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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
52% (02:48) correct
48%
(02:46)
wrong
based on 141
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If \(P=2^{(x^2+10x+72)}\) and \(Q=2^{(x^2+16x+54)}\), where x is a positive integer, such that the least common multiple of P and Q is P, then what is the number of values that x can take ?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Are You Up For the Challenge: 700 Level Questions
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Are You Up For the Challenge: 700 Level Questions
16 Jun 2022, 03:40
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In order to make sure that the least common multiple of P and Q is P,
x^2+10x+72>=x^2+16x+54 where x is a positive number.
=> 0<x<=3
x can be 1, 2, or 3.
the answer is (C).
x^2+10x+72>=x^2+16x+54 where x is a positive number.
=> 0<x<=3
x can be 1, 2, or 3.
the answer is (C).
07 Sep 2025, 08:38
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I hope this is helpful
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