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Staff Selection Commission Combined Higher Secondary Level Exam

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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

Team Careers360 14th Jan, 2024

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

49 Views

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: $0$

Team Careers360 11th Jan, 2024

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 $\frac{1}{(u+v)(v+w)(w+u)}$.

16 Views

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

Team Careers360 18th Jan, 2024

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 -

15 Views

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

Team Careers360 8th Jan, 2024

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

22 Views

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

Team Careers360 14th Jan, 2024

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

14 Views

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

Team Careers360 24th Jan, 2024

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:

  • Incorrigible means something that cannot be changed or reformed.
  • Corrigible means something capable
20 Views

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

Team Careers360 24th Jan, 2024

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.

13 Views

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

Team Careers360 20th Jan, 2024

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

18 Views

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

Team Careers360 11th Jan, 2024

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

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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

Team Careers360 15th Jan, 2024

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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