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Staff Selection Commission Combined Graduate Level Exam

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Question : ABCD is a cyclic quadrilateral and BC is the diameter of the related circle on which A and D also lie. $\angle \mathrm{BCA}=19°$ and $\angle \mathrm{CAD}=32°$. What is the measure of $\angle \mathrm{ACD}$?

Option 1: 41°

Option 2: 38°

Option 3: 40°

Option 4: 39°

Team Careers360 25th Jan, 2024

Correct Answer: 39°


Solution :
Given,
$\angle{CAD}=32°$ and $\angle{BCA}=19°$
We know, that the angle formed by the diameter is 90°.
⇒ $\angle{BAC}=90°$
The sum of the opposite angle of a quadrilateral = 180°.
⇒ $\angle{CAD}+\angle{BAC}+\angle{BCA}+\angle{ACD}=180°$
⇒ $32°+90°+19°+\angle{ACD}=180°$
⇒ $141°+\angle{ACD}=180°$
⇒ $\angle{ACD}=180°-141°$
⇒ $\angle{ACD}=39°$
Hence, the correct answer is 39°.

13 Views

Question : "Amatya" in the Saptang Theory of Kautilya denotes which of the following?

Option 1: Friend

Option 2: Minister and officials

Option 3: Fort

Option 4: Territory

Team Careers360 25th Jan, 2024

Correct Answer: Minister and officials


Solution : The correct option is the minister and officials.

In the Saptanga Theory of Kautilya, Amatya refers to ministers and officials. The Saptanga Theory, also known as the theory of the seven elements of the state, is a concept from the ancient Indian treatise

19 Views

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.

They persisted (1) / on their going (2) / in spite of rain. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 25th Jan, 2024

Correct Answer: (2)


Solution : The error lies in the second part of the sentence.

The phrase "on their going" should be replaced with "in going", as "persisted in" means to do something with having no intention to stop. This helps in conveying the intended meaning that they did not

11 Views

Question : Which country hosted the FIFA World Cup 2022?

Option 1: Japan

Option 2: Qatar

Option 3: France

Option 4: USA

Team Careers360 25th Jan, 2024

Correct Answer: Qatar


Solution : Correct answer is Qatar

The FIFA World Cup took place in Qatar from 20 November to 18 December 2022.  And 32 teams participated in this world cup. It was the first world cup which was held in the Arab world. Brazil is the most successful

51 Views

Question : Select the most appropriate option to fill in the blank.

This drama is extremely informative __________ life in Roman times.

Option 1: on

Option 2: of

Option 3: about

Option 4: for

Team Careers360 25th Jan, 2024

Correct Answer: about


Solution : The correct choice is the third option.

Explanation: The word "informative" is often used with the preposition "about" when describing the subject matter or content of something. In this context, the sentence discusses the content of the drama and its informative nature regarding life

4 Views

Question : Directions: Select the option figure that is embedded in the given figure (rotation is NOT allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the third option figure is embedded in the given question figure.

Hence, the third option is correct.

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