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Bunuel
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If 10 and 8 are factors of Q, which of the following is the largest nu 18 Apr 2016, 01:04
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88% (00:50) correct 12% (01:05) wrong based on 99 sessions

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If 10 and 8 are factors of Q, which of the following is the largest number that must divide evenly into Q?

A. 12
B. 40
C. 50
D. 75
E. 100
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B
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If 10 and 8 are factors of Q, which of the following is the largest nu 18 Apr 2016, 09:19
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B. LCM of 8 and 10 = 40. Therefore the largest number that must be evenly divided into Q (when it is 40) is 40.
40/40=1
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If 10 and 8 are factors of Q, which of the following is the largest nu 18 Apr 2016, 10:44
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LCM is 40, of which the highest even divisible number is 40. Hence B.
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If 10 and 8 are factors of Q, which of the following is the largest nu 18 Apr 2016, 10:58
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Just posting different approach to the problem

Bunuel
If 10 and 8 are factors of Q,

Least possible value of Q = 80

Calling it least because the Maximum value of Q can be \(10^{number}\) x \(8^{number}\)


Bunuel
which of the following is the largest number that must divide evenly into Q?

Options are given

Quote:
A. 12
B. 40
C. 50
D. 75
E. 100

Now check using each option -


A. 12

80/12 Not divisible evenly

B. 40

80/40 = 2

C. 50

80/50 Not divisible evenly

D. 75

80/75 Not divisible evenly

E. 100

80/100 Not divisible evenly

Except (B) the minimum value of Q is not divisible by any of the options , so answer must be (B)
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If 10 and 8 are factors of Q, which of the following is the largest nu 18 Apr 2016, 10:59
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Bunuel
If 10 and 8 are factors of Q, which of the following is the largest number that must divide evenly into Q?

A. 12
B. 40
C. 50
D. 75
E. 100

Answer B-From the given options, only 40 is divisible by both 8 and 10
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If 10 and 8 are factors of Q, which of the following is the largest nu 18 Apr 2016, 18:58
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If 10 and 8 are factors of Q, which of the following is the largest number that must divide evenly into Q?

A. 12
B. 40
C. 50
D. 75
E. 100

Answer B.

Need to find the answer that is also divisible by 8 and 10. the only answer choice that does that is B.
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If 10 and 8 are factors of Q, which of the following is the largest nu 22 Jan 2017, 15:04
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Lcm of 8 and 10=40.
hence the least positive integer Q will b 40.
Thus highest number that can be a factor is 40.
Hence B.


-->
Notice Q can also be zero.
But then 0 is divisible by every post integer.Hence it is immaterial.
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If 10 and 8 are factors of Q, which of the following is the largest nu 25 Jan 2017, 11:14
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Bunuel
If 10 and 8 are factors of Q, which of the following is the largest number that must divide evenly into Q?

A. 12
B. 40
C. 50
D. 75
E. 100

Since 10 and 8 are factors of Q, Q is at least divisible by the least common multiple of 10 and 8, which is 40. Thus, the largest number that MUST divide into Q is 40.

Answer: B
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