CAT4MBA

Q1. In how many ways can 8 persons be seated at a round table so that all shall not have the same neighbor in any two arrangements ?
a. 7! X 2!
b. 5040
c. 2520
d. None of these

Q2.  A is the set of first 10 consecutive natural numbers. Find the maximum number of ways in which a sub set B can be formed out of set A such that the sum of all the elements in B is odd, given that the number of odd elements in set B is 3 ?
a. 352
b. 507
c. 320
d. 512

Q3. How many 10 digits numbers can be written by using the digits 1and 2?
a. C (10, 1) + C (9, 2)
b. 210
c. C (10, 2)
d. 10!

Q4. The number of integral solutions for the equation a1 + a2 + a3 + a4 =  12, where (a1, a2, a3, a4 )>= -1 is
a. C (19, 3)
b. C (18, 4)
c. C (20, 4)
d. None of these

Q5. How many different signals can be given using any number of flags from six flags of different colors?
a.  1940
b. P(6, 1) +   P(6, 2) + . . . . . . .+ P(6, 6)
c. 1956
d. Both b and c

Q6. Consider S = {1, 2, 3. . .10 }. In how many ways the two numbers from S can be selected so that the sum of the numbers selected is a double digit number
a. 36
b. 16
c. 29
d. C(9,2) – C(5,2)

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

Q8. There are 15 points in a plane of which 8 of them are on a straight line. Then how many triangles can be formed?
a. 399
b. 400
c. 234
d. 72