Staff Selection Commission Sub Inspector Exam
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: $\frac{m}{n}$
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.
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
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.
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
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
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
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.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
The Amazon is the world’s largest tropical rainforest. It is (1)______ the size of the continent of Australia and covers (2)______ area of nearly 2.8 million square miles. The Amazon rainforest gets its life from the (3)______ Amazon River which runs through the heart (4)______ the region. The rainforest is simply the drained basin for the river and its (5)______. The vast forest consists of four layers, each featuring its own ecosystems and specially adapted plants and animals. Question: Select the most appropriate option to fill in the blank no. 5.
Option 1: continents
Option 2: tributaries
Option 3: tributes
Option 4: rainforests
Correct Answer: tributaries
Solution : The correct choice to fill in the blank is the second option.
Explanation: Considering the context, the rainforest is described as the drained basin for the river, implying that the river contributes to the formation of the rainforest. Hence, the correct term to fill in
Question : White phosphorus is always kept under:
Option 1: Benzene
Option 2: kerosene
Option 3: Ether
Option 4: Water
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
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
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 =
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)
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
Question : Select the most appropriate ANTONYM of the given word. APPLAUD
Option 1: denounce
Option 2: magnify
Option 3: commend
Option 4: approve
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.
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
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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