1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If the fourth term in the binomial expansion of $${\left( {{2 \over x} + {x^{{{\log }_8}x}}} \right)^6}$$ (x > 0) is 20 × 87, then a value of x is :
A
8–2
B
82
C
83
D
8
2
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
If the fourth term in the binomial expansion of
$${\left( {\sqrt {{x^{\left( {{1 \over {1 + {{\log }_{10}}x}}} \right)}}} + {x^{{1 \over {12}}}}} \right)^6}$$ is equal to 200, and x > 1, then the value of x is :
A
100
B
103
C
10
D
104
3
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Out of Syllabus
The sum of the series

2.20C0 + 5.20C1 + 8.20C2 + 11.20C3 + ... +62.20C20 is equal to :
A
225
B
224
C
226
D
223
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Out of Syllabus
The sum of the co-efficients of all even degree terms in x in the expansion of
$${\left( {x + \sqrt {{x^3} - 1} } \right)^6}$$ + $${\left( {x - \sqrt {{x^3} - 1} } \right)^6}$$, (x > 1) is equal to:
A
32
B
26
C
29
D
24
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