1
JEE Main 2023 (Online) 1st February Evening Shift
Numerical
+4
-1
Change Language

Number of integral solutions to the equation $$x+y+z=21$$, where $$x \ge 1,y\ge3,z\ge4$$, is equal to ____________.

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2
JEE Main 2023 (Online) 1st February Evening Shift
Numerical
+4
-1
Change Language

If the term without $$x$$ in the expansion of $$\left(x^{\frac{2}{3}}+\frac{\alpha}{x^{3}}\right)^{22}$$ is 7315 , then $$|\alpha|$$ is equal to ___________.

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3
JEE Main 2023 (Online) 1st February Evening Shift
Numerical
+4
-1
Change Language

The total number of six digit numbers, formed using the digits 4, 5, 9 only and divisible by 6, is ____________.

Your input ____
4
JEE Main 2023 (Online) 1st February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements : One is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$.

Assertion A : For measuring the potential difference across a resistance of $$600 \Omega$$, the voltmeter with resistance $$1000 \Omega$$ will be preferred over voltmeter with resistance $$4000 \Omega$$.

Reason R : Voltmeter with higher resistance will draw smaller current than voltmeter with lower resistance.

In the light of the above statements, choose the most appropriate answer from the options given below.

A
$$\mathbf{A}$$ is not correct but $$\mathbf{R}$$ is correct
B
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are correct and $$\mathbf{R}$$ is the correct explanation of $$\mathbf{A}$$
C
$$\mathbf{A}$$ is correct but $$\mathbf{R}$$ is not correct
D
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are correct but $$\mathbf{R}$$ is not the correct explanation of $$\mathbf{A}$$
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