1
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
$50^{\text {th }}$ root of a number $x$ is 12 and $50^{\text {th }}$ root of another number $y$ is 18 . Then the remainder obtained on dividing $(x+y)$ by 25 is ____________.
Your input ____
2
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A vehicle travels $4 \mathrm{~km}$ with speed of $3 \mathrm{~km} / \mathrm{h}$ and another $4 \mathrm{~km}$ with speed of $5 \mathrm{~km} / \mathrm{h}$, then its average speed is
A
$3.75 \mathrm{~km} / \mathrm{h}$
B
$4.25 \mathrm{~km} / \mathrm{h}$
C
$3.50 \mathrm{~km} / \mathrm{h}$
D
$4.00 \mathrm{~km} / \mathrm{h}$
3
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II:

List I List II
A. Torque I. $\mathrm{kg} \mathrm{m}^{-1} \mathrm{~s}^{-2}$
B. Energy density II. $\mathrm{kg} \,\mathrm{ms}^{-1}$
C. Pressure gradient III. $\mathrm{kg}\, \mathrm{m}^{-2} \mathrm{~s}^{-2}$
D. Impulse IV. $\mathrm{kg} \,\mathrm{m}^{2} \mathrm{~s}^{-2}$

Choose the correct answer from the options given below:

A
A-IV, B-I, C-III, D-II
B
A-IV, B-I, C-II, D-III
C
A-I, B-IV, C-III, D-II
D
A-IV, B-III, C-I, D-II
4
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
An object is allowed to fall from a height $R$ above the earth, where $R$ is the radius of earth. Its velocity when it strikes the earth's surface, ignoring air resistance, will be
A
$\sqrt{\frac{g R}{2}}$
B
$\sqrt{g R}$
C
$\sqrt{2 g R}$
D
$2 \sqrt{g R}$
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