1
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
$${}^{51}{C_7} + {}^{30}{C_7}$$
2
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
If the term independent of x in the expansion of
$${\left( {{3 \over 2}{x^2} - {1 \over {3x}}} \right)^9}$$ is k, then 18 k is equal to :
A
5
B
9
C
7
D
11
3
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
If the number of integral terms in the expansion
of (31/2 + 51/8)n is exactly 33, then the least value of n is :
A
264
B
256
C
128
D
248
4
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
Let $$\alpha$$ > 0, $$\beta$$ > 0 be such that
$$\alpha$$3 + $$\beta$$2 = 4. If the maximum value of the term independent of x in
the binomial expansion of $${\left( {\alpha {x^{{1 \over 9}}} + \beta {x^{ - {1 \over 6}}}} \right)^{10}}$$ is 10k,
then k is equal to :
A
176
B
336
C
352
D
84
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