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Staff Selection Commission Sub Inspector Exam

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Question : The value of $\frac{(m^2+n^2)(m-n)-(m-n)^3}{(m^2 n-m n^2)}$ is:

Option 1: $m + n$

Option 2: $m - n$

Option 3: $2$

Option 4: $\frac{m}{n}$

Team Careers360 21st Jan, 2024

Correct Answer: $2$


Solution : $\frac{(m^2+n^2)(m-n)-(m-n)^3}{(m^2 n-m n^2)}$
= $\frac{(m-n)[(m^2+n^2)-(m-n)^2]}{mn(m-n)}$
= $\frac{[m^2+n^2-m^2-n^2+2mn]}{mn}$
= $\frac{2mn}{mn}$
= $2$
Hence, the correct answer is 2.

96 Views

Question : Who among the following leaders founded the women's wing of Congress in 1940?

Option 1: Lakshmi Sahgal

Option 2: Sarojini Naidu

Option 3: Sucheta Kriplani

Option 4: Aruna Asaf Ali

Team Careers360 24th Jan, 2024

Correct Answer: Sucheta Kriplani


Solution : The correct option is Sucheta Kriplani.

The All India Mahila Congress, the women's wing of the Indian National Congress, was founded in 1940 by Sucheta Kriplani. She played a crucial role in promoting women's participation in politics and social issues.

14 Views

Question : The average number of runs scored by a batsman in 7 matches is 53 and in 9 other matches, his average is 33. What is the average number of runs scored by the batsman in 16 matches?

Option 1: 41.75

Option 2: 44.25

Option 3: 47

Option 4: 49.175

Team Careers360 23rd Jan, 2024

Correct Answer: 41.75


Solution : According to the question statement:
The sum of runs in 7 matches = 7 ⨯ 53 = 371
The sum of runs in 9 matches = 9 ⨯ 33 = 297
Total runs in 16 matches = 371 + 297 = 668
So, average runs

8 Views

Question : Who has been elected as the new King of Malaysia in January 2019?

Option 1: Sultan Abdul Halim

Option 2: Sultan Abdullah

Option 3: Sultan Nazrin Shah

Option 4: Sultan Muhammad V

Team Careers360 17th Jan, 2024

Correct Answer: Sultan Abdullah


Solution : The correct answer is Sultan Abdullah.

Sultan Abdullah was elected as Malaysia's new king in January 2019. He will be the king of Malaysia for the next five-year term, until January 2024. He also served as the head of the Asian Hockey Federation.

16 Views

Question : White phosphorus is always kept under:

Option 1: Benzene

Option 2: kerosene

Option 3: Ether

Option 4: Water

Team Careers360 20th Jan, 2024

Correct Answer: Water


Solution : The correct option is Water.

White phosphorus can ignite in air at temperatures as low as 30 degrees Celsius. White phosphorus is a highly reactive and flammable chemical compound. It is typically stored under water or in an inert gas atmosphere to prevent it from

14 Views

Question : Study the graph and answer the question.


The ratio of total imports in 2014, 2016, and 2017 of the country to the total exports in 2015 and 2016 is:

Option 1: 12 : 11

Option 2: 10 : 11

Option 3: 11 : 10

Option 4: 8 : 11

Team Careers360 21st Jan, 2024

Correct Answer: 11 : 10


Solution : From the given bar graph,
Total imports in 2014, 2016, and 2107 of the country are = 410 + 375 + 425
= 1210
Total exports of the country to the total exports in 2015 and 2016 is = 560 + 540
=

44 Views

Question : Foreign investment is known by which name in India?

Option 1: SME (Small and Medium-sized Enterprises)

Option 2: MDI (Management Development Institute)

Option 3: FDI (Foreign Direct Investment)

Option 4: CII (Confederation of Indian Industry)

Team Careers360 14th Jan, 2024

Correct Answer: FDI (Foreign Direct Investment)


Solution : The correct answer is FDI (Foreign Direct Investment).

The term "Foreign Direct Investment" (FDI) describes an investment made into another country by a person, business, or government. FDI fosters international trade by giving countries access to other markets, builds strong and

9 Views

Question : Select the most appropriate ANTONYM of the given word.
APPLAUD

Option 1: denounce

Option 2: magnify

Option 3: commend

Option 4: approve

Team Careers360 22nd Jan, 2024

Correct Answer: denounce


Solution : The first option is the correct answer.

The word applaud means to express approval, admiration, or praise, often through enthusiastic clapping or cheering. On the other hand, the antonym denounce entails publicly condemning or criticising or expressing strong disapproval or rejection of someone or something.

38 Views

Question : As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters all sit on the large semicircle's diameter. What is the ratio between the red and blue areas?

Option 1: 4 : 3

Option 2: 1 : 2

Option 3: 2 : 1

Option 4: 3 : 4

Team Careers360 21st Jan, 2024

Correct Answer: 1 : 2


Solution :
Let the radius of the smaller semicircle be $r$.
According to the question,
The radius of the bigger semicircle with respect to the smaller circle will be $3r$.
Area of the small semicircle = $\frac{\pi r^2}{2}$
Area of the large semicircle = $\frac

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