In this series, each number is repeated, then 12 is subtracted to arrive at the next number.
Look at this series: 53, 53, 41, 41, 29, 29, ... What number should come next?
Options:
(A) A) 12
(B) B) 14
(C) C) 27
(D) D) 53
(E) E) 17
(E)

Fix the third coin as H. The remaining 14 coins have 2^14 outcomes.
Fifteen coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^9
(B) 2^14
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10
(B)

Largest 4 digit number is 999
After doing 999 ÷ 89 we get remainder 20
Hence largest 3 digit number exactly divisible by 89 = 999 - 20 = 979

Calculate the largest 3 digit number which is exactly divisible by 89?
Options:
(A) 911
(B) 969
(C) 979
(D) 977
(E) 971
(C)