Correct Answer: Wreck

Solution : The second option is the correct answer.

Decimate means to severely reduce or destroy a large portion of something, often referring to a population or a substantial quantity. On the other hand, wreck means to cause severe damage or destruction.

The meanings of the other

Correct Answer: $\frac{\sqrt{5}}{3}$

Solution : Given that $\operatorname{cosec B} = \frac{3}{2}$.
$\mathrm{\sin B = \frac{2}{3}}$
$⇒\mathrm{\cos B = \sqrt{1 - \sin^2 B} = \sqrt{1 - \left(\frac{2}{3}\right)^2} = \sqrt{1 - \frac{4}{9}} = \sqrt{\frac{5}{9}} = \frac{\sqrt{5}}{3}}$
$⇒\mathrm{\cot B = \frac{\cos B}{\sin B} = \frac{\frac{\sqrt{5}}{3}}{\frac{2}{3}} = \frac{\sqrt{5}}{2}}$
$\therefore \mathrm{\cot B \sin B =

Correct Answer: $\frac{2}{3}$

Solution : $\cos^{4}\theta-\sin^{4}\theta=\frac{2}{3}$
⇒ $(\cos^{2}\theta-\sin^{2}\theta)(\cos^{2}\theta+\sin^{2}\theta) = \frac{2}{3}$
We know that, $\cos^{2}\theta+\sin^{2}\theta= 1$
⇒ $(\cos^{2}\theta-\sin^{2}\theta)=\frac{2}{3}$
Putting the value of $\cos^{2}\theta = 1-\sin^{2}\theta$
⇒ $(1-\sin^{2}\theta-\sin^{2}\theta)=\frac{2}{3}$
$\therefore(1-2\sin^{2}\theta)=\frac{2}{3}$
Hence, the correct answer is $\frac{2}{3}$.

Correct Answer: $\frac{31}{20}$

Solution :
Using the Pythagoras theorem we get, 
$AC^2=BC^2-AB^2$
⇒ $AC=\sqrt{5^2-4^2}$
⇒ $AC=3$ cm
Now, $\cos B=\frac{4}{5}$ and $\cot C=\frac{3}{4}$
So, $\cos B + \cot C=\frac{4}{5}+\frac{3}{4}=\frac{31}{20}$
Hence, the correct answer is $\frac{31}{20}$.

Correct Answer: Ramtanu Pandey

Solution : The correct answer is Ramtanu Pandey.

Tansen, one of Akbar's court's famed Navratnas, is regarded as one of India's most remarkable musicians. He was born as Ramtanu Pandey and was originally Hindu. Notably, he served as the court poet for both Emperor Akbar

Correct Answer: Only II

Solution : Statement I: The total number of male teachers in all 5 schools is 106.6% of the total number of female teachers in the 5 schools.
From the given graph,
Total number of male teachers in all the schools = 260 + 280 + 270

Correct Answer: Havana : Cuba

Solution : Given:
Tokyo : Japan (Tokyo is the capital city of Japan.)

Let's check the given options –
First option: Havana : Cuba; Havana is the capital city of Cuba.
Second option: Thailand : Bangkok; Bangkok is the capital city of Thailand but the

Correct Answer: MP

Solution : Let's check the options –
First option: CX; C and X are opposite pairs.
Second option: AZ; A and Z are opposite pairs.
Third option: FU; F and U are opposite pairs.
Fourth option: MP; M and P are not opposite pairs.

The fourth option

Correct Answer: 25%

Solution : Money spent on food = 150°
Percentage of money spent on food $=\frac{150}{360}×100=41.67$
Money spent on house rent = 120°
Percentage of money spent on food $=\frac{120}{360}×100=33.33$
Difference of percentage = 41.67 – 33.33 = 8.34%
$\therefore$ The % of money spent on food compared

Correct Answer: INR 60,00,000

Solution : The total amount spent on sports during the year was INR 1,50,00,000.
Percentage of amount spent on Cricket and hockey together = 20% + 20% = 40%
So, the amount spent on Cricket and hockey together = $\frac{40}{100}\times 15000000$ = 60,00,000
Hence, the correct