The greatest term of the expansion (2x + 5y)13 where x = 10, y = 2 is
	1.
	2.
	3.
	4.	None

	The binomial expansion of n N contain a term independent of x :
	1.	only if k is an integers
	2.	only if k is a natural numbers.
	3.	only if k is rational
	4.	for any real k.

	The coefficient of x50 in (1 + x)41 (1 - x + x2)40 is
	1.	1
	2.	2
	3.	3
	4.	0

Given that the term of the expansion (x1/3 - x-1/2)15 which does not contain x is 5 m where m N , then m =
1.	1100
2.	1010
3.	1001
4.	none
0 out of 4 marks (content provider) Contributed by Correct Answer: 3 Solution: Ans: 3

Q. 8	In the binomial (21/3 + 3-1/3)n, if the ratio of the seventh term from the beginning of the expansion to the seventh term from its end is 1/6 , then n =
1.	6
2.	9
3.	12
4.	15
0 out of 4 marks (content provider) Contributed by Correct Answer: 2 Solution: Ans: 2

Q. 9	The coefficient of x49 in the expansion of (x - 1) ..... is equal to
1.	- 2
2.	+ ve coefficient of x
3.	- ve coefficient of x
4.	- 2
0 out of 4 marks (content provider) Contributed by Correct Answer: 1 Solution: Ans: 1

Q. 10	The last digit of (3P + 2) is : where P = 34n and n N
1.	1
2.	2
3.	4
4.	5
0 out of 4 marks (content provider) Contributed by Correct Answer: 4 Solution: Ans: 4

Q. 11	The sum of the binomial coefficients of is equal to 256 . The constant term in the expansion is
1.	1120
2.	2110
3.	1210
4.	none
0 out of 4 marks (content provider) Contributed by Correct Answer: 1 Solution: Ans: 1

Q. 12	The coefficient of x4 in is :
1.
2.
3.
4.
0 out of 4 marks (content provider) Contributed by Correct Answer: 1 Solution: Ans: 1

Q. 13	If (1 + x + x2)25 = a0 + a1x + a2x2 + ..... + a50 . x50 then a0 + a2 + a4 + ..... + a50 is :
1.	even
2.	odd & of the form 3n
3.	odd & of the form (3n - 1)
4.	odd & of the form (3n + 1)
0 out of 4 marks (content provider) Contributed by Correct Answer: 1 Solution: Ans: 1

Q. 14	If the second term of the expansion is 14a5/2 then the value of is :
1.	4
2.	3
3.	12
4.	6
0 out of 4 marks (content provider) Contributed by Correct Answer: 1 Solution: Ans: 1

Q. 15	If (1 + x) (1 + x + x2) (1 + x + x2 + x3) ...... (1 + x + x2 + x3 + ...... + xn) a0 + a1x + a2x2 + a3x3 + ...... + amxm then has the value equal to
1.	n!
2.	(n + 1) !
3.	(n - 1)!
4.	none
0 out of 4 marks (content provider) Contributed by Correct Answer: 2 Solution: Ans: 2

Q. 16	The value of 4 {nC1 + 4 . nC2 + 42 . nC3 + ...... + 4n - 1} is :
1.	0
2.	5n + 1
3.	5n
4.	5n - 1
0 out of 4 marks (content provider) Contributed by Correct Answer: 4 Solution: Ans: 4

Q. 17	In the expansion of (1 + x)43 if the co-efficients of the (2r + 1)th and the (r + 2)th terms are equal, the value of r is :
1.	12
2.	13
3.	14
4.	15
0 out of 4 marks (content provider) Contributed by Correct Answer: 3 Solution: Ans: 3

Q. 18	The positive value of a so that the co-efficient of x5 is equal to that of x15 in the expansion of is
1.
2.
3.	1
4.	2
0 out of 4 marks (content provider) Contributed by Correct Answer: 1 Solution: Ans: 1

Q. 19	In the expansion of , the term which does not contain x is :
1.	10C0
2.	10C7
3.	10C4
4.	none
0 out of 4 marks (content provider) Contributed by Correct Answer: 3 Solution: Ans: 3

Q. 20	Co-efficient of t in the expansion of, ( + p)m - 1 + ( + p)m - 2 ( + q) + ( + p)m - 3 ( + q)2 + ...... ( + q)m - 1 where - q and p q is :
	1.
	2.
	3.
	4.
0 out of 4 marks (content provider) Contributed by Correct Answer: 2 Solution: Ans: 2

VISHWESH RAVI , 15 Years ago

Grade 12th Pass