Q1. The number of positive integral solutions of xyz = 30 is
a. 27
b. 81
c. 243
d. None of  these

Q2. In a test of 10 multiple choice questions of one correct answer, each having 4 alternative answers, then the number of ways to put ticks at random for the answers to all the questions is
a. 4^10
b. 10^4
c. 4^10 – 4
d. 10^4 – 10

Q3. There are 15 points in a plane of which 8 of them are on a straight line. Then how many straight lines can be formed?
a. 105
b. 21
c. 78
d. 288

Q4. In how many ways can 120 students be divided into 3 sections of 30, 40, 50 each
a. 120!
b. 30 x 40 x 50
c. 30! x 40! x 50!
d. None of these

Q5. A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. The probability that the red ball being selected is the smallest red ball, is
a. 1/18
b. 1/3
c. 1/6
d. 2/3

Q6. A student is allowed to select at most x books ( x > 0) from a collection of (2x + 1) books. If the total number of ways in which he can select a book is 63, find the value of x?
a. 3
b. 4
c. 5
d. 6

Q7. The number of ways of selecting  10 balls out of an unlimited number of white, red, blue and green balls is :
a. 268
b. 286
c. 246
d. 468