Question : If $r\sin\theta=\frac{7}{2}$ and $r\cos\theta=\frac{7\sqrt3}{2}$, then the value of $\theta$ is:

Option 1: 30°

Option 2: 45°

Option 3: 60°

Option 4: 75°

Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets.
(12, 7, 1385); (19, 15, 3484)
(NOTE: Operations should be performed on the whole numbers without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.)

Option 1: (17, 15, 1550)

Option 2: (11, 7, 955)

Option 3: (21, 16, 5165)

Option 4: (16, 14, 1321)

Question : Comprehension:
Read the given passage and answer the questions that follow.
Santiniketan embodies Rabindranath Tagore's vision of a place of learning that is unfettered by religious and regional barriers. Established in 1863 with the aim of helping education go beyond the confines of the classroom, Santiniketan grew into the Visva Bharati University in 1921, attracting some of the most creative minds in the country.

He developed a curriculum that was a unique blend of art, human values, and cultural interchange. Even today, in every step, in every brick, and in every tree at Santiniketan, one can still feel his presence, his passion, his dedication, and his pride in the institution.

In 1862, Maharishi Debendranath Tagore, father of Rabindranath, was taking a boat ride through Birbhum, the westernmost corner of Bengal, when he came across a landscape that struck him as the perfect place for meditation. He bought the large tract of land built a small house and planted some saplings around it. Debendranath Tagore decided to call the place Santiniketan, or the 'abode of peace', because of the serenity it brought to his soul. In 1863, he turned it into a spiritual center where people from all religions, castes, and creeds came and participated in meditation.

In the years that followed, Debendranath's son Rabindranath went on to become one of the most formidable literary forces India has ever produced. He wrote in all literary genres but he was first and foremost a poet. As one of the earliest educators to think in terms of the global village, he envisioned an education that was deeply rooted in one's immediate surroundings but connected to the cultures of the wider world.

Located in the heart of nature, the school aimed to combine education with a sense of obligation towards the larger civic community. Blending the best of Western and traditional Eastern systems of education, the curriculum revolved organically around nature with classes being held in the open air. Tagore wanted his students to feel free despite being in the formal learning environment of a school because he himself had dropped out of school when he found himself unable to think and felt claustrophobic within the four walls of a classroom. Nature walks and excursions were a part of the curriculum, special attention was paid to natural phenomena and students were encouraged to follow the life cycles of insects, birds, and plants.

The rural paradise of Santiniketan, Tagore's erstwhile home, has become a thriving center of art, education, and internationalism over the years.

Question:
When did Santiniketan grow into a university?

Option 1: In 1863

Option 2: In 1922

Option 3: In 1862

Option 4: In 1921

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'.

He said that it was the first time (1) / that such a trick (2) / is discovered. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : The marked price of an article is INR 10,927. Due to the festive season, a certain percentage of discount is declared. Raju buys an article at a reduced price and sells it at INR 10927, and makes a profit of 11.5%. What was the percentage discount offered?

Option 1: 10.3%

Option 2: 11.3%

Option 3: 11.5%

Option 4: 10.9%

Question : Find the sum of 6 + 8 + 10 + 12 + 14 .................. + 40.

Option 1: 414

Option 2: 424

Option 3: 1600

Option 4: 400

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

They welcomed Jane and Karan to the gathering.

Option 1: Jane and Karan is welcomed by them to the gathering.

Option 2: Jane and Karan had been welcomed by them to the gathering.

Option 3: Jane and Karan are welcomed by them to the gathering.

Option 4: Jane and Karan were welcomed by them to the gathering.

Question : Refer to the data table and answer the following question.

Five points are to be deducted from this student's average marks scored because of poor attendance. What will be this student's net average marks scored?

Option 1: 56

Option 2: 51

Option 3: 46

Option 4: 61

Question : Directions: The ratio between the present ages of Pankaj and Punit is 5 : 6, and the sum of their ages is 33 years. What will be the difference (in years) of their ages?

Option 1: 2

Option 2: 3

Option 3: 4

Option 4: 5

Question : Which freedom is considered the "Hallmark of Democracy"?

Option 1: Right against exploitation

Option 2: Right to freedom of religion

Option 3: Freedom of assembly

Option 4: Freedom of speech and expression