How many two-digit numbers yield a remainder of 1 when divided by both 4 and 14?
A. 0 B. 1 C. 2 D. 3 E. 4
(D) Let’s use n to denote a two-digit number that fits the requirement in the question.
Since we are looking for a remainder of 1 when n is divided by 4 or 14, then (n – 1) must be divisible by both 4 and 14. All numbers divisible by both 4 and 14 must be divisible by their least common multiple, which is 28.
So n – 1 can equal any two-digit multiple of 28. These possible values are: n – 1 = 28, 56, or 84.
Therefore, n = 29, 57, or 85 (3 different two-digit numbers).
The correct answer is choice (D). ----------
43 is also another number that yeild a remainder of 1 when divided by both 4 and 14. So the answer should be D.
Users browsing this forum: No registered users and 1 guest
You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot post attachments in this forum
GMAT(TM) and GMAT CAT (TM) are registered trademarks of the Graduate Management Admission Council(TM). The Graduate Management Admission Council(TM) does not endorse, nor is affiliated in any way with the owner or any content of this site.