Which of the following options are equal to 66? Option 1: LXVI Option 2: LXIV Option 3: LXXXVIII - XXII Option 4: XLIX + XVI

Which of the following statements is incorrect?

A The hydrogen bond in $\mathrm{KHF}_{2}$ is stronger than that in gaseous $\mathrm{HF}$.

B The dipole moment of $\mathrm{CH}{3}\mathrm{F}$ is less than that of $\mathrm{CH}{3}\mathrm{Cl}$.

C $\mathrm{sp}^{2}$ hybrid orbitals have equal $\mathrm{s}$ and $\mathrm{p}$ character.

D Two types of bonds present in $\mathrm{B}{2}\mathrm{H}{6}$ are covalent and three-centre-two-electron bonds.

Five friends decided to play a game of badminton. Each of the five plays against every other friend. The winner gets two points for each game he or she wins and the loser gets zero. Then which of the following cannot represent the scores of five friends?

• $4,4,4,4,4$
• $6,4,4,4,2$
• $8,8,2,20$
• $6,6,4,2,2$

For the equation $\frac{4 x^{2}+x+4}{x^{2}+1}+\frac{x^{2}+1}{x^{2}+x+1}=\frac{31}{6}$ Which of the following statements is/are correct? A The equation has 4 real and distinct roots. B The equation has 3 real and distinct roots. C The sum of all real and distinct roots is -2. D The sum of all real and distinct roots is -1.

Suppose that $\tan \theta=\frac{20}{21}$. Which of the following options are correct?

A $\cos \theta=\frac{4}{7}$
B $\sin \theta=\frac{5}{7}$
Cosec $\theta=\frac{20}{21}$
D $\sec \theta=\frac{21}{29}$
E None of these

Which of the following options is equal to $-12$?
A) $1 \times 12$
B) $-1 \times 12$
C) $-4 \times 3$
D) $4 \times 3$