CAT4MBA

Q1. A five-digit number is formed using digits 1, 3, 5, 7 and 9 without repeating any one of them. What is the sum of all such possible numbers? (CAT 93)
a. 6666600
b. 6666660
c. 6666666
d. None of these

Q2.  Boxes numbered 1, 2, 3, 4 and 5 are kept in a row, and they which are to be filled with either a red or blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given color are exactly identical in all respects? (CAT 95)
a. 8
b. 10
c. 15
d. 22

Q3. A, B, C and D are four towns, any of three which are non-collinear. Then, the number of ways to construct three roads each joining a pair of towns so that the roads do not form a triangle is : (CAT 95)
a. 7
b. 8
c. 9
d. 24

Q4. A man has 9 frinds : 4 boys and 5 girls. In how many ways can he invite them, if there have to be exactly 3 girls in the invitees? (CAT 96)
a. 320
b.160
c. 80
d. 200

Q5. In how many ways can eight directors, Vice-chairman and Chairman of a firm be seated at a round table, if the Chairman has to sit between the Vice-chairman and a director? (CAT 97)
a. 9! X 2
b. 2 x 8!
c. 2 x 7!
d. None of these

Q6. How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), which the digit at the unit’s place must be greater than that in the ten’s place?  (CAT 98)
a. 54
b. 60
c. 51/3
d. 2 x 4!

Q7. Five – digit numbers are formed using only 0, 1, 2, 3, 4 exactly once. What is the difference between the greatest and smallest numbers that can be formed? ( CAT 98)
a. 19800
b. 41976
c. 32976
d. None of these