1
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
Out of Syllabus
The sum of the following series

$$1 + 6 + {{9\left( {{1^2} + {2^2} + {3^2}} \right)} \over 7} + {{12\left( {{1^2} + {2^2} + {3^2} + {4^2}} \right)} \over 9}$$

$$+ {{15\left( {{1^2} + {2^2} + ... + {5^2}} \right)} \over {11}} + .....$$ up to 15 terms, is :
A
7520
B
7510
C
7830
D
7820
2
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
Let a, b and c be the 7th, 11th and 13th terms respectively of a non-constant A.P. If these are also three consecutive terms of a G.P., then $${a \over c}$$ equal to :
A
2
B
$${1 \over 2}$$
C
$${7 \over 13}$$
D
4
3
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
If a, b, c be three distinct real numbers in G.P. and a + b + c = xb , then x cannot be
A
2
B
-3
C
4
D
-2
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Let $${a_1},{a_2},.......,{a_{30}}$$ be an A.P.,

$$S = \sum\limits_{i = 1}^{30} {{a_i}}$$ and $$T = \sum\limits_{i = 1}^{15} {{a_{\left( {2i - 1} \right)}}}$$.

If $$a_5$$ = 27 and S - 2T = 75, then $$a_{10}$$ is equal to :
A
47
B
42
C
52
D
57
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