CAT Exam

Let S be a set of positive integers such that every element n of S satisfies the conditions
a) 1000 ≤ n ≤ 1200 b) every digit in n is odd Then how many elements of S are divisible by 3?
(1) 9
(2) 10
(3) 11
(4) 12

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CAT Other Question

Rectangular tiles each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 110 cm by 130 cm, such that the tiles do not overlap. A tile can be placed in any orientation so long as its edges are parallel to the edges of the floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is
(1) 4
(2) 5
(3) 6
(4) 7
Let g(x) be a function such that g(x + 1) + g(x – l) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?
(1) 5
(2) 3
(3) 2
(4) 6