KVPY Government Jobs Exams

Let Σ=
=
n
k 1
Sn k denote the sum of the first n positive integers. The numbers S1, S2, S3,…S99 are written on 99
cards. The probability of drawing a card with an even number written on it is

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KVPY Other Question

Let [x] and {x} be the integer part and fractional part of a real number x respectively. The value of the integral [x]{x}dx is A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A
purse is chosen randomly and a coin is taken out of it. What is the probability that it is a copper coin