Staff Selection Commission Sub Inspector Exam
Question : The following table shows the number of delivery partners (in thousands) who joined five different companies during six different years.
Find the average number of delivery partners who joined Twiggy in the last 6 years.
Option 1: 2545
Option 2: 2450
Option 3: 2540
Option 4: 2455
Correct Answer: 2450
Solution : Delivery partners who have joined Twiggy In the year 2016 = 1200 In the year 2017 = 1500 In the year 2018 = 2400 In the year 2019 = 2800 In the year 2020 = 3200 In the year 2021 = 3600 Total number of
Question : If an object executes 10 oscillations per second, then its frequency in kilohertz is equal to:
Option 1: 1
Option 2: 10
Option 3: 0.1
Option 4: 0.01
Correct Answer: 0.01
Solution : The correct option is 0.01.
The frequency (f) of an oscillating object is the number of oscillations or cycles it completes per unit of time. The formula to calculate frequency is:
f = number of oscillations/time
In the given scenario, the object executes 10 oscillations
Question : If $\frac{x^{3}+3y^{2}x}{y^{3}+3x^{2}y}=\frac{35}{19}$, what is $\frac{x}{y} =?$
Option 1: $\frac{7}{6}$
Option 2: $\frac{5}{6}$
Option 3: $\frac{5}{1}$
Option 4: $\frac{7}{1}$
Correct Answer: $\frac{5}{1}$
Solution : $\frac{x^{3}+3y^{2}x}{y^{3}+3x^{2}y}=\frac{35}{19}$ Applying componendo and dividendo method, $\frac{x^{3}+3y^{2}x - y^{3}-3x^{2}y}{x^{3}+3y^{2}x + y^{3}+3x^{2}y}=\frac{35-19}{35+19} = \frac{16}{54}$ ⇒ $\frac{(x-y)^3}{(x+y)^3} = \frac{8}{27}$ ⇒ $\frac{x-y}{x+y} = \frac{2}{3}$ ⇒ $\frac{x+y}{x-y}=\frac{3}{2}$ Again, applying the componendo and dividendo method to solve the equation. $\frac{x+y+x-y}{x+y-x+y}=\frac{3+2}{3-2}$ $\Rightarrow\frac{x}{y} = \frac{5}{1}$ Hence, the correct answer is $\frac {5}{1}$.
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 area (in ${m}^2$ ) of the lawn if the smaller side of the rectangle is 12 m? (Take $\pi=3.14$ )
Option 1: 853.2
Option 2: 308.64
Option 3: 444
Option 4: 548.32
Correct Answer: 853.2
Solution : Given: Breadth = 12 Length = 2 × Breadth = 2 × 12 = 24 m Area of rectangle = Length × Breadth = 12 × 24 = 288 m2 Area of semi-circle on larger side = $\frac{1}{2}× \pi ×12^2$ = $72\pi\ m^2$ Area
Question : Which among the following books has been written by the Booker Prize winner Kiran Desai?
Option 1: A Fine Balance
Option 2: The Year of Runaways
Option 3: The Inheritance of Loss
Option 4: Shantaram
Correct Answer: The Inheritance of Loss
Solution : The correct answer is The Inheritance of Loss.
The Inheritance of Loss is the second novel by Kiran Desai. She won several awards, including the Booker Prize for this book. Through this novel, Kiran Desai managed to portray the themes
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is 4.
If you were the Prime Minister of India what steps would you have taken to end unemployment?
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct answer is the third option.
The reason for this choice is that when expressing a hypothetical situation, it's appropriate to use would in one of the clauses of the conditional statement as per the subjunctive mood.
The subjunctive mood is the form of
Question : Select the most appropriate synonym of the given word.
Cogent
Option 1: Rational
Option 2: Insane
Option 3: Tyrannical
Option 4: Coward
Correct Answer: Rational
Solution : The first option is correct.
Cogent is used for arguments that are clearly expressed and persuade people to believe them.
Rational refers to thoughts that are based on clear thought and logic, making it the correct synonym for the word cogent.
The meanings of
Question : Directions: How many A's are there in the following letter series which are immediately followed by B as well as immediately preceded by Z? A M B Z A N A A B Z A B A Z B A P Z A B A Z A B
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Solution : Given: A M B Z A N A A B Z A B A Z B A P Z A B A Z A B
By checking the series for the number of A's immediately followed by B as well as immediately preceded by Z
Question : Study the following data and answer the question below.
What was the revenue of the company if its expenditure was 50 lakhs in the year when its profit percentage was the highest?
Option 1: INR 55 lakhs
Option 2: INR 70 lakhs
Option 3: INR 65 lakhs
Option 4: INR 60 lakhs
Correct Answer: INR 65 lakhs
Solution : Profit percentage was highest in year 2016 = 30% Expenditure = 50 lakhs Revenue = $\frac{130}{100}\times 50=65$ Hence, the correct answer is INR 65 Lakhs.
Question : The first Indian satellite, Aryabhata, was launched on 19 April_____________.
Option 1: 1977
Option 2: 1974
Option 3: 1976
Option 4: 1975
Correct Answer: 1975
Solution : The correct option is 1975.
The first Indian satellite, Aryabhata, was launched on April 19, 1975. Aryabhata is named after the ancient Indian mathematician and astronomer Aryabhata. It was developed by the Indian Space Research Organisation (ISRO). The satellite was launched using a Kosmos-3M
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