1
JEE Main 2025 (Online) 23rd January Evening Shift
Numerical
+4
-1
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The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is ________.

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2
JEE Main 2025 (Online) 23rd January Evening Shift
Numerical
+4
-1
Change Language

The roots of the quadratic equation $3 x^2-p x+q=0$ are $10^{\text {th }}$ and $11^{\text {th }}$ terms of an arithmetic progression with common difference $\frac{3}{2}$. If the sum of the first 11 terms of this arithmetic progression is 88 , then $q-2 p$ is equal to ________ .

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3
JEE Main 2025 (Online) 23rd January Evening Shift
Numerical
+4
-1
Change Language

The variance of the numbers $8,21,34,47, \ldots, 320$ is _______.

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4
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 \times 10^{-3} x+600 t\right] \mathrm{mm}$, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

A
$-60 \mathrm{~m} / \mathrm{s}$
B
$+60 \mathrm{~m} / \mathrm{s}$
C
$+30 \mathrm{~m} / \mathrm{s}$
D
$-30 \mathrm{~m} / \mathrm{s}$
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