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20 Jul 2017, 18:43
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When n is divided by 4, what is the remainder?
1) When n is divided by 3, the remainder is 1
2) When n+1 is divided by 4, the remainder is 2
==> In the original condition, there is 1 variable (n) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For remainder questions, you can directly substitute. Therefore, for con 1), from n=3p+1=1,4,…, the remainder when divided by 4 becomes 1=4(0)+1, which makes remainder=1, and from 4=4(1)+0, you get remainder=0, hence it is not unique and not sufficient. For con 2), from n+1=4q+2 and n=4q+1, the remainder when divided by 4 always becomes 1, hence it is unique and sufficient.
Therefore, the answer is B.
Answer: B
1) When n is divided by 3, the remainder is 1
2) When n+1 is divided by 4, the remainder is 2
==> In the original condition, there is 1 variable (n) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For remainder questions, you can directly substitute. Therefore, for con 1), from n=3p+1=1,4,…, the remainder when divided by 4 becomes 1=4(0)+1, which makes remainder=1, and from 4=4(1)+0, you get remainder=0, hence it is not unique and not sufficient. For con 2), from n+1=4q+2 and n=4q+1, the remainder when divided by 4 always becomes 1, hence it is unique and sufficient.
Therefore, the answer is B.
Answer: B
23 Jul 2017, 18:32
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Is 3x greater than x-6?
1) x is greater than -4
2) x is greater than 0
==> If you modify the original condition and the question, you get 3x>x-6?, 2x>-6?, x>-3?. There is 1 variable (x) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), from x>-4, the range of the question doesn’t include the range of the condition, hence it is not sufficient.
For con 2), from x>0, the range of the question includes the range of the condition, hence it is sufficient.
Therefore, the answer is B.
Answer: B
1) x is greater than -4
2) x is greater than 0
==> If you modify the original condition and the question, you get 3x>x-6?, 2x>-6?, x>-3?. There is 1 variable (x) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), from x>-4, the range of the question doesn’t include the range of the condition, hence it is not sufficient.
For con 2), from x>0, the range of the question includes the range of the condition, hence it is sufficient.
Therefore, the answer is B.
Answer: B
26 Jul 2017, 18:16
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Is u>w?
1) u=∣w∣
2) w=∣u∣
==> For con 2), w=|u|≥u for all u is established, so you get w≥ur, which is always no and sufficient.
Therefore, the answer is B.
Answer: B
1) u=∣w∣
2) w=∣u∣
==> For con 2), w=|u|≥u for all u is established, so you get w≥ur, which is always no and sufficient.
Therefore, the answer is B.
Answer: B
