Staff Selection Commission Combined Higher Secondary Level Exam
Question : Impeachment proceedings against the president for violation of the Constitution can be initiated in the:
Option 1: Either house of Parliament
Option 2: The Lok Sabha
Option 3: The Rajya Sabha
Option 4: The Supreme Court
Correct Answer: Either house of Parliament
Solution : The correct answer is Either House of Parliament.
The President is removed from office if they are found to have violated the Constitution through the process of impeachment. Either House of Parliament may start the impeachment procedure. The President of India may
Question : A bus travels for three hours at 60 km/hr, four hours at 50 km/hr, and the next five hours at 50 km/hr. Find its average speed.
Option 1: 52.5 km/hr
Option 2: 52 km/hr
Option 3: 46 km/hr
Option 4: 50 km/hr
Correct Answer: 52.5 km/hr
Solution : Given: A bus travels for three hours at $60$ km/hr, four hours at $50$ km/hr, and the next five hours at $50$ km/hr. Total distance travelled by the bus = $(60×3)+(50×4)+(50×5) = 630$ km Total time taken by the bus = $(3+4+5) = 12$
Question : If $K+\frac{1}{K}=-3$, then what is the value of $\left(\frac{K^6+1}{K^3}\right)+\left(\frac{K^4+1}{K^2}\right)$?
Option 1: 27
Option 2: – 29
Option 3: 29
Option 4: – 27
Correct Answer: – 29
Solution : Given equation, $K+\frac{1}{K}=-3$ ..........(1) Squaring the equation, we get, $(K+\frac{1}{K})^2=(-3)^2$ $K^2 + \frac{1}{K^2} + 2 = 9$ ⇒ $K^2 + \frac{1}{K^2} = 7$ ...........(2) Cubing equation (1), we get $(K+\frac{1}{K})^3 = (-3)^3$ ⇒ $K^3 + \frac{1}{K^3} + 3\cdot K\cdot\frac{1}{K}(K+\frac{1}{K}) = -27$ ⇒ $K^3+\frac{1}{K^3}+3(-3) =
Question : A diagonal relationship is found between which pair of the following elements?
Option 1: Li and Mg
Option 2: Be and B
Option 3: Be and Mg
Option 4: Na and Mg
Correct Answer: Li and Mg
Solution : The correct answer is Li and Mg.
The relationship exists between Li (Lithium) and Mg (Magnesium). This means that they are in different parts of the periodic table, they share some similar properties because their atoms and ions are roughly the same
Question : If in a right-angled $\triangle P Q R$, $\tan Q=\frac{5}{12}$, then what is the value of $\cos Q$?
Option 1: $\frac{12}{5}$
Option 2: $\frac{13}{5}$
Option 3: $\frac{12}{13}$
Option 4: $\frac{5}{13}$
Correct Answer: $\frac{12}{13}$
Solution : Given, $\tan Q = \frac{5}{12}$ We know, $\tan\theta = \frac{\text{Perpendicular}}{\text{Base}}$ Applying Pythagoras theorem, $\small\text{Hypotenuse}^2 = \text{Perpendicular}^2+\text{Base}^2$ ⇒ $\text{H}^2=5^2+12^2$ ⇒ $\text{H}^2 = 25 + 144$ ⇒ $\text{H}=\sqrt{169}$ ⇒ $\text{H} = 13\ \text{units}$ Now, $\cos\theta = \frac{\text{Base}}{\text{Hypotenuse}}$ ⇒ $\cos Q = \frac{12}{13}$ Hence, the correct answer is
Question : Who founded the Arya Samaj and pleaded for the right of individuals to interpret Vedas and free themselves from the tyranny of priests?
Option 1: Raja Ram Mohan Roy
Option 2: Sir Ramakrishna Gopal Bhandarkar
Option 3: Swami Dayananda Saraswati
Option 4: Mahadev Govind Ranade
Correct Answer: Swami Dayananda Saraswati
Solution : The correct answer is Swami Dayananda Saraswati.
The Arya Samaj was founded by Swami Dayananda Saraswati in 1875. Swami Dayananda Saraswati advocated for a return to the teachings of the Vedas, emphasising monotheism, social equality, and the right of individuals to interpret
Question : The following bar graph shows the favourite sport of the students of a school. Which sport is the favourite sport of most students?
Option 1: Football
Option 2: Cricket
Option 3: Tennis
Option 4: Hockey
Correct Answer: Football
Solution : Football was liked by 122 students. Hockey was liked by 58 students. Cricket was liked by 115 students. Kabaddi was liked by 50 students. Tennis was liked by 105 students. $\therefore$ Football is the favourite sport of most students. Hence, the correct answer is Football.
Question : In a triangle $PQR$, $QR$ is produced to $S$. If $\angle PRS=(9x-15^{\circ}), \angle RPQ=2x$ and $\angle PQR = (4{x}+15^{\circ})$, what is the value of $x$?
Option 1: 55
Option 2: 20
Option 3: 10
Option 4: 75
Correct Answer: 10
Solution : Given: $\angle PRS=(9x-15^{\circ}), \angle RPQ=2x$ and $\angle PQR=(4{x}+15^{\circ})$ Applying exterior angle property, we get: $\angle PRS=\angle RPQ+\angle PQR$ ⇒ $(9x-15^{\circ}) = 2x+(4{x}+15^{\circ})$ ⇒ $3x=30^{\circ}$ ⇒ $x=10^{\circ}$ Hence, the correct answer is 10.
Question : If a number is as much greater than 31 as it is less than 75, then the number is:
Option 1: 106
Option 2: 44
Option 3: 74
Option 4: 53
Correct Answer: 53
Solution : Let the number be X. Then, according to the question, X – 31 = 75 – X ⇒ 2X = 75 + 31 ⇒ 2X = 106 ⇒ X = $\frac{106}{2}$ ⇒ X = 53 Hence, the correct answer is 53.
Question : Which among the following won the Oscars 2022 for the Best "Documentary (Feature)"?
Option 1: Flee
Option 2: Writing with Fire
Option 3: Attica
Option 4: Summer of Soul
Correct Answer: Summer of Soul
Solution : The correct answer is Summer of Soul.
"Summer of Soul" won the Documentary Feature Oscar at the 2022 Oscars. The film revolves around a monumental event in the summer of 1969 that celebrated black history, culture, and fashion. It illuminates the significance
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