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 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.?