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(i) A, B, C, D, E, F, G, and H are eight friends. Three of them play cricket and table tennis each and two of them play football. Each one of them has a different height


(ii) The tallest does not play football, and the shortest does not play cricket


(iii) F is taller than A and D but shorter than H and B. E who does not play cricket, is taller than B and is second to the tallest. G is shorter than D but taller than A.


(iv) H, who is fourth from the top, plays table tennis with D.


(v) G does not play either cricket or football. B does not play football.


Q. Who is the tallest?

  • a)
    B

  • b)
    H

  • c)
    C

  • d)
    Data inadequate

Correct answer is option 'C'. Can you explain this answer?
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Direction :(i) A, B, C, D, E, F, G, and H are eight friends. Three of ...
We will read each statement one by one and start coding accordingly.




  • Three of them play cricket and table tennis each, and two of them play football.


    3Cr 3TT 2Fb


    Each of them has a different height



  • The tallest does not play football, and the shortest does not play cricket.



  • F is taller than A and D but shorter than H and B. The arrangement can be like this




    Note: Here, the heights of H & B and A & D are not given.


    E does not play cricket.




    and is taller than B and also second to the tallest


    So E’s position is


    G is shorter than D but taller than A

    So,


  • H is fourth from the top so its position is


    H plays TT with D so


    H → TT

    D → TT


  • G does not play either cricket or football so G will play table tennis


    G → TT


    Now overall arrangements will be like this


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Most Upvoted Answer
Direction :(i) A, B, C, D, E, F, G, and H are eight friends. Three of ...
Given Information:
- A, B, C, D, E, F, G and H are eight friends.
- Three of them play cricket and table tennis each, and two of them play football.
- Each one of them has a different height.
- The tallest does not play football, and the shortest does not play cricket.
- F is taller than A and D but shorter than H and B.
- E, who does not play cricket, is taller than B and is second to the tallest.
- G is shorter than D but taller than A.
- H, who is fourth from the top, plays table tennis with D.
- G does not play either cricket or football. B does not play football.

To find: Who is the tallest among A, B, C, D, E, F, G, and H?

Solution:
- From the given information, we can create the following table to keep track of who plays which sports and their heights:

| Friend | Cricket | Table Tennis | Football | Height |
|--------|---------|--------------|----------|--------|
| A | ✓ | ✓ | | Short |
| B | | | | Second |
| C | ✓ | ✓ | | |
| D | | ✓ | | |
| E | | | | Tallest|
| F | ✓ | ✓ | | |
| G | | | | |
| H | | ✓ | | Fourth |

- From the given information, we know that:
- Three people play cricket and table tennis each. Let's assume A, C, and F play cricket and table tennis.
- Similarly, let's assume D, H, and one other person play table tennis.
- Two people play football. Let's assume C and one other person play football.
- The tallest person does not play football, and the shortest person does not play cricket. Therefore, E does not play cricket, and A does not play football.
- F is taller than A and D but shorter than H and B. Therefore, B is the tallest, and H is the second tallest.
- E is taller than B and is second to the tallest. Therefore, E is the second tallest.
- G is shorter than D but taller than A. Therefore, G is taller than A but shorter than D.
- H plays table tennis with D. Therefore, the remaining person who plays table tennis is G.

- Now, we can update our table:

| Friend | Cricket | Table Tennis | Football | Height |
|--------|---------|--------------|----------|--------|
| A | ✓ | ✓ | | Short |
| B | | | | Tallest|
| C | ✓ | ✓ | ✓ | |
| D | | ✓ | | Fourth |
| E | | | | Second |
| F | ✓ | ✓ | | Third |
| G | | ✓ | | |
| H | | ✓ | | Second |

- Therefore, the tallest person among A, B, C, D, E, F, G, and H is B.

Answer: Option (
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Community Answer
Direction :(i) A, B, C, D, E, F, G, and H are eight friends. Three of ...
We will read each statement one by one and start coding accordingly.
  • Three of them play cricket and table tennis each, and two of them play football.
    3Cr 3TT 2Fb
    Each of them has a different height
  • The tallest does not play football, and the shortest does not play cricket.
  • F is taller than A and D but shorter than H and B. The arrangement can be like this
    Note: Here, the heights of H & B and A & D are not given.
    E does not play cricket.
    and is taller than B and also second to the tallest
    So E’s position is
    G is shorter than D but taller than A
    So,
  • H is fourth from the top so its position is
    H plays TT with D so
    H → TT
    D → TT
  • G does not play either cricket or football so G will play table tennis
    G → TT
    Now overall arrangements will be like this
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Direction :(i) A, B, C, D, E, F, G, and H are eight friends. Three of them play cricket and table tennis each and two of them play football. Each one of them has a different height(ii) The tallest does not play football, and the shortest does not play cricket(iii) F is taller than A and D but shorter than H and B. E who does not play cricket, is taller than B and is second to the tallest. G is shorter than D but taller than A.(iv) H, who is fourth from the top, plays table tennis with D.(v) G does not play either cricket or football. B does not play football.Q. Who is the tallest?a)Bb)Hc)Cd)Data inadequateCorrect answer is option 'C'. Can you explain this answer?
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Direction :(i) A, B, C, D, E, F, G, and H are eight friends. Three of them play cricket and table tennis each and two of them play football. Each one of them has a different height(ii) The tallest does not play football, and the shortest does not play cricket(iii) F is taller than A and D but shorter than H and B. E who does not play cricket, is taller than B and is second to the tallest. G is shorter than D but taller than A.(iv) H, who is fourth from the top, plays table tennis with D.(v) G does not play either cricket or football. B does not play football.Q. Who is the tallest?a)Bb)Hc)Cd)Data inadequateCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Direction :(i) A, B, C, D, E, F, G, and H are eight friends. Three of them play cricket and table tennis each and two of them play football. Each one of them has a different height(ii) The tallest does not play football, and the shortest does not play cricket(iii) F is taller than A and D but shorter than H and B. E who does not play cricket, is taller than B and is second to the tallest. G is shorter than D but taller than A.(iv) H, who is fourth from the top, plays table tennis with D.(v) G does not play either cricket or football. B does not play football.Q. Who is the tallest?a)Bb)Hc)Cd)Data inadequateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction :(i) A, B, C, D, E, F, G, and H are eight friends. Three of them play cricket and table tennis each and two of them play football. Each one of them has a different height(ii) The tallest does not play football, and the shortest does not play cricket(iii) F is taller than A and D but shorter than H and B. E who does not play cricket, is taller than B and is second to the tallest. G is shorter than D but taller than A.(iv) H, who is fourth from the top, plays table tennis with D.(v) G does not play either cricket or football. B does not play football.Q. Who is the tallest?a)Bb)Hc)Cd)Data inadequateCorrect answer is option 'C'. Can you explain this answer?.
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