1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The coefficient of x$$-$$10 in $${\left( {{x^2} - {1 \over {{x^3}}}} \right)^{10}}$$ is

A
$$-$$ 252
B
$$-$$ 210
C
$$-$$ (5!)
D
$$-$$ 120
2
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

Product of any r consecutive natural numbers is always divisible by

A
r!
B
(r + 4)!
C
(r + 1)!
D
(r + 2)!
3
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
4
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
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12