1
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
If the constant term in the binomial expansion of
$${\left( {\sqrt x - {k \over {{x^2}}}} \right)^{10}}$$ is 405, then |k| equals :
A
3
B
9
C
1
D
2
2
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
If {p} denotes the fractional part of the number p, then
$$\left\{ {{{{3^{200}}} \over 8}} \right\}$$, is equal to :
A
$${5 \over 8}$$
B
$${7 \over 8}$$
C
$${1 \over 8}$$
D
$${3 \over 8}$$
3
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Out of Syllabus
If for some positive integer n, the coefficients
of three consecutive terms in the binomial
expansion of (1 + x)n + 5 are in the ratio
5 : 10 : 14, then the largest coefficient in this expansion is :
A
330
B
792
C
252
D
462
4
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
Out of Syllabus
The value of $$\sum\limits_{r = 0}^{20} {{}^{50 - r}{C_6}}$$ is equal to:
A
$${}^{50}{C_6} - {}^{30}{C_6}$$
B
$${}^{51}{C_7} - {}^{30}{C_7}$$
C
$${}^{50}{C_7} - {}^{30}{C_7}$$
D
$${}^{51}{C_7} + {}^{30}{C_7}$$
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