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After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 8 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 8

1. 66 cubic centimetres of silver is drawn into a wire of 1 mm diameter. The length of the wire in metres will be:

a. 84
b. 90
c. 168
d. 336

2. A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is

a. 48 km/hr
b. 54 km/hr
c. 66 km/hr
d. 82 km/hr

3. R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q?

a. 3R
b. 4R
c. 7R
d. 9R

4. If the length, breadth and height of the room are in ratio 3:2:1. The breadth and height of the room are halved and length of the room is doubled. Then area of the four walls of the room will

a. decrease by 13.64%
b. decrease by 15%
c. decrease by 75%
d. decrease by 30%

5. A survey was conducted of 100 people whether they have read recent issues of ‘Golmal’, a monthly magazine. Summarized information is presented below:

Only September: 18
September but not August: 23
September and July: 8
September: 28
July: 48
July and August: 10
None of the three months: 24

What is the number of surveyed people who have read exactly for two consecutive months?

a. 7
b. 9
c. 12
d. 14

6. A train travelling at 36 kmph crosses a platform in 20 seconds and a man standing on the platform in 10 seconds. What is the length of the platform in meters?

a. 240 metres
b. 100 metres
c. 200 meters
d. 300 meters

7. By walking at 4/5th of his usual speed, a man reaches office 10 minutes later than usual. What is his usual time?

a. 20 min
b. 40 min
c. 30 min
d. 50 min

8. A man and a woman 81 miles apart from each other, start travelling towards each other at the same time. If the man covers 5 miles per hour to the women’s 4 mile per hour, how far will the woman have travelled when they meet?

a. 27
b. 36
c. 45
d. None of these

9. Two people were walking in opposite directions. Both of them walked 6 miles forward then took right and walked 8 miles. How far is each from starting positions?

a. 14 miles and 14 miles
b. 10 miles and 10 miles
c. 6 miles and 6 miles
d. 12 miles and 12 miles

10. Four men and three women can do a job in 6 days. When 5 men and 6 women work on the same job, the work gets completed in 4 days.How long will 2 women and 3 men take to do the job?

a. 18
b. 10
c. 8.3
d. 12

Directions for questions 11 – 15: Each of questions consist of question followed by two statements numbered I and II. Mark

Answer (1) if data in Statement I alone is sufficient to answer the question but the data in Statement II alone is not sufficient to answer the question.
Answer (2) if data in Statement II alone is sufficient to answer the question but the data in Statement I alone is not sufficient to answer the question.
Answer (3) if data in Statement I and II together are necessary to answer the question.
Answer (4) if data in Statement I and II together are not sufficient to answer the question.

11. AABC and APQR are congruent

a. Area of AABC and APQR are same
b. AABC and APQR are right angle Triangles

12. Salary of A and B is in ratio 3:4 and expenditure is in ratio 4:5. What is the ratio of their saving?

a. B’s saving is 25% of his salary
b. B’s salary is Rs 2500

13. What is the average height of the class?

a. Average height of the class decreases by 1 cm if we exclude the tallest person of the class whose height is 56 cm
b. Average height of the class increases by 1 cm if we exclude the shortest person of the class whose height is 42 cm

14. Ram is taller than Shyam and Jay is shorter than Vikram. Who is the shortest among them?

a. Ram is the tallest.
b. Shyam is taller than Vikram.

15. In September 2009, the sales of a product were (2/3)rd of that  in July 2009. In November 2009, the sales of the product were higher by 5% as compared to September 2009. How much is the percentage of increase in sales in November 2009 with respect to the base figure in July 2009?

a. + 40%
b. – 20%
c. – 30%
d. + 25%

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Solutions:

1. 66 cubic cm = 66 * 10 * 10 * 10 cubic mm.

66 * 10 * 10 * 10 = 22/7 * 0.5 * 0.5 * L

L = 84 meters. Option a.

2. 220 m in 6 seconds. 2.2 km in 1 minute. 132 km per hour. So, the other train is moving at 82 km/hr. Option d.

3. Option b.

4. 10x^2 to 7x^2. Option d.

5. Option b.

6. 36 kmph is 10 m/s. So, length of the train is 100 m and so, length of the platform is also 100 m. Option b.

7. Speed becomes 4/5th, time taken becomes 5/4th. So, increase by 1/4th. So, original time was 40 minutes. Option b.

8. 4/9*81 = 36 km. Option b.

9. Option b.

10. 24m + 18w = 20m + 24w

2m = 3w. Total work is 36m or 54w. Now, we have 6.5w units happening per day. So, 54/6.5 = 8.3. Option c.

11. Option d. The dimensions could be anything even with the same area.

12. Salary of A be 3x and that of B be 4x. Expenditure of A be 4y and that of B be 5y.

From statement a, 5y = 75/100*3x. So, we get a relationship between x and y and so, this statement is sufficient.

Statement b is not really relevant as it does not give us the amount that A and B have spent or saved.

Option a.

13. Let the total height be x and total number of people be n. So, using statement a, we get (x – 56)/(n – 1) = x/n – 1.

Using statement b, we get (x – 42)/(n – 1) = x/n + 1

So, we have two equations and two variables and so, it can be solved using both the statements. Option c.

14. Option b.

15. Let July sales be 60, September sales are 40, November sales are 42. So, the sales fell by 30%. 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

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