CAT Exam

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

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CAT Other Question

Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X, Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is
(1) 780
(2) 800
(3) 820
(4) 741 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