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Staff Selection Commission Sub Inspector Exam

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Question : If $\operatorname{cosec} 39°=x$, then the value of $\frac{1}{\operatorname{cosec}^{2}51°}+\sin^{2}39°+\tan^{2}51°-\frac{1}{\sin^{2}51°\sec^{2}39°}$ is:

Option 1: $\sqrt{x^{2}-1}$

Option 2: $\sqrt{1-x^{2}}$

Option 3: $x^{2}-1$

Option 4: $1-x^{2}$

Team Careers360 13th Jan, 2024

Correct Answer: $x^{2}-1$


Solution : Given: $\frac{1}{\operatorname{cosec}^{2}51°}+\sin^{2}39°+\tan^{2}51°-\frac{1}{\sin^{2}51°\sec^{2}39°}$
= ${\sin^{2}51°}+\sin^2(90°-51°)+\tan^{2}51°-\frac{\cos^{2}39°}{\sin^{2}(90°-39°)}$
= ${\sin^{2}51°}+\cos^251°+\tan^{2}51°-\frac{\cos^{2}39°}{\cos^{2}39°}$
= $1+\tan^251°-1$
= $1+\cot^239°-1$ $[\because \tan^251°=\cot^239°]$
= $\operatorname{cosec}^239°-1 $
= $x^{2}-1$
Hence, the correct answer is $x^{2}-1$.

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Question : The Greeks viewed "politics" based on?

Option 1: Both ethical and legalistic terms

Option 2: Ethical terms

Option 3: Terms of power

Option 4: Legalistic terms

Team Careers360 16th Jan, 2024

Correct Answer: Ethical terms


Solution : The correct answer is Ethical terms.

The Greek understanding of politics was fundamentally rooted in morality. To improve the standard of living for all inhabitants, they saw politics as the practice of establishing peaceful communal living. Many Greek philosophers, including Plato and Aristotle,

35 Views

Question : Direction: Select the Venn diagram that best represents the relationship between the following classes.
Days, Hours, Weeks

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 19th Jan, 2024

Correct Answer:


Solution : Based on the general information, hours make the days, and days make the weeks. So, the circle that represents hours will lie inside the circle that represents days and the circle that represents days will lie inside the circle that represents weeks.
Therefore, the Venn diagram

15 Views

Question : Which of the following styles of painting belongs to Maharashtra?

Option 1: Madhubani

Option 2: Kalam

Option 3: Miniature

Option 4: Warli

Team Careers360 10th Jan, 2024

Correct Answer: Warli


Solution : The correct option is Warli.

The Warli region in Maharashtra is the place of origin of the ancient tribal art form known as Warli painting. Warli paintings are distinguished by their geometric designs, which are straightforward but unique. Typically, the art form depicts aspects

18 Views

Question : Hertz is a unit for measuring.

Option 1: Intensity of waves

Option 2: Frequency of waves

Option 3: Wavelength

Option 4: Clarity of waves

Team Careers360 9th Jan, 2024

Correct Answer: Frequency of waves


Solution : The correct option is the Frequency of waves.

The unit of measurement for frequency is Hertz (Hz). It is used to express how many oscillations or cycles of a wave in a second. One cycle per second is referred to as one hertz.

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Question : Select the most appropriate synonym of the given word.
Reluctant

Option 1: Definite

Option 2: Hesitant

Option 3: Confident

Option 4: Indiscreet

Team Careers360 25th Jan, 2024

Correct Answer: Hesitant


Solution : The correct choice is the second option.

Reluctant means being unwilling or hesitant to do something. When someone is reluctant, they might be resistant or unwilling due to various reasons. The word hesitant describes a state of uncertainty or indecision before taking action.

Both

13 Views

Question : Directions: In the given figure, how many white apples are there?

Option 1: 37

Option 2: 73

Option 3: 36

Option 4: 88

Team Careers360 15th Jan, 2024

Correct Answer: 73


Solution : In the below diagram, the shaded region is common to both white and apple. According to the question, need to find the common area between white and apple but there is no direction given that the region belonging to the sweet can not be included. 

27 Views

Question : Directions: If in a certain code, COATED is written as X41G2W, then how will ORIENTAL be written in that code?

Option 1: I432NGZP

Option 2: 4I32NGZP

Option 3: 4I32MG1O

Option 4: I432MGZO

Team Careers360 19th Jan, 2024

Correct Answer: 4I32MG1O


Solution : Given:
COATED is written as X41G2W.

Code vowels as A→1; E→2; I→3; O→4; U→5 and consonants are coded with opposite letters of COATED, to obtain the required code –
C→X; O→4; A→1; T→G; E→2; D→X
Thus, COATED is coded as X41G2DX.
Similarly, follow the same

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Question : To overturn the British rule through arms, the Kakori Conspiracy was planned by the members of the ______ in 1925.

Option 1: Hindustan Republican Association

Option 2: Indian National Congress

Option 3: Indian National Army

Option 4: Gadar Party

Team Careers360 17th Jan, 2024

Correct Answer: Hindustan Republican Association


Solution : The correct answer is the Hindustan Republican Association.

The August 9, 1925, Kakori train incident, also known as the Kakori train robbery or armed robbery, occurred on a train in northern Uttar Pradesh in north-central India. The raiders belonged to the Hindustan

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