Staff Selection Commission Combined Graduate Level Exam
Question : Find the area of the sector of a circle with a radius of 5 cm and an angle of 60° (rounded off to one decimal).
Option 1: 12.8 cm2
Option 2: 14.1 cm2
Option 3: 13.1 cm2
Option 4: 15.1 cm2
Correct Answer: 13.1 cm2
Solution : Given: The radius of the circle, $r$ = 5 cm Sector is with an angle, $\theta$ = 60° Area of the sector = $\pi r^2× \frac{\theta}{360^{\circ}}=\frac{22}{7}×5^2× \frac{60}{360}=13.09 ≈13.1$ cm2 Hence, the correct answer is 13.1 cm2.
Question : Directions: If Seshan is taller than Ammu but shorter than Raju and Ammu is just as tall as Nitin but taller than Kishore, then which of the following statements is true for Nitin?
Option 1: Just as tall as Seshan
Option 2: Shorter than Ammu
Option 3: Taller than Raju
Option 4: Shorter than Seshan
Correct Answer: Shorter than Seshan
Solution : Given: Seshan is taller than Ammu but shorter than Raju. Raju > Seshan > Ammu Ammu is just as tall as Nitin but taller than Kishore. Ammu = Nitin > Kishore By concluding all the given information, we have – Kishore < Nitin
Question : Select the most appropriate one word to substitute the given group of words. One who is all powerful
Option 1: omnipotent
Option 2: conqueror
Option 3: emperor
Option 4: sovereign
Correct Answer: omnipotent
Solution : The first option is correct.
Explanation: The term omnipotent is the most suitable one-word substitute for one who is all-powerful. It specifically conveys the idea of possessing unlimited or universal power, often associated with a deity or a supreme being. The meanings of the other
Question : Which of the following states have the highest literacy rate, according to Census 2011?
Option 1: Lakshadweep
Option 2: Goa
Option 3: Mizoram
Option 4: Kerala
Correct Answer: Kerala
Solution : The correct answer is Kerala.
As of the 2011 Indian Census, Kerala had the highest literacy rate among Indian states. Kerala is known for its strong focus on education and has consistently shown high literacy rates in comparison to other states in India. The literacy
Question : Directions: In a certain code language, FELLOW is written as NGHYQN, and PURPLE is written as TWRGNR. How will SUPRISED be written in that language?
Option 1: UWRTKUGF
Option 2: KUGFUWRT
Option 3: TRUWFGUK
Option 4: TRWUFGUK
Correct Answer: TRWUFGUK
Solution : Given: FELLOW is written as NGHYQN, and PURPLE is written as TWRGNR.
Add 2 to the place value of each of the letters of the given words, and then arrange them following a certain pattern as shown below – FELLOW is written as NGHYQN→
PURPLE
Question : Select the option that will improve the underlined part of the sentence. In case no improvement is needed, select ‘No Improvement’. He is interested neither in business or on the job.
Option 1: not on a
Option 2: nor in a
Option 3: nor to the
Option 4: no improvement
Correct Answer: nor in a
Solution : The second option is correct.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
I will spend / my rest of remaining / life in my / native village.
Option 1: my rest of remaining
Option 2: life in my
Option 3: native village
Option 4: I will spend
Correct Answer: my rest of remaining
Solution : The segment that contains the grammatical error is the first option.
Explanation: The erroneous part is, "my rest of remaining". Rest means remaining only so, they should not be used together.
So, the correct sentence would be: "I will spend the
Question : Select the option that expresses the given sentence in passive voice.
Rakesh will win the lottery.
Option 1: The lottery is won by Rakesh.
Option 2: The lottery will have won by Rakesh.
Option 3: The lottery will be won by Rakesh.
Option 4: The lottery was won by Rakesh.
Correct Answer: The lottery will be won by Rakesh.
Solution : The third option is the correct answer.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
Sneha was accused for murder of her husband (1) / but the court found her (2) / not guilty and acquitted her. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error lies in the first option as 'for' must be replaced by 'of' in the sentence because the verb 'accused' is be followed by the preposition 'of'. It is the appropriate phrase to use when someone is being charged with a crime, indicating
Question : If $x^{2}+y^{2}+z^{2}=xy+yz+zx$, then the value of $\frac{3x^{4}+7y^{4}+5z^{4}}{5x^{2}y^{2}+7y^{2}z^{2}+3z^{2}x^{2}}$ is:
Option 1: 2
Option 2: 1
Option 3: 0
Option 4: –1
Solution : Given: $x^{2}+y^{2}+z^{2}=xy+yz+zx$ ⇒ $x^{2}+y^{2}+z^{2}-xy-yz-zx=0$ ⇒ $\frac{1}{2}[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}]=0$ So, $(x-y)=0$, $(y-z)=0$, $(z-x)=0$ So, $x=y=z$ Putting this value in the given condition, we have: $\frac{3x^{4}+7y^{4}+5z^{4}}{5x^{2}y^{2}+7y^{2}z^{2}+3z^{2}x^{2}}=\frac{15x^{4}}{15x^{4}}=1$ Hence, the correct answer is 1.
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