Instructions

The following table shows the percentage of Cricket players and scored runs by them in three different tournaments P, Q and R. Total number of players is 300 and all the 300 players played all the matches in each tournament. Based on the data in the table; answer-the questions 1-5.

Tournament-wise Percentage of Players scoring runs

Question 1

Number of players who scored less than or equal to 40 runs in tournament Q is _____ % more than the number of players who scored more than 60 runs in tournament P and Q together.

Question 2

what is the ratio between the number of players who scored more than 60 runs in tournament Q to the number of players who scored less than or equal to 20 runs in tournaments Q and R together?

Question 3

What is the total number of players who scored more than 60 runs in all the three tournaments?

Question 4

If L is the number of players who scored more than 40 runs in tournament P and M is the number of players who scored less than or equal to 40 runs in tournament R, then M - L = _________.

Instructions

For the following questions answer them individually

Question 6

Given below are two statements:

Statement I: Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(AB) = 0.5. Then P(AC BC) = $$\frac{3}{10}$$

Statement II: Let A and B be two events such that P(A) = 0.2, P(B) = 0.4 and P(AUB) = 0.6. The.n P(AB) = $$\frac{3}{10}$$

In the fight of the above statements choose the most appropriate answer from the options given below:

Question 7

If M, A and T ate distinct positive integers such that M $$\times$$ A $$\times$$ T = 1947, then which of the following is the maximum possible value of M + A + T?

Question 8

Let S(n) represents the sum of digits of a natural number n. For example, S(128)= 1 + 2 + 8 = 11. What is the value of $$S(2^{6} \times 3^{4} \times 5^{5}$$)?

Question 9

Given below are two statements:

Statement I : A bag captains 10 white and 10 red face masks which are all mixed up. The fewest number of face masks you can take from a bag without looking and be sure to get a pair of the same color is 3.

Statement II: The minimum number of students needed in a class to guarantee that there are at least 6 students whose birthdays fall in the same month, is 61.

In the light of the above statements, choose the most appropriate answer from the option given below:

Question 10

A and B started a business with investment of ₹ 4500 and ₹ 2700 respectively.

Find the share of profit of A in the total annual profit of ₹ 256.

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