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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\mathrm{k}+\frac{1}{\mathrm{k}}=4$, then what is the value of $\mathrm{k}^4+\frac{1}{\mathrm{k}^4}$ ?

Option 1: 410

Option 2: 192

Option 3: 212

Option 4: 194

Team Careers360 19th Jan, 2024

Correct Answer: 194


Solution : Given, $\mathrm{k}+\frac{1}{\mathrm{k}}=4$,
Squaring both sides, we get
$\mathrm{k}^2+\frac{1}{\mathrm{k^2}}+2(k)(\frac{1}{k})=16$
⇒ $\mathrm{k}^2+\frac{1}{\mathrm{k^2}}+2=16$
⇒ $\mathrm{k}^2+\frac{1}{\mathrm{k^2}}=14$
Again squaring both sides, we get
$\mathrm{k}^4+\frac{1}{\mathrm{k^4}}+2(k^2)(\frac{1}{k^2})=196$
⇒ $\mathrm{k}^4+\frac{1}{\mathrm{k^4}}+2=196$
⇒ $\mathrm{k}^4+\frac{1}{\mathrm{k^4}}=194$
Hence, the correct answer is 194.

20 Views

Question : The bare ground between plants is covered with a layer of organic matter to retain soil moisture. This method is called ______.

Option 1: mulching

Option 2: rock dam

Option 3: shelter belts

Option 4: contour barriers

Team Careers360 24th Jan, 2024

Correct Answer: mulching


Solution : The correct answer is mulching.

Mulching involves placing layers of organic, or inorganic material on the bare ground around plants. This layer helps to conserve soil moisture, suppress weed growth, regulate soil temperature, and provide other benefits to the plants and soil.

26 Views

Question : The famous musician Faiyaz Khan is associated with which musical instrument?

Option 1: Shehnai

Option 2: Veena

Option 3: Tabla

Option 4: Sitar

Team Careers360 17th Jan, 2024

Correct Answer: Tabla


Solution : The correct option is Tabla.

Ustad Faiyaz Khan was a tabla player of international repute. He was known for his innovative and virtuosic tabla playing. He was also a gifted teacher and trained many students who went on to become successful tabla players in

7 Views

Question : The release of which of the following into ponds and wells helps in controlling mosquitoes?

Option 1: Snail

Option 2: Crab

Option 3: Dogfish

Option 4: Gambusia fish

Team Careers360 11th Jan, 2024

Correct Answer: Gambusia fish


Solution : The correct answer is Gambusia fish.

Gambusia fish or Gambusia affinis is a freshwater fish which is native to North America. It feeds on the larvae of mosquito which helps to control the growing mosquito population. They are larvivorous fish which helps in the

385 Views

Question : How many tiles, each 4 decimetre square, will be required to cover the floor of a room 8 m long and 6 m broad?

Option 1: 200

Option 2: 260

Option 3: 280

Option 4: 300

Team Careers360 13th Jan, 2024

Correct Answer: 300


Solution : We have to find how many tiles, each 4 decimetre square, will be required to cover the floor of a room 8 m long and 6 m broad.
Here, the area of the floor = (8 × 6) = 48 m2
Now 48 m

12 Views

Question : The abbreviation 'SEBI' stands for:

 

Option 1: Savings and Exchange Bank of India

Option 2: Securities and exchange Bank of India

Option 3: Survey of essential business in Indai

Option 4: Securities and Exchange  Board of India

Team Careers360 14th Jan, 2024

Correct Answer: Securities and Exchange  Board of India


Solution : The correct option is Securities and Exchange  Board of India.

SEBI stands for the Securities and Exchange Board of India. It serves as India's securities market's regulatory authority. The main goals of SEBI are to safeguard the interests of stockholders

17 Views

Question : In 1526, the battle of Panipat was fought between ______.

Option 1: Babur and Rana Sanga

Option 2: Akbar and Hemu

Option 3: Humayun and Sher Khan

Option 4: Babur and Ibrahim Lodi

Team Careers360 10th Jan, 2024

Correct Answer: Babur and Ibrahim Lodi


Solution : The correct option is Babur and Ibrahim Lodi.

In 1526, the Battle of Panipat took place, pitting Babur, the Mughal Empire's founder, against Ibrahim Lodi, the Delhi Sultan. Babur, with ancestral ties to Timur and Genghis Khan, sought to establish his rule

20 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.

The soldiers had no choice to report the loss to their commander.

Option 1: no choice as to

Option 2: no choice how to

Option 3: No substitution required

Option 4: no choice but to

Team Careers360 22nd Jan, 2024

Correct Answer: no choice but to


Solution : The right option is the fourth option.

The original sentence lacks a necessary conjunction that connects the elements correctly.

The revised sentence, "The soldiers had no choice but to report the loss to their commander", introduces the conjunction but. In

9 Views

Question : Photosynthesis takes place in the presence of chlorophyll and

Option 1: water

Option 2: nutrients

Option 3: carbon dioxide

Option 4: sunlight

Team Careers360 21st Jan, 2024

Correct Answer: sunlight


Solution : The correct option is sunlight.

Photosynthesis is the biochemical process by which green plants, algae, and some microorganisms turn sunlight into chemical energy using chlorophyll by synthesising glucose, and other organic molecules in the presence of sunlight. In this process, they utilise carbon dioxide, and

12 Views

Question : What is the area (in unit squares) of the region enclosed by the graphs of the equations $2x - 3y + 6 = 0, 4x + y = 16$ and $y = 0$?

Option 1: 12

Option 2: 10.5

Option 3: 14

Option 4: 11.5

Team Careers360 21st Jan, 2024

Correct Answer: 14


Solution : Given: $2x - 3y + 6 = 0$
$2x - 3y = -6 $---------(i)
$4x + y = 16$ ---------(ii)
Multiplying equation (ii) by 3
$12x + 3y = 48$ ---------(iii)
Adding (i) and (iii),
$2x + 12x = 48 - 6$
⇒ $14x =

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