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1. There are 6 balls of different colours
and 3 boxes of different sizes. Each box can hold all the 6 balls. The balls
are put in the boxes so that no box remains empty. The number of ways in which
this can be done is:

(a) 534
(b) 543                 (c) 540                 (d) 528

2. On a railway there are ten (10) stations. The
number of types of tickets required in order that it may be possible to book a
passenger from every station to every other is?

a.10! / 2!                    b. 10! * 2!                     c. 10!/8!                  d. 10!/8! 2!

3. The number of ways in which the letters
of the word “ARGUMENT” can be arranged so that only consonants occurs at both
the ends is:

(a) 3!*5!                     (b) 14400               (c) 41000                     (d) none of these

4. The number of ways in which the digits of the
number 125453752 can be arranged such that no two 5’s come together is:

(a) 9! * 3! * 2!                  (b) 7! * 3! * 2!                    (c) 6! * 2!                    (d) None of these

5. If 2^(x -1) + 2^(x+1) = 320, then the value of x is

(a) 4                      (b) 5                    (c) 6                      (d) 7

6. After a typist had written ten letters
inserted the letters in the envelopes at random, one letter per envelop. What
is the probability that exactly nine letters were inserted in proper envelop?

(a) ½                   (b) 1                 (c) 0                 (d) 9/10

7. In a 26 question test, five points were
deducted for each wrong answer and eight points were credited for, each correct
answer. If all the questions were answered how many were correct if the score
was zero?

(a) 13                 (b) 6                  (c) 9                    (d) 10

8. There are n players in an elimination
type singles tournament. How many matches must be played (or defaulted to
determine the winner).

(a) n + 1             (b) n -1                   (c) n – 2                   (d) n + 2

9. If -1

(a) 0                    (b) -3                      (c) -4                         (d) -5

10. When n is divided by 4, the remainder is 3. What
is the remainder when 2n is divided by 4?

(a) 1                    (b) 2                (c) 3                   (d) 6