Staff Selection Commission Sub Inspector Exam
Question : Two medians AD and BE of $\triangle$ ABC intersect at G at right angles. If AD = 9 cm and BE = 6 cm, then the length of BD (in cm) is:
Option 1: 10
Option 2: 6
Option 3: 5
Option 4: 3
Correct Answer: 5
Solution : Given: AD = 9 cm BE = 6 cm $\angle$DGB = 90° Here, the point of intersection of its medians, G divides the median in the ratio 2:1. So, DG = $\frac{1}{3}×$AD = $\frac{1}{3}×9=3$ cm BG = $\frac{2}{3}×$BE = $\frac{2}{3}×6=4$ cm From Pythagoras theorem we
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I) All cardiologists are doctors. II) Some cardiologists are neurologists. Conclusions: I) Some doctors are cardiologists. II) Some doctors are neurologists.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some doctors are cardiologists – From the Venn diagram, it is evident that some parts of the circle representing doctors
Question : Directions: In the following question, some parts of the sentence may have 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".
Aayushi has come (1) / here to do a master (2) / degree in Social Work. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error lies in the second part of the sentence.
The word "master" should be replaced with "master's" to indicate that Aayushi is pursuing a master's degree, which is a possessive form. Instead of "do a master" it should be "pursue a master's" as a
Question : Leshalaptu is a folk dance of which Indian state?
Option 1: Nagaland
Option 2: Kerala
Option 3: Goa
Option 4: Karnataka
Correct Answer: Nagaland
Solution : The correct answer is Nagaland
The Nagaland folk dance is called Leshalaptu. Aaluyattu, Agurshikukula, Butterfly Dance, Changai Dance, Khamba Lim, Kuki Dance, Mayur Dance, Modse, Monyo Asho, Sadal Kekai, Seecha and Kukui Kucho, Shankai and Moyashai, Rengma, etc., are some of the other folk dances
Question : The pie chart represents the percentage of people in a city who are interested in buying a laptop from five different companies - A, B, C, D, and E. The number of people interested in buying company A's laptop is what percentage of the number of people interested in buying company D's laptop?
Option 1: 135%
Option 2: 125%
Option 3: 150%
Option 4: 155%
Correct Answer: 155%
Solution : People interested in buying company A's laptop = 31% People interested in buying company D's laptop = 20% Required percentage = $\frac{\text{People interested in A}}{\text{People interested in D}}\times 100$ = $\frac{31}{20}\times 100$ = 155% Hence, the correct answer is 155%.
Question : In the given figure, point O is the centre of a circle of radius 13 cm and AB is a chord perpendicular to OD. If CD = 8 cm, what is the length (in cm) of AB?
Option 1: 6 cm
Option 2: 12 cm
Option 3: 24 cm
Option 4: 28 cm
Correct Answer: 24 cm
Solution : Given, Radius = 13 cm CD = 8 cm ⇒ OC = 13 – 8 = 5 cm [As OD is the radius] In $\triangle AOC$, Using Pythagoras theorem, we get, $AO^2=OC^2+AC^2$ ⇒ $13^2=5^2+AC^2$ ⇒ $AC^2=169-25$ ⇒ $AC=\sqrt{144}$ $\therefore AC = 12$ cm Now,
Question : Directions: The bar graph given below represents the number of boys in a school using three apps for three months.
What is the percentage decrease in the number of boys using Facebook from January to February?
Option 1: 26.66%
Option 2: 20%
Option 3: 21.33%
Option 4: 16.66%
Correct Answer: 16.66%
Solution : As per the given graph, The number of boys using Facebook in January = 600 The number of boys using Facebook in February = 500 The percentage decreases $=\frac{600-500}{500}×100=16.66\%$ Hence, the correct answer is 16.66%.
Question : Who among the following is not a Bharat Ratna recipient?
Option 1: Nelson Mandela
Option 2: Khan Abdul Ghaffar Khan
Option 3: Mother Teresa
Option 4: Baldev Singh
Correct Answer: Baldev Singh
Solution : The correct option is Baldev Singh
Baldev Singh is not a Bharat Ratna recipient. The other three, Mother Teresa (1980), Khan Abdul Ghaffar Khan (1987), and Nelson Mandela (1990), all received the prestigious award, each signifying India's recognition for their exceptional contributions to humanity.
Question : Select the option that can be used as a one-word substitute for the given group of words. To criticise someone severely
Option 1: Rate
Option 2: Remonstrate
Option 3: Chastise
Option 4: Scoff
Correct Answer: Chastise
Solution : The third option is correct.
The one-word substitute for the given group of words, to criticise someone severely, is chastise. Chastise means to reprimand or criticise severely.
Therefore, the correct answer is chastise.
Question : Which of the following acts prevents disrespect to the national flag and national anthem?
Option 1: Protection of National Honour Act, 1996
Option 2: Civil Liberties Act, 2001
Option 3: Unlawful Activities (Prevention) Act, 2006
Option 4: Prevention of Insults to National Honour Act, 1971
Correct Answer: Prevention of Insults to National Honour Act, 1971
Solution : The correct option is the Prevention of Insults to National Honour Act, of 1971.
In India, the Prevention of Insults to National Honour Act of 1971 is the legislation that prevents disrespect to the national flag and
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