Question: Count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6?
Options:
(A) One
(B) Three
(C) Two
(D) Five
(E) Four Random thoughts:
Answer = E) Four
Numbers between 10 - 99 giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93
The above Numbers giving remainder 1 when divided by 6 = 13, 37, 61, 85 = 4 The final answer: (E).