1) How many 4 letter words can be formed out of 7 capital letters, 3 vowels and 5 consonants if each word starts with a capital letter and contains atleast one vowel ?
A. 1900 words
B. 1832 words
C. 1932 words
D. 1800 words
2) In how many ways 8 delegates of 8 states can be seated in a round table conference so that 4 particular delegates always sit together ?
A. 432 ways
B. 576 ways
C. 256 ways
D. 536 ways
3) Find the number of ways of distributing 6 different balls into 4 identical baskets such that there is atleast one ball in each basket.
A. 40 ways
B. 55 ways
C. 65 ways
D. 50 ways
4) How many 3-digit numbers exist such that the digits are in an increasing order from left to right ?
A. 86
B. 82
C. 85
D. 84
5) A 5-digit number is formed using the digits 1, 3, 5, 7 and 9 without repeating one of them. What is the sum of all such possible numbers ?
A. 666600
B. 666000
C. 666660
D. 666666
6) There are 6 stops between Kota and Bikaner. How many types of tickets should be printed to service all kinds of passengers travelling either way on the bus ?
A. 64 types
B. 42 types
C. 56 types
D. 64 types
7) In how many ways can a family consisting of a father, a mother and 8 siblings (4 boys, 4 girls) sit around a circular table such that the parents sit together and males and females are alternate ?
A. 1152 ways
B. 1200 ways
C. 1000 ways
D. 1176 ways
8) There are 6 boxes numbered 1, 2, 3, 4, 5, 6. Each box is to be filled up either with red or green ball in such a way that atleast 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total no. of ways in which this can be done is ?
A. 25 ways
B. 21 ways
C. 18 ways
D. 16 ways
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