CAT4MBA

Q1. A cricket selection committee has to select 5 players from two teams A and B, each having 7 players. But more than 3 players cannot be selected from one team. In how many ways can this can be done?
a. 200
b. 1470
c. 5880
d. 100

Q2. Ramesh had forgotten his friends seven-digit telephone number. He remembers the following: the first three digits are either 535 or 553, the number is even and the digit eight appears once. If Ramesh were to use trial and error method to reach his friends, what is the minimum number of trials he has to make before he can be certain to succeed?
a. 3402
b. 2401
c. 3944
d. 4400

Q3. In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match?
a. 72
b. 108
c. 36
d. 84

Q4. Among three identical boxes, 10 identical balls have to be distributed. In how many ways can this be done such that every box has at least 2 balls?
a. 16
b. 81
c. 15
d. None of these

Q5. Maximum number of points of intersection of  6 straight lines is
a. 30
b. 28
c. 15
d. None of these

Q6. Twelve persons are arranged in a row. The number of ways of selecting four persons so that no two persons sitting next to each other are selected is:
a. 124
b. 136
c. 126
d. None of these

Q7. Find the total number of possible outcomes when three fair identical dice are rolled?
a. 156
b. 51
c. 36
d. 56

Q8. Ten persons want to cross a river by a boat which can carry a maximum of six persons at a time. If the boat is to be used only for two round trips then in how many ways can these persons cross the river, if no one returns back after crossing the river?
a. 420
b. 462
c. 672
d. 924