If x is an even integer, which of the following is an odd integer?
(A) 3x + 2
(B) 7x
(C) 8x +5
(D) x^2
(E) x^3
Answer: C
Source: Official guide
If x is an even integer, which of the following is an odd integer?
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Hi All,
We're told that X is an EVEN integer. We're asked which of the following is an ODD integer? This question can be solved with Number Properties or TESTing VALUES.
IF... X = 2, then the answer become....
(A) 3x + 2 = 3(2) + 2 = 6+2 = 8 NOT Odd
(B) 7x = 7(2) = 14 NOT Odd
(C) 8x +5 = 8(2) + 5 = 21 This IS Odd
(D) x^2 = (2)^2 = 4 NOT Odd
(E) x^3 = (2)^3 = 8 NOT Odd
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
We're told that X is an EVEN integer. We're asked which of the following is an ODD integer? This question can be solved with Number Properties or TESTing VALUES.
IF... X = 2, then the answer become....
(A) 3x + 2 = 3(2) + 2 = 6+2 = 8 NOT Odd
(B) 7x = 7(2) = 14 NOT Odd
(C) 8x +5 = 8(2) + 5 = 21 This IS Odd
(D) x^2 = (2)^2 = 4 NOT Odd
(E) x^3 = (2)^3 = 8 NOT Odd
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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With questions like this, we can apply RULES related to odds and evens (as skywalker18 did), or we can just PLUG IN an even value for x.BTGModeratorVI wrote: ↑Tue Mar 31, 2020 5:11 amIf x is an even integer, which of the following is an odd integer?
(A) 3x + 2
(B) 7x
(C) 8x +5
(D) x^2
(E) x^3
Answer: C
Source: Official guide
The easiest value to plug in is 0
(A) 3(0) + 2 = 2 EVEN - ELIMINATE A
(B) 7(0) = 0 EVEN - ELIMINATE B
(C) 8(0) +5 = 5 ODD. DONE!!!
Answer: C
For "kicks" let's keep going (although, on test day, we would select C and move onto the next question.
(D) 0^2 = 0 EVEN - ELIMINATE D
(E) 0^3 = 0 EVEN - ELIMINATE E
Cheers,
Brent
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If x is an even integer, then kx and x^k (where k is a positive integer) will also be even. We can eliminate choices B, D, and E. Since even + even = even, and even + odd = odd, we see that choice A is even and choice C is odd. Thus, choice C is the correct answer.BTGModeratorVI wrote: ↑Tue Mar 31, 2020 5:11 amIf x is an even integer, which of the following is an odd integer?
(A) 3x + 2
(B) 7x
(C) 8x +5
(D) x^2
(E) x^3
Answer: C
Source: Official guide
Answer: C
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