Staff Selection Commission Sub Inspector Exam
Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:
Option 1: 2 : 1
Option 2: 1 : 3
Option 3: 1 : 1
Option 4: 1 : 2
Correct Answer: 1 : 1
Solution : Let the numbers be $x$ and $y$. According to the question, $(x + y)^2 = 4xy$ ⇒ $x^2+y^2+2xy-4xy = 0$ ⇒ $x^2+y^2-2xy = 0$ ⇒ $(x -y)^{2} = 0$ ⇒ $x = y$ $\therefore$ The required ratio is 1 : 1. Hence, the
Question : A rectangular lawn whose length is twice its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in INR) of levelling the entire lawn at the rate of INR 100 per square metre, if the smaller side of the rectangular lawn is 12 m? (Take $\pi=3.14$)
Option 1: 85,320
Option 2: 78,650
Option 3: 86,540
Option 4: 97,625
Correct Answer: 85,320
Solution : Breadth = 12 m Length = 2 × Breadth = 2 × 12 = 24 m Area of rectangle = Length × Breadth = 12 × 24 = 288 m2 Cost of levelling = Rs. 100 per m2 Area of semi-circle = $\frac{1}{2}$
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
(P) We have done everything (Q) that could be done (R) to avert the storm which is now coming on. (S) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
"We have done" should be replaced with "we did" to emphasise the tense consistency action, indicating that everything was done to avert the storm.
The sentence should be: "We had done everything that could be done to
Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
All teachers agree that Paresh is the __________ intelligent boy in his class.
Option 1: more
Option 2: most
Option 3: very
Option 4: only
Correct Answer: most
Solution : The correct choice is the second option.
Explanation:
Most intelligent is the superlative form, indicating that Paresh is the most intelligent boy in his class, and it doesn't require a comparison with other students.
Therefore, the complete sentence is: All teachers agree that Paresh
Question : The average weight of 49 students is 53 kg. When a new student is admitted to the class, the average decreases by 500 g. Find the weight of the new student.
Option 1: 48 kg
Option 2: 18 kg
Option 3: 28 kg
Option 4: 38 kg
Correct Answer: 28 kg
Solution : Given, The average weight of 49 students is 53 kg. We know that Total = Average × Number of observations ⇒ Total weight of 49 students = 53 × 49 = 2597 Now, when a new student is admitted to the class, the average
Question : The famous Irwin Declaration on 31 October 1929 promised:
Option 1: total integration of princely states with the rest of India
Option 2: universal adult franchise in India
Option 3: independence of princely states
Option 4: a dominion status for India
Correct Answer: a dominion status for India
Solution : The correct answer is a dominion status for India.
Lord Irwin was the viceroy of India from 1926 to 1931. He declared on 31 October 1929 that the British wanted to grant dominion status to India. This famous declaration was also
Question : Directions: For the Venn diagram given below, which of the following conclusions is true?
I. Some captains are painters. II. Some Lieutenants are painters. III. All majors are soldiers. IV. All captains are soldiers. V. All soldiers are painters.
Option 1: Only I and IV follow
Option 2: Only I, III, and IV follow
Option 3: Only II, IV, and V follow
Option 4: Only III and IV follow
Correct Answer: Only III and IV follow
Solution : Given:
Let's analyse the conclusions – Conclusion (I): Some captains are painters – From the given Venn diagram, it is evident that there is no direct relation between captains and painters. So, no definite relation can be drawn. Therefore, this conclusion
Question : Directions: Find the odd figure from the given alternatives.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Let's check the options – First option: In this figure, three lines are connected. Second option: In this figure, two lines are connected. Third option: In this figure, two lines are connected. Fourth option: In this figure, two lines are connected.
So, the figure in the
Question : All Souls day is _____ festival.
Option 1: Buddhism
Option 2: Jainism
Option 3: Christian
Option 4: Muslim
Correct Answer: Christian
Solution : The correct option is Christian.
Every year on November 2, Christians around the world mark All Souls' Day by attending prayers and lighting candles to lessen the suffering of those who have passed away without receiving salvation and whose souls are thought to be
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
She is a very eccentric woman.
(1) impatient
(2) generous
(3) unusual
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
Since the sentence is grammatically accurate and doesn't need any change, no improvement is required.
The sentence conveys the idea that the woman being described is unconventional, peculiar, or unusual in her behaviour, appearance, or way of
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