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Staff Selection Commission Combined Graduate Level Exam

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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:
Which of these statements about Santiniketan is NOT true?

Option 1: Santiniketan grew into Visva Bharati university.

Option 2: Santiniketan is located in the western most part of Bengal.

Option 3: At Santiniketan, classes were held in the open air.

Option 4: Santiniketan was set up by Rabindranath Tagore.

Team Careers360 21st Jan, 2024

Correct Answer: Santiniketan was set up by Rabindranath Tagore.


Solution : The fourth option is the correct choice.

The statement Santiniketan was set up by Rabindranath Tagore is not true.

Explanation:
The passage clearly states that Santiniketan was not set up by Rabindranath Tagore but by his father, Maharishi Debendranath

14 Views

Question : If $(x-5)^2+(y-2)^2+(z-9)^2=0$, then value of $(x+y-z)$ is:

Option 1: 16

Option 2: –1

Option 3: –2

Option 4: 12

Team Careers360 21st Jan, 2024

Correct Answer: –2


Solution : Given:
$(x-5)^2+(y-2)^2+(z-9)^2=0$
So, $x=5, y=2, z=9$
Therefore, $x+y-z = (5+2-9) = -2$
Hence, the correct answer is –2.

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Question : Directions: In a certain code language, BELOVED is coded as 65, and FLOWER is coded as 79. How will QUIVER be coded in that language?

Option 1: 92

Option 2: 94

Option 3: 91

Option 4: 90

Team Careers360 23rd Jan, 2024

Correct Answer: 92


Solution : Given:
BELOVED is coded as 65, and FLOWER is coded as 79.

Add the place values of the letters of BELOVED and FLOWER to get their required codes.
BELOVED; B→2; E→5; L→12; O→15; V→22; E→5; D→4
Add the pace values→2 + 5 + 12 +

17 Views

Question : Which of the following is not a nitrogenous fertiliser?

Option 1: Ammonium sulphate

Option 2: Urea

Option 3: Ammonium Thiosulphate

Option 4: Superphosphate

Team Careers360 25th Jan, 2024

Correct Answer: Superphosphate


Solution : The correct option is Superphosphate.

The term "superphosphate" does not refer to nitrogenous fertiliser. It is a sort of phosphate fertiliser that gives plants phosphorous but no nitrogen. Nitrogenous fertilisers, on the other hand, such as Urea, and Ammonium sulphate, include nitrogen as a

35 Views

Question : The marked price of a piano was Rs. 15,000. At the time of sale, there were successive discounts of 20%, 10%, and 10% respectively on it. The sale price was:

Option 1: Rs. 9,720

Option 2: Rs. 9,750

Option 3: Rs. 9,760

Option 4: Rs. 9,780

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 9,720


Solution : Single discount of 20% and 10% = $20 + 10 - \frac{20\times 10}{100} = 28\%$
Now single discount of 20%, 10%, and 10% = $28 + 10 - \frac{28\times 10}{100} = 35.2\%$
SP of the piano = $15000×\frac{100\:–\:35.2}{100}$ = Rs. 9,720
Hence, the correct

22 Views

Question : Directions: Which of the following interchanges of numbers and mathematical signs would make the given equation correct?
729 × 81 ÷ 20 + 16 − 6 = 50

Option 1: 6 and 20, × and ÷

Option 2: 20 and 50, + and −

Option 3: 16 and 50, × and +

Option 4: 16 and 20, + and ÷

Team Careers360 23rd Jan, 2024

Correct Answer: 6 and 20, × and ÷


Solution : Given:
729 × 81 ÷ 20 + 16 − 6 = 50

Let's check the given options –
First option: 6 and 20, × and ÷
On interchanging the signs and numbers, we get –
⇒ 729 ÷ 81 ×

30 Views

Question : Find the value of the following expression.
$12\left(\sin^4 \theta+\cos^4 \theta\right)+18\left(\sin^6 \theta+\cos^6 \theta\right)+78 \sin^2 \theta \cos^2 \theta$

Option 1: 30

Option 2: 40

Option 3: 10

Option 4: 20

Team Careers360 25th Jan, 2024

Correct Answer: 30


Solution : $12(\sin^4 \theta+\cos^4 \theta)+18(\sin^6 \theta+\cos^6 \theta)+78 \sin^2 \theta \cos^2 \theta$
$=12[(\sin^2 \theta+\cos^2\theta)^2-2\sin^2 \theta \cos^2 \theta]+18[(\sin^2 \theta+\cos^2 \theta)^3-3\sin^2 \theta \cos^2 \theta(\sin^2 \theta+\cos^2\theta)]+78 \sin^2 \theta \cos^2 \theta$
$=12[1-2\sin^2 \theta \cos^2 \theta]+18[1-3\sin^2 \theta \cos^2 \theta]+78 \sin^2 \theta \cos^2 \theta$
$= 12-24\sin^2 \theta \cos^2 \theta+18-54\sin^2 \theta \cos^2 \theta+78 \sin^2 \theta

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Question : The Revolutionary Socialist Party was established in _______.

Option 1: 1936

Option 2: 1925

Option 3: 1940

Option 4: 1929

Team Careers360 24th Jan, 2024

Correct Answer: 1940


Solution : The correct answer is 1940.

The Revolutionary Socialist Party was established in 1940. It had its roots in the Bengali liberation movement and the Hindustan Socialist Republican Army. Tridib Chaudhuri was the founder of this party.

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Question : Value of $\sec^2\theta-\frac{\sin^2\theta-2\sin^4\theta}{2\cos^4\theta-\cos^2\theta}$ is:

Option 1: 1

Option 2: 2

Option 3: –1

Option 4: 0

Team Careers360 25th Jan, 2024

Correct Answer: 1


Solution : $\sec^2\theta-\frac{\sin^2\theta-2\sin^4\theta}{2\cos^4\theta-\cos^2\theta}$
$=\sec^2\theta-\frac{\sin^2\theta(1-2\sin^2\theta)}{\cos^2\theta(2\cos^2\theta-1)}$
$=\sec^2\theta-\frac{\sin^2\theta(1-2\sin^2\theta)}{\cos^2\theta[2(1-\sin^2\theta)-1]}$
$=\sec^2\theta-\frac{\sin^2\theta(1-2\sin^2\theta)}{\cos^2\theta(1-2\sin^2\theta)}$
$=\sec^2\theta-\tan^2\theta$
$=1$
Hence, the correct answer is 1.

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