After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 3 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 3

**Common instructions for question 1 to 4: The Y-axis in in terms of failures per 1000 components**

1. From the failure data of electronics components presented here, which statement is true?

a. Integrated circuits and Printed circuit boards are more reliable

b. Capacitors are more reliable than picture tubes

c. Higher number of component failures is likely to be due to picture tubes

d. The least reliable component is Hybrid Micro circuits

2. Which of the following components has a failure rate 25% more than that of signal devices?

a. Picture tubes

b. Capacitors

c. Integrated circuits

d. Printed Circuits boards

3. Lowest priority for investing in any changes or additions to the component manufacturing units, in the company’s investment plans, may be given to the following:

a. Printed circuits boards and hybrid micro circuits

b. Capacitors and integrated circuits

c. Pictures tubes and signal devices

d. Signal devices and capacitors

4. For the equipments using Integrated Circuit Board: 400, Capacitors: 240 and Printed Circuits boards: 120 to run with minimum downtime, how many spares should be kept in the store respectively?

a. 12, 4, 3

b. 12, 5, 4

c. 5, 12, 4

d. 12, 4, 4

5. The water from a roof, 9 sq. metres in area, flows down to a cylindrical container of 900 cm2 base. To what height will the water rise in cylinder if there is a rainfall of 0.1 mm?

a. 0.1 cm

b. 0.1 metre

c. 0.11 cm

d. 1 cm

6. A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four is

a. 2/5

b. 1/5

c. 1/6

d. None of these

7. A boat covers a distance of 30 kms downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in kms per hour?

a. 5

b. 7.5

c. 10

d. 18

8. A five digit number is formed by using the digits 1, 2, 3, 4 and 5 without repetitions. What is the probability that the number is divisible by 4?

a. 1/5

b. 5/6

c. 4/5

d. None of these

9. If the algebraic sum of deviations of 20 observations measured from 23 is 70, mean of these observations would be

a. 24

b. 25

c. 26

d. None of these

10. An alloy of gold and silver weighs 50 gms. It contains 80% gold. How much gold should be added to the alloy so that percentage of gold is increased to 90?

a. 50 gms

b. 60 gms

c. 30 gms

d. 40 gms

11. Weekly incomes of two persons are in the ratio of 7:3 and their weekly expenses are in the ratio of 5:2. If each of them saves Rs.300 per week, then the weekly income of the first person is

a. Rs. 7500

b. Rs. 4500

c. Rs. 6300

d. Rs. 5400

12. Wheat is now being sold at Rs. 27 per kg. During last month its cost was Rs. 24 per kg. Find by how much per cent a family reduces its consumption so as to keep the expenditure fixed.

a. 10.2%

b. 12.1%

c. 12.3%

d. 11.1%

13. There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is

a. 92

b. 90

c. 91

d. None of these

14. The radius of circle is so increased that its circumference increased by 5%. The area of the circle then increases by

a. 5%

b. 10.25%

c. 10.5%

d. 11.25%

15. In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

a. 6!/2!

b. 3!*3!

c. (3!*3!)/2!

d. (4!*3!)/2!

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Solutions:

1. It is obvious that the table talks about the failure rates of components and so, hybrid micro circuits are the worst. Option d.

2. Signal devices have a failure rate of 16 and so, 25% higher than that would be 20 which is the failure rate of capacitors. Option b.

3. Option c. As they do not give as many errors as the rest of the components, pictures tubes and signal devices would need minimal or no attention compared to the rest.

4. 30 out of 1000 ICs are faulty and so, 12 out of 400 would be faulty. 20 out of 1000 capacitors are faulty and so, 4.8 components will be faulty and hence, we would need 5 additional capacitors. Only option b satisfies this and so, we need not check for the third component.

5. 9 square meters would correspond to 9*100*100 = 90000 sq.cm. If there is 0.1 mm of rain, we get the total volume to be 90000*0.1*10^(-1) = 900 cu.cm. As we already have a 900 sq.cm base, the height would need to be 1 cm for the required volume. Option d.

6. 15 can be scored in 10 ways (either 5,5,5 or 3,6,6 or 4,5,6). Out of these, 2 cases will begin with a 4 and so, the probability is 1/5. Option b.

7. Option c.

8. The number will be divisible by 4 if the last two digits are either 12, 32, 52, or 24. Total numbers will be 120 and the numbers divisible by 4 will be 24. So, the probability will be 1/5. Option a.

9. Let 19 of the observations be 23 and let the 20th observation be 93. Sum of the observations will be 530 and so, the average will be 26.5. So, option d.

10. 40 g of gold is present. Let the amount of gold added be x. So, (40+x)/(50+x)=9/10. x = 50 g.

11. Let the incomes be 7x and 3x and the expenses be 5y and 2y. So, 7x – 5y = 300 and 3x – 2y = 300. On solving these, we get x = 900 and so, the income of the first person will be Rs. 6300.

12. Let the family take x kg last month. So, they spent Rs. 24x. This month, let the family consume y kg. So, the cost incurred will be Rs. 27y.

As 24x = 27y, we get 8x = 9y. So, (x – y)/x = 100/9%. So, option d is correct.

13. 10c2*2 = 90 tickets in total. Option b.

14. C2 = 1.05*C1. So, r2 = 1.05r1. So, r2^2 = 1.1025 r1^2. Increase by 10.25%. Option b.

15. 3 vowels together. So, 4!*3!/2!. 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