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03 Feb 2015, 18:17
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Are the integers a, b and c consecutive?
(1) b - a = c - b
(2) The average of a, b and c is equal to b.
(1) b - a = c - b
(2) The average of a, b and c is equal to b.
03 Feb 2015, 21:03
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Hi kdatt1991,
These types of DS questions are perfect for TESTing VALUES. You can also do a bit of Algebra with the information in each of the 2 facts (which will provide a nice shortcut, saving you time and effort).
We're told that A, B and C are all INTEGERS. We're asked if they're consecutive. This is a YES/NO question.
Fact 1: B- A = C - B
You can rewrite this equation as...
2B = A + C
IF....
A = 0
B = 2
C = 4
Then the answer to the question is NO
IF...
A = 1
B = 2
C = 3
Then the answer to the question is YES.
Fact 1 is INSUFFICIENT
Fact 2: The average of A, B and C is equal to B
You can rewrite this information into the following equation:
(A+B+C)/3 = B
A+B+C = 3B
A + C = 2B
Notice how this is the SAME equation that we had in Fact 1 (above). The same TESTs we used in Fact 1 can be used here (and will get us the same NO and YES answers).
Fact 2 is INSUFFICIENT
Combined, we have the same equation in both Facts:
A + C = 2B
And we have TESTs that give us different answers (a NO and a YES).
Combined, INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
These types of DS questions are perfect for TESTing VALUES. You can also do a bit of Algebra with the information in each of the 2 facts (which will provide a nice shortcut, saving you time and effort).
We're told that A, B and C are all INTEGERS. We're asked if they're consecutive. This is a YES/NO question.
Fact 1: B- A = C - B
You can rewrite this equation as...
2B = A + C
IF....
A = 0
B = 2
C = 4
Then the answer to the question is NO
IF...
A = 1
B = 2
C = 3
Then the answer to the question is YES.
Fact 1 is INSUFFICIENT
Fact 2: The average of A, B and C is equal to B
You can rewrite this information into the following equation:
(A+B+C)/3 = B
A+B+C = 3B
A + C = 2B
Notice how this is the SAME equation that we had in Fact 1 (above). The same TESTs we used in Fact 1 can be used here (and will get us the same NO and YES answers).
Fact 2 is INSUFFICIENT
Combined, we have the same equation in both Facts:
A + C = 2B
And we have TESTs that give us different answers (a NO and a YES).
Combined, INSUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
General Discussion
03 Feb 2015, 19:23
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Bookmarks
When testing cases, the only constraint is a, b, and c must be integers, so it's a good idea to test positives/negatives and odds/evens.
Statement 1: [INSUFFICIENT]
Test 1 (1,2,3) => 2-1 = 3-2 => 1=1 True
Test 2 (-1,2,5) => 2-(-1) = 5-2 => 3=3 Also True
Statement 2: [INSUFFICIENT]
Test 1 (1,2,3) => average = (1+2+3)/3 = 6/3 = 2 True
Test 2 (2,4,6) => average = (2+4+6)/3 = 12/3 = 4 Also True
E is the correct answer.
Statement 1: [INSUFFICIENT]
Test 1 (1,2,3) => 2-1 = 3-2 => 1=1 True
Test 2 (-1,2,5) => 2-(-1) = 5-2 => 3=3 Also True
Statement 2: [INSUFFICIENT]
Test 1 (1,2,3) => average = (1+2+3)/3 = 6/3 = 2 True
Test 2 (2,4,6) => average = (2+4+6)/3 = 12/3 = 4 Also True
E is the correct answer.
