1
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms is 243, then the sum of the first 50 terms of this G.P. is :
A
$${2 \over {13}}\left( {{3^{50}} - 1} \right)$$
B
$${1 \over {13}}\left( {{3^{50}} - 1} \right)$$
C
$${1 \over {26}}\left( {{3^{49}} - 1} \right)$$
D
$${1 \over {26}}\left( {{3^{50}} - 1} \right)$$
2
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If the sum of the first 20 terms of the series
$${\log _{\left( {{7^{1/2}}} \right)}}x + {\log _{\left( {{7^{1/3}}} \right)}}x + {\log _{\left( {{7^{1/4}}} \right)}}x + ...$$ is 460,
then x is equal to :
A
e2
B
71/2
C
72
D
746/21
3
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
If 210 + 29.31 + 28 .32 +.....+ 2.39 + 310 = S - 211, then S is equal to :
A
$${{{3^{11}}} \over 2} + {2^{10}}$$
B
311 — 212
C
2.311
D
311
4
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
If $${3^{2\sin 2\alpha - 1}}$$, 14 and $${3^{4 - 2\sin 2\alpha }}$$ are the first three terms of an A.P. for some $$\alpha$$, then the sixth terms of this A.P. is:
A
66
B
81
C
65
D
78
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