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Staff Selection Commission Sub Inspector Exam

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Question : Who among the following is the founder of the social activist organization called ‘Global March Against Child Labour’?

Option 1: Anna Hazare

Option 2: Kiran Bedi

Option 3: Kailash Satyarthi

Option 4: Baba Amte

Team Careers360 25th Jan, 2024

Correct Answer: Kailash Satyarthi


Solution : The correct answer is Kailash Satyarthi

Kailash Satyarthi founded the Global March Against Child Labour in 1998. Rather than being an annual march, it was a grassroots movement that inspired numerous people and organisations to unite in the battle against child labour. The march

10 Views

Question : If 25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + $x$, then the value of $x$ lies between:

Option 1: 6 to 10

Option 2: 0 to 5

Option 3: 11 to 15

Option 4: 16 to 20

Team Careers360 22nd Jan, 2024

Correct Answer: 6 to 10


Solution : According to the question,
25% of 400 + 35% of 1260 + 27% of 1800 = 1020 + $x$
⇒ $\frac{25}{100}$ × 400 + $\frac{35}{100}$ × 1260 + $\frac{27}{100}$ × 1800 = 1020 + $x$
⇒ 100 + 441 + 486 = 1020

13 Views

Question : In which year was "Ramlila" inscribed on the UNESCO Representative List of the Intangible Cultural Heritage of Humanity?

Option 1: 2008

Option 2: 2006

Option 3: 2010

Option 4: 2012

Team Careers360 25th Jan, 2024

Correct Answer: 2008


Solution : The correct option is 2008.

In 2008, the traditional performance art form known as "Ramlila" was added to the Intangible Cultural Heritage of Humanity Representative List by UNESCO. With this UNESCO certification, Ramlila's cultural significance and worth are acknowledged as essential components of the

26 Views

Question : Select the INCORRECTLY spelt word from the given sentence.
Gandhiji considared untouchability to be one of India’s major social ills.

Option 1: social

Option 2: major

Option 3: considared

Option 4: untouchability

Team Careers360 25th Jan, 2024

Correct Answer: considared


Solution : The correct choice is the third option.

Explanation:
The correct spelling of the word is "considered."

"Considered" is the past participle of the verb "consider." It means to think about something carefully, contemplate, or take into account. When something is considered, it has been carefully

12 Views

Question : Nowruz is celebrated by which of the following communities in India?

Option 1: Buddhist

Option 2: Jain

Option 3: Sikh

Option 4: Parsi

Team Careers360 21st Jan, 2024

Correct Answer: Parsi


Solution : The correct option is Parsi.

The Parsi community in India celebrates Nowruz. The Parsis are followers of Zoroastrianism, one of the world's oldest monotheistic religions. Nowruz holds significant cultural and religious importance for Zoroastrians, and it marks the beginning of the Zoroastrian calendar year.

16 Views

Question : If a shopkeeper allows a discount of 10% to his customers and still gains 30%, then the marked price of an article which costs INR 450 is:

Option 1: INR 700

Option 2: INR 650

Option 3: INR 500

Option 4: INR 750

Team Careers360 24th Jan, 2024

Correct Answer: INR 650


Solution : Given: Cost price = INR 450
Selling price = $\frac{100+\text{profit %}}{100}\times$ cost price
= $\frac{100+30}{100}\times450$
= $\frac{130}{100}\times450$
= 585
Selling price = $\frac{100-\text{discount %}}{100}\times$ mark price
⇒ $585 = \frac{100-10}{100}\times$ mark price
⇒ Mark price = $\frac{585\times100}{90}$
= 650
Hence, the correct answer is

19 Views

Question : If $\theta$ is an acute angle and $\sin \theta+\operatorname{cosec} \theta=2$, then the value of $\sin ^5 \theta+\operatorname{cosec}^5 \theta$ is:

Option 1: 10

Option 2: 2

Option 3: 4

Option 4: 5

Team Careers360 22nd Jan, 2024

Correct Answer: 2


Solution : Given,
$\sin \theta+\operatorname{cosec} \theta=2$
This is possible only when both $\sin \theta=\operatorname{cosec} \theta=1$
So, $\sin ^5 \theta+\operatorname{cosec}^5 \theta=1^5+1^5$
⇒ $\sin \theta+\operatorname{cosec} \theta=1+1$
⇒ $\sin \theta+\operatorname{cosec} \theta=2$
Hence, the correct answer is 2.

20 Views

Question : The two banks of a canal are straight and parallel. A, B, and C are three persons, of whom A stands on one bank and B and C on the opposite banks. B finds the angle ABC is 30°, while C finds that the angle ACB is 60°. If B and C are 100 metres apart, the breadth of the canal is:

Option 1: $\frac{25}{\sqrt{3}}$ metres

Option 2: $20\sqrt{3}$ metres

Option 3: $25\sqrt{3}$ metres

Option 4: $\frac{20}{\sqrt{3}}$ metres

Team Careers360 24th Jan, 2024

Correct Answer: $25\sqrt{3}$ metres


Solution :
BD = $x$ metre (let)
∴ CD = $(100 - x)$ metres
AD ⊥ BC; AD = $y$ metres
From ∆ ABD,
tan 30° = $\frac{AD}{BD}$
$⇒\frac{1}{\sqrt{3}}=\frac{y}{x}$
$\therefore x=\sqrt{3}y$ ----(1)
From ∆ACD,
$\tan 60° = \frac{AD}{CD}$
$⇒\sqrt{3}=\frac{y}{(100 - x)}$
$\therefore y=(100 - x)\sqrt{3}$
Using

18 Views

Question : Directions: In the given question, if a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed on the left side of the figure (on line AB). So, the left side of the

14 Views

Question : If $0 \leq \theta \leq 90^{\circ}$ and $\sec ^{107} \theta+\cos ^{107} \theta=2$, then, $(\sec \theta+\cos \theta)$ is equal to:

Option 1: $2$

Option 2: $1$

Option 3: $\frac{1}{2}$

Option 4: $2^{-107}$

Team Careers360 25th Jan, 2024

Correct Answer: $2$


Solution : Given,
$\sec^{107} θ + \cos^{107} θ = 2$
Put $θ = 0°$
⇒ $\sec^{107} 0° + \cos^{107} 0° = 2$
⇒ $1^{107} + 1^{107} = 2$
⇒ 1 + 1 = 2
⇒ 2 = 2 (satisfied)
Now,
$\sec θ + \cos θ$
= $\sec

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