BINOMIAL THEOREM

1. What is the ratio of coefficient of
   to the term independent of x in
   . /
   ?

(a) 1/64 (b) 1/32 (c) 1/16 (d) 1/

2. For all n N , - 15n - 1 is divisible
   by
   (a) 125 (b) 225 (c) 450 (d) None of
   these


3. What is the middle term in the

expansion of. /
?

(a)^
(b)
(c)
(d) None of
these

4. What is the coefficient of in the

expansion of.
/

?

(a)^ (b)^ (c)^ (d) None of these

5. What is the number of terms in the
   expansion of ( )^ , n?
   (a) n + 1 (b) n + 2 (c) n(n + 1) (d)
   ( )( )


6. What is the sum of all the coefficients
   in the expansion of ( )^?
   (a) (b) (c) (d) 2(n – 1 )


7. What is the coefficient of in the

expansion of.^ /
?

(a) -16 (b) 16 (c) 8 (d) - 8

8. What is the sum of the coefficients of
   all the terms in the expansion of
   ( )^?
   (a) -256 (b) -100 (c) 100 (d) 256


9. What is the coefficient of in the
   expansion of (
   )^ ⁄^?
   (a) ¼ (b) 1/16 (c) 1 (d) 1/


10. If P(32,6)= kC(32, 6), then what is
    the value of k?
    (a) 6 (b) 32 (c) 120 (d) 720


11. What is the value of^

(^)
(a) 0 (b) 1 (c) 2 (d)

12. What is the coefficient of in
    ( )^?
    (a) 240 (b) 360 (c) 720 (d) 1080


13. What is the approximate value of
    ( )^?
    (a) 1.171 (b) 1.175 (c) 1.177 (d)


14. 
    


15. If is the rth in the expansion of
    ( )^ , then what is the ratio^
    equal to?
    (a)^ (b) 83x (c) 19x (d)^


16. If occurs in the rth term in the
    expansion of ( )^ , then what is
    the value of r?
    (a) 4 (b) 8 (c) 9 (d) 10