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20 Feb 2020, 02:16
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:33) correct
35%
(01:51)
wrong
based on 185
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If cx - bx^3 = 0 where b and c are non-zero numbers, what is the value of b - c ?
(1) cx = c
(2) bx = b
(1) cx = c
(2) bx = b
20 Feb 2020, 07:38
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Bunuel
If cx - bx³ = 0 where b and c are non-zero numbers, what is the value of b - c ?
(1) cx = c
(2) bx = b
(1) cx = c
(2) bx = b
Given: cx - bx³ = 0
Target question: What is the value of b - c ?
Statement 1: cx = c
Since we know that c ≠ 0, we can safely divide both sides of the equation by c to get: x = 1
Now plug x = 1 into a given equation, cx - bx³ = 0
We get: c(1) - b(1³) = 0
Simplify to get: c - b = 0, which means c = b, which means b - c = 0
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: bx = b
Since we know that b ≠ 0, we can safely divide both sides of the equation by b to get: x = 1
Now plug x = 1 into a given equation to get: c(1) - b(1³) = 0
Simplify to get: c - b = 0, which means c = b, which means b - c = 0
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
General Discussion
shameekv1989
GMAT 3: 720 Q50 V38
Posts: 827
20 Feb 2020, 04:38
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Bunuel
If cx - bx^3 = 0 where b and c are non-zero numbers, what is the value of b - c ?
(1) cx = c
(2) bx = b
(1) cx = c
(2) bx = b
Since b and c can not equal 0
x = 1 in both the statements
Hence c-b will always be equal to 0 => Both statements Sufficient
Answer - D
