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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : In a cyclic quadrilateral MNOP, $\angle$M is opposite to $\angle$O, If 2$\angle$O = 3$ \angle$M, then what is the value of $\angle$M?

Option 1: 88°

Option 2: 108°

Option 3: 72°

Option 4: 96°

Team Careers360 25th Jan, 2024

Correct Answer: 72°


Solution :
In a cyclic quadrilateral, the sum of a pair of opposite angles is 180°. 
⇒ $\angle$M + $\angle$O = 180°
Given that 2$\angle$O = 3$ \angle$M,
⇒ $\angle$O = 1.5$ \angle$M
Substituting this into the formula $\angle$M + $\angle$O = 180°,
⇒ $\angle$M + 1.5$\angle$M

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Question : Which of the following is not included while estimating national income through income method?

Option 1: Rent

Option 2: Mixed Incomes

Option 3: Pension

Option 4: Undistributed profits

Team Careers360 25th Jan, 2024

Correct Answer: Undistributed profits


Solution : The correct option is Undistributed profits.

Undistributed profits, also known as retained earnings, are not counted when calculating national income using the income method. Only profits that are actually paid out to individuals as dividends are included in this calculation. Undistributed profits are considered

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Question : Among the world's oceans, which ocean has the widest continental shelf?

Option 1: Antarctic Ocean

Option 2: Arctic Ocean

Option 3: Indian Ocean

Option 4: Atlantic Ocean

Team Careers360 25th Jan, 2024

Correct Answer: Arctic Ocean


Solution : The correct option is the Arctic Ocean.

A section of a continent buried beneath a body of relatively shallow water is referred to as a shelf sea, called a continental shelf. From the coast of Siberia into the Arctic Ocean, the continental shelf in

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Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : As per mirror image properties, closer things appear closer to the mirror in reflection.
If a mirror is placed on line MN according to the given figure, the top and bottom sides of the figure will swap positions. Therefore, what was once on the top side

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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

Team Careers360 25th Jan, 2024

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.

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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

Team Careers360 25th Jan, 2024

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

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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

Team Careers360 25th Jan, 2024

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

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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

Team Careers360 25th Jan, 2024

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

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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

Team Careers360 25th Jan, 2024

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: 

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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

Team Careers360 25th Jan, 2024

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:

  • Extreme: characterised by a high degree of intensity.
  • Brief: short
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