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After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 1 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 1

Directions for questions 1 – 4:
Answer the following questions based on the information given below.
A survey of movie goers from five cities A, B, C, D and E is summarized below. The first column gives the percentage of viewers in each city who watch less than one movie a week. The second column gives the total number of viewers who view one or more movies per week.

 City 1 2 A 60 2400 B 20 3000 C 85 2400 D 55 2700 E 75 8000

1. How many viewers in the city C watch less than one movie a week?
a. 2040
b. 13600
c. 16000
d. 3600

2.. Which city has the highest number of viewers who watch less than one movie a week?
a. City E
b. City D
c. City B
d. City C

3. A city with second lowest number of movie watchers is
a. City E
b. City D
c. City B
d. City C

4. The total number of all movie goers in the five cities who watch less than one movie per week is
a. 50000
b. 36000
c. 18500
d. 45250

5. Answer the question based on the following table.

 Relative  Sweetness  of Different Lactose 0.16 Glucose 0.74 Saccharin 675. 00 Maltose 0.32 Sucrose 1

What is the ratio of glucose to lactose in a mixture as sweet as maltose?
a. 8 : 21
b. 1 : 3
c. 3 : 2
d. 16 : 9

6. A colourless cube is painted blue and then cut parallel to sides to form two rectangular solids of equal volume. What percentage of surface area of each of new solids is not painted blue?
a. 25
b. 16
c. 20
d. 18

7. There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is
a. 10!
b. 90
c. 81
d. 10

8. A and B throw one dice for a stake of Rs.11, which is to be won by the player who first throws a six. The game ends when stake is won by A or B. If A has the first throw, what are their respective expectations?
a. 5 and 6
b. 6 and 5
c. 11 and 0
d. 10 and 1

9. Which investment gives a better return, assuming the face value of shares to be Rs. 10?
A. 5% stock at 75, subject to 30% income tax
B. 4% stock at 90, tax free
a. B
b. A
c. Both A and B
d. None of these

10. Four stacks containing equal number of chips are to be made from 11 orange, 9 white, 13 black and 7 yellow chips. If all of these chips are used and each stack contains at least one chip of each colour, what is the maximum number of white chips in any one stack?
a. 3
b. 4
c. 5
d. 6

11. A factory is to commission two production lines. Production line 1 is to use existing technology. Production line  2  is  to use  the latest  innovation  in  technology  and, while promising to achieve considerable advances in productivity, it  will take longer to start and is likely to experience teething problems. Graph indicates the productive record of each product line. Refer to the graph to answer the following

A.Can the duration of reported breakdown be established?
B.Can the loss of production be quantified?

a. Both questions A and B can be answered
b. Only A question can be answered
c. Only B question can be answered
d. Neither question can be answered.

12. From a book,a number of consecutive pages are missing. The sum of the page numbers of these pages is 9808. Which pages are missing?

a. The page 9808 is missing
b. The pages 291 up to 322 are
c. The pages 291 up to and including 322 are missing.
d. Either a or c

13. In the following series find the one number that is wrong 2, 3, 13, 37, 86, 167, 288
a. 3
b. 13
c. 37
d. 86

14. Two sea  trawlers  left  a sea  port  simultaneously  in  two mutually   perpendicular directions. Half an hour later, the shortest distance between them  was 17 km and another 15 minutes later, one sea trawler was 10.5 km farther from the original than the other. Find the speed of each sea trawler.

a. 16 km/hr, 30 km/hr
b. 18 km/hr, 24 km/hr
c. 20 km/hr, 22 km/hr
d. 18 km/hr, 36 km/hr

15. The image below indicates the number of residents at 5 hotels on 1 Feb and 1 July 1998.Which hotel had the greatest increase in the total number of adult residents on 1 July 1998 compared with 1 Feb of that year?

1-July-1998

 Hotel Female Adults Male Adults Female Children V 41 73 16 W 18 37 7 X 47 92 12 Y 37 59 19 Z 81 112 26

1-February-1998

 Hotel Female Adults Male Adults Female Children Male Children V 32 64 8 11 W 11 28 3 2 X 47 84 14 7 Y 22 42 5 6 Z 63 104 18 23

a.V
b.W
c.Y
d.Z

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Solutions:

1. 15% corresponds to 2400. So, 85% will correspond to 13600.

2. The numbers for A, B, C, D and E are: 3600, 750, 13600, 3300, and 24000 respectively. So, option a is correct.

3. City D has 2700 movie watchers which is the second lowest number of movie watchers. Option b is correct.

4. Total of the figures in answer 2 is 45250. Option d.

5. Using simple alligation we get the ratio to be (32 – 16) : (74 – 32) = 16:42 or 8:21. Option a.

6. Let the side of the cube be 2x. So, surface area of the rectangular parts will be (4x^2 + 2x^2 + 2x^2)*2*2 = 32x^2 in total. Out of this, 4x^2 * 2 will not be coloured and so, will amount to 25%. Option a.

7. 10c2 * 2 should give us 90 different tickets. Option b.

8. P(A winning) = 1/6 + 5/6*5/6*1/6 + 5/6*5/6*5/6*5/6*1/6 … = (1/6)/(1 – 25/36) = 6/11

P(B winning)  = 1 – 6/11 = 5/11.

So, expectations of A and B will be 6 and 5 respectively. Option b.

9. Cost of stock will be 75 for A and 90 for B. Now, the percentage return is always on face value and so, we have a return of 5% on 10 i.e. 0.5 for A and 4% on 10 i.e. 0.4 for B. Tax is charged on return and so, the remaining amount will be 70% of the gross return i.e. 0.35 for A and 0.4 for B respectively. So, 35% on 75 will be 46.67% return on A and 40% on 90 will be 44.44% return on B. So, A is the better investment. Option b.

10. There are a total of 40 chips and so, there will be 10 chips in each stack. So, we can have 1 white chip in 3 stacks and the remaining 6 white chips in one stack at maximum. Option d.

11. We do not really know when the breakdown happened or if it happened over the course of an entire month or for a specific period. We can calculate the loss in production though by simply adding up the values for both the lines. So Option b is correct.

12. We can simply use the options here. Option a is obviously not right as the question mentions ‘pages’. Checking for option c, we get the sum to be (291 + 322)*32/2 = 9808. So, option c is correct. I hope you didn’t go for the summation of first n natural numbers and the summation of first x natural numbers.

13. If we look at the differences, we get: 1, 10, 24, 49, 81, and 121. It is probably obvious that the differences should be squares of odd numbers and so, 13 is the odd man out. It should have been 12. Option b.

14. Let them travel at speeds of 4x and 4y km/hr. So, we get 4x^2 + 4y^2 = 289. Also, we get 3x – 3y = 10.5. So, x – y = 3.5 or, 4x – 4y = 14 km/hr. There is only 1 option that satisfies this. Option a.

Solving it is of course a way to do it but it will definitely take longer.

15. V increased from 96 to 114, W increased from 39 to 55, Y increased from 64 to 96 and Z increased from 167 to 193. So, we have to compare 18/96, 16/39, 32/64 and 26/167. It’s easy to spot that 32/64 wins. Option c.

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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