7. How many different nine digit numbers can be formed from the number 22,33,55,888 by rearranging its digits so that the odd digits occupy even positions ?
(a) 16 (b) 4 (c) 60 (d) 5
8. The number of arrangements that can be made out of the letter of the word " SUCCESS " so that the all S's do not come together is
(a) 60 (b) 120 (c) 360 (d) 420
9. If the coefficient of the 5th, 6th and 7th terms of the expansion of (1+x)nare in A.P then the value of n may be _______
(a) 5 (b) 6 (c) 7 (d) 8
10. The number of numbers greater than 3000, which can be formed by using the digits 0,1,2,3,4,5 without repetition is _______
(a) 1240 (b) 1280 (c) 1320 (d) 1380
11. In a certain test ai students gave wrong answers to atleast i questions, where i= 1,2,3......k No student gave more than k wrong answers. The total number of wrong answers is _______
13. A five digit number divisible by 3 is to be formed using the digit 0,1,2,3,4,5 without repetition, The number of ways this can be done is _______
(a) 216 (b) 184 (c) 256 (d) 225
14. The maximum no. of points into which 4 circles and 4 straight lines intersect is _______
(a) 26 (b) 56 (c) 50 (d) 72
15. The sides AB,BC,CA of a triangle ABC have 3,4 and 5 interior points respectively on them the total no. of triangle that can be constructed by using these points as vertices is _______
(a) 220 (b) 204 (c) 205 (d) 195
16. Seven different teachers are to deliver lectures in seven periods of a class on a particular day. A,B and C are three of the teachers. The no.of ways in which a routine for the day can be made such that A delivers his lacture before B and B before C is _______
(a) 420 (b) 120 (c) 210 (d) none of these
31. A car will hold 2 in the front seat and 1 in the rear seat.If among 6 persons 2 can drive, than no. of ways in which the car can be filled is _______
(a) 10 (b) 20 (c) 30 (d) 40
32. ABCD is a convex quadrilateral. 3,4,5 and 6 points are marked on the sides AB,BC,CD and DA resp. The no.of triangles with vertices on different sides are _______
(a) 270 (b) 220 (c) 282 (d) 342
33. In chess championship 153 games have been played. If a player with every other player plays only once, then the no. of players are _______
(a) 17 (b) 51 (c) 18 (d) 35
35. In a certain test there are n questions. In this test 2k students gave wrong answers to at least n-k question. k=0,1,2... n.If the no.of wrong answers is 4095 then value of n is _______
(a) 11 (b) 12 (c) 13 (d) 15
36. Let E={1,2,3,4}, F = {a,b} then the no. of onto function from E to F is _______
(a) 14 (b) 16 (c) 12 (d) 32
37. A class contain 4 boys and g girls every sunday 5 students including at least 3 boys go for a picnic to doll house, a different group being sent every week. during the picnic the class techer gives each
girl in the group a doll . If the total no. of dolls distributed was 85, then value of g is _______
(a) 15 (b) 12 (c) 8 (d) 5
38. The no. of ways in which we can get a sum of the score of 11 by tossing three dices is _______
(a) 18 (b) 27 (c) 45 (d) 56
39. There are 3 set of parallel lines containing p lines, q lines and r lines resp. The greatest no. of parallelograms that can be formed by the system _______
44. The number of zeros at the end of 100! is _______
(a) 20 (b) 22 (c) 24 (d)26
45. The no. of five digit number that can be formed by using 1, 2, 3 only ,such that exactly three digit of the formed numbers are same is _______
(a) 30 (b) 60 (c) 90 (d) 120
46. The no.of ordered pairs of integers (x,y) satisfying the equation x2+6x+y2= 4is _______
(a) 2 (b) 4 (c) 6 (d) 8
52. 12 Persons are to be arranged to a round table, If two particular persons among them are not to be side by side, the total no,of arrangments is : _______
(a) 9(10!) (b) 2(10)! (c) 45(8!) (d) 10 !
53. Nandan gives dinner party to six guests.the no of ways in which they may be selected from ten friends if two of the friends will not attend the party together is: _______
(a) 112 (b) 140 (c) 164 (d) 146
54. The no, of straight lines that can be drawn out of 10 points of which 7 are collinear is _______
(a) 22 (b) 23 (c) 24 (d) 25
55. The no of ways of arranging the letters AAAAABBBCCCDEEF in a row when no two c’s are together is: _______
70. Ten different letters of an alphabet are given Words with 5 letters are formed from the given letters. The no, of words which have atleast one letter repeated is _______
(a) 69750 (b) 30240 (c) 9948 (d) 10680
71. 8 chairs are numbered 1 to 8 Two women and 3 men wish to occupy one chair each first the women choose the chairs marked, 1 to 4 then the men select from among the remaining chairs. The no, of seating arrangments is
(a) 1250 (b) 1360 (c) 1440 (d) 1560
72. There are 4 balls of different colours and 4 boxes of colours same as those of the balls. The no, of ways in which the balls, one in each box could be placed such that a ball does not go to a box of its own colour is _______
(a) 5 (b) 6 (c) 9 (d) 12
73. Let Tn denote the no of triangles which can be formed using the vertices of regular polygon of n sides if Tn+1 - Tn = 21, then n = ______
(a) 4 (b) 5 (c) 6 (d) 7
74. The no of 9 digit numbers formed using the digit 223355888 such that odd digits occupy even places is _______
(a) 16 (b) 36 (c) 60 (d) 80
94. The number of times the digits 3 will be written when listing the integers from 1 to 1000 is _______
(a) 269 (b) 300 (c) 271 (d) 302
95. The number of ways of distributing 52 cards among four players so that three players have 17 cards each and the fourth player has just one card is _______
96. In a circus there are 10 cages for accomodating 10 animals out of these 4 cages are so small that five out of ten animals can not enter into them.In how many ways will it be possible to accomodate 10 animals in these 10 cages?
(a) 66400 (b) 86400 (c) 96400 (d) 46900
97. The number of 4 digits number which do not contain 4 different digit is _______
(a) 2432 (b) 3616 (c) 4210 (d) 4464
98. A man has 7 relative, 4 of them ladies and 3 gentleman. his wife also have 7 relatives. 3 of them ladies and 4 gentlemen, They invite for a dinner partly 3 laddies and 3 gentlemen so that there are 3 of the men's relative and 3 of the wife's relative. The number of ways of invitation is _______
(a) 854 (b) 585 (c) 485 (d) 548
99. Find the number of chords that can be drawn through 16 points on a circle.
(a) 102 (b) 120 (c) 12 (d) 16p2
100. The number of arrangements of two letter of the words "BANANA" in which two of N's do not apper adjacently is _______
(a) 40 (b) 60 (c) 80 (d) 100
101. The number of the factors of 20! is _______
(a) 4140 (b) 41040 (c) 4204 (d) 81650
ANSWERS
