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22 Jun 2022, 06:30
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Difficulty:
65%
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Question Stats:
57% (01:47) correct
43%
(01:58)
wrong
based on 104
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Esther is giving Christmas presents to her family members. Each family member gets the same number of presents and no presents were leftover. If each family member gets at least one present, did each family member receive more than one present?
(1) Esther has forty Christmas presents to give out.
(2) If the number of family members were doubled, it would not be possible for each family member to get at least one present
Are You Up For the Challenge: 700 Level Questions
(1) Esther has forty Christmas presents to give out.
(2) If the number of family members were doubled, it would not be possible for each family member to get at least one present
Are You Up For the Challenge: 700 Level Questions
29 Jun 2022, 18:01
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Bunuel zhanbo, can you help me understand how statement 2 is sufficient?
Say there are 20 gifts and 20 members initially, so each member gets 1 gift, but now when we double the number of members of the family to 40 then not all will get atleast 1 gift. In this case the answer to out stimulus will each family member initially does not receive more than 1 gift, however if we take the number of gifts to be 6 and the number of members to be 2, then initially each gets 3 gifts each but when we double it to 4, then not all will get atleast 1 gift. In this case we can see that each family member initially receives more than 1 gift.
Say there are 20 gifts and 20 members initially, so each member gets 1 gift, but now when we double the number of members of the family to 40 then not all will get atleast 1 gift. In this case the answer to out stimulus will each family member initially does not receive more than 1 gift, however if we take the number of gifts to be 6 and the number of members to be 2, then initially each gets 3 gifts each but when we double it to 4, then not all will get atleast 1 gift. In this case we can see that each family member initially receives more than 1 gift.
29 Jun 2022, 19:28
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Esther is giving Christmas presents to her family members. Each family member gets the same number of presents and no presents were leftover. If each family member gets at least one present, did each family member receive more than one present?
(1) Esther has forty Christmas presents to give out. - Statement 1 is clearly insufficient, for we don't know the number of members.
(2) If the number of family members were doubled, it would not be possible for each family member to get at least one present -
Ok, let's consider a case.
Let the number of family members be 10 and the number of gifts be 15. The statement says that if the number of faimly member is doubled (So, the number of family member becomes 20), Everyone won't receive a give. Some would be left out. And the case that we took fits very well. 20 members won't be able to share the 15 gifts while ensuring that each member gets a gift. Hence when considering with 10 people and dividing 15 gifts among then, not all the members gets more than one. There will always be individuals limited to just one gift. - Hence, this one is sufficient.
Therefore B.
Correct me if I am wrong.
(1) Esther has forty Christmas presents to give out. - Statement 1 is clearly insufficient, for we don't know the number of members.
(2) If the number of family members were doubled, it would not be possible for each family member to get at least one present -
Ok, let's consider a case.
Let the number of family members be 10 and the number of gifts be 15. The statement says that if the number of faimly member is doubled (So, the number of family member becomes 20), Everyone won't receive a give. Some would be left out. And the case that we took fits very well. 20 members won't be able to share the 15 gifts while ensuring that each member gets a gift. Hence when considering with 10 people and dividing 15 gifts among then, not all the members gets more than one. There will always be individuals limited to just one gift. - Hence, this one is sufficient.
Therefore B.
Correct me if I am wrong.
