1
JEE Main 2024 (Online) 27th January Morning Shift
+4
-1
The number of common terms in the progressions

$4,9,14,19, \ldots \ldots$, up to $25^{\text {th }}$ term and

$3,6,9,12, \ldots \ldots$, up to $37^{\text {th }}$ term is :
A
9
B
8
C
5
D
7
2
JEE Main 2023 (Online) 15th April Morning Shift
+4
-1
Let $A_{1}$ and $A_{2}$ be two arithmetic means and $G_{1}, G_{2}, G_{3}$ be three geometric

means of two distinct positive numbers. Then $G_{1}^{4}+G_{2}^{4}+G_{3}^{4}+G_{1}^{2} G_{3}^{2}$ is equal to :
A
$\left(A_{1}+A_{2}\right)^{2} G_{1} G_{3}$
B
$\left(A_{1}+A_{2}\right) G_{1}^{2} G_{3}^{2}$
C
$2\left(A_{1}+A_{2}\right) G_{1}^{2} G_{3}^{2}$
D
$2\left(A_{1}+A_{2}\right) G_{1} G_{3}$
3
JEE Main 2023 (Online) 13th April Evening Shift
+4
-1

Let a$$_1$$, a$$_2$$, a$$_3$$, .... be a G.P. of increasing positive numbers. Let the sum of its 6th and 8th terms be 2 and the product of its 3rd and 5th terms be $$\frac{1}{9}$$. Then $$6(a_2+a_4)(a_4+a_6)$$ is equal to

A
2$$\sqrt2$$
B
2
C
3$$\sqrt3$$
D
3
4
JEE Main 2023 (Online) 13th April Morning Shift
+4
-1

Let $$s_{1}, s_{2}, s_{3}, \ldots, s_{10}$$ respectively be the sum to 12 terms of 10 A.P. s whose first terms are $$1,2,3, \ldots .10$$ and the common differences are $$1,3,5, \ldots \ldots, 19$$ respectively. Then $$\sum_\limits{i=1}^{10} s_{i}$$ is equal to :

A
7360
B
7220
C
7260
D
7380
EXAM MAP
Medical
NEET