A compound ' $\mathrm{X}^{\prime}$ absorbs 2 moles of hydrogen and ' X ' upon oxidation with $\mathrm{KMnO}_4 \mid \mathrm{H}^{+}$ gives

The total number of $\sigma$ bonds present in the compound ' $X^{\prime}$ ' is __________.
Two moles of benzaldehyde and one mole of acetone under alkaline conditions using aqueous $$\mathrm{NaOH}$$ after heating gives $$x$$ as the major product. The number of $$\pi$$ bonds in the product $$x$$ is ______.
The product C in the following sequence of reactions has ________ $$\pi$$ bonds.

In the Claisen-Schmidt reaction to prepare $$351 \mathrm{~g}$$ of dibenzalacetone using $$87 \mathrm{~g}$$ of acetone, the amount of benzaldehyde required is _________ g. (Nearest integer)
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