1
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

For each n $$\in$$ N, 23n $$-$$ 1 is divisible by

here N is a set of natural numbers.

A
7
B
8
C
6
D
16
2
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If C0, C1, C2, ......, Cn denote the coefficients in the expansion of (1 + x)n then the value of C1 + 2C2 + 3C3 + ..... + nCn is

A
n . 2n $$-$$ 1
B
(n + 1)2n $$-$$ 1
C
(n + 1)2n
D
(n + 2)2n $$-$$ 1
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

If the coefficients of x2 and x3 in the expansion of (3 + ax)9 be same, then the value of a is

A
3/7
B
7/3
C
7/9
D
9/7
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

using binomial theorem, the value of (0.999)3 correct to 3 decimal places is

A
0.999
B
0.998
C
0.997
D
0.995
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