Staff Selection Commission Sub Inspector Exam
Question : In $\Delta$PQR, $\angle$P : $\angle$Q : $\angle$R = 2 : 2 : 5. A line parallel to QR is drawn which touches PQ and PR at A and B respectively. What is the value of $\angle$PBA – $\angle$PAB?
Option 1: 60º
Option 2: 30º
Option 3: 20º
Option 4: 50º
Correct Answer: 60º
Solution :
In a triangle, the angles are in the ratio 2 : 2 : 5. Let the angles are $2x$, $2x$, and $5x$ respectively, where $x$ is a constant. Since the sum of the angles in a triangle is \(180^\circ\). $⇒2x + 2x + 5x = 180^\circ$ $⇒x = 20^\circ$ $\angle P = \angle Q = 40^\circ$ and $\angle R = 100^\circ$. Since a line AB parallel to QR is drawn which touches PQ and PR at A and B, by the corresponding angles theorem. $⇒\angle PAB = \angle Q = 40^\circ$ and $\angle PBA = \angle R = 100^\circ$. $⇒\angle PBA - \angle PAB = 100^\circ - 40^\circ = 60^\circ$ Hence, the correct answer is 60º.
Question : If $0°<\theta<90°$ and $2\sec\theta =3 \operatorname{cosec}^2 \theta$, then $\theta$ is:
Option 1: $\frac{\pi}{6}$
Option 2:
$\frac{\pi}{4}$
Option 3:
$\frac{\pi}{3}$
Option 4:
$\frac{\pi}{5}$
Correct Answer:
Solution : Given: $0°<\theta<90°$ and $2\sec\theta =3 \operatorname{cosec}^2 \theta$ $2\sec\theta =3 \operatorname{cosec}^2 \theta$ $⇒\frac{2}{\cos\theta}=\frac{3}{\sin^2\theta}$ Squaring both sides, we get, $\frac{4}{\cos^2\theta}=\frac{9}{\sin^4\theta}$ $⇒4\sin^4\theta+9\sin^2\theta-9=0$ $⇒(\sin^2\theta+3)(4\sin^2\theta-3)=0$ $\therefore \sin\theta= \sqrt{-3} , \frac{\sqrt{3}}{2}$ The value of $\sin\theta$ can't be $\sqrt{-3}$. $⇒\sin\theta= \frac{\sqrt{3}}{2}=\sin60°$ $\therefore \theta=60°=\frac{\pi}{3}$ Hence, the correct answer is $\frac{\pi}{3}$.
Question : White coal is
Option 1: Uranium
Option 2: Hydro-electricity
Option 3: Diamond
Option 4: Ice
Correct Answer: Hydro-electricity
Solution : The correct option is Hydroelectricity.
Sometimes the term "white coal" refers to hydroelectricity. Hydroelectricity is produced by harnessing the energy of moving or falling water, often via the use of dams and turbines to transform the kinetic energy of the water into electrical energy. It is seen as a clean and renewable source of energy, in the same way that coal is regarded as a fossil fuel. When compared to regular coal, which is a non-renewable and polluting energy source, the term "white coal" emphasises the ecologically favourable and renewable qualities of hydroelectric electricity.
Question : Which part of the brain is instrumental in making it possible for a person to perform an activity such as picking up a pencil from the floor?
Option 1: Cranium
Option 2: Hypothalamus
Option 3: Cerebrum
Option 4: Cerebellum
Correct Answer: Cerebellum
Solution : The correct answer is Cerebellum.
The top region of the brain is called the cerebrum. It receives information from the sensory organs, interprets it, and commands the body. Additionally, the cerebrum is main in mental processes like thinking, emotion regulation and remembering. Taking a pencil off a table is one instance of this.
Question : In which of the following countries was the 1979 Asian Wrestling Championships organised by the Asian Associated Wrestling Committee (AAWC) for the first time?
Option 1: Lahore, Pakistan
Option 2: Oarai, Japan
Option 3: Jalandhar, India
Option 4: Tehran, Iran
Correct Answer: Jalandhar, India
Solution : The correct option is Jalandhar, India.
The 1979 Asian Wrestling Championships were organized by the Asian Associated Wrestling Committee (AAWC) for the first time in Jalandhar, India. The championship starts with the men's events, but female events were added in 1996. Iran has the highest number of medals, which is 317.
Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given alternatives. 14, 29, 60, 123, ?
Option 1: 210
Option 2: 250
Option 3: 196
Option 4: 158
Correct Answer: 250
Solution : Given: 14, 29, 60, 123,?
Multiply the previous term by 2 and then add consecutive natural numbers to obtain the next term in the series – 14 × 2 + 1 = 29 29 × 2 + 2 = 60 60 × 2 + 3 = 123 123 × 2 + 4 = 250
So, 250 is the missing term of the series. Hence, the second option is correct.
