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Question 1 of 15

1. Question

1 points

Category: Quantitative Aptitude

At the start of business A invested some money. After 4 months B joined by investing twice amount as A and after 8 months from start of business C invested thrice amount as A invested. If the total shares of A and C is Rs 30,000, what is the total profit received at the end of year?

Correct

Explanation:
Let A invested x for 12 months, then B for 2*x = 2x for (12-4) = 8 months, and C invested 3*x = 3x for (12-8) = 4 months. So A : B : C =
x*12 : 2x*8 : 3x*4
3 : 4 : 3
So (A+C) gets [(3+3)/(3+4+3)] * y = 30,000
Solve y = Rs 50,000

Incorrect

Explanation:
Let A invested x for 12 months, then B for 2*x = 2x for (12-4) = 8 months, and C invested 3*x = 3x for (12-8) = 4 months. So A : B : C =
x*12 : 2x*8 : 3x*4
3 : 4 : 3
So (A+C) gets [(3+3)/(3+4+3)] * y = 30,000
Solve y = Rs 50,000

Question 2 of 15

2. Question

1 points

Category: Quantitative Aptitude

A mixture contains milk and water in the ratio 7 : 2. 9 litres of this mixture is taken out and 5 litres of water is poured in. If the ratio of milk to water becomes 14 : 5, what is the amount of milk originally present in the mixture?

Correct

Explanation:
Total = 7x+2x+24 = 9x+9
So 7x/(2x+5) = 14/5
Solve, x = 10
So total = 9*10 + 9 = 99 litres
So milk = 7/(7+2) * 99 = 77

Incorrect

Explanation:
Total = 7x+2x+24 = 9x+9
So 7x/(2x+5) = 14/5
Solve, x = 10
So total = 9*10 + 9 = 99 litres
So milk = 7/(7+2) * 99 = 77

Question 3 of 15

3. Question

1 points

Category: Quantitative Aptitude

The ratio of monthly salaries of son to father is 2 : 5, and that of mother to son is 3 : 2. If son’s annual salary is Rs 3,00,000, then what is the monthly salary of mother?

Correct

Explanation:
S : F = 2 : 5, M : S = 3 : 2
Or F/S = 5/2, and S/M = 2/3, So F : S : M = 5*2 : 2*2 : 2*3 = 10 : 4 : 6 = 5 : 2 : 3
Annual salry of son = 3,00,000 so monthly is 3,00,000/12 = 25,000
So 2/(5+2+3) * x = 25,000
Solve, x = 1,25,000
So mother’s monthly salary = 3/(5+2+3) * 1,25,000 = 37,500

Incorrect

Explanation:
S : F = 2 : 5, M : S = 3 : 2
Or F/S = 5/2, and S/M = 2/3, So F : S : M = 5*2 : 2*2 : 2*3 = 10 : 4 : 6 = 5 : 2 : 3
Annual salry of son = 3,00,000 so monthly is 3,00,000/12 = 25,000
So 2/(5+2+3) * x = 25,000
Solve, x = 1,25,000
So mother’s monthly salary = 3/(5+2+3) * 1,25,000 = 37,500

Question 4 of 15

4. Question

1 points

Category: Quantitative Aptitude

Tarun and Varun alone can do a piece of work in 20 and 25 days respectively. In how many days the work will be completed if they both work on alternate days starting with Varun?

Correct

Explanation:
Tarun = 20 days, Varun = 25 days
Total work = LCM(20,25) = 100
So efficiency of Tarun = 100/20 = 5, efficiency of Varun = 100/25 = 4
2 days work of both = 5+4 = 9
2*11(22) days work of both = 9*11 = 99
So remaining work = 100-99 = 1
Now Varun’s turn on 23rd day, he will do remaining work(1) in 1/4 day
So total 22 1/4 days

Incorrect

Explanation:
Tarun = 20 days, Varun = 25 days
Total work = LCM(20,25) = 100
So efficiency of Tarun = 100/20 = 5, efficiency of Varun = 100/25 = 4
2 days work of both = 5+4 = 9
2*11(22) days work of both = 9*11 = 99
So remaining work = 100-99 = 1
Now Varun’s turn on 23rd day, he will do remaining work(1) in 1/4 day
So total 22 1/4 days

Question 5 of 15

5. Question

1 points

Category: Quantitative Aptitude

How many 4 digit numbers can be made from the digits 2, 3, 5, 0, and 9 without repetition?

