explanation:
Ratio of profit share is
5000*x : 4500*2x
5 : 9
So (5/14) * Total profit = 5000
So total profit is Rs 14,000 but from this their periods of investment cant be findIncorrect
Explanation:
Ratio of profit share is
5000*x : 4500*2x
5 : 9
So (5/14) * Total profit = 5000
So total profit is Rs 14,000 but from this their periods of investment cant be find 
Question 5 of 15
5. Question
1 pointsCategory: Quantitative AptitudeA work can be completed in 12 days when 2 men, 3 women and 6 children work together. Also when 4 women and 8 children work together, the same work gets completed in 18 days. In how many days 2 men can complete the same work?
Correct
Explanation:
2m + 3w + 6c = 12
And 4w + 8 c = 18
So 4 (1w + 2c) = 18 or 1w + 2c = 4*18 = 72
So 3 * (1w + 2c) = 72/3 so 3w + 6c can do work in 24 days
From 1st equation, we have 2m + (3w + 6c) = 12
Let 2 men do work in x days. so
(1/x) + (1/24) = 1/12
Solve, x = 24, so 2 men in 24 daysIncorrect
Explanation:
2m + 3w + 6c = 12
And 4w + 8 c = 18
So 4 (1w + 2c) = 18 or 1w + 2c = 4*18 = 72
So 3 * (1w + 2c) = 72/3 so 3w + 6c can do work in 24 days
From 1st equation, we have 2m + (3w + 6c) = 12
Let 2 men do work in x days. so
(1/x) + (1/24) = 1/12
Solve, x = 24, so 2 men in 24 days 
Question 6 of 15
6. Question
1 pointsCategory: Quantitative AptitudeDirections (610): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
In how many days A and B together can complete a work?
I. The time taken by A alone is 5 days more than time taken by A and B together.
II. The time taken by B alone is 10 days more than time taken by A and B together.Correct
Explanation:
Let A+B taken x days, then A taken x+5, and B takes x+10 days
So 1/(x+5) + 1/(x+10) = 1/x
Solve, and value of x can be find out, so from both.Incorrect
Explanation:
Let A+B taken x days, then A taken x+5, and B takes x+10 days
So 1/(x+5) + 1/(x+10) = 1/x
Solve, and value of x can be find out, so from both. 
Question 7 of 15
7. Question
1 pointsCategory: Quantitative AptitudeDirections (610): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
In a class, how many are female students?
I. The number of female students is less than male students by 20.
II. The average age of all students in the class is 12.25Correct
Explanation:
If male students is x, then female = x20
Sum of age of all students = y
Then y = (x+x20)*22.5
2 variables and 1 equation – cant be solved.Incorrect
Explanation:
If male students is x, then female = x20
Sum of age of all students = y
Then y = (x+x20)*22.5
2 variables and 1 equation – cant be solved. 
Question 8 of 15
8. Question
1 pointsCategory: Quantitative AptitudeDirections (610): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
If the article is sold at 20% discount, what is the profit % obtained on selling it?
I. If no discount would have been offered there had been a profit of 30%.
II. The amount of discount offered on article is 10% of cost price of article.Correct
Explanation:
Let MP = 100, discount = 20, SP = 80
From I: profit is 30% when no discount, no discount means SP = MP
so CP = (100/130)*100 = 1000/13 and SP is 80
CP and SP given, find profit%
From II: discount = CP/10
So CP/10 = 20, CP = 200
CP = 200 and SP = 80, find profit%Incorrect
Explanation:
Let MP = 100, discount = 20, SP = 80
From I: profit is 30% when no discount, no discount means SP = MP
so CP = (100/130)*100 = 1000/13 and SP is 80
CP and SP given, find profit%
From II: discount = CP/10
So CP/10 = 20, CP = 200
CP = 200 and SP = 80, find profit% 
Question 9 of 15
9. Question
1 pointsCategory: Quantitative AptitudeDirections (610): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
What is the speed of stream?
I. Total time taken to cover same upstream and downstream distance is 4 hrs.
II. Speed of boat in still water is 10 km/hrCorrect
Explanation:
Speed of boat in still water = 10, speed of stream is y
From I: let distance is d, so
d/(10+y) + [d/(10y)] = 4
One equation, two variablesIncorrect
Explanation:
Speed of boat in still water = 10, speed of stream is y
From I: let distance is d, so
d/(10+y) + [d/(10y)] = 4
One equation, two variables 
Question 10 of 15
10. Question
1 pointsCategory: Quantitative AptitudeDirections (610): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
What is the rate of interest per annum in the scheme?
I. The difference between CI and SI calculated on same rate is Rs 56.25 for a principal amount of Rs 2500.
II. The simple interest accured after 2 years is Rs 200 on a principal amount of Rs 3000.Correct
Explanation:
From I: Time period is not given for which the difference is given.
From II: r can be find out from here.Incorrect
Explanation:
From I: Time period is not given for which the difference is given.
From II: r can be find out from here. 
Question 11 of 15
11. Question
1 pointsCategory: Quantitative AptitudeDirections (1115): In the following questions, what will come in place of (?) in the following series which are made following a pattern?
8, 6, 9, 23, 87, 429, ?
Correct
Explanation:
8*1 – 2, 6*2 – 3, 9*3 – 4, 23*4 – 5, ….Incorrect
Explanation:
8*1 – 2, 6*2 – 3, 9*3 – 4, 23*4 – 5, …. 
Question 12 of 15
12. Question
1 pointsCategory: Quantitative AptitudeDirections (1115): In the following questions, what will come in place of (?) in the following series which are made following a pattern?
4, 12, 15, 45, 48, 144, ?
Correct
Explanation:
× 3, + 3, × 3, + 3, × 3, + 3, ….Incorrect
Explanation:
× 3, + 3, × 3, + 3, × 3, + 3, …. 
Question 13 of 15
13. Question
1 pointsCategory: Quantitative AptitudeDirections (1115): In the following questions, what will come in place of (?) in the following series which are made following a pattern?
12, 30, 56, 90, 132, ?
Correct
Explanation:
3^{2 }+3, 5^{2 }+5, 7^{2 }+7, 9^{2 }+9, 11^{2 }+11,…Incorrect
Explanation:
3^{2 }+3, 5^{2 }+5, 7^{2 }+7, 9^{2 }+9, 11^{2 }+11,… 
Question 14 of 15
14. Question
1 pointsCategory: Quantitative AptitudeDirections (1115): In the following questions, what will come in place of (?) in the following series which are made following a pattern?
5, 10, 30, 150, 1050, 11550, ?
Correct
Explanation:
5*2, 10*3, 30*5, 150*7, 1050*11
Prime number multiplication.Incorrect
Explanation:
5*2, 10*3, 30*5, 150*7, 1050*11
Prime number multiplication. 
Question 15 of 15
15. Question
1 pointsCategory: Quantitative AptitudeDirections (1115): In the following questions, what will come in place of (?) in the following series which are made following a pattern?
4, 4, 10, 34, 94, ?
Correct
Explanation:
4+(1^{3}1), 4+(2^{3}2), 10+(3^{3}3), …….Incorrect
Explanation:
4+(1^{3}1), 4+(2^{3}2), 10+(3^{3}3), …….
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