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E
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Question Stats:
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11%
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Sally gave some of her candy to her friends. How many pieces of candy did she have before giving any to her friends?
(1) Sally gave each friend 8 pieces of candy
(2) Sally had 7 pieces of candy left after giving candy to her friends.
ID 06831
(1) Sally gave each friend 8 pieces of candy
(2) Sally had 7 pieces of candy left after giving candy to her friends.
ID 06831
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16 Jan 2013, 10:10
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Sally gave some of her candy to her friends. How many pieces of candy did she have before giving any to her friends?
(1) Sally gave each friend 8 pieces of candy. Clearly insufficient.
(2) Sally had 7 pieces of candy left after giving candy to her friends. Also insufficient.
(1)+(2) If Sally gave candy to 2 of her friends, then she had 7+2*8=22 pieces of candy but if she gave candy to 3 of her friends, then she had 7+3*8=31 pieces of candy. Not sufficient.
Answer: E.
(1) Sally gave each friend 8 pieces of candy. Clearly insufficient.
(2) Sally had 7 pieces of candy left after giving candy to her friends. Also insufficient.
(1)+(2) If Sally gave candy to 2 of her friends, then she had 7+2*8=22 pieces of candy but if she gave candy to 3 of her friends, then she had 7+3*8=31 pieces of candy. Not sufficient.
Answer: E.
PrashantPonde
Joined: 27 Jun 2012
Last visit: 29 Jan 2025
Posts: 311
Given Kudos: 185
Concentration: Strategy, Finance
Schools: Haas EWMBA '17
16 Jan 2013, 10:18
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Consider X be total number of candies Sally had before giving any to her friend. We need to find X.
1) sally gave each friend 8 pieces of candy
INSUFFICIENT: We dont know number of friends and how many pieces are left after distributing the candies:
If there are 2 friends and 2 candies were left then X = 2*8+2=18
If there are 3 friends and 2 candies were left then X = 3*8+2=26
2) sally had 7 pieces of candy left after giving candy to her friends.
INSUFFICIENT: This choice doesn't tell number of friends and how many pieces she distributed per friend
If there are 2 friends and 1 candy was given per friend then X = 2*1+7= 9
If there are 3 friends and 1 candy was given per friend then X = 3*1+7= 10
Combining (1) & (2): gave each friend 8 pieces of candy & 7 pieces of candy left after distribution:
INSUFFICIENT: Even after combining we dont know the number of friends.
If there are 2 friends then x = 2*8+7= 23
If there are 3 friends then x = 3*8+7= 31
We cannot identify x (No. of pieces of candy Sally has) using any of above statements or combined.
Hence choice(E) is the answer.
1) sally gave each friend 8 pieces of candy
INSUFFICIENT: We dont know number of friends and how many pieces are left after distributing the candies:
If there are 2 friends and 2 candies were left then X = 2*8+2=18
If there are 3 friends and 2 candies were left then X = 3*8+2=26
2) sally had 7 pieces of candy left after giving candy to her friends.
INSUFFICIENT: This choice doesn't tell number of friends and how many pieces she distributed per friend
If there are 2 friends and 1 candy was given per friend then X = 2*1+7= 9
If there are 3 friends and 1 candy was given per friend then X = 3*1+7= 10
Combining (1) & (2): gave each friend 8 pieces of candy & 7 pieces of candy left after distribution:
INSUFFICIENT: Even after combining we dont know the number of friends.
If there are 2 friends then x = 2*8+7= 23
If there are 3 friends then x = 3*8+7= 31
We cannot identify x (No. of pieces of candy Sally has) using any of above statements or combined.
Hence choice(E) is the answer.
