1
JEE Main 2025 (Online) 29th January Evening Shift
Numerical
+4
-1

In the sulphur estimation, 0.20 g of a pure organic compound gave 0.40 g of barium sulphate. The percentage of sulphur in the compound is __________ $\times 10^{-1} \%$.

(Molar mass : $\mathrm{O}=16, \mathrm{~S}=32, \mathrm{Ba}=137$ in $\mathrm{g} ~\mathrm{mol}^{-1}$ )

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2
JEE Main 2025 (Online) 29th January Evening Shift
Numerical
+4
-1
In the Claisen-Schmidt reaction to prepare, dibenzalacetone from 5.3 g of benzaldehyde, a total of 3.51 g of product was obtained. The percentage yield in this reaction was _______ %.
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3
JEE Main 2025 (Online) 29th January Evening Shift
Numerical
+4
-1

Isomeric hydrocarbons → negative Baeyer’s test

(Molecular formula C9H12)

The total number of isomers from above with four different non-aliphatic substitution sites is -

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4
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1

Let $\mathrm{S}=\mathbf{N} \cup\{0\}$. Define a relation R from S to $\mathbf{R}$ by :

$$ \mathrm{R}=\left\{(x, y): \log _{\mathrm{e}} y=x \log _{\mathrm{e}}\left(\frac{2}{5}\right), x \in \mathrm{~S}, y \in \mathbf{R}\right\} . $$

Then, the sum of all the elements in the range of $R$ is equal to :

A
$\frac{3}{2}$
B
$\frac{10}{9}$
C
$\frac{5}{2}$
D
$\frac{5}{3}$
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