After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 6 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 6
1. Find out the appropriate next number in the series from the options below: 0, 2, 6, 12, 20, 30, 42, ?
2. A bakery opened with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 60% of the remaining rolls were sold between noon and closing time. How many dozen rolls were left unsold?
3. Stuart, Jack and Leo are colleagues working in a plant. Stuart and Jack can do a work in 10 days, Jack and Leo can do the same work in 15 days while Stuart and Leo can do it in 12 days. All of them started the work together After two days, Leo was shifted to some other work.How many days will Stuart and Jack take to finish the rest of the work?
4. The missing numbers in the below series would be 1:1, 8:4, 9:27, 64:16, 25:125, ? :?, 49:343,
a. 36 : 316
b. 216 : 36
c. 316 : l6
d. 32 : 316
5. The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
6. Running at the same constant rate, 6 identical machines can produce a total of 180 bottles per hour. How many bottles could 15 such machines produce in 30 minutes?
7. A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is :
8. Which one of the following numbers will completely divide (4^61 + 4^62 + 4^63 + 4^64)?
Directions for questions 9 – 10: Each of the following questions is followed by two statements. Mark
(1) if statement I alone is sufficient to answer the question.
(2) if statement II alone is sufficient to answer the question.
(3) if both statement I and II together are necessary to answer the question.
(4) if both statements I and II together are not sufficient to answer the question.
9. Is ‘b’ positive?
1. a + b is positive
2. a – b is positive.
10. In a general body election, 3 candidates, p, q and r were contesting for a membership of the board. How many votes did each receive?
1. p received 17 votes more than q and 103 votes more than r.
2. Total votes cast were 1703
11. In a Retail outlet the average revenue was Rs. 10,000 per day over a 30 day period.During this period the average daily revenue on weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
12. Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
a. X – Y = 23
b. X + Y = 87
c. Both 1 and 2
d. None of the above
13. It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B used alone takes 8 hours to fill the same tank. A, B and another pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
14. A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
a. 11:20 a.m.
b. 11:05 a.m.
c. 11:10 a.m.
d. 10:50 a.m.
15. The sum of prime numbers that are greater than 60, but less than 70 is:
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1. The difference increases in successive terms by 2 places and so, the difference has to be 14. So, option a is correct.
2. Option b.
3. Let total work be 60 units. S + J = 6 units per day, J + L = 4 units per day and S + L = 5 units per day. So, we get the individual units to be L = 2.5, J = 1.5 and S = 4.5. So, As 15 units have been done, we have 45 units to be completed at the rate of 6 units per day. So, 7.5 days more required. Option d.
4. Option b.
5. 1.25x – 0.7x = 22. So, x = 40. Option c.
6. Option a.
7. x/5 + 4 = x/4 – 10, x = 120. Option d.
8. Option b. The units place digit is 0 and so, the number will be divisible by 10.
9. Using statement 1, we cannot say about the status of b. Using statement b, we can say that a is greater than b. But, b can be either positive or negative. Even combining both the statements, nothing can be concluded. So, option d.
10. Option c.
11. 140000 over 22 days. So, average will be 6363.6 and so, option a.
12. As both the primes will be odd, the sum and the difference will be even. So, option d.
13. Let total work be 24 units. A does 4 units per hour, B does 3 units per hour. A, B and C do 12 units per hour and so, C will do 5 units per hour. So, C will take 24/5 = 4.8 hours to finish the work.
14. Let total units be 18. A does 6 units per hour and B does 3 units per hour. In 1 hour, 6 units is done. Remaining 12 units at the rate of 9 units/hour and so, the job will be completed at 11:20 am. Option a.
15. 61 + 67 = 128. Option a.
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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