QUADRATIC EQUATION- II

1. If nCr-1 = 36, nCr = 84 and nCr +1 = 126 then r =
a) 1 b) 2 c) 3 d) 4
2. If (n + 2) C8 : (n-2) P4 = 57 : 16 then n =
a) 16 b) 17 c) 18 d) 19
3. The number of ways in which 5 identical rings can be worn on four fingers is
a) 45 b) 54 c) 5C4 d) 5P4
4. The number of integers greater than 7000 that can be formed with the digits 3,5,7,8 and9 no. digit bfins
repeated is a) 72 b) 120 c) 192 d) 264
5. The rate of 35 C8 + 7SK =1 42- KC7 + 5S j =1 47- j C40- j is
a) 47C7 b) 47C8 c) 46C7 d) 46C8
6. If a polygon has 54 diagonels , the number of its sides is
a) 9 b) 10 c) 11 d) 12
7. 20 persons wereinvited to a party. Number of ways in which host and goest will seat round a circular table such
that two particular persons be seated on aither side of the host, is
a) 20! b) 18 ! c) 2 X 18 ! d) 1/2 X 20 !
8. ( 7C0 + 7C1) + (7C1 + 7C2 ) + ------ + ( 7C6 + 7C7) =
a) 27-1 b) 28-2 c) 28-1 d) 28
9. In nC4, nC5, nC6 are in AP then n =
a) 14 or7 b) 11 c) 17 d) 8
10. The number of five digit telephone numbers having atleast one of their digit repeated is
a) 90,000 b) 1,00,000 c)30240 d)69760
11. There are 16 points in a plane , no three of which are in a st.line except 8 which are all in a st. line . The number
of triangles that can be formed by joining them equals
a) 504 b) 552 c) 560 d) 1120
12. The number of ways of selecting 10 players out of 22 when 4 of them being excluded and 6 always included is
a) 22C10 b) 12C2 c) 495 d) None
13. The number of 4 digit numbers formed out of the digits 3,4,5,6,7,8,0 if number digit is repeated is
a) 720 b) 270 c) 7P2 d) 6C4
14. Everybody in a room shakes hand with everybody. The total number of hand shakes is 66. The total number of
person in the room is
a) 11 b) 12 c) 13 d) 14
15. If the 2nd , 3rd and 4th terms in the expansion of ( x + a)n are 240, 720 and1080 respectively then n =
a) 15 b) 20 c) 10 d) 15
16. The term indipendent of x in ( x2 - 1/x)9 is
a) 1 b) -1 c) 49 d) None
17. C1 + 2C2 + 3C3 + nC4 =
a) n.2n-1 b) (n + 2)2n c) (n + 1)2n-1 d) ( n + 2) 2n-1
18. If the of x7 in (ax2 + 1/bx)11 and the of x-7 in (ax-1/bx2 )11 are equale then ab=
a) 1 b) 2 c) 3 d)4
19. The sum of the in the explenation of (1-x)10 is
a) 0 b) 1 c) 102 d) 1024

1 c 2 d 3 a 4 c 5 b 6 a 7 d 8 c 9 b 10 a 11 d 12 a 13 c 14 a 15 b 16 d 17 d 18 a 19 a