Q1. If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form 7^m + 7^n is divisible by 5 is ?
a. 1/5
b. 1/7
c. 1/4
d. 1/49

Q2. Out of 13 applications for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman is:
a. 25/39
b. 31/65
c. 25/69
d. 5/13

Q3. In Yaku Taku game of the cards, 52 cards are equally divided among four players. The player who deals the cards takes his 13 cards first and distributes the remaining cards by giving one card at a time to each of the remaining in clockwise direction. Then the probability that the dealer gets 13 cards of the same suit is

Q4. Three balls in succession are drawn, without replacement, from a bag containing 8 black, 8 white and 8 red balls. If a prize of Rs.5 is awarded for drawing no black balls, what is the expectation ?
a. 1.38
b. 2.75
c. 0.43
d. 1.29

Q5. The probability of a number n showing in a throw of a dice marked 1 to 6 is proportional to n, then the probability of the number 3 showing in throw is
a. 1/2
b. 1/6
c. 1/7
d. 1/21

Q6.A bag contains 4 black and 8 white balls.  A ball is drawn at random from the bag, its colour noted and then it is replaced.  The process is then repeated.  What is the probability that the ball was the same colour on both occasions?