Correct

Explanation:
0 cannot be on first place for it to be a 4 digit number,
So for 1st digit 4choices, for second also 4 (because 0 can be placed here), then 3 for third place, 2 for fourth place
Total numbers = 4*4*3*2

Incorrect

Explanation:
0 cannot be on first place for it to be a 4 digit number,
So for 1st digit 4choices, for second also 4 (because 0 can be placed here), then 3 for third place, 2 for fourth place
Total numbers = 4*4*3*2

Directions (11–15) Study the given line graph carefully and answer the questions that follow.
The graph given below shows the number of employees in two departments of company ABC from year 2010 to 2015.

In which year is the percentage increase in the number of employees over the previous year the highest for IT department?

Correct

Explanation:
In 2011, % increase is (2600-1800)/1800 * 100 = 44.4%
In 2012, 2013 the number is decreasing
In 2014, % increase is (2050-1950)/1950 * 100 = 5.12%
In 2015, % increase is (2200-2050)/2050 * 100 = 7.3%

Incorrect

Explanation:
In 2011, % increase is (2600-1800)/1800 * 100 = 44.4%
In 2012, 2013 the number is decreasing
In 2014, % increase is (2050-1950)/1950 * 100 = 5.12%
In 2015, % increase is (2200-2050)/2050 * 100 = 7.3%

Question 12 of 15

12. Question

1 points

Category: Quantitative Aptitude

Directions (11–15) Study the given line graph carefully and answer the questions that follow.
The graph given below shows the number of employees in two departments of company ABC from year 2010 to 2015.

Number of employees in HR department is approximately what percentage of the total number of employees in both departments together in the year 2014?

Correct

Explanation:
In 2014, in HR = 1200
In HR + IT = 1200 + 2050 = 3250
So required % = (1200/3250)*100 = 36.9

Incorrect

Explanation:
In 2014, in HR = 1200
In HR + IT = 1200 + 2050 = 3250
So required % = (1200/3250)*100 = 36.9

Question 13 of 15

13. Question

1 points

Category: Quantitative Aptitude

Directions (11–15) Study the given line graph carefully and answer the questions that follow.
The graph given below shows the number of employees in two departments of company ABC from year 2010 to 2015.

What is the average number of employees in IT Department over all years?

Directions (11–15) Study the given line graph carefully and answer the questions that follow.
The graph given below shows the number of employees in two departments of company ABC from year 2010 to 2015.

Number of employees in HR department in 2012 is what percent less than that of IT department in the same year?

Correct

Explanation:
(2400-1900)/2400] * 100 = 20.8%

Incorrect

Explanation:
(2400-1900)/2400] * 100 = 20.8%

Question 15 of 15

15. Question

1 points

Category: Quantitative Aptitude

Directions (11–15) Study the given line graph carefully and answer the questions that follow.
The graph given below shows the number of employees in two departments of company ABC from year 2010 to 2015.

What is the difference between the averages of number of employees in both departments for all the years?

Correct

Explanation:
Average in IT department = 1800+2600+2400+1950+2050+2200 / 6 = 2166
Average in HR department = 1400+2700+1900+2100+1200+1500 / 6 = 1800
Difference = 2166-1800 = 366

Incorrect

Explanation:
Average in IT department = 1800+2600+2400+1950+2050+2200 / 6 = 2166
Average in HR department = 1400+2700+1900+2100+1200+1500 / 6 = 1800
Difference = 2166-1800 = 366