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09 Jun 2016, 20:48
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x+y=?
ANS:We can modify the original condition and the question. If line A and line D are parallel, x+y=180. However, since conditions do not state that line A and line D are parallel to each other, the correct answer is E.
ANS:We can modify the original condition and the question. If line A and line D are parallel, x+y=180. However, since conditions do not state that line A and line D are parallel to each other, the correct answer is E.
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05 Jul 2016, 21:12
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If a and b are non-negative integers, ab=?
1) 9^a=3^b
2) 5^a=2^b
ANS: From the original condition, there are 2 variables. Hence, there is a high chance that C is the correct answer. However, since this is an integer question, one of key questions, we should apply the common mistake type 4(A). From con 1), we get 2a=b. The answer is not unique and the condition is not sufficient. In case of con 2), we get a=b=0. The answer is unique and the condition is sufficient. Hence, the correct answer is B.
1) 9^a=3^b
2) 5^a=2^b
ANS: From the original condition, there are 2 variables. Hence, there is a high chance that C is the correct answer. However, since this is an integer question, one of key questions, we should apply the common mistake type 4(A). From con 1), we get 2a=b. The answer is not unique and the condition is not sufficient. In case of con 2), we get a=b=0. The answer is unique and the condition is sufficient. Hence, the correct answer is B.
06 Jul 2016, 16:50
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If x, y are positive integers, what is the remainder when 2^(8x+y) is divided by 5?
1) x=1
2) y=2
ANS: From the original condition, there are 2 variables (x and y). In order to match the number of variables and the number of equations, we need 2 equations. Hence, there is a high chance that C is the correct answer. However, even though C is indeed the correct answer, since it is an integer question, one of the key questions, we have to apply the common mistake type 4(A). From the condition 2), the remainder of 2^(8x+y) is always 4. Hence, it is sufficient and the correct answer is B.
1) x=1
2) y=2
ANS: From the original condition, there are 2 variables (x and y). In order to match the number of variables and the number of equations, we need 2 equations. Hence, there is a high chance that C is the correct answer. However, even though C is indeed the correct answer, since it is an integer question, one of the key questions, we have to apply the common mistake type 4(A). From the condition 2), the remainder of 2^(8x+y) is always 4. Hence, it is sufficient and the correct answer is B.
