1
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
2
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
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
3
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
4
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Let ƒ : R $$\to$$ R be such that for all x $$\in$$ R
(21+x + 21–x), ƒ(x) and (3x + 3–x) are in A.P.,
then the minimum value of ƒ(x) is
A
2
B
0
C
3
D
4
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