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At the end of the T20 cricket match, every player had scored a prime number of runs and the average of the 11 players was also a prime number. No player’s individual runs were the same as anyone else’s or as the average. Nobody had scored more than 45 runs.
Q. How many players had scored above 20 runs individually?
- a)6
- b)5
- c)7
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
At the end of the T20 cricket match, every player had scored a prime n...
There are 14 prime numbers less than 45 which are as follows:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43
Sum of all these 14 prime numbers = 281 Let’s validate answer options
a) Let the average = 17 ⇒ sum of scores of 11 players = 17 × 11 = 187
187 + the average value (17) = 204
Sum of remaining 2 values to be eliminated = 281 – 204 = 77 (odd number)
= odd value + even value, 2 is the only even prime number value
⇒ odd value must be = 75, not possible
b) Let the average = 19 ⇒ sum of scores of 11 players = 19 × 11 = 209
209 + the average value (19) = 228
Sum of remaining 2 values to be eliminated = 281 – 228 = 53 (odd number)
= odd value + even value, 2 is the only even value among available prime numbers
⇒ odd value must be = 51, not possible
c) Let the average = 23 ⇒ sum of scores of 11 players = 23 × 11 = 253
253 + the average value (23) = 276
Sum of remaining 2 values to be eliminated = 281 – 276 = 5 (odd number)
= odd value + even value = 2 + 3
⇒ scores of 11 players are 5, 7, 11, 13, 17, 19, 29, 31, 37, 41 and 43 and their average score = 23
d) Let the average = 29 ⇒ sum of scores of 11 players = 29 × 11 = 319 which is more than the sum of all 14 available prime numbers, so not possible
Number of players who had scored above 20 runs individually = 5
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43
Sum of all these 14 prime numbers = 281 Let’s validate answer options
a) Let the average = 17 ⇒ sum of scores of 11 players = 17 × 11 = 187
187 + the average value (17) = 204
Sum of remaining 2 values to be eliminated = 281 – 204 = 77 (odd number)
= odd value + even value, 2 is the only even prime number value
⇒ odd value must be = 75, not possible
b) Let the average = 19 ⇒ sum of scores of 11 players = 19 × 11 = 209
209 + the average value (19) = 228
Sum of remaining 2 values to be eliminated = 281 – 228 = 53 (odd number)
= odd value + even value, 2 is the only even value among available prime numbers
⇒ odd value must be = 51, not possible
c) Let the average = 23 ⇒ sum of scores of 11 players = 23 × 11 = 253
253 + the average value (23) = 276
Sum of remaining 2 values to be eliminated = 281 – 276 = 5 (odd number)
= odd value + even value = 2 + 3
⇒ scores of 11 players are 5, 7, 11, 13, 17, 19, 29, 31, 37, 41 and 43 and their average score = 23
d) Let the average = 29 ⇒ sum of scores of 11 players = 29 × 11 = 319 which is more than the sum of all 14 available prime numbers, so not possible
Number of players who had scored above 20 runs individually = 5
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At the end of the T20 cricket match, every player had scored a prime number of runs and the average of the 11 players was also a prime number. No player’s individual runs were the same as anyone else’s or as the average. Nobody had scored more than 45 runs.Q.How many players had scored above 20 runs individually?a)6b)5c)7d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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At the end of the T20 cricket match, every player had scored a prime number of runs and the average of the 11 players was also a prime number. No player’s individual runs were the same as anyone else’s or as the average. Nobody had scored more than 45 runs.Q.How many players had scored above 20 runs individually?a)6b)5c)7d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about At the end of the T20 cricket match, every player had scored a prime number of runs and the average of the 11 players was also a prime number. No player’s individual runs were the same as anyone else’s or as the average. Nobody had scored more than 45 runs.Q.How many players had scored above 20 runs individually?a)6b)5c)7d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At the end of the T20 cricket match, every player had scored a prime number of runs and the average of the 11 players was also a prime number. No player’s individual runs were the same as anyone else’s or as the average. Nobody had scored more than 45 runs.Q.How many players had scored above 20 runs individually?a)6b)5c)7d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for At the end of the T20 cricket match, every player had scored a prime number of runs and the average of the 11 players was also a prime number. No player’s individual runs were the same as anyone else’s or as the average. Nobody had scored more than 45 runs.Q.How many players had scored above 20 runs individually?a)6b)5c)7d)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT.
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