After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 9 to boost your prep. This will continue for the last 10 days leading to SNAP 2016 and will cover almost all the question types that you need to know come the 18th of December.

# SNAP 2016 sprint preparation series – Quant 9

1. Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

a. 121/3

b. 51/7

c. 40/7

d. 65/7

2. A and B can do a piece of work in 21 and 24 days respectively. They start the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?

a. 5

b. 7

c. 8

d. 6

3. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

a. 33.33%

b. 75%

c. 300%

d. 150%

4. In a 100 M race, if A gives B a start of 20 meters, then A wins the race by 5 seconds. Alternatively, if A gives B a start of 40 meters the race ends in a dead heat. How long does A take to run 200 M?

a. 10 seconds

b. 20 seconds

c. 30 seconds

d. 40 seconds

5. A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after such cutting?

a. 4%

b. 300%

c. 75%

d. 400%

6. A number G236G0 can be divided by 36 if G is:

a. 8

b. 6

c. 1

d. More than one values are possible.

7. Amit can do a work in 12 days and Sagar in 15 days. If they work on it together for 4 days, then the fraction of the work that is left is:

a. 3/20

b. 3/5

c. 2/5

d. 2/20

8. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

a. 91 m

b. 3 m

c. 5.82 m

d. None of these

9. A bag contains 5 white and 3 black balls; another bag contains 4 white and 5 black balls. From any one of these bags a single draw of two balls is made. Find the probability that one of them would be white and other black ball.

a. 275/504

b. 5/18

c. 5/9

d. None of these

10. Three parallel lines are cut by two transversals as shown in the given figure. If AB = 2 cm, BC = 4 cm and DE = 1.5 cm, then the length of EF is:

a. 2 cm

b. 3 cm

c. 3.5 cm

d. 4 cm

**Directions for questions 11 to 15:** The following pie chart shows the hourly distribution (in degrees) of all the major activities of a student.

11. The percentage of time which he spends in school is:

a. 38%

b. 30%

c. 40%

d. 25%

12. How much time (in percent) does he spend in games in comparison to sleeping?

a. 30%

b. 40%

c. 25%

d. None of these

13. If he spends the time in games equal to the home work and remains constant in other activities, then the percentage decrease in time of sleeping:

a. 15%

b. 12.5%

c. 20%

d. None of these

14. What is the difference in time (in hours) spent in school and in home work?

a. 2

b. 3

c. 4

d. 8

15. If he spends 1/3rd time of homework in Mathematics then the number of hours he spends in rest of the subjects in home work:

a. 1

b. 2

c. 3

d. 4

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Solutions:

1. Let the total task be 100 units. So, Ram does 60 units in 15 days. So, Ram does 4 units per day. Rahim does 2 units per day and Rachel does 1 unit per day. So, together they do 7 units per day. As 40 units are remaining they will take another 40/7 days to finish the work. Option c.

2. Let the total work be 168 units. So, A does 8 units per day and B does 7 units per day. B works alone for 9 days and so, does 63 units. So, they together do 105 units and so, should take 7 days to finish those. Option b.

3. Let the selling price of 75 articles be 75x. So, selling price of 100 articles is 100x. Profit is equal to 75x in the second case. So, cost price is equal to 25x in the second case. So, profit percentage will be 75x/25x * 100 = 300%. Option c.

4. A covers 100 m in time t seconds, B covers 80 m in time (t + 5) seconds. A covers 100 m in the same time as B covers 60 m. So, we can compare the speeds of A and B using the two bits of information.

Speed of A = 100/t

Speed of B = 80/(t + 5)

Speed of A : Speed of B = Distance covered by A : Distance covered by B = 100 : 60 or 5 : 3

(100/t)/(80/(t + 5)) = 5/3

On solving, we get t = 15 seconds. So, A will cover 200 m in 2t or 30 seconds. Option c.

5. Initial surface area is 96. Final surface area is 384. So, the increase is by 300%. Option b.

6. 2G should be 16 and so, G can only be 8. Option a.

7. Let the total work be 60 units. Amit does 5 units per day and Sagar does 4 units per day. So, together they would finish 36 units in 4 days and so, 40% of the work is left. Option c.

8. 60x + 40x – x^2 = 2400 – 2109

x^2 – 100x + 291 = 0

So, x = 3 or x = 97. But, x cannot be greater than 60 and so, x = 3. Option b.

9. ½ * (5c1*3c1/8c2 + 4c1*5c1/9c2) = 275/504. Option a.

10. Option b using equal intercept theorem.

11. 105/360 = 7/24 = approximately 30%. Option b.

12. 30/120 = 25%. Option c.

13. 30 degrees -> 45 degrees. So, 15 degrees need to be removed from sleeping. So, sleeping decreased by 15 degrees on 120 degrees or by 12.5%. Option b.

14. 60 degrees or 1/6th of the day. So, 4 hours. Option c.

15. 2/3 * 45 spent on other subjects. So, 30 degrees on 360 degrees or 1/12th of 24 hours or 2 hours. Option b.

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You can follow the entire sprint series here: SNAP 2016 Sprint Preparation Series by Learningroots

Also, you can check out all the articles under the series by going to this page: SNAP 2016 Sprint Preparation Series Timetable