Which property among the following is same for both hydrogen and deuterium molecules?

The reagent used in the Wolff-Kishner reduction is

Arrange \(L \dot{I}, \mathrm{Be}, \mathrm{B}\) and \(\mathrm{C}\) in decreasing order of their first ionisation enthalpies.

Which of the following biomolecules acts as specific catalysts in biological reaction?

When same quantity of electricity is passed through aqueous \(\mathrm{AgNO}_3\) and \(\mathrm{H}_2 \mathrm{SO}_4\) solutions connected in series, \(5.04 \times 10^{-2} \mathrm{~g}\) of \(\mathrm{H}_2\) is liberated. What is the mass of silver (in grams) deposited ? (Eq. wts. of hydrogen \(=1.008\), silver \(=108)\)

In which one of the following pairs the two species have identical shape, but differ in hybridisation?

Match the following
\(\begin{array}{ll}
\text{List - I} & \text{List - II} \\
\text{A) } \mathrm{Al}_2 \mathrm{O}_3+2 \mathrm{NaOH}+3 \mathrm{H}_2 \mathrm{O} \rightarrow 2 \mathrm{Na}\left[\mathrm{Al}(\mathrm{OH})_4\right] & \text{I) Roasting} \\
\text{B) } \mathrm{Ni}(\mathrm{CO})_4 \xrightarrow{230^{\circ} \mathrm{C}} \mathrm{Ni}+4 \mathrm{CO} & \text{II) Calcination} \\
\text{C) } \mathrm{Fe}_2 \mathrm{O}_3 \cdot 3 \mathrm{H}_2 \mathrm{O} \xrightarrow{\Delta} \mathrm{Fe}_2 \mathrm{O}_3+3 \mathrm{H}_2 \mathrm{O} & \text{II) Vapour phase refining} \\
\text{D) } 2 \mathrm{PbS}+3 \mathrm{O}_2 \rightarrow 2 \mathrm{PbO}+2 \mathrm{SO}_2 & \text{IV) Electrolysis} \\
& \text{V) Leaching}
\end{array}\)
The correct answer is

If the origin is shifted to remove the first degree terms from the equation \(2 x^2-3 y^2+4 x y+4 x+4 y-14=0\) then, with respect to this new co-ordinate system, the transformed equation of \(x^2+y^2-3 x y+4 y+3=0\) is

Match the measurements given in List I with the number of significant figures given in List II.
\(\begin{array}{lll}
\hline & \text{ List I } & \text{ List II } \\
\hline (A) & 74.083 & I. 3 \\
\hline (B) & 0.029 & II. 4 \\
\hline (C) & 0.002407 & III. 2 \\
\hline (D) & 2.74 \times 10^7 & IV. 5 \\
\hline
\end{array}\)
The correct answer is
A B C D

If the pairs of straight lines \(x^2-2 q x y-y^2=0\) and \(x^2-2 p x y-y^2=0\) bisect the angles between each other, then which of the following is correct?

If \(\omega\) is a complex cube root of unity, then \(\sum_{r=1}^9 r(r+1-\omega)\left(r+1-\omega^2\right)=\)

If $A$ and $B$ throw two dice $100$ times each simultaneously, then the probability that both of them will get even number as the total score at the same time in all the throws is