1
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
The coefficient of x2 in the expansion of the product
(2$$-$$x2) .((1 + 2x + 3x2)6 + (1 $$-$$ 4x2)6) is :
A
107
B
106
C
108
D
155
2
JEE Main 2018 (Offline)
+4
-1
The sum of the co-efficients of all odd degree terms in the expansion of

$${\left( {x + \sqrt {{x^3} - 1} } \right)^5} + {\left( {x - \sqrt {{x^3} - 1} } \right)^5}$$, $$\left( {x > 1} \right)$$ is
A
2
B
-1
C
0
D
1
3
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
The coefficien of x10 in the expansion of (1 + x)2(1 + x2)3(1 + x3)4 is equal to :
A
52
B
56
C
50
D
44
4
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If n is the degree of the polynomial,

$${\left[ {{2 \over {\sqrt {5{x^3} + 1} - \sqrt {5{x^3} - 1} }}} \right]^8} +$$ $${\left[ {{2 \over {\sqrt {5{x^3} + 1} + \sqrt {5{x^3} - 1} }}} \right]^8}$$

and m is the coefficient of xn in it, then the ordered pair (n, m) is equal to :
A
(24, (10)8)
B
(8, 5(10)4)
C
(12, (20)4)
D
(12, 8(10)4)
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