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Staff Selection Commission Combined Graduate Level Exam

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Question : $\frac{\sin^4 \theta+\cos^4 \theta}{1-2 \sin^2 \theta  \cos^2 \theta}=$____.

Option 1: 1

Option 2: 2

Option 3: – 1

Option 4: 0

Team Careers360 24th Jan, 2024

Correct Answer: 1


Solution : Given:
$\frac{\sin^4 \theta+\cos^4 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$
= $\frac{\sin^4\theta+\cos^4\theta+2\sin^2\theta \cos^2\theta-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$
= $\frac{(\sin^2\theta+\cos^2\theta)^2-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin ^2 \theta \cos^2 \theta}$
= $\frac{1-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$ [$\because \sin^2\theta+\cos^2\theta=1$]
= $1$
Hence,

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Question : Directions: Kishore starts from a point and walks 6 km towards the east and turning to his left he moves 3 km after this, he again turns to his left and moves 6 km. Now how far is he from his starting point?

Option 1: 3 km

Option 2: 2 km

Option 3: 4 km

Option 4: 5 km

Team Careers360 24th Jan, 2024

Correct Answer: 3 km


Solution : Firstly, we will draw the diagram as per the given instructions –

Now, we have to find the distance between starting and endpoints.

In the figure, A is the starting point and D is the finishing point. So, AD is the distance from the

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Question : Identify the chemical formula of Ammonium Hydroxide.

Option 1: NH4OH

Option 2: NH4O2

Option 3: NH3O

Option 4: NH2OH

Team Careers360 25th Jan, 2024

Correct Answer: NH4OH


Solution : The correct option is NH4OH.

The chemical formula for an ammonia solution in water is NH4OH. There are several names for this mixture, including aqueous Ammonia, Ammonia liquor, Ammonia water, and ammonium Hydroxide. It is used as a

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Question : "Nupa" dance is associated with which Indian state?

Option 1: Karnataka

Option 2: Manipur

Option 3: Jharkhand

Option 4: Tamil Nadu

Team Careers360 24th Jan, 2024

Correct Answer: Manipur


Solution : The correct option is Manipur.

The Nupa dance is associated with the Indian state of Manipur. It is a traditional dance form performed by male artists, often characterised by dynamic and rhythmic movements. The Nupa dance is a significant cultural expression in Manipuri traditions,

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Question : Fleming's right hand rule is used to find the direction of the 

Option 1: Alternate current 

Option 2: Direct current 

Option 3: Induced current

Option 4: Actual current

Team Careers360 24th Jan, 2024

Correct Answer: Induced current


Solution : The correct option is induced current.

The direction of the induced current (or electromotive force) produced in a conductor travelling through a magnetic field is determined using Fleming's right-hand rule.

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Question : On International Women's Day 2022, the Ministry of MSME launched an entrepreneurship drive for women by which of the following names?

Option 1: SAMARTH

Option 2: NIRBHAYA

Option 3: SWADHAR

Option 4: UJJWALA

Team Careers360 24th Jan, 2024

Correct Answer: SAMARTH


Solution : The correct option is SAMARTH.

On International Women's Day 2022, Union Minister for Micro, Small and Medium Enterprises ( MSME), Shri Narayan Rane, along with Minister of State for MSME, Shri Bhanu Pratap Singh Verma, launched the Special Entrepreneurship Promotion Drive for Women -

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Question : On the occasion of National Youth Day on 12th January 2023, also known as Vivekananda Jayanti, the Government of India gave awards to 82 __ of the best in the country.

Option 1: engineers

Option 2: agripreneurs

Option 3: doctors

Option 4: teachers

Team Careers360 24th Jan, 2024

Correct Answer: agripreneurs


Solution : The correct answer is agripreneurs.

The 2023 National Youth Day, celebrated as Vivekananda Jayanti in New Delhi, honoured 82 top agri-entrepreneurs with National Awards for their notable contributions to farmers through the Government of India's Central Sector Scheme for Agri-Clinics and Agri-Business (AC & ABC).

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Question : Comprehension:

Read the given passage and answer the questions that follow.

A piano teacher described an interesting encounter she had had with a young lady who came to inquire about music lessons. The young lady asked her, “How long will this course take?

My father tells me that it is in fashion now to be able to play musical instruments and that I should learn one quickly. I want something that will be quick, fast, and easy like, like….” When the amused teacher explained that it would take a lifetime of meticulous practice to learn music, her face fell and, needless to say, she never came back. The single most important factor that distinguishes those of us who succeed in any venture and those of us who don’t is this ‘instant coffee’ attitude. Most of us want results quickly. We want to reach the top immediately and get worked up when things go wrong. Perseverance and patience are forgotten words. We get upset, frustrated, and angry when a skill or activity requires us to put in a lot of effort and time. We get dejected and want to give it up. But such thinking serves no good. For, it doesn’t solve the problem. Life is tough for those with an ‘instant coffee’ attitude.

Success, real success, and happiness come to those who have a ‘bread-making’ attitude those who are willing to knead the dough, wait for hours for it to rise, only to punch it down and knead some more, wait for another couple of hours for it to rise again, and then bake it before it is ready to be eaten. Nothing is instantaneous. For every endeavour – whether in the area of career, academics, music, sports, relationships, physical fitness or even spirituality – it is a long, arduous journey.

Only if we are willing to put in the time, and painstaking effort and have faith, can we get results. If we don’t accept this difficult but true fact of life, our lives will be far from being happy and fulfilling. For we may not make that extra effort which can change the course of life dramatically, for the good. The major problem with these ‘instant coffee’ solutions is that they are invariably short-lived. If we stubbornly refuse to give up this search for quick solutions, all we do is end up on the wrong track.

Question:

What do you understand by the term ‘instant coffee attitude’?

Option 1: Passion to learn something

Option 2: Short-lived pleasure

Option 3: Expecting quick results

Option 4: Keeping up with the latest trends

Team Careers360 24th Jan, 2024

Correct Answer: Expecting quick results


Solution : The correct choice is the third option.

In the last sentence of the last paragraph, it states that the instant coffee attitude implies short-lived or instant solutions, which often lead to the wrong track.

Therefore, the correct answer is: expecting quick results

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