CAT4MBA

Q1. The sum of two positive integer quantities is equal to 2n. The probability that their product is not less than 3/4 times their greatest product is
a. 1/2
b. 1/3
c. 2/3
d. 1/4

Q2. If the integer a and b are chosen at random between 1 and 100, then the probability that a number of the form 7^a + 7^b is divisible by 5 is?
a. 1/5
b. 1/7
c. 1/4
d. 1/49

Q3. A contest of predicting the result (win, draw, loss) of 10 cricket matches is conducted. What is the probability that an entry contains at least 9 correct answers?
a. 20/3^10
b. 7/3^9
c. 13/3^8
d. None of these

Q4. Triangles are formed by joining vertices of an octagon. Any one of those triangles is selected at random. What is the probability that the selected triangle has no side common with the octagon?
a. 3/7
b. 2/7
c. 5/7
d. 1/7

Q5. 100 identical coins each with probability P showing up heads are tossed once. If 0 < P < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of P is
a. 1/101
b. 49/101
c. 50/101
d. 51/101

Q6. 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

Q7. What is the probability that a number selected from the numbers, 1, 2, 3, . . . . . .  .14, 25 is a prime number, when each of the given numbers are equally likely to be selected?
a. 8/25
b. 9/25
c. 1/9
d. 11/25