After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 5 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 5

1. A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is:

a. 122

b. 210

c. 216

d. 217

2. A contract is to be completed in 50 days and 105 men were set to work, each working 8 hours a day. After 25 days, 2/5th of the work is finished. How many additional men be employed so that the work may be completed on time, each man now working 9 hours a day?

a. 34

b. 36

c. 35

d. 37

3. A can built up a structure in 8 days and B can break it in 3 days.A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the structure?

a. 10 days

b. 9 days

c. 12 days

d. None of these

4. The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48.If the terms of the geometric progression are alternately positive and negative, then the first term is

a. -2

b. -4

c. -12

d. 8

5. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

a. a = 0, b = 7

b. a = 5, b = 2

c. a = 3, b = 4

d. a = 2, b = 4

6. An agent sells goods of value of Rs. 15,000. The commission which he receives at the ratio of 12.5 % is

a. Rs. 1875

b. Rs. 2125

c. Rs. 2000

d. Rs. 2700

7. √110.25 × √0.01 ÷ √0.00025 − √420.25 is equal to

a. 75

b. 50

c. 64

d. 46

**Directions for Questions 8 -10:The table below shows the number of people who responded to a survey about their favorite style of music. Use this information to answer the following questions to the nearest whole percentage.**

Age |
15 – 20 |
21 – 30 |
31+ |

Classical | 6 | 4 | 17 |

Pop | 7 | 5 | 5 |

Rock | 6 | 12 | 14 |

Jazz | 1 | 4 | 11 |

Blues | 2 | 3 | 15 |

Hip – Hop | 9 | 3 | 4 |

Ambient | 2 | 2 | 2 |

33 | 33 | 68 |

8. What percentage of respondents under 31 indicated that Blues is their favorite style of music?

a. 7.1

b. 7.6

c. 8.3

d. 14.1

9. What percentage of respondents aged 21-30 indicated a favorite style other than Rock music?

a. 64%

b. 60%

c. 75%

d. 36%

10. What percentage of the total sample indicated that Jazz is their favorite style of music?

a. 6%

b. 8%

c. 22%

d. 12%

**Directions for 11 to 15: The pie charts below show the percentage of students in each faculty at North West University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in Arts faculty. Use this information to answer the following questions.**

11. What percentage of students in the Arts faculty are non-US students?

a. 14%

b. 9%

c. 30%

d. 11%

12. How many students are there in the Engineering faculty?

a. 420

b. 410

c. 390

d. 440

13. How many students are there at the University?

a. 4650

b. 4560

c. 4640

d. 4450

14. If six percent of Science students are Asian. How many Asian students are studying Science?

a. 48

b. 66

c. 120

d. 57

15. There are 34 European medical students. What percentage of the faculty does this represent?

a. 14%

b. 18%

c. 16%

d. 15%

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Solutions:

1. Sum of all 5 digits is 15. If we remove 0, 1, 2, 3, 4 or 5, the corresponding sums will be 15, 14, 13, 12, 11, and 10. So, 15 and 12 will work. 5! + 4*4! = 216. Option c.

2. Let 1 man do 1 unit of work per hour. Work done in 25 days will be 25*8*105 = 25*840. This is nothing but 2/5th of the total work. So, the remaining work will be 3/2*25*840. We have 25 days to do this and one person has to work for 9 hours a day. So, 3/2*25*840/25*1/9 = 140 and so, we need 35 more men. Option c.

Observe that I haven’t simplified the expression at all. That is simply because the answer options are integers and so, I can be sure of some cancellation. Remember that the more you calculate, the more are the chances of making silly errors.

3. Let total units be 24. A does 3 units per day and B negates 8 units per day. In the first 4 days, A will build 12 units, in the next 2 days, A will build 6 units and B will destroy 16 units. So, effectively, 2 units are built an so, the remaining 22 units will be built by A in 22/3 days. Option d.

4. a + ar = 12

ar^2 + ar^3 = 48

a(1 + r) = 12

ar^2(1 + r) = 48

r = +/- 2

If r = 2, the series will be 4, 8, 16 …

If r = -2, the series will be -12, 24, -48 …

So, option c.

5. The numbers should add up to 7 and so, option d is out.

(a – 6)^2 + (b – 6)^2 + 4 + 1 + 16 = 6.8 * 5

(a – 6)^2 + (b – 6)^2 = 13

a = 3, b = 4 satisfies. Option c.

6. 12.5% commission will be Rs. 1875. Option a.

7. 10.5 * 0.1/{(0.005)*√10} – 20.5 is approximately equal to 46. Option d.

8. 500/66 gives us 250/33 or 7.5x. So, option b.

9. 21/33 = 7/11 = 63.63%. Option a.

10. 16/134 = 8/67 will be slightly greater than 10% and so, option d.

11. 112/1049 is approximately 11%. Option d.

12. 23% corresponds to 1049 and so, 9% corresponds to approximately 410. Option b.

13. 23% corresponds to 1049 and so, 100% will be 104900/23 = 4560 approximately. Option b.

14. 1.26% of all students are Asian. So, 4560*1.25/100 will be 45.6+11.4=approximately 57. So, option d.

15. 5% of total students will be 228. So, 34/228 = approximately 15%. Option d.

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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