UPSC Exam  >  UPSC Questions  >  Direction: Among 400 cricket players, 45% pla... Start Learning for Free
Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.
Q. How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?
  • a)
    30
  • b)
    35
  • c)
    40
  • d)
    65
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% pl...

x + y + 80 + 25 = 180
or x + y = 75          ...... (i)
y + z + 80 + 110 = 290
or y + z = 100      ..........(ii)
x + z + 80 + 45 = 230
or x + z = 105         ........(iii)
from eq. (i), (ii) and (iii)
x = 40, y = 35, z = 65
View all questions of this test
Most Upvoted Answer
Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% pl...
Free Test
Community Answer
Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% pl...
Given:
- Total cricket players = 400
- Percentage of players who played in IPL 1 = 45%
- Percentage of players who played only in IPL 1 = 6.25%
- Percentage of players who played in IPL 2 = 57.5%
- Percentage of players who played only in IPL 2 = 11.25%
- Percentage of players who played in IPL 3 = 72.5%
- Percentage of players who played only in IPL 3 = 27.5%
- Percentage of players who played in all three IPL tournaments = 20%

To Find:
The number of players who played in IPL 1 and IPL 2 but not in IPL 3.

Solution:
Let's calculate the number of players who played in each tournament.

- Number of players who played in IPL 1 = 45% of 400 = (45/100) * 400 = 180
- Number of players who played only in IPL 1 = 6.25% of 400 = (6.25/100) * 400 = 25
- Number of players who played in IPL 2 = 57.5% of 400 = (57.5/100) * 400 = 230
- Number of players who played only in IPL 2 = 11.25% of 400 = (11.25/100) * 400 = 45
- Number of players who played in IPL 3 = 72.5% of 400 = (72.5/100) * 400 = 290
- Number of players who played only in IPL 3 = 27.5% of 400 = (27.5/100) * 400 = 110

Now, let's find the number of players who played in all three tournaments.

- Number of players who played in all three tournaments = 20% of 400 = (20/100) * 400 = 80

Calculation:
To find the number of players who played in IPL 1 and IPL 2 but not in IPL 3, we need to subtract the number of players who played in all three tournaments from the number of players who played in both IPL 1 and IPL 2.

Number of players who played in IPL 1 and IPL 2 = Number of players who played in IPL 1 + Number of players who played in IPL 2 - Number of players who played in all three tournaments
= 180 + 230 - 80
= 330

Therefore, the number of players who played in IPL 1 and IPL 2 but not in IPL 3 is 330.

Hence, the correct answer is option 'C' (40).
Explore Courses for UPSC exam

Similar UPSC Doubts

Top Courses for UPSC

Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer?
Question Description
Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer?.
Solutions for Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Direction: Among 400 cricket players, 45% played in IPL 1 and 6.25% played in only IPL 1. Again, 57.5% players played in IPL 2 and 11.25% players played only in IPL 2. Again 72.5 players played in IPL 3 and 27.5% players played only in IPL 3. Twenty percent players played in all three IPL tournaments.Q.How many players are there who played in IPL 1 and IPL 2 but not in IPL 3?a)30b)35c)40d)65Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev