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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If $a-b=2$ and $ab=24$, then what is the value of $a^3-b^3$?

Option 1: 280

Option 2: 124

Option 3: 140

Option 4: 152

Team Careers360 27th Jan, 2024

Correct Answer: 152


Solution : Given: $a-b=2$ and $ab=24$
We know that $(a-b)^3=a^3-b^3-3ab(a-b)$
⇒ $2^3=a^3-b^3-3(24)(2)$
⇒ $a^3-b^3=8+3\times 24\times 2$
⇒ $a^3-b^3=152$
Hence, the correct answer is 152.

12 Views

Question : Which one of the following novels was a source of inspiration for the freedom fighters in India?

Option 1: Pariksha Guru

Option 2: Anandamath

Option 3: Rangbhoomi

Option 4: Padmarag

Team Careers360 26th Jan, 2024

Correct Answer: Anandamath


Solution : The correct answer is Anandamath.

The novel gives a glimpse of colonial India in which the presence of Englishmen—the colonisers—leads to the depiction of Indians suffering from famine and poverty. Author Bankim Chandra Chatterjee is best known for his novel Anandamath. Because it was

20 Views

Question : The population of the city was 12,50,000 in the year 2010. It increased at the rate of 2% per annum during the years 2011 and 2012. In the year 2013, it decreased by 1%. Find the population of the city at the end of 2013.

Option 1: 1,28,54,952

Option 2: 13,50,000

Option 3: 13,87,495

Option 4: 12,87,495

Team Careers360 26th Jan, 2024

Correct Answer: 12,87,495


Solution : The population of the city in 2010 is 1250000.
Then, Population, $P$ = 1250000
Rate of increment, $R$ = 2%
We have to find the population at the end of the year 2012, i.e. time, $n$ = 2 years
Population after 2 years is given

78 Views

Question : Select the most appropriate idiom for the underlined segment in the following sentence.

Everything in the mansion was in great confusion after the robbery.

Option 1: pick holes

Option 2: pell-mell

Option 3: turn over a new leaf

Option 4: damp squib

Team Careers360 27th Jan, 2024

Correct Answer: pell-mell


Solution : The correct answer is the second option.

Pell-mell means in a disorderly, chaotic, or hurried manner. In the context of the sentence, it conveys that everything in the mansion was in a state of great confusion or disorder after the robbery.

The meanings of the

124 Views

Question : If the rate of simple interest in consecutive years is 4% and 5% respectively, then what will be the total amount payable on INR 25,000 in 2 years?

Option 1: INR 26,250

Option 2: INR 28,250

Option 3: INR 26,000

Option 4: INR 27,250

Team Careers360 26th Jan, 2024

Correct Answer: INR 27,250


Solution : Given: The Rate of Simple Interest in consecutive years is 4% and 5% respectively.
Principal = INR 25,000
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
Putting the values, we have,
Simple interest = $\frac{25000×4×1}{100}+\frac{25000×5×1}{100}$
= 1000 + 1250
= 2250
Total amount =

46 Views

Question : Select the most appropriate option that can substitute the underlined words in the given sentence.

No sooner did we arrived at the airport than we got onto our flight to Atlanta.

Option 1: did we arrive at

Option 2: can we arrive by

Option 3: have we arrived at

Option 4: had we arrive at

Team Careers360 26th Jan, 2024

Correct Answer: did we arrive at


Solution : The first option is the correct answer.

"No sooner did we arrive at" follows the correct inversion of the subject and auxiliary verb after the phrase, "no sooner". In English, when no sooner is used to indicate an action that happens immediately

10 Views

Question : Directions: Among the four answer figures, which one can be formed from the cut-out pieces given below in the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 27th Jan, 2024

Correct Answer:


Solution : The various parts of the figure can be numbered as follows –

The parts can be arranged in the following manner –

The above-compiled figure matches the figure given in the first option. Hence, the first option is correct.

13 Views

Question : In India, which of the following statements regarding Fundamental Duty is not correct?

Option 1: The total number of Fundamental Duties is 11

Option 2: Article 51-A is related to Fundamental Duties.

Option 3: Inserted by 43rd Constitutional Amendment

Option 4: Incorporated in Part IV-A of the Constitution

Team Careers360 27th Jan, 2024

Correct Answer: Inserted by 43rd Constitutional Amendment


Solution : The correct option is Inserted by the 43rd Constitutional Amendment.

The Fundamental Duties are the moral obligations that all Indian citizens have to uphold national unity and promote patriotism. The 42nd Constitutional Amendment Act, 1976, added these to Part IV-A

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