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After successfully completing the CAT 2016 sprint series, we are back with the SNAP 2016 sprint preparation series – Quant 4 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 4

1. The diagonal of a square is √2 cm. The diagonal of another square whose area is double that of the first square is 4 double that of the first square is

a. 8 cm
b. 8√2 cm
c. 4√2 cm
d. 16 cm

2. The maximum  length  of  a  pencil  that  can  be  kept  in  a  rectangular  box  of dimensions 8 cm x 6 cm x 2 cm, is

a. 2√13 cm
b. 2√14 cm
c. 2√26 cm
d. 10√2 cm

Directions for questions 3 and 4: Answer the questions based on the information given below

The Venn diagram given below shows the estimated readership of 3 daily newspapers (X, Y & Z) in a city. The total readership and advertising cost for each of these papers

 Newspapers Readership (lakhs) Advertising cost (Rs. per sq. cm) X 8.7 6000 Y 9.1 6500 Z 5.6 5000

The  total  population  of the  city  is  estimated  to  be  14 million.  The  common readership (in lakhs) is indicated in the given Venn diagram

3. The number of people (in lakhs) who read at least one newspaper is
a. 4.7
b. 11.9
c. 17.4
d. 23.4

4. The number of people (in lakhs) who read only one newspaper is

a. 4.7
b. 11.9
c. 17.4
d. 23.4

5. Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount of Rs.12,750. What is Sonali’s monthly income?

a. 42,500
b. 38,800
c. 40,000
d. 35,500

6. How many kgs of tea worth Rs. 25 per kg must be blended with 30 kgs of tea worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be a gain of 10%?

a. 36 kgs
b. 40 kgs
c. 32 kgs
d. 42 kgs

7. In an examination, out of 80 students 87.5% of the girls and 75% of the boys passed. How many boys appeared in the examination if total pass percentage was 80%?

a. 47
b. 48
c. 32
d. 36

8. 300 gms of salt  solution has 40%  salt  in it. How  much salt should be added to make it 50% in the solution?

a. 40 gms
b. 60 gms
c. 70 gms
d. 80 gms

9. What number should replace the question mark in the image below?

 6 12 ? 48 96 192

a. 18
b. 20
c. 22
d. 24

10. What image from bottom row should replace the question mark?

a. 4
b. 6
c. 1
d. none

11. In 4 years, Rs. 6000 amounts to Rs. 8000. In what time at the same rate will Rs. 525 amount to Rs. 700?

a. 2 years
b. 3 years
c. 4 years
d. 5 years

Directions for questions 12 – 14: At the start of a game of cards, J and B together had four times as much money as T, while T and B together had three times as much as J.At the end of the evening, J and B together had three times as much money as T, while T and B together had twice as much as J. B lost Rs. 200

12. What fraction of the total money did T have at the beginning of the game?

a. 1/3
b. 1/8
c. 2/9
d. 1/5

13. What fraction of the total money did J win/lose?

a. Won 1/12
b. Lost 1/6
c. Lost 1/3
d. Won 1/5

a. Rs. 575
b. Rs. 375
c. Rs. 825
d. Rs. 275

15. If a and b are negative, and c is positive, which of the following statement/s is/are true?

I) a – b < a – c
II) if a < b, then a/c < b/c
III)  a/b < a/c

a. I only
b. II only
c. III only
d. II and III only

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Solutions:

1. Side of the first square is 4cm. Area of the first square is 16 sq.cm. Area of the second square will be 32 sq.cm. So, side of the second square will be 4√2 cm. So, diagonal will be 8 cm in length. Option a.

2. The length of the body diagonal will be the maximum length and so, √104 or 2√26 is the answer. Option c.

3. Only X is 4.7, only Y is 4.6 and only Z is 2.6. So, people who read at least one newspaper would be 17.4 lakh. Option c.

4. The total is 11.9. Option b.

5. 30% is 12750. So, overall will be 42500. Option a.

6. {25x + 900}*1.1 = 30*(x + 30)

27.5x + 990 = 30x + 900

x = 36. Option a.

7. 7/8 of the girls and ¾ of the boys passed. Total of 64 students passed. Let boys be x.

7(80 – x)/8 + 3x/4 = 64

x = 48. Option b.

8. (120 + x)/(300 + x) = ½, x = 60. Option b.

9. Option d.

10. Option b.

11. It’s the same ratio and so, 4 years. Option c.

12. At the start, J + B = 4T, T + B = 3J.

At the end, J’ + B’ = 3T’, T’ + B’ = 2J’

T/(J + B + T) = 1/5. Option d.

13. J – T = 4T – 3J

4J = 5T, B = 2.2J

J’ – T’ = 3T’ – 2J’

3J’ = 4T’, B’ = 1.25J’

But, B – B’ = 200

2.2J – 1.25J’ = 200

220J/100 – 125J’/100 = 200

220J – 125J’ = 20000

44J – 25J’ = 4000

Also, J + B + T = J’ + B’ + T’

4J = 3J’

J’ = 500, J = 375

B’ = 625, B = 825

T’ = 375, T = 300

Total money = 1500, J won 125. So, J won 1/12. Option a.

14. Option c.

15. Let a = -1, b = -2 and c = 1. Statement I and III are violated. Option b has to be correct.

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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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