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Staff Selection Commission Combined Graduate Level Exam

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Question : The value of $\frac{2 \tan 60^{\circ}}{1+\tan ^2 60^{\circ}}$ is:

Option 1: $\cos 60°$

Option 2: $\tan 60°$

Option 3: $\sin 60°$

Option 4: $\sin 30°$

Team Careers360 20th Jan, 2024

Correct Answer: $\sin 60°$


Solution : Given, $\frac{2 \tan 60°}{1+\tan ^2 60°}$
$=\frac{\frac{2\sin60°}{\cos60°}}{1+\frac{\sin^260°}{\cos^260°}}$
$=\frac{2\sin60°\times\cos^260°}{\cos60°(\cos^260°+\sin^260°)}$
$=\frac{2\sin60°\cos60°}{1}$ [As $\cos^2\theta+\sin^2\theta=1$]
$=2\times\frac{\sqrt3}{2}\times\frac12$
$=\frac{\sqrt3}{2}=\sin60°$
Hence, the correct answer is $\sin60°$.

6 Views

Question : Who among the following has won Oscars as well as Golden Globe Awards for his contribution to International music?

Option 1: Pandit Jasraj

Option 2: A. R. Rahman

Option 3: Ravi Shankar

Option 4: Zakir Hussain

Team Careers360 22nd Jan, 2024

Correct Answer: A. R. Rahman


Solution : The correct answer is A. R. Rahman.

The individual who has won both Oscars and Golden Globe Awards for his contribution to international music is A. R. Rahman. He is renowned for his work in the film industry and has received numerous accolades

8 Views

Question : Direction: Choose the appropriate combination of signs to solve the equation.

(16 + 18) * (21 - 11) * 32 * 8

Option 1: - x =
 

Option 2: - = -

Option 3: + = -

 

Option 4: / - =

Team Careers360 20th Jan, 2024

Correct Answer: - = -


Solution : Given – (16 + 18) * (21 - 11) * 32 * 8

Solving the equation by substituting the options.

Option first: - x = 

(16 + 18) - (21 - 11) x 32 = 8. Here, LHS is not equal to RHS,

21 Views

Question : Paramvir Chakra, Ashok Chakra and Vir Chakra are presented during the celebration of which day?

Option 1: Republic Day

Option 2: Independence Day

Option 3: Gandhi Jayanti

Option 4: Indian Air Force Day

Team Careers360 17th Jan, 2024

Correct Answer: Republic Day


Solution : The correct option is Republic Day.

The Param Vir Chakra, Ashoka Chakra, and Vir Chakra, which are among India's highest military decorations, are typically bestowed during Republic Day ceremonies.

Republic Day, observed on January 26 each year, commemorates the day when India's Constitution

12 Views

Question : The main effect of direct taxes is on:

Option 1: food prices

Option 2: consumer goods

Option 3: capital goods

Option 4: income

Team Careers360 15th Jan, 2024

Correct Answer: income


Solution : The correct option is income.

Direct taxes are levied against particular individuals or entities and cannot be passed on to another party. These taxes are computed depending on the taxpayer's income, profits, or assets. Therefore, the primary impact of direct taxes is on the

18 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.
A person who criticises traditional beliefs and customs

Option 1: Heretic

Option 2: Absconder

Option 3: Apostle

Option 4: Iconoclast

Team Careers360 17th Jan, 2024

Correct Answer: Iconoclast


Solution : The fourth option is the correct answer.

Iconoclast is a person who challenges or criticises traditional or established beliefs, practices, or institutions, especially in the arts or religion.

The meanings of the other options are as follows:

  • A heretic is a person who holds controversial
6 Views

Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.

A. For this, he had set up an alarm to ring at intervals until morning.
B. So, he made sure he was awakened every hour during the night.
C. He strangely believed that he was likely to cease breathing when asleep.
D. A nervous cousin of mine was staying with us.

Option 1: DBCA

Option 2: DBAC

Option 3: DACB

Option 4: DCBA

Team Careers360 15th Jan, 2024

Correct Answer: DCBA


Solution : The correct choice is the fourth option.

Sentence D introduces a nervous cousin as a central character and sets the stage for the narrative, followed by sentence C, which provides information about the cousin's unusual fear related to sleeping. It expands on the cousin's

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