Staff Selection Commission Sub Inspector Exam
Question : Directions: How many triangles are embedded in the figure given below?
Option 1: 16
Option 2: 6
Option 3: 22
Option 4: 24
Correct Answer: 16
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are a total of 16 triangles. They are ABI, AIH, IJH, BIJ, JFK, EFK, DEK, DKJ, DEJ, JEF, DEF, DFJ, BJH, ABH, AJH, ABJ.
Hence, the first option is
Question : The simplified value of $(\sqrt{3}+1)( 10+\sqrt{12})(\sqrt{12}-2)(5-\sqrt{3})$ is:
Option 2: 88
Option 3: 176
Option 4: 132
Correct Answer: 176
Solution : Given: $(\sqrt{3}+1)( 10+\sqrt{12})(\sqrt{12}-2)(5-\sqrt{3})$ ⇒ $(\sqrt{3}+1)( 10+2\sqrt{3})(2\sqrt{3}-2)(5-\sqrt{3})$ ⇒ $(\sqrt{3}+1)×2(5+\sqrt{3})×2(\sqrt{3}-1)×(5-\sqrt{3})$ ⇒ $4(\sqrt{3}+1)(\sqrt{3}-1)(5+\sqrt{3})(5-\sqrt{3})$ We know that, $a^2-b^2=(a+b)(a-b)$ Thus, = $4(3-1)(25-3)$ = $4×2×22$ = $176$ Hence, the correct answer is 176.
Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements Statements: All dogs are cats. Some cats are not dolls. Conclusions: I. All dolls are cats. II. Some cats are dogs.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Both the conclusions follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusion – Conclusion (I): All dolls are cats – From the above diagram, it is evident that there is a negative relation between dolls and cats,
Question : Select the most appropriate meaning of the given idiom. Fit as a fiddle
Option 1: To be extremely excited and energetic
Option 2: To be in good health
Option 3: Something is perfect
Option 4: A good and useful invention
Correct Answer: To be in good health
Solution : The second option is the correct answer.
The phrase "fit as a fiddle" is an idiomatic expression commonly used to describe someone who is in robust health and well-being. The comparison to a fiddle suggests a state of optimal fitness, as
Question : If $x^2-5 x+1=0$, then the value of $\left(x^4+\frac{1}{x^2}\right) \div\left(x^2+1\right)$ is:
Option 1: 21
Option 2: 22
Option 3: 25
Correct Answer: 22
Solution : $x^2 - 5x + 1 = 0$ $⇒x(x - 5 + \frac{1}{x}) = 0$ $⇒(x - 5 + \frac{1}{x}) = 0$ $⇒(x + \frac{1}{x}) = 5$ Cubing both sides, we get, $⇒(x + \frac{1}{x})^3 = 5^3$ $\because$ $(a + b)^3 = a^3 + b^3 +
Question : Ramesh gives a 15% additional discount along with a discount of 25% on the marked price of a sofa set. If the selling price of the sofa set is INR 12,750, then find the marked price of the sofa set.
Option 1: INR 20,000
Option 2: INR 23,000
Option 3: INR 22,000
Option 4: INR 24,000
Correct Answer: INR 20,000
Solution : Let's denote the marked price of the sofa set as \( M \). Given: Ramesh gives a discount of 25% on the marked price, which means the selling price becomes \( 0.75M \) after this discount. Additionally, Ramesh gives a 15% additional discount on
Question : Fundamental Rights are protected and guaranteed by the ____ of the country.
Option 1: government
Option 2: Constitution
Option 3: customs or usage
Option 4: panchayats
Correct Answer: Constitution
Solution : The correct answer is the Constitution.
Fundamental rights are protected and guaranteed by the Constitution of the country. These rights, enshrined in the Constitution, are essential liberties and privileges that individuals possess inherently. They safeguard against potential infringement by the government or any authority,
Question : Directions: In the following Venn diagram, the Circle stands for Journalists, the Triangle stands for Females and the Rectangle stands for Urban residents. The given numbers represent the number of persons in that particular category. How many journalists are females but not urban residents?
Option 1: 9
Option 2: 13
Option 4: 18
Correct Answer: 18
Solution : In the diagram, the shaded parts represent the journalists who are females but not urban residents.
Thus, the number of journalists who are females but not urban residents is 18. Hence, the fourth option is correct.
Question : Select the most appropriate option to replace the underlined word in the given sentence. There is no reason for him to be angry.
Option 1: logic
Option 2: sanity
Option 3: lucidity
Option 4: argument
Correct Answer: logic
Solution : The correct option is the first option.
Explanation: Logic refers to sound reasoning or rationality. In this context, it implies that there is no logical justification for him to be angry.
The meanings of the other options are as follows:
Question : Comprehension: Read the given passage and answer the questions that follow.
Early written symbols were based on pictographs (pictures which resemble what they signify) and ideograms (symbols which represent ideas). Ancient Sumerian, Egyptian, and Chinese civilizations began to adapt such symbols to represent concepts, developing them into logographic writing systems. Pictographs are still in use as the main medium of written communication in some non-literate cultures in Africa, the Americas, and Oceania. Pictographs are often used as simple, pictorial, representational symbols by most contemporary cultures.
Pictographs can be considered an art form, or can be considered a written language and are designated as such in pre-Columbian art, Native American art, Ancient Mesopotamia and Painting in the Americas before colonisation. One example of many is the Rock art of the Chumash people, part of the Native American history of California.
An early modern example of the extensive use of pictographs may be seen in the map in the London suburban timetables of the London and North Eastern Railway, 1936-1947, designed by George Dow, in which a variety of pictographs was used to indicate facilities available near each station. Pictographs remain in common use today, serving as pictorial, representational signs, instructions, or statistical diagrams. Because of their graphical nature and fairly realistic style, they are widely used to indicate public toilets or places such as airports and train stations. Because they are a concise way to communicate a concept to people who speak many different languages, pictograms have also been used extensively at the Olympics since the 1964 Summer Olympics, and are redesigned for each set of games.
Pictographs can often transcend languages in that they can communicate to speakers of a number of tongues and language families equally effectively, even if the languages and cultures are completely different. This is why road signs and similar pictographic material are often applied as global standards expected to be understood by nearly all.
A standard set of pictographs was defined in the international standard ISO 7001: Public Information Symbols. Other common sets of pictographs are the laundry symbols used on clothing tags and the chemical hazard symbols as standardised by the GHS system. Pictograms have been popularised in use on the web and in software, better known as ‘icons’ displayed on a computer screen in order to help users navigate a computer system or mobile device.
Question: Pictographs are used in Olympic games because:
Option 1: they are the main medium of written communication
Option 2: they can transcend languages and convey information effectively
Option 3: they can help to navigate computer systems
Option 4: they can be redesigned for each set of games
Correct Answer: they can transcend languages and convey information effectively
Solution : The correct choice is the second option.
Explanation: As stated in the last line of the third passage, which is "Because they are a concise way to communicate a concept to people who speak many different
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