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India is supposed to send its boxing team for Olympics in each of the following 10 weight group divisions.
A (48 kg -52 kg)        B (52 kg - 56 kg)
C (56 k g - 6 0 kg)     D (60 k g - 6 4 kg)
E (64 kg -68 kg)        F (68 kg - 72 kg)
G (72 k g - 76 kg)    H (76 k g - 80 kg)
I (80 kg - 84 kg)       J (84 kg - 88 kg)
After selecting one player from each group, their average weight comes out to be 68 kg. if one of the players named X leaves
If X leaves the team, and two new players join the group, then their average weight increases to 68 kg. These players can be from group....
  • a)
    A, C
  • b)
    D, J
  • c)
    Both from G
  • d)
    Either 2 or 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
India is supposed to send its boxing team for Olympics in each of the ...
Total weight of 11 players ( 68 x 11) kg = 748 kg
Increase in weight = (748 - 598.5) kg = 149.5
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Most Upvoted Answer
India is supposed to send its boxing team for Olympics in each of the ...
Solution:

Given, the average weight of the selected players is 68 kg.

Let the weight of player X be x kg.

So, the sum of the weights of the remaining 9 players is (68*10) - x.

When player X leaves, the team has 9 players and their average weight is still 68 kg.

Let the weights of the two new players be a kg and b kg.

So, the sum of the weights of the 9 players and the two new players is (68*10) - x + a + b.

It is given that the average weight of the team after the two new players join is 68 kg.

Therefore, we have

[(68*10) - x + a + b]/11 = 68

(680 - x + a + b)/11 = 68

680 - x + a + b = 748

a + b = 68 + x - 68

a + b = x

Hence, the weights of the two new players add up to the weight of player X.

Option D is correct because:

If the two new players are selected from group 2 and 3 (D and J), then their weights will be between 60 kg - 88 kg. Let's assume their weights are d kg and j kg. Then we have,

(d+j+x)/(9+2) = 68

d + j + x = 748

Since d and j are between 60 kg - 88 kg, their sum can be between 120 kg - 176 kg. Adding the weight of player X (which is between 48 kg - 52 kg) to this, we get a sum between 168 kg - 228 kg. This sum can be adjusted to 748 only if the weight of player X is 48 kg and the weights of the two new players are 60 kg and 60 kg.

Similarly, we can check that the option (a) and (c) are not possible, and the option (b) is also possible but it doesn't cover all the possible combinations of weights for the two new players. Therefore, the correct answer is option (d) - Either 2 or 3.
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India is supposed to send its boxing team for Olympics in each of the following 10 weight group divisions.A (48 kg -52 kg) B (52 kg - 56 kg)C (56 k g - 6 0 kg) D (60 k g - 6 4 kg)E (64 kg -68 kg) F (68 kg - 72 kg)G (72 k g - 76 kg) H (76 k g - 80 kg)I (80kg - 84 kg) J (84 kg - 88 kg)After selecting one player from each group, their average weight comes out to be 68 kg. if one of the players named X leavesIf X leaves the team, and two new players join the group, then their average weight increases to 68 kg. These players can be from group....a)A, Cb)D, Jc)Both from Gd)Either 2 or 3Correct answer is option 'D'. Can you explain this answer?
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India is supposed to send its boxing team for Olympics in each of the following 10 weight group divisions.A (48 kg -52 kg) B (52 kg - 56 kg)C (56 k g - 6 0 kg) D (60 k g - 6 4 kg)E (64 kg -68 kg) F (68 kg - 72 kg)G (72 k g - 76 kg) H (76 k g - 80 kg)I (80kg - 84 kg) J (84 kg - 88 kg)After selecting one player from each group, their average weight comes out to be 68 kg. if one of the players named X leavesIf X leaves the team, and two new players join the group, then their average weight increases to 68 kg. These players can be from group....a)A, Cb)D, Jc)Both from Gd)Either 2 or 3Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about India is supposed to send its boxing team for Olympics in each of the following 10 weight group divisions.A (48 kg -52 kg) B (52 kg - 56 kg)C (56 k g - 6 0 kg) D (60 k g - 6 4 kg)E (64 kg -68 kg) F (68 kg - 72 kg)G (72 k g - 76 kg) H (76 k g - 80 kg)I (80kg - 84 kg) J (84 kg - 88 kg)After selecting one player from each group, their average weight comes out to be 68 kg. if one of the players named X leavesIf X leaves the team, and two new players join the group, then their average weight increases to 68 kg. These players can be from group....a)A, Cb)D, Jc)Both from Gd)Either 2 or 3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for India is supposed to send its boxing team for Olympics in each of the following 10 weight group divisions.A (48 kg -52 kg) B (52 kg - 56 kg)C (56 k g - 6 0 kg) D (60 k g - 6 4 kg)E (64 kg -68 kg) F (68 kg - 72 kg)G (72 k g - 76 kg) H (76 k g - 80 kg)I (80kg - 84 kg) J (84 kg - 88 kg)After selecting one player from each group, their average weight comes out to be 68 kg. if one of the players named X leavesIf X leaves the team, and two new players join the group, then their average weight increases to 68 kg. These players can be from group....a)A, Cb)D, Jc)Both from Gd)Either 2 or 3Correct answer is option 'D'. Can you explain this answer?.
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