Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $a+b+c=13$ and $a b+b c+c a=45$, find $a^2+b^2+c^2$.
Option 1: 79
Option 2: 65
Option 3: 57
Option 4: 85
Correct Answer: 79
Solution : Given: $a+b+c=13$ and $ab+bc+ca=45$ $a^2 + b^2 + c^2 = (a + b + c)^2 - 2 (ab + bc + ca)$ $= 13^2-2\times 45$ $= 169-90 = 79$ Hence, the correct answer is 79.
Question : Under the new IPL rule in 2023, who among the following Chennai Super King players became the first Impact player in the history of the tournament?
Option 1: MS Dhoni
Option 2: Deepak Chahar
Option 3: Akash Singh
Option 4: Tushar Deshpande
Correct Answer: Tushar Deshpande
Solution : The correct answer is Tushar Deshpande.
Making history, Tushar Deshpande became the inaugural 'Impact Player' in IPL history while representing Chennai Super Kings in the 2023 season. Chennai Super Kings clinched the IPL 2023 trophy, defeating Gujarat Titans in the final by 7
Question : The energy that can harness heat stored below the earth's surface is known as:
Option 1: thermal energy
Option 2: nuclear energy
Option 3: tidal energy
Option 4: geothermal energy
Correct Answer: geothermal energy
Solution : The correct option is geothermal energy.
Geothermal energy is energy that can be produced by using heat that is stored under the earth's surface. This type of energy is obtained from the Earth's interior's inherent heat, which comes from the radioactive decay of minerals
Question : The value of $\left(\operatorname{cosec}^2 B-1\right)\left(\sec ^2 B-1\right)$ is:
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 1
Correct Answer: 1
Solution : Given: $\left(\operatorname{cosec}^2 B-1\right)\left(\sec ^2 B-1\right)$ We know that $\operatorname{cosec}^2 B = 1 + \cot^2 B$ $\sec^2 B = 1 + \tan^2 B$ $\left(\operatorname{cosec}^2 B-1\right)\left(\sec ^2 B-1\right) = \cot^2 B\times\tan^2 B$. $=\cot^2 B \times \tan^2 B = \frac{1}{\tan^2 B}\times\tan^2 B = 1$ Hence, the correct answer
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. a b _ a _ b b a _ _ b a
Option 1: abbb
Option 2: aaaa
Option 3: bbbb
Option 4: baab
Correct Answer: baab
Solution : Given: a b _ a _ b b a _ _ b a
To fill the series we have to divide the series – a b _ a \ _ b b a \ _ _ b a
Let's check each option – First option:
Question : Select the most appropriate synonym of the underlined word.
Caves like Ajanta lie in perpetual darkness.
Option 1: Permanent
Option 2: Extreme
Option 3: Brief
Option 4: Huge
Correct Answer: Permanent
Solution : The first option is the correct choice.
The adjective perpetual means never-ending or changing. Permanent means lasting or enduring indefinitely, not temporary or transitory.
The meanings of the other options are as follows:
Question : Which of the following is not one of the questions every society needs to answer?
Option 1: How should the goods be distributed?
Option 2: How should goods be produced?
Option 3: What goods and services to produce?
Option 4: How should the goods be exchanged?
Correct Answer: How should the goods be exchanged?
Solution : The correct answer is How should the goods be exchanged.
The question "How should the goods be exchanged?" is not explicitly one of the fundamental questions every society needs to answer. Instead, societies commonly address what to produce, how
Question : Directions: Study the bar diagram and answer the question. Total number of boys and girls in five different departments of a college. The average number of boys from all the departments together is:
Option 1: 123
Option 2: 132
Option 3: 134
Option 4: 142
Correct Answer: 132
Solution : From the given graph, The total number of boys from all the departments = 60 + 220 + 100 + 160 + 120 = 660 The total number of departments = 5 The average number of boys from all the departments $=\frac{\text{The total number of
Question : If $x^{2}+\frac{1}{x^{2}}=1$, then, what is the value of $x^{48}+x^{42}+x^{36}+x^{30}+x^{24}+x^{18}+x^{12}+x^{6}+1$?
Option 1: – 9
Option 2: 0
Option 3: 1
Option 4: 9
Solution : Given: $x^{2}+\frac{1}{x^{2}} = 1$ Adding 2 on both sides, we get, $x^{2} + \frac{1}{x^{2}} + 2 = 1 + 2$ ⇒ $x^{2} + \frac{1}{x^{2}} + 2×x^2×\frac{1}{x^{2}} = 3$ ⇒ $(x + \frac{1}{x})^{2} = 3$ $x + \frac{1}{x} = \sqrt3$ Cubing both sides, we get, ⇒
Question : When did the RTI Act come into force in India?
Option 1: 15th June, 2005
Option 2: 15th August, 2005
Option 3: 15th March, 2005
Option 4: 12th Oct,2005
Correct Answer: 12th Oct,2005
Solution : The correct answer is 12th October 2005.
The RTI Act was promulgated in 2005 to promote transparency and accountability in the workings of every public authority. The RTI Act empowers the citizens of the country to question authority. This Act gives citizens access to
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
