Staff Selection Commission Combined Higher Secondary Level Exam
Question : Which of the following is not a vector quantity?
Option 1: Speed
Option 2: Velocity
Option 3: Torque
Option 4: Displacement
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
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
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
Question : Universal Adult Franchise shows that India is a country which is
Option 1: secular
Option 2: socialist
Option 3: democratic
Option 4: sovereign
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
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: $\sqrt{3}$
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 $\sqrt{3}$.
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: $\frac{1}{16}$
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
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
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
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)
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
Question : Seismography is the Science of
Option 1: Rivers
Option 2: Earthquakes
Option 3: Volcanoes
Option 4: Mountains
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,
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
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
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
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.
The Question containing Inaapropriate or Abusive Words
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