Staff Selection Commission Sub Inspector Exam
Question : The volume of a solid right circular cone is $600 \pi \;\text{cm}^3$ and the diameter of its base is 30 cm. The total surface area (in cm2) of the cone is:
Option 1: $480 \pi$
Option 2: $255 \pi$
Option 3: $472 \pi$
Option 4: $496 \pi$
Correct Answer: $480 \pi$
Solution : The volume $V$ of a right circular cone is $V = \frac{1}{3}\pi r^2 h$, where $r$ is the radius of the base and $h$ is the height of the cone. Given that $V = 600\pi\text{ cm}^3$ and the diameter of the base is 30
Question : Which of the following statement(s) is correct about MNCs Statements:?
1) An MNC is a company that owns or controls production in more than one nation. 2) They lead to the creation of a monopoly in the home country. 3) They are also called stateless organisations.
Option 1: Only statements 1 and 2
Option 2: Only statements 1 and 3
Option 3: Only statement 2
Option 4: Only statement 1
Correct Answer: Only statements 1 and 3
Solution : The correct option is Only statements 1 and 3.
A multinational corporation (MNC) is indeed a company that owns or controls production in more than one nation. MNCs operate in multiple countries and may have subsidiaries, branches, or affiliates in
Question : Which of the following is widely used in making semiconductor chips?
Option 1: Radium
Option 2: Sodium
Option 3: Germanium
Option 4: Sulphur
Correct Answer: Germanium
Solution : The correct option is Germanium.
Germanium's electrical properties make it a suitable material for use in semiconductor applications. It has a high mobility of charge carriers (electrons and holes), for fast electronic switching.
Question : Study the given pie chart and answer the question that follows.
The pie chart shows the percentage of 3600 students enrolled in different hobby classes in a school. The number of students enrolled in Painting classes is approximately what percentage of those enrolled in Singing classes?
Option 1: 108%
Option 2: 83%
Option 3: 98%
Option 4: 78%
Correct Answer: 83%
Solution : Total Students = 3600 No. of students in Painting = 15% = $\frac{15}{100}\times 3600= 540$ No. of students in Singing = 18% = $\frac{18}{100}\times 3600 = 648$ The number of students enrolled in Painting classes to the percentage of those enrolled in Singing classes $=\frac{540}{648}×
Question : A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Find the number of such solid hemispheres.
Option 1: 54
Option 2: 27
Option 3: 14
Option 4: 28
Correct Answer: 54
Solution : Given, A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Let the number of hemispheres thus formed be $n$. ⇒ Volume of sphere = $n$(Volume of hemisphere) Volume of sphere = $\frac43\pi
Question : A sphere is of radius 5 cm. What is the surface area of the sphere?
Option 1: $100 \pi \;\mathrm{cm^2}$
Option 2: $150 \pi \;\mathrm{cm^2}$
Option 3: $200 \pi\;\mathrm{cm^2}$
Option 4: $120 \pi\;\mathrm{cm^2}$
Correct Answer: $100 \pi \;\mathrm{cm^2}$
Solution : The surface area $A$ of a sphere where $r$ is the radius of the sphere. $A = 4 \pi r^2$ Substituting $r$ = 5 cm into the formula gives: $A = 4 \pi (5)^2 = 100 \pi \, \text{cm}^2$ Hence, the correct answer
Question : The price of an edible oil is increased by 25%. To maintain the budget, Sushma reduces the consumption of this oil by 20%. The increase in expenditure due to this edible oil is:
Option 1: 0%
Option 2: 1%
Option 3: 2%
Option 4: 3%
Correct Answer: 0%
Solution : Increase in price = 25% Decrease in consumption = 20% For successive percentage change use the following formula, $x+y+\frac{xy}{100}$, where $x$ and $y$ are percentage increases or decreases, if increases take positive and if decreases take negative. Required change in Expenditure = 25 + (–20)
Question : Directions: Select the correct sequence of mathematical signs to replace the * signs to balance the given equation. 72 * 12 * 8 * 6 * 22 = 32
Option 1: +, ÷, ×, –
Option 2: ÷, +, ×, –
Option 3: ×, +, –, ÷
Option 4: ÷, –, ×, +
Correct Answer: ÷, +, ×, –
Solution : Given: 72 * 12 * 8 * 6 * 22 = 32
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: +, ÷, ×, – ⇒ 72 +
Question : The average temperature for Monday, Wednesday and Friday was 41°C. The average for Wednesday, Friday and Thursday was 42°C. If the temperature on Thursday was 43°C, then the temperature on Monday was:
Option 1: 43°C
Option 2: 41°C
Option 3: 42°C
Option 4: 40°C
Correct Answer: 40°C
Solution : The average temperature for Monday, Wednesday, and Friday = 41°C The sum of temperatures on Monday, Wednesday, and Friday = 41 × 3 = 123°C The average temperature for Wednesday, Friday, and Thursday = 42°C The sum of temperatures of Wednesday, Friday, and Thursday =
Question : Select the most appropriate meaning of the underlined idiom in the following sentence.
Nine times out of ten, he tells lies.
Option 1: All the time
Option 2: Hardly
Option 3: In most cases
Option 4: Sometimes
Correct Answer: In most cases
Solution : The correct choice is the third option.
The idiom nine times out of ten is a figurative expression that suggests a high probability or frequency but not absolute certainty. In the context of the sentence "Nine times out of ten, he tells lies",
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