CAT Exam

Let S be the set of five digit numbers formed by the digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd positions are occupied by odd digits. What is the sum of the digits in the rightmost position of the numbers in S?
(1) 228
(2) 216
(3) 294
(4) 192

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CAT Other Question

The digits of a three digit number A are written in the reverse order to form another three digit number B. If B > A and B − A is perfectly divisible by 7, then which of the following is necessarily true?
(1) 100 < A < 299
(2) 106 < A < 305
(3) 112 < A < 311
(4) 118 < A < 317
The rightmost non zero digit of the number 30^2720 is
(1) 1
(2) 3
(3) 7
(4) 9