Comprehension
There are 938 players played cricket in the world and some of them are played different-different leagues APL, BPL, and CPL in the world. There are 56 \(\frac{8}{7}\) % of players who do not play in any league.BPL has 4 more players as compare to CPL and APL have 22 players less than the CPL. The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together is 3 : 2. The total number of players who play only in APL and BPL is equal to the sum of the players who play in only APL & CPL together and BPL & CPL together. The total number of players who play in all three leagues is 99 less than to the players who play in BPL. 40% of the players who play in all three leagues are playing in APL and CPL together. Answers the given questions based on the above information.
Question: 1
The total number of players who play in all three leagues is what percentage of the players who plays only in two leagues together ?
The total number of players who play in all three leagues is what percentage of the players who plays only in two leagues together ?
Updated On: Sep 10, 2024
- 60%
- 45%
- 75%
- 40%
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The Correct Option is C
Solution and Explanation
The total number of players = 938
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
Required percentage = \(\frac{45}{(30+12+18)}\) × 100 = 75%
So, the correct option is (C) : 75%.
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
Required percentage = \(\frac{45}{(30+12+18)}\) × 100 = 75%
So, the correct option is (C) : 75%.
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Question: 2
The total number of players who play only in APL is what less percentage to the players who play in only CPL ?
The total number of players who play only in APL is what less percentage to the players who play in only CPL ?
Updated On: Sep 10, 2024
- 65%
- 62%
- 58%
- 67%
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The Correct Option is B
Solution and Explanation
The total number of players = 938
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
Required percentage = (65 - 25)/65 × 100 = 61.5% = 62% approximate
So, the correct option is (B) : 62%
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
Required percentage = (65 - 25)/65 × 100 = 61.5% = 62% approximate
So, the correct option is (B) : 62%
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Question: 3
Find the total number of players who play in at least two leagues.
Find the total number of players who play in at least two leagues.
Updated On: Sep 10, 2024
- 45
- 60
- 95
- 105
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The Correct Option is D
Solution and Explanation
The total number of players = 938
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
The total number of players who play in at least two leagues = 30 + 18 + 12 + 45 = 105
So, the correct option is (D) : 105.
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
The total number of players who play in at least two leagues = 30 + 18 + 12 + 45 = 105
So, the correct option is (D) : 105.
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Question: 4
Find the difference between the players who play in only CPL and who play only APL and BPL together.
Find the difference between the players who play in only CPL and who play only APL and BPL together.
Updated On: Sep 10, 2024
- 30
- 35
- 40
- 45
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The Correct Option is B
Solution and Explanation
The total number of players = 938
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
The difference between the players who play in only CPL and who play only APL and BPL together = 65 - (30) = 35
So, the correct option is (B) : 35.
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
The difference between the players who play in only CPL and who play only APL and BPL together = 65 - (30) = 35
So, the correct option is (B) : 35.
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Question: 5
Find the total number of players who play at most two leagues.
Find the total number of players who play at most two leagues.
Updated On: Sep 10, 2024
- 207
- 60
- 147
- 185
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The Correct Option is A
Solution and Explanation
The total number of players = 938
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
The total number of players who play at most two leagues = 25 + 57 + 65 + 30 + 18 + 12 = 207
So, the correct option is (A) : 207.
The total number of players who do not play in any league = 56\(\frac{8}{2}\) % of 938 = \(\frac{4}{7}\) × 938 = 536
So, the total number of players who play in all three leagues = 938 – 536 = 402
Let’s assume the total number of players in CPL = x
So, the total number of players in BPL = x + 4
The total number of players in APL = x - 22
x + x + 4 + x - 22 = 402
x = 140
So, the total number of players in APL, BPL, and, CPL = 118, 144, 140 respectively = 118, 144, 140 respectively
The ratio between the players who play in only APL & CPL together to the players who play only BPL & CPL together = 3k : 2k
The total number of players who play in only APL and BPL together = 3k + 2k = 5k
The total number of players who play in all three leagues = 144 - 99 = 45
The total number of players who play only APL and CPL together = 40% of 45 = 18
The total number of players who play only BPL & CPL together = \(\frac{18}{3}\) × 2 = 12
The total number of players who play in only APL and BPL together = 18 + 12 = 30
The total number of players who play at most two leagues = 25 + 57 + 65 + 30 + 18 + 12 = 207
So, the correct option is (A) : 207.
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