What is the simplified value of $ \left[ \dfrac{cos^{2}\theta}{1+sin\theta}-\dfrac{sin^{2}\theta}{1+cos\theta}\right]^{2}?$

If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

The table below shows the distribution of number of people living in 8 different countries and the per capita income of each of the countries.The total population of these countries taken together is 200 crores.
Per captia income=total GDP of country/population of the country

What is the difference (in crores) in population of the most and the least populated country?

The table below shows the distribution of number of people living in 8 different countries and the per capita income of each of the countries.The total population of these countries taken together is 200 crores.
Per captia income=total GDP of country/population of the country

What is the total GDP (in crore dollars) of country 5?

The table below shows the distribution of number of people living in 8 different countries and the per capita income of each of the countries.The total population of these countries taken together is 200 crores.
Per captia income=total GDP of country/population of the country

What is the total GDP (in crore dollars) for the country with the third lowest per capita income?

The table below shows the distribution of number of people living in 8 different countries and the per capita income of each of the countries.The total population of these countries taken together is 200 crores.
Per captia income=total GDP of country/population of the country

Which country has the highest total GDP?

English Comprehension

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No error.
Hardly had I reached the (1)/ exhibition where I learnt (2)/ about the major robbery. (3)/ No Error (4)

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select No error.
No sooner did the sun rise (1)/ when we resumed the journey (2)/ after having a hasty breakfast. (3)/ No Error (4)

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
He _____ to the problem of air pollution in his speech.

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
Rohan is so magnanimous that everyone is always _____ to help him in his project.