utin wrote:
Bunuel wrote:
jananijayakumar wrote:
A number of oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one orange. If there are 20 oranges to be distributed, what is the number of oranges per basket?
(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.
(2) If the number of baskets were doubled, it would no longer be possible to place at least one orange in every basket.
Given: \(\frac{20}{b}=integer=x\), basically we are told that # of baskets, \(b\), is a factor of 20, so \(b\) could be: 1, 2, 4, 5, 10, or 20.
(1) \(\frac{20}{\frac{b}{2}}=2x\) --> \(\frac{20}{b}=x\), the same info as in stem (only one possible values of \(b\) is excluded: 1, as if \(b=1\) it can not be halved). Not sufficient.
(2) \(2b>20\) --> only one value of \(b\) satisfies this: \(b=20\). Sufficient.
Answer: B.
I am unable to understand this problem and solution!!!
I agree with you that the wording is quite ambiguous.
Intended meaning of the question is as follows:
1. there are 20 oranges \(b\) baskets;
2. These 20 oranges COULD be evenly (equally) distributed among these \(b\) baskets, so the number of baskets is a factor of 20: 1, 2, 4, 5, 10, or 20;
Question: "what is the number of oranges per basket" or \(\frac{20}{b}=?\) So we should find the # of baskets.
(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket --> just tells us that # of baskets is even as it can be halved, everything else we knew before: obviously if you halve the number of baskets then each basket will contain twice as many oranges as before. So number of baskets is: 2, 4, 10, or 20. Not sufficient.
(2) If the number of baskets were doubled, it would no longer be possible to place at least one orange in every basket --> twice the number of baskets is more than 20 --> only \(b=20\) satisfies this, so we have 20 baskets. Sufficient.
Answer: B.
Hope it's clear.