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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
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.
Text Explanation:
It is given,
Number of players who scored less than or equal to 40 runs in tournament Q = 300 - 90 = 210
Number of players who scored more than 60 runs in tournament P and Q together = 75 + 75 = 150
The percentage by which 210 is greater than 150 is calculated as,
Percentage = $\dfrac{210\ -\ 150}{150}\ \times\ 100\ =\ 40\%$
The answer is option C.
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?
The number of players who scored more than 60 runs in tournament Q is 75.
The number of players who scored less than or equal to 20 runs in tournaments Q and R together = 120 + 90 = 210
Required ratio = 75 : 210 = 5 : 14
The answer is option B.
What is the total number of players who scored more than 60 runs in all the three tournaments?
Total number of players who scored more than 60 runs in all the three tournaments = 75 + 75 + 60 = 210
The answer is option A.
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 = _________.
The number of players who scored more than 40 runs in tournament P(L) = 105
The number of players who scored less than or equal to 40 runs in tournament R(M) = 300 - 90 = 210
M - L = 210 - 105 = 105
The answer is option D.
Average number of players who scored more than 20 runs in all the three tournaments is
Average number of players who scored more than 20 runs in all the three tournaments = $\ \frac{\ 240+180+210}{3}=\frac{630}{3}=210$
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:
This question is not clear and is officially removed from CMAT 2023 paper.
