Question : In $\triangle$XYZ, P is the incentre of the $\triangle$XYZ. If $\angle$XYZ = 50°, then what is the value of $\angle$XPZ?

Option 1: 100°

Option 2: 115°

Option 3: 140°

Option 4: 130°

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. 5.

Option 1: balances

Option 2: shadows

Option 3: outweigh

Option 4: insides

Question : Prakash lends a part of Rs. 20,000 at 8% simple interest and the remaining at $\frac{4}{3}\%$ simple interest. His total income after a year was Rs. 800. Find the sum lent at 8%.

Option 1: Rs. 8,000

Option 2: Rs. 12,000

Option 3: Rs. 6,000

Option 4: Rs. 10,000

Question : Simplify $\frac{1 + \sin t}{4 - 4 \sin t} - \frac{1 - \sin t}{4 + 4 \sin t}$.

Option 1: $4\tan t .\sin t$

Option 2: $\tan t . \sec t$

Option 3: $\tan t - \sin t$

Option 4: $\tan t + \sin t$

Question : Directions: The following equations have been solved based on a certain pattern. Find the correct answer for the unsolved equation on that basis.
If 7 * 4 * 3 = 437, 8 * 6 * 4 = 648, then 4 * 3 * 6 = ?

Option 1: 346

Option 2: 364

Option 3: 643

Option 4: 463

Question : A thief stole jewelry from a shop at 8:15 p.m. and left on a bike at a speed of 60 km/hr. The police were informed at 8:30 p.m. If the police want to arrest the thief at 9:00 p.m., what should be the minimum speed of the police jeep?

Option 1: 60 km/hr

Option 2: 75 km/hr

Option 3: 80 km/hr

Option 4: 90 km/hr

Question : A batsman scores 98 runs in the 17^th match of his career. His average runs per match increased by 2.5. What was his average before the 17^th match?

Option 1: 58

Option 2: 60.5

Option 3: 63

Option 4: 55.5

Question : Direction: 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).

Your long-awaited reply came through yesterday.

(1) came in

(2) came up

(3) came out

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Which of the following is commonly known as quicklime?

Option 1: CaSO₄

Option 2: CaCl₂

Option 3: Ca(OH)₂

Option 4: CaO

Question : French Revolution broke out in the year?

Option 1: 1917

Option 2: 1911

Option 3: 1789

Option 4: 1790