Staff Selection Commission Combined Higher Secondary Level Exam
Question : In which of the following sports India did not win a gold medal in the Commonwealth Games 2022?
Option 1: Shooting
Option 2: Table tennis
Option 3: Lawn bowls
Option 4: Weightlifting
Correct Answer: Shooting
Solution : The correct option is Shooting.
India did not secure a gold medal in shooting at the 2022 Commonwealth Games. Despite success in table tennis, lawn bowls, and weightlifting, the absence of shooting, traditionally a strong category, affected India's overall medal count compared to previous
Question : Simplify the expression: $\frac{(u–v)^{3}+(v–w)^{3}+(w–u)^{3}}{(u^{2}–v^{2})^{3}+(v^{2}–w^{2})^{3}+(w^{2}–u^{2})^{3}}$
Option 1: $\frac{1}{(u+v)(v+w)(w+u)}$
Option 2: $1$
Option 3: $\frac{3}{(u+v)(v+w)(w+u)}$
Option 4: $0$
Correct Answer: $\frac{1}{(u+v)(v+w)(w+u)}$
Solution : Given: $\frac{(u–v)^{3}+(v–w)^{3}+(w–u)^{3}}{(u^{2}–v^{2})^{3}+(v^{2}–w^{2})^{3}+(w^{2}–u^{2})^{3}}$ We know that, when $x+y+z=0$, then $x^3+y^3+z^3=3xyz$ So, $(a–b)^{3}+(b–c)^{3}+(c–a)^{3}=3(a–b)(b–c)(c–a)$ Applying this to the given expression, we have, $\frac{3(u–v)(v–w)(w–u)}{3(u^{2}–v^{2})(v^{2}–w^{2})(w^{2}–u^{2})}$ = $\frac{3(u–v)(v–w)(w–u)}{3(u–v)(u+v)(v–w)(v+w)(w–u)(w+u)}$ = $\frac{1}{(u+v)(v+w)(w+u)}$ Hence, the correct answer is $\frac{1}{(u+v)(v+w)(w+u)}$.
Question : What is the value of $\frac{3 \operatorname{cosec} 42°}{\sec 48°}-\frac{5 \cos 32°}{\sin 58°}$?
Option 1: - 1
Option 2: 5
Option 3: 0
Option 4: - 2
Correct Answer: - 2
Solution : Given, $\frac{3 \operatorname{cosec} 42°}{\sec 48°}-\frac{5 \cos 32°}{\sin 58°}$ We know, $\operatorname{cosec}\theta = \frac{1}{\sin\theta}$, $\cos(90°-\theta)= \sin\theta$, and $\sec\theta = \frac{1}{cos\theta}$ $\therefore$ Given equation becomes, $\frac{3\cos48°}{\sin 42°}-\frac{5\cos32°}{\sin58°}$ = $\frac{3\cos(90°-42°)}{\sin42°}-\frac{5\cos(90°-58°)}{\sin58°}$ = $\frac{3\sin42°}{\sin 42°}-\frac{5\sin58°}{\sin 58°}$ = 3 - 5 = - 2 Hence, the correct answer is -
Question : Which of the following is the Third largest country in population after China and India ?
Option 1: Bangladesh
Option 2: United States of America
Option 3: Indonesia
Option 4: Japan
Correct Answer: United States of America
Solution : The correct answer is United States of America.
After China and India, the United States of America has the third-largest population. The estimated population of the United States on September 17, 2023, is 332,403,650. This is more than any other nation in
Question : Directions: Out of the given options, three words are similar in a certain manner. However, one option is NOT like the other three. Select the option which is different from the rest.
Option 1: Howrah bridge
Option 2: Eiffel Tower
Option 3: Taj Mahal
Option 4: Red fort
Correct Answer: Eiffel Tower
Solution : Let's check the given options – First option: Howrah Bridge; It is located in West Bengal, India. Second option: Eiffel Tower; It is located in Paris, France. Third option: Taj Mahal; It is located in Agra, India. Fourth option: Red Fort; It is located
Question : Select the most appropriate one-word substitution for the given group of words.
An argument or statement seeming reasonable or probable
Option 1: Incorrigible
Option 2: Corrigible
Option 3: Congruent
Option 4: Plausible
Correct Answer: Plausible
Solution : The correct choice is the fourth option.
Plausible is an argument or statement that is reasonable or that seems likely to be true.
The meanings of the other options are as follows:
Question : Long-Term Evolution (LTE) technology is used in which of the following generation of wireless technologies?
Option 1: 1G
Option 2: 4G
Option 3: 3G
Option 4: 2G
Correct Answer: 4G
Solution : The correct answer is 4G.
LTE (Long-Term Evolution) technology is used in 4G (fourth generation) wireless communication technologies. It represents a significant advancement over previous generations, providing higher data transfer rates, lower latency, and improved overall performance for mobile communication.
Question : Where is the World Heritage Site, Konark Sun Temple, in India?
Option 1: Rajasthan
Option 2: Madhya Pradesh
Option 3: Chhattisgarh
Option 4: Odisha
Correct Answer: Odisha
Solution : The correct option is Odisha.
The Konark Sun Temple is situated in the Indian state of Odisha, on the eastern coast of India. It is located in the town of Konark, which is approximately 35 kilometres northeast of the city of Puri and about
Question : The laser is a beam of radiation which are
Option 1: non-coherent and monochromatic
Option 2: coherent and monochromatic
Option 3: non-coherent and non-monochromatic
Option 4: coherent and non-monochromatic
Correct Answer: coherent and monochromatic
Solution : The correct option is coherent and monochromatic.
The term " laser", which stands for "Light Amplification by Stimulated Emission of Radiation", refers to the coherent (in-phase) radiation beam produced. When the radiated waves' amplitudes are summed in a coherent light source, a
Question : Directions: A watch reads 4:30. If the minute hand points East in which direction will the hour hand point?
Option 1: South
Option 2: North-East
Option 3: North
Option 4: South-West
Correct Answer: North-East
Solution : As per the given information, a clock shows as follows –
In the given figure, the watch reads 4:30, and if the minute hand points East, then, the hour hand points in North-East direction.
So, watch hour hand points in the north-east direction. Hence, the
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