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Staff Selection Commission Combined Graduate Level Exam

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Question : If $5 \sin^2 A+3 \cos^2 A=4$, $0<A<90°$, then what is the value of $\tan A$?

Option 1: 0

Option 2: 3

Option 3: 1

Option 4: 2

Team Careers360 22nd Jan, 2024

Correct Answer: 1


Solution : Given: $5\sin^2 A+3\cos^2 A=4$
⇒ $2\sin^2 A+ 3\sin^2A + 3\cos^2 A=4$
⇒ $2 \sin^2 A+3=4$...........[Using $ \sin^2 A+ \cos^2 A=1$]
⇒ $\sin^2 A=\frac{1}{2}$
⇒ $\sin A=\frac{1}{\sqrt{2}}$
⇒ $A=45°$
So, $\tan A=1$
Hence, the correct answer is 1.

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Question : Directions: In the following question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four as your answer.

We should go ______ doing more good than harm.

Option 1: on

Option 2: above

Option 3: about

Option 4: to

Team Careers360 22nd Jan, 2024

Correct Answer: about


Solution : The correct choice is the third option.

The preposition about is the correct choice, as it helps form the phrasal verb, which means to deal with something.

The meanings of the other options are as follows:

  • Go on means to continue.
  • Go to means
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Question : Select the correct spelling for the INCORRECTLY spelt word in the given sentence.

Education plays a crucal role in breaking the cycle of poverty and child labour.

Option 1: proverty

Option 2: crucial

Option 3: braking

Option 4: edukation

Team Careers360 21st Jan, 2024

Correct Answer: crucial


Solution : The correct choice is the fourth option.

"Crucial" means extremely important or essential, often to the success or effectiveness of something. It denotes a critical or decisive element that has a significant impact on the outcome or functioning of a situation, process, or event.

The

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Question : The first Commonwealth Games in 1930 was held in which country ?

Option 1: Australia

Option 2: England

Option 3: New Zealand

Option 4: Canada

Team Careers360 24th Jan, 2024

Correct Answer: Canada


Solution : The correct option is - Canada.

The first British Empire Games, which are now known as the Commonwealth Games, were held in Hamilton, Ontario, from August 16 to 23, 1930.


The sports were wrestling, lawn bowling, rowing, swimming, and athletics.
 Women only took part in

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Question : R. G. Bhandarkar was a popular leader of which reforming society?

Option 1: Prarthana Samaj

Option 2: Arya Samaj

Option 3: Theosophical Society

Option 4: Brahmo Samaj

Team Careers360 22nd Jan, 2024

Correct Answer: Prarthana Samaj


Solution : The correct option is Prarthana Samaj.

R. G. Bhandarkar, also known as Ramakrishna Gopal Bhandarkar, was a prominent figure in Indian education and social reform during the late 19th and early 20th centuries. He was associated with the Prarthana Samaj, a prominent reformist

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Question : Describe how you will tell your parents that Suraj is loved by Siva in an active voice.

Option 1: Siva is been loving Suraj.

Option 2: Suraj loved Siva.

Option 3: Siva loves Suraj.

Option 4: Siva were loving Suraj.

Team Careers360 24th Jan, 2024

Correct Answer: Siva loves Suraj.


Solution : The correct choice is the third option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.

The structure of the active voice

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Question : Five members of a team are weighted consecutively, and their average weight is calculated after each member is weighted. If the average weight increases by one kilogram each time, how much heavier is the last player than the first one?

Option 1: 4 kg

Option 2: 20 kg

Option 3: 8 kg

Option 4: 5 kg

Team Careers360 24th Jan, 2024

Correct Answer: 8 kg


Solution : Let the average weight of 1st member be $x$ kg.
Given: The average weight increases by one kilogram each time.
Average weight of first two members $= (x+1)$ kg
Total weight of 1st two members $= 2(x+1) = 2x+2$
Weight of 2nd member $=

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Question : The boiling point of water depends upon the:

Option 1: atmospheric pressure

Option 2: volume

Option 3: density

Option 4: mass

Team Careers360 21st Jan, 2024

Correct Answer: atmospheric pressure


Solution : The correct option is atmospheric pressure.

The atmospheric pressure influences the boiling point of water. In simple terms, the boiling point is the temperature at which a liquid's vapour pressure equals atmospheric pressure. The boiling point of water fluctuates as the atmospheric pressure varies

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