1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

$$({2^{3n}} - 1)$$ will be divisible by $$(\forall n \in N)$$

A
25
B
8
C
7
D
3
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If in the expansion (a $$-$$ 2b)n, the sum of the 5th and 6th term is zero, then the value of $${a \over b}$$ is

A
$${{n - 4} \over 5}$$
B
$${{2(n - 4)} \over 5}$$
C
$${5 \over {n - 4}}$$
D
$${5 \over {2(n - 4)}}$$
3
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

Sum of the last 30 coefficients in the expansion of (1 + x)59, when expanded in ascending powers of x is

A
259
B
258
C
230
D
229
4
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If $${(1 - x + {x^2})^n} = {a_0} + {a_1}x + {a_2}{x^2} + \,\,....\,\,{a_{2n}}{x^{2n}}$$, then the value of $${a_0} + {a_2} + {a_4} + \,\,....\,\,{a_{2n}}$$ is

A
$${3^n} + {1 \over 2}$$
B
$${3^n} - {1 \over 2}$$
C
$${{{3^n} - 1} \over 2}$$
D
$${{{3^n} + 1} \over 2}$$
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Class 12