Correct Answer: 420

Solution : The provided bar graph shows that the maximum production is 540 and the minimum production is 120, respectively.
Difference = Maximum production – Minimum production = 540 – 120 = 420
Hence, the correct answer is 420.

Correct Answer: INR 3,450

Solution : Part of work done by A and B together = $\frac{19}{23}$ of total work
Part of work done by B and C together = $\frac{8}{23}$ of total work
Part of the work done by A alone
= Total work – Part of work done

Correct Answer: 1568

Solution : Given:
$m-n=2$ and $mn=15,(m,n>0)$
$(m-n)^2=2^2$
⇒ $m^2+n^2-2mn=4$
⇒ $m^2+n^2=4+(2×15)=34$
⇒ $m^2+n^2+30=34+30$ [adding 30 to both sides]
⇒ $m^2+n^2+2mn=64$ [as, $mn=15$]
⇒ $(m+n)^2=8^2$
⇒ $m+n=8$
Now, $(m^2-n^2)(m^3-n^3)$
= $(m+n)(m-n) (m-n)(m^2+mn+n^2)$
= $8×2×2×(34+15)$
= $1568$
Hence, the correct answer is 1568.

Correct Answer: Fugitive

Solution : The third option is the correct answer.

The term fugitive is the most appropriate, as it specifically refers to a person who is fleeing or evading legal authorities to escape punishment or arrest. 

The meanings of the other options are as follows:

• A convict is

Correct Answer: $\frac{1+\sin \theta}{\cos \theta}$

Solution : Given: The given trigonometric expression is $[\frac{\tan \theta+\sec \theta–1}{\tan \theta–\sec \theta+1}]$.
Use the trigonometric identity, $\sec^2\theta–\tan^2\theta=1$
⇒ $[\frac{\tan \theta+\sec \theta–(\sec^2\theta–\tan^2\theta)}{\tan \theta–\sec \theta+1}]=[\frac{(\tan \theta+\sec \theta)(1–\sec\theta+\tan \theta)}{\tan \theta–\sec \theta+1}$
$=\tan \theta+\sec \theta=\frac{1+\sin \theta}{\cos \theta}$
Hence, the correct answer is $\frac{1+\sin \theta}{\cos \theta}$.

Correct Answer: $\frac{1}{4}$

Solution : We have,
$\cos \theta = \frac{\sqrt{3}}{2}$
⇒ $\cos \theta = \cos 30^\circ$
⇒ $\theta = 30^\circ$
Now,
$\tan^2 \theta \cos^2 \theta=\tan^2 30^\circ \cos^2 30^\circ=
(\frac{1}{\sqrt3})^2 ×(\frac{\sqrt{3}}{2})^2$
$= \frac{1}{4}$
Hence, the correct answer is $\frac{1}{4}$.

Correct Answer: 45

Solution : Let the time taken by him on a bicycle be $x$ hour.
Distance covered by him by walking = $5×3\frac{36}{60}=5×\frac{18}{5}=18$ km.
Distance covered by him on the bicycle = 24$x$ km.
According to the question,
24$x$ = 18
⇒ $x = \frac{18}{24}$ hour = $\frac{18}{24}×60$

Correct Answer: 4%

Solution : Percentage Donated = $\frac{\text{Amount Donated}}{\text{Total Income}}\times 100$
First, let's calculate the total expenses:
Total Expenses = Household items + LIC and mutual funds + Children's education + Miscellaneous expenses Total Expenses
= Rs. 12,000 + Rs. 14,000 + Rs. 15,000 + Rs. 10,000 = Rs.

Correct Answer: When Mrs. Sinha came to see Varanasi in 2019, Nupur has already been teaching there for five years.

Solution : The correct choice is the second option.

The past perfect tense "had already been teaching" should have been used as it indicates an action that was completed before

Correct Answer: 1-a, 2-b, 3-c

Solution : The correct answer is 1-a, 2-b, 3-c.

Kerala - a. Highest sex ratio. The sex ratio of Kerala is 1084, one of the highest sex ratios in India whereas 943 is the sex ratio of India.

Haryana - b. Lowest sex ratio. Haryana