How many numbers between 100 and 300, inclusive, are multiples of both

Question

How many numbers between 100 and 300, inclusive, are multiples of both 5 and 6?

(A) 7
(B) 12
(C) 15
(D) 20
(E) 30

sb0541 · Answer

Question is asking how many numbers between 100 and 300 (inclusive) are multiples of 30 (LCM of 2, 3 and 5) .
Multiples are 120, 150, 180, 210, 240, 270, and 300 ==> Total of 7

Answer is A .

SeregaP · Answer

It is 300-100+1 (because "inclusive)=201
201/(5*6) as we want the number to be multiplied both by 5 and 6
201/30=6+1
Answer: 7 (A)

ScottTargetTestPrep · Answer

If a number is a multiple of both 5 and 6, then it is a multiple of 30. Thus we need to determine the number of multiples of 30 between 100 and 300 inclusive.

(largest multiple in the set - smallest multiple in the set)/30 + 1

(300 - 120)/30 + 1 = 7

Answer: A

ruis · Answer

30*12 = 360 so B,C,D,E are eliminated. Answer choice multipled by 30 must be less than or equal to 300

ManifestDreamMBA · Answer

Multiple of both 5 and 6 is LCM (5,6) = 30. 
Since upper range is 300, 300/30 = 10. The number of multiples has to be less than 10, and only option is then 7

How many numbers between 100 and 300, inclusive, are multiples of both

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

How many numbers between 100 and 300, inclusive, are multiples of both

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