After successfully completing the CAT 2016 sprint series and the SNAP 2016 sprint series, we are back with the XAT 2017 sprint preparation series – Quant 5 to boost your prep. This series will consist of 10 sets of questions from past year XAT papers, leading to XAT 2017 and covered almost all the question types that you needed to know come the 8th of January.

# XAT 2017 sprint preparation series – Quant 5

1.Three Vice Presidents (VP) regularly visit the plant on different day Due to labour unrest, VP (HR) regularly visits the plant after a gap of 2 days. VP (Operations) regularly visits the plant after a gap of 3 days. VP (Sales) regularly visits the plant after a gap of 5 days. The VPs do not deviate from their individual schedules. CEO of the company meets the VPs when all the three VPs come to the plant together. CEO is one leave from January 5th to January 28th, 2012. Last time CEO met the VPs on January 3, 2012. When is the next time CEO will meet all the VPs?

A.February 6, 2012

B. February 7, 2012

C.February 8, 2012

D.February 9, 2012

E. None of the above

2.Ramesh analysed the monthly salary figures of five vice presidents of his compa All the salary figures are integers. The mean and the median salary figures are Rs. 5 lakh, and the only mode is Rs.8 lakh. Which of the options below is the sum (in Rs. lakh) of the highest and the lowest salaries?

A.9

B. 10

C.11

D.12

E. None of the above

**Answer question nos. 3-5 bas****ed on the following information**

The following graphs shows the revenue (in $ million) of three companies in their initial six years of operations, in an economy which is characterized by a persistent inflation.

3.In 2010, which could be a valid statement about the revenues (adjusted for inflation) of these three companies?

A.Revenues of all three companies were equal

B.Revenues of all three companies could be equal

C.Revenue of Yahoo was definitely less than Facebook which was definitely less than Google

D.Total of Yahoo and Facebook was definitely higher than that of Google

E.None of the above

4.The difference in the average percentage increase in revenues, from 4th to 6th year, of Yahoo and Facebook is:

A.35%

B.40%

C.45%

D.50%

E.55%

5.What would have been Facebook’s revenue (in $ million) in its sixth year of operation if the company had matched Google’s percentage growth in revenues from the fifth to the sixth year?

Choose the option that is nearest to the answer.

A.1600

B.1700

C.1900

D.2100

E.None of the above.

6.Tina, Mina, Gina, Lina and Bina are 5 sisters, aged in that order, with Tina being the eldest. Each of them had to carry a bucket of water from a well to their house. Their buckets’ capacities were proportional to their ages. While returning, equal amount of water got splashed out of their buckets. Who lost maximum amount of water as a percentage of the bucket capacity?

A.Tina

B.Mina

C.Gina

D.Lina

E. Bina

7.Ram, a farmer, managed to grow shaped- watermelons inside glass cases of different The shapes he used were: a perfect cube, hemi-spherical, cuboid, cylindrical along with the normal spherical shaped watermelons. Thickness of the skin was same for all the shapes. Each of the glass cases was so designed that the total volume and the weight of the all the water-melons would be equal irrespective of the shape.

A customer wants to but water-melons for making juice, for which the skin of the watermelon has to be peeled off, and therefore is a waste. Which shape should the customer buy?

A.Cube

B.Hemi-sphere

C.Cuboid

D.Cylinder

E.Normal spherical

8.A man borrows 6000 at 5% interest, on reducing balance, at the start of the year. If he repays Rs. 1200 at the end of each year, find the amount of loan outstanding, (in Rs.), at the beginning of the third year.

A.3162.75

B.4125.00

C.4155.00

D.5100.00

E. 5355.00

9.A spherical metal of radius 10 cm is molten and made into 1000 smaller spheres of equal volume. In this process the surface area of the metal is increased by:

A.1000 times

B.100 times

C.10 times

D.No change

E.None of the above

10.Gopal sells fruit juice mixture using orange juice and pineapple Gopal prepares this mixture by drawing out a jug of orange juice from a 10 litre container filled with orange juice, and replacing it with pineapple juice. If Gopal draws out another jug of the resultant mixture and replaces it with pineapple juice, the container will have equal volumes of orange juice and pineapple juice. The volume of the jug in litres, is

A.2

B.> 2 and < 2.5

C.2.5

D.> 2.5 and < 3

E.>3

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Solutions:

1. LCM (3, 4, 6) will be 12. So, Jan 3, Jan 15, Jan 27 and Feb 8. Option c.

2. There has to be two 8s or three 8s. Total salary is 25 and so, there are two 8s and one 5. So, (8, 8, 5, 3, 1) is the only solution. Option a.

3. The data given is insufficient. Option e.

4. Yahoo is 250 to 1200 so percentage increase of 380% i.e. average of 190%.

Facebook is 300 to 2000 so percentage increase of 567% i.e. average of 283%.

Difference is 93% on 190% or approximately 50%. Option d.

5. Google went from 1500 to 3200. So, Facebook would have gone from 750 to x. So, x = 3200*750/1500 = 1600. Option a.

6. Let the ages be 5, 4, 3, 2, 1. Let them spill 10 ml each. Let the capacities of their buckets be 100, 80, 60, 40 and 20. So, the percentage lost is the maximum for the person with the minimum capacity. So, option e.

7. For a given volume, a sphere has the least surface area. Option e.

8. 6000 -> 1200 paid -> 5100 remains -> 1200 paid -> 4155 remains. Option c.

9. Total original volume = 4/3*pi*1000.

Let the new radius be r. So, 4/3*pi*r^3*1000 = 4/3*pi*1000

So, r = 1.

Original surface area is 4*pi*100

New surface area is 4*pi*1000

So, increased to 10 times or increased by 9 times. Option e.

10. Let the capacity of the jug be x.

After the first replacement, orange juice is 10 – x and pineapple juice is x.

If another jug of the mixture is taken out, we have taken out x^2/10 of pineapple juice. So, 2x – x^2/10 is left. But this is equal to 5.

2x – x^2/10 = 5

x^2 – 20x + 50 = 0

{ 20 – sqrt(200) }/2 = 2.83. Option d.

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You can follow the entire sprint series here: XAT 2017 Sprint Preparation Series by Learningroots

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