1
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
The number of moles of NH3, that must be added to 2L of 0.80 M AgNO3 in order to reduce the concentration of Ag+ ions to 5.0 $$\times$$ 10$$-$$8 M (Kformation for [Ag(NH3)2]+ = 1.0 $$\times$$ 108) is ____________. (Nearest integer)

[Assume no volume change on adding NH3]
Your input ____
2
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
When 10 mL of an aqueous solution of KMnO4 was titrated in acidic medium, equal volume of 0.1 M of an aqueous solution of ferrous sulphate was required for complete discharge of colour. The strength of KMnO4 in grams per litre is __________ $$\times$$ 10$$-$$2. (Nearest integer)

[Atomic mass of K = 39, Mn = 55, O = 16]
Your input ____
3
JEE Main 2021 (Online) 27th August Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If 0 < x < 1, then $${3 \over 2}{x^2} + {5 \over 3}{x^3} + {7 \over 4}{x^4} + .....$$, is equal to :
A
$$x\left( {{{1 + x} \over {1 - x}}} \right) + {\log _e}(1 - x)$$
B
$$x\left( {{{1 - x} \over {1 + x}}} \right) + {\log _e}(1 - x)$$
C
$${{1 - x} \over {1 + x}} + {\log _e}(1 - x)$$
D
$${{1 + x} \over {1 - x}} + {\log _e}(1 - x)$$
4
JEE Main 2021 (Online) 27th August Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If for x, y $$\in$$ R, x > 0, y = log10x + log10x1/3 + log10x1/9 + ...... upto $$\infty$$ terms

and $${{2 + 4 + 6 + .... + 2y} \over {3 + 6 + 9 + ..... + 3y}} = {4 \over {{{\log }_{10}}x}}$$, then the ordered pair (x, y) is equal to :
A
(106, 6)
B
(104, 6)
C
(102, 3)
D
(106, 9)
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12