# CMAT 2018 Slot 1

Instructions

For the following questions answer them individually

Question 1

How many iron balls, each of radius 1 cm, can be made from a sphere whose radius is 8 cm?

Question 2

If a is between 0 and 1, which of the following statements is (are) true?
(i) $$a^2$$ - 1> 0
(ii) $$a^2$$ + 1 > 0
(iii) $$a^2$$ - a > 0

Question 3

The following pie chart provides information about the revenue share of six companies P, Q, R, S,T, U as a percentage of the total car market(in Rs.)in the year 2010. These are the only six companies producing car in the market.

Revenue share

If the revenue share of company T increases by 20% in the year 2011, then find the percentage increase in the
revenue share of these six companies in the year 2011 assuming that all the other companies except T
generated the same revenue as they did in the year 2010.

Question 4

In how many years will Rs. 2 lakh double itself at 11.5% per annum simple interest?

Question 5

If AB + C = D, find A and C given that when B = 6, D = 30 and when B = 8, D = 36.

Question 6

If $$y^2$$ + 3y - 18 ≥ 0, which of the following is true?

Question 7

In how many different ways can 3 red balls, 2 blue balls and 4 yellow balls be arranged so that the balls of the same color come together?

Question 8

The following table shows the courier charges (in Rs.) for sending 1 kg parcel from one city to another.

Among the following, the charges will be the least for sending a parcel from:-

Question 9

Three numbers X, Y and Z are in the ratio of 12: 15: 25. If the sum of twice of these numbers is 614, the ratio between the difference of Y and X and the difference of Z and Y is:-

Question 10

Ankush and Babulal walk around circular track.They start at 9 a.m. from the same point in the opposite directions.Ankush and Babulal walk at a speed of 3 rounds per hour and 5 rounds per hour respectively. How many times shall they cross each other until 10.30 a.m.?

OR

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