Question : $\sin 600^\circ \cos 750^\circ+\sin 150^\circ \cos 240^\circ=?$

Option 1: $\frac{2}{3}$

Option 2: $1$

Option 3: $\frac{1}{2}$

Option 4: $-1$

Question : For a sample data, mean = 60 and median = 48. For this distribution, the mode is:

Option 1: 18

Option 2: 48

Option 3: 36

Option 4: 24

Question : ABCD is a square inscribed in a circle of radius $r$. Then the total area (in square units) of the portions of the circle lying outside the square is:

Option 1: $\pi (r^{2}-4)$

Option 2: $2\pi (r ^{2}-1)$

Option 3: $\pi^{2} r(r-7)$

Option 4: $r^{2}(\pi -2)$

Question : If $a^{3}+\frac{1}{a^{3}}=2$, then the value of $\frac{a^{2}+1}{a}$ is ($a$ is a positive number):

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : Select the option that expresses the given sentence in indirect speech.
“So help me heaven!”, the man cried, “I shall never lie again.”

Option 1: The man cries out to heaven to help him not to lie again ever.

Option 2: The man called upon heaven to witness his resolve that he would never lie again.

Option 3: The man requested heaven to help him and see that he lie again.

Option 4: The man called heaven and ordered to help him and see to it that she never lies again.

Question : In 2001, the price of a building was 80% of its original price. In 2002, the price was 60% of its original price. By what percentage did the price decrease?

Option 1: 15%

Option 2: 20%

Option 3: 25%

Option 4: 30%

Question : What is the least value that must be assigned to * so that the number 451*603 is exactly divisible by 9?

Option 1: 7

Option 2: 8

Option 3: 5

Option 4: 9

Question : Direction: Arrange the following words according to the English dictionary.

1. Fearsome

2. Fealty

3. Feasible

4. Feature

5. Feather

Option 1: 2, 4, 1, 3, 5

Option 2: 2, 3, 1, 4, 5

Option 3: 2, 5, 3, 1, 4

Option 4: 2, 1, 3, 5, 4

Question : 'Neo-Malthusian Theory' is associated with which of the following?

Option 1: Employment

Option 2: Poverty

Option 3: Resource scarcity

Option 4: Income

Question : Comprehension:

In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

The modern world (1) ________ around technology. It has advanced dramatically in the beyond twenty years, and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science, which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smartphones keep us constantly connected to the virtual world, the wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the Internet to pay our bills, book tickets, travel, and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2) ________ data and reduces external interference, is currently in development.
On the other hand, such rapid progress comes with some (3) ________. Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4) ________ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programmes were established to help people get off of it. However, technology's benefits (5)________ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

Select the most appropriate option to fill in the blank no. 2.

Option 1: lay

Option 2: disturb

Option 3: transmit

Option 4: communicate