Question : If a + b = 3, the value of a³ + b³ + 9ab is:

Option 1: 27

Option 2: 9

Option 3: 16

Option 4: 81

Question : Comprehension:
Read the following passage and answer the questions given after it.
In the late 18th century the Industrial Revolution began to transform life in Britain. Until then, most people lived in the countryside and made their living from farming. By the mid-19th century, most people in Britain lived in towns and made their living from mining or manufacturing industries. In 1712 a man named Thomas Newcomen (1663-1729) made primitive steam engines for pumping water from mines. In 1769 James Watt (1736-1819) patented a more efficient steam engine. In 1785 his engine was adapted to driving machinery in a cotton factory. The use of steam engines to drive machines slowly transformed the industry. Meanwhile, during the 1700s Britain built up a great overseas empire. The North American colonies were lost after the War of Independence 1776-1783. On the other hand, after the Seven Years' War 1756-1763, Britain captured Canada and India. Britain also took Dominica, Grenada, St. Vincent and Tobago in the West Indies. In 1707 the Act of Union was passed. Scotland was united with England and Wales. England became part of Great Britain. Owning land was the main form of wealth in the 18th century. Political power and influence were in the hands of rich landowners. At the top were the nobility. Below them were a class of nearly rich landowners called the gentry. In the early 18th century there were another class of landowners called yeomen who were small landowners, described as farmers of the middle class. However, during the century this class became less and less numerous. However other middle class people such as merchants and professional men became richer and more numerous, especially in the towns. Below them were the great mass of the population, craftsmen and labourers. In the 18th century, probably half the population lived at subsistence or bare survival levels.
In the early 18th century England suffered from gin drinking. It was cheap and it was sold everywhere as you did not need a license to sell it. Many people ruined their health by drinking gin. Sadly, for many poor people drinking gin was their only comfort. The situation improved after 1751 when a tax was imposed on gin. At the end of the 17th century, it was estimated the population of England and Wales was about 5 1/2 million. The population of Scotland was about 1 million. The population of London was about 600,000. In the mid-18th century, the population of Britain was about 6 1/2 million. In the late 18th century it grew rapidly and by 1801 it was over 9 million. The population of London was almost 1 million. During the 18th century, towns in Britain grew larger. Nevertheless, most towns still had populations of less than 10,000. However, in the late 18th century new industrial towns in the Midland and the North of England mushroomed. Meanwhile, the population of London grew to nearly 1 million by the end of the century. Other towns were much smaller. The population of Liverpool was about 77,000 in 1800. Birmingham had about 73,000 people and Manchester had about 70,000. Bristol had a population of about 68,000. Sheffield was smaller with 31,000 people and Leeds had about 30,000 people.
Question:
By the end of the 18th century, the population of Britain was:

Option 1: around 5 1/2 million

Option 2: over 9 million

Option 3: almost 6 1/2 million

Option 4: about 1 million

Question : Directions: Select the option figure that is embedded in the given figure. (Rotation is not allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".

It is high time (1) / we renovate (2) / our old house. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Which of the following statement(s) is/are true?
I. $\sqrt{12}<\sqrt[3]{16}<\sqrt[4]{24}$
II. $\sqrt[3]{25}>\sqrt[4]{32}>\sqrt[6]{48}$
III. $\sqrt[4]{9}>\sqrt[3]{15}>\sqrt[6]{24}$

Option 1: Only II

Option 2: Only I and III

Option 3: Only I

Option 4: All are true

Question : In a circular race of 4225 m, X and Y start from the same point and at the same time, at speeds of 54 km/hr and 63 km/hr, respectively. When will they meet again for the first time on the track, when they are running in opposite directions?

Option 1: 140 seconds

Option 2: 150 seconds

Option 3: 130 seconds

Option 4: 120 seconds

Question : Which one of the following organisations is not having its headquarters in Geneva?

Option 1: World Trade Organisation

Option 2: World Health Organisation

Option 3: International Labour Organisation

Option 4: International Civil Aviation Organisation

Question : Who was the recipient of the National Devdasi Award in 2016?

Option 1: Geeta Kapoor

Option 2: R Muthukannammal

Option 3: Prerana Deshpande

Option 4: Dr Sohini Ray

Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).

The majority of the rain-fed Indian rivers, either dry up or become trickle after the monsoon.

(1) the trickle

(2) a trickle

(3) an trickle

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Select the correct passive form of the given sentence.

They are lifting the car with a crane.

Option 1: The car was being lifted with a crane.

Option 2: The car is being lifted with a crane.

Option 3: The car had lifted with a crane.

Option 4: The car is lifted with a crane.