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30 Dec 2020, 03:00
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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:
5%
(low)
Question Stats:
93% (00:38) correct
7%
(00:42)
wrong
based on 58
sessions
History
Date
Time
Result
Not Attempted Yet
If x/3, x/7, and x/9 are all positive integers, what is the least possible value of x ?
(A) 21
(B) 27
(C) 36
(D) 63
(E) 189
(A) 21
(B) 27
(C) 36
(D) 63
(E) 189
30 Dec 2020, 03:16
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Bunuel
We need an integer which is divisible by 3,7, and 9(3^2).
The smallest such number will be 9*7 = 63(Option D)
30 Dec 2020, 03:35
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Given
To Find
Approach and Working Out
Correct Answer: Option D
- • \(\frac{x}{3}\), \(\frac{x}{7}\), and \(\frac{x}{9}\) are all positive integers.
To Find
- • The least possible value of x.
Approach and Working Out
- • Each term must be an integer.
- o So, x must be a multiple of all the denominators.
o x is the common multiple of 3, 7, and 9. That is 63.
o Least such value will be the LCM.
Correct Answer: Option D
