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(SOLVED)
Note : All Answers are in red.
1. The value of
-
+
-
+.......... + (-1)n
is
- Ans
none of these
2. The value of the expression
is -
210
220
1
25
3. If |x| < 1, then the co-efficient of xn in the expansion of (1 + x + x2 + x3 +.......)2 is
n
n - 1
n + 2
n + 1
4. If x is so small that x2 and higher powers of x can be neglected, then value of the expression 
is
1 + 
x
1 - 
x
1 + 
x
1 - x
5. The number of values of 'r' satisfying the equation,
=
is :
1
2
3
4
6. Set of value of r for which, 18Cr - 2 + 2. 18Cr - 1 + 18Cr ≥ 20C13 contains:
4 elements
5 elements
7 elements
10 elements
7. The co-efficient of x5 in the expansion of, (1 + x)21 + (1 + x)22 +....... + (1 + x)30 is :
51C5
9C5
31C6 - 21C6
30C5 + 20C5
8. The co-efficient of x in the expansion of, (1 - 2x3 + 3 x5)
is :
56
65
154
62
9. (1 + x + x2 + x3)5 = a0 + a1x + a2x2 +....................... + a15x15 then a10 equals to
99
101
100
110
10. If (1 + x)10 = a0 + a1x + a2x2 +......+ a10x10, then (a0 - a2 + a4 + a6 + a8 - a10)2 + (a1 - a3 + a5 - a7 + a9)2 is equal to
310
210
29
none of these
