1
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

The sum 1 + 2 . 3 + 3 . 32 + ......... + 10 . 39 is equal to :

A
$${{2\,.\,{3^{12}} + 10} \over 4}$$
B
$${{19\,.\,{3^{10}} + 1} \over 4}$$
C
$$5\,.\,{3^{10}} - 2$$
D
$${{9\,.\,{3^{10}} + 1} \over 2}$$
2
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

If $${b_n} = \int_0^{{\pi \over 2}} {{{{{\cos }^2}nx} \over {\sin x}}dx,\,n \in N}$$, then

A
$${b_3} - {b_2},\,{b_4} - {b_3},\,{b_5} - {b_4}$$ are in A.P. with common difference $$-$$2
B
$${1 \over {{b_3} - {b_2}}},{1 \over {{b_4} - {b_3}}},{1 \over {{b_5} - {b_4}}}$$ are in an A.P. with common difference 2
C
$${b_3} - {b_2},\,{b_4} - {b_3},\,{b_5} - {b_4}$$ are in a G.P.
D
$${1 \over {{b_3} - {b_2}}},{1 \over {{b_4} - {b_3}}},{1 \over {{b_5} - {b_4}}}$$ are in an A.P. with common difference $$-$$2
3
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

Let x, y > 0. If x3y2 = 215, then the least value of 3x + 2y is

A
30
B
32
C
36
D
40
4
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

If $$\{ {a_i}\} _{i = 1}^n$$, where n is an even integer, is an arithmetic progression with common difference 1, and $$\sum\limits_{i = 1}^n {{a_i} = 192} ,\,\sum\limits_{i = 1}^{n/2} {{a_{2i}} = 120}$$, then n is equal to :

A
48
B
96
C
92
D
104
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination