Staff Selection Commission Combined Graduate Level Exam
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
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.
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
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.
Question : The famous musician Faiyaz Khan is associated with which musical instrument?
Option 1: Shehnai
Option 2: Veena
Option 3: Tabla
Option 4: Sitar
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
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
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
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
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
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
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
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
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
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
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
Question : Photosynthesis takes place in the presence of chlorophyll and
Option 1: water
Option 2: nutrients
Option 3: carbon dioxide
Option 4: sunlight
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
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
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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