Question : Which of the following Articles of the Constitution gives the right to consult a legal practitioner of one's choice?
Option 1: Article 19
Option 2: Article 21
Option 3: Article 22
Option 4: Article 20
Correct Answer: Article 22
Solution : The correct answer is Article 22.
Article 22 of the Indian Constitution (1950) safeguards the rights of individuals arrested. It ensures that a person, upon arrest, must be promptly informed of the grounds for arrest and has the right to consult and be defended by a legal practitioner of their choice. Additionally, anyone arrested must be brought before the nearest magistrate within 24 hours, excluding travel time, and cannot be held in custody beyond this period without magistrate authorisation.
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'. The authorities are looked on the matter.
Option 1: are looking on the matter
Option 2: are looking into the matter
Option 3: are looked into the matter
Option 4: No substitution
Correct Answer: are looking into the matter
Solution : The correct choice is the second option.
Explanation: In the given sentence, the action is occurring in the present, we generally use the continuous form of the verb "look", i.e., "looking".
The meaning of the phrase "look into" is to peruse, investigate, or examine something. Hence, "into" should be used.
Therefore, the correct sentence is: "The authorities are looking into the matter."
Question : Comprehension: Read the given passage and answer the questions that follow.
“The two great empires of Lilliput and Blefuscu have been engaged in a most obstinate war for six-and-thirty moons past. It began upon the following occasion. It is allowed on all hands that the primitive way of breaking eggs, before we eat them was upon the larger end; but his present majesty’s grandfather, while he was a boy, going to eat an egg, and breaking it according to the ancient practice, happened to cut one of his fingers. Whereupon the emperor's father published an edict, commanding all his subjects, upon great penalties, to break the smaller end of their eggs. The people so highly resented this law, that our histories tell us, there have been six rebellions raised on that account; wherein one emperor lost his life, and another his crown. These civil commotions were constantly fomented by the monarchs of Blefuscu; and when they were quelled, the exiles always fled for refuge to that empire. It is computed that eleven thousand persons have at several times suffered death, rather than submit to break their eggs at the smaller end. Many hundred large volumes have been published upon this controversy: but the books of the Big- Endians have been long forbidden, and the whole party rendered incapable by law of holding employment. During the course of these troubles, the emperors of Blefusca did frequently expostulated by their ambassadors, accusing us of making a schism in religion, by offending against a fundamental doctrine of our great prophet Lustrog. This, however, is thought to be a mere strain upon the text; for the words are these: ‘that all true believers break their eggs at the convenient end.’ And which is the convenient end, seems, in my humble opinion, to be left to every man’s conscience, or at least in the power of the chief magistrate to determine. Since then, the Big-Endian exiles have found so much credit in the emperor of Blefuscu’s court, and so much private assistance and encouragement from their party here at home, that a bloody war has been carried on between the two empires for six-and-thirty moons, with various success, during which time we have lost forty capital ships and a much greater number of smaller vessels, together with thirty thousand of our best seamen and soldiers, and the damage received by the enemy is reckoned to be somewhat greater than ours. However, they have now equipped a numerous fleet, and are just preparing to make a descent upon us; and his imperial majesty, placing great confidence in your valour and strength, has commanded me to lay this account of his affairs before you.” Thus spoke the principal secretary. I desired the secretary to present my humble duty to the emperor and to let him know that I thought it would not become me, who was a foreigner, to interfere with parties, but I was ready, with the hazard of my life, to defend his person and state against all invaders.
Question: What inferences can be drawn from the narrative?
Option 1: One should remain loyal to the monarch.
Option 2: Wars may be waged over very trivial issues.
Option 3: A peaceful solution to the problem is possible.
Option 4: It is important to follow rules.
Correct Answer: Wars may be waged over very trivial issues.
Explanation: In the passage, it is revealed that the war between the empires of Lilliput and Blefuscu began over a seemingly trivial issue—the way to break eggs before eating them. The conflict arose from a minor incident involving the cutting of a finger while breaking an egg, leading to the publication of an edict and subsequent rebellions. The passage suggests that the war, which resulted in significant losses and a prolonged conflict, originated from a relatively inconsequential matter.
Therefore, the inference drawn from the narrative is that wars may be waged over very trivial issues.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Sushama has a deep _____for drunkards.
Option 1: hatred
Option 2: hate
Option 3: hated
Option 4: hating
Correct Answer: hatred
Solution : The correct option is the first option.
Explanation: This is the correct choice. "Hatred" is a noun that means a strong feeling of intense dislike or loathing towards something or someone. In this context, it accurately conveys Sushama's strong negative feelings towards drunkards.
The meanings of the other options are as follows:
Therefore, the complete sentence is: Sushama has a deep hatred for drunkards.
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