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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Which of the following is not a vector quantity?

Option 1: Speed

Option 2: Velocity

Option 3: Torque

Option 4: Displacement

Team Careers360 18th Jan, 2024

Correct Answer: Speed


Solution : The correct answer is Speed.

While speed and velocity are measures of how fast an object is moving, they differ in that velocity is a vector quantity as it includes information about the object's direction and speed. Speed is a scalar quantity as it only

70 Views

Question : Parts of the following sentence have been given as options. Select the option that contains an error.

The politician was accused of accepting bribes and lied about it to the public.

Option 1: of accepting bribes

Option 2: The politician was accused

Option 3: and lied about it

Option 4: to the public

Team Careers360 11th Jan, 2024

Correct Answer: and lied about it


Solution : The correct choice is the third option.

Explanation: The conjunction "and" is used to connect two elements in a parallel structure. In this case, the politician was accused of two things: "accepting bribes" and "lying about it". The verb forms should

15 Views

Question : Universal Adult Franchise shows that India is a country which is

Option 1: secular

Option 2: socialist

Option 3: democratic

Option 4: sovereign

Team Careers360 21st Jan, 2024

Correct Answer: democratic


Solution : The correct answer is democratic.

Every adult citizen has the right to vote without exception under the concept of Universal Adult Franchise. Citizens over the age of 18 in India have the right to vote due to the Universal Adult Franchise. The democratic system

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Question : If $2(\cos^{2}\theta-\sin^{2}\theta)=1$; ($\theta$ is a positive acute angle), then $\cot\theta$ is equal to:

Option 1: $–\sqrt{3}$

Option 2: $\frac{1}{\sqrt{3}}$

Option 3: $1$

Option 4: $\sqrt{3}$

Team Careers360 13th Jan, 2024

Correct Answer: $\sqrt{3}$


Solution : Given: $2(\cos^{2}\theta-\sin^{2}\theta)=1$
⇒ $\cos^{2}\theta-(1-\cos^{2}\theta)=\frac{1}{2}$
⇒ $2\cos^{2}\theta=1+\frac{1}{2}$
⇒ $\cos^{2}\theta=\frac{3}{2×2}$
⇒ $\cos\theta=\frac{\sqrt{3}}{2}$
We know that [$\cos30°=\frac{\sqrt{3}}{2}$]
⇒ $\cos\theta=\cos30°$
$\therefore\theta=30°$
Then, $\cot30°=\sqrt{3}$
Hence, the correct answer is $\sqrt{3}$.

88 Views

Question : In triangle RST, M and N are two points on RS and RT such that MN is parallel to the base ST of the triangle RST. If $\text{RM}=\frac{1}{3} \text{MS}$ and $\text{ST}=5.6 \text{ cm}$, what is the ratio of $\frac{\text { Area of triangle RMN}}{\text {Area of trapezium MNST}}$?

Option 1: $\frac{14}{15}$

Option 2: $\frac{15}{16}$

Option 3: $\frac{1}{15}$

Option 4: $\frac{1}{16}$

Team Careers360 8th Jan, 2024

Correct Answer: $\frac{1}{15}$


Solution :
Given: $RM=\frac{1}{3}MS$
⇒ $\frac{RM}{MS}=\frac{1}{3}$
$ST=5.6$ cm
Since $\triangle RMN$ and $\triangle RST$ are similar triangles.
Then, $\frac{RM}{RS}=\frac{MN}{ST}$
⇒ $\frac{1}{1+3}=\frac{MN}{5.6}$
⇒ $MN=\frac{5.6}{4}$
⇒ $MN=1.4$ cm
So, $\frac{\text { Area of triangle RMN }}{\text {Area of trapezium MNST}}=\frac{\text{Area of triangle RMN}}{\text{Area of RST–Area of RMN}}$
Putting the

11 Views

Question : Directions: Arrange the following in ascending order.
1. Centimetre
2. Kilometre
3. Decimetre
4. Metre

Option 1: 1, 3, 4, 2

Option 2: 2, 4, 3, 1

Option 3: 3, 1, 2, 4

Option 4: 4, 2, 1, 3

Team Careers360 23rd Jan, 2024

Correct Answer: 1, 3, 4, 2


Solution : Given:
1. Centimetre 2. Kilometre 3. Decimetre 4. Metre

The ascending order of units of measurement of length –
Centimetre (1 cm)→Decimetre (10 cm)→Metre (100 cm)→Kilometre (1000 cm)

Therefore, the correct sequence is 1, 3, 4, 2. Hence, the first option is

8 Views

Question : Directions: Three of the four groups of words are alike in some manner. Select the odd group of words.

Option 1: (Truck, Scooter, Car)

Option 2: (Lizard, Crocodile, Jungle)

Option 3: (Lion, Leopard, Fox)

Option 4: (Pen, Pencil, Eraser)

Team Careers360 24th Jan, 2024

Correct Answer: (Lizard, Crocodile, Jungle)


Solution : Let's check the options –
First option: (Truck, Scooter, Car); All these are types of vehicles.
Second option: (Lizard, Crocodile, Jungle); Lizard and Crocodile are animals, however, the jungle is not an animal. 
Third option: (Lion, Leopard, Fox); All these are types of

15 Views

Question : Seismography is the Science of

Option 1: Rivers

Option 2: Earthquakes

Option 3: Volcanoes

Option 4: Mountains

Team Careers360 21st Jan, 2024

Correct Answer: Earthquakes


Solution : The correct option is Earthquakes.

Seismography is the scientific process of measuring and documenting earthquake shockwaves and vibrations. The tool used to record seismic waves produced by earthquakes is called a seismograph. Seismographs use electromagnetic sensors that convert vibrations from the ground into electrical changes,

28 Views

Question : NDP at FC plus net factor income from abroad is equal to

Option 1: NNP at MP

Option 2: NNP at FC

Option 3: GDP at FC

Option 4: GNP at MP

Team Careers360 25th Jan, 2024

Correct Answer: NNP at FC


Solution : The correct option is NNP at FC.

Net Domestic Product at Factor Cost (NDP at FC) plus Net Factor Income from Abroad (NFIA) is equal to Gross Domestic Product at Market Prices (GDP at MP). In other words, Gross Domestic Product at

14 Views

Question : Directions: In the given 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.

She was aware of what was going ______her father's mind.

Option 1: through

Option 2: on

Option 3: in

Option 4: by

Team Careers360 15th Jan, 2024

Correct Answer: through


Solution : The correct choice is the first option.

The preposition "through" correctly expresses the intended meaning of the sentence that she was aware of what her father was thinking.

Therefore, the complete sentence is: She was aware of what was going through her father's mind.

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