If 10 and 8 are factors of Q, which of the following is the largest nu

Question

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

acarpio1 · Answer

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

mathiaskeul · Answer

LCM is 40, of which the highest even divisible number is 40. Hence B.

Abhishek009 · Answer

Just posting different approach to the problem

Least possible value of Q = 80

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

Options are given

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)

KS15 · Answer

Answer B-From the given options, only 40 is divisible by both 8 and 10

CV7585 · Answer

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.

stonecold · Answer

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.

ScottTargetTestPrep · Answer

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

If 10 and 8 are factors of Q, which of the following is the largest nu

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

If 10 and 8 are factors of Q, which of the following is the largest nu

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards