MBA Exam

Let S be the set of first 999 natural numbers. What is the smallest number n such that given any n distinct numbers from S, one can choose four different numbers x, y, z, k such that x + 2y + 3z = k?

1) 667
2) 835
3) No such value exists
4) None of these

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MBA Other Question

A bag contains six sticks of the following lengths 1 cm, 3 cm, 7 cm, 11 cm and 13 cm. three sticks are drawn at random from the bag. What is the probability that we can form a triangle with those sticks?Options are--

1) 11/20
2) 1
3) 1/4
4) 2/5
Easy One-A number when divided by 36 leaves a remainder 9.What could be the remainder when it is divided by 45?

1) 15
2) 18
3) 21
4) 24