1
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in :
A
[-3, $$\infty$$)
B
(-$$\propto$$, 9]
C
(-$$\propto$$, -9] $$\cup$$ [-3, $$\infty$$)
D
(-$$\propto$$, -3] $$\cup$$ [9, $$\infty$$)
2
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
Let an be the nth term of a G.P. of positive terms.

$$\sum\limits_{n = 1}^{100} {{a_{2n + 1}} = 200}$$ and $$\sum\limits_{n = 1}^{100} {{a_{2n}} = 100}$$,

then $$\sum\limits_{n = 1}^{200} {{a_n}}$$ is equal to :
A
150
B
175
C
225
D
300
3
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Out of Syllabus
The product $${2^{{1 \over 4}}}{.4^{{1 \over {16}}}}{.8^{{1 \over {48}}}}{.16^{{1 \over {128}}}}$$ ... to $$\infty$$ is equal to :
A
$${2^{{1 \over 4}}}$$
B
$${2^{{1 \over 2}}}$$
C
1
D
2
4
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
If the 10th term of an A.P. is $${1 \over {20}}$$ and its 20th term is $${1 \over {10}}$$, then the sum of its first 200 terms is
A
100
B
$$100{1 \over 2}$$
C
$$50{1 \over 4}$$
D
50
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