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Staff Selection Commission Sub Inspector Exam

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21 Views

Question : Circum-centre of $\triangle PQR$ is O. If $\angle QPR=55^{\circ}$ and $\angle QRP=75^{\circ}$, What is the value (in degree) of $\angle OPR$?

Option 1: 45°

Option 2: 40°

Option 3: 65°

Option 4: 70°

Team Careers360 24th Jan, 2024

Correct Answer: 40°


Solution :
In $\triangle$PQR we have,
$\angle$QPR = 55° and $\angle$QRP = 75°
⇒ $\angle$PQR = 180° – (55° + 75°) = 180° – 130° = 50°
⇒ $\angle$POR = 2 × $\angle$PQR = 2 × 50° = 100°
In $\triangle$OPR,
$\angle$OPR = $\angle$ORP [since OR =

22 Views

Question : Which organization is operating the Pradhan Mantri Vaya Vandana Yojana of the Government of India?

Option 1: State Bank of India

Option 2: LIC of India

Option 3: Unit Trust of India

Option 4: Post Office

Team Careers360 25th Jan, 2024

Correct Answer: LIC of India


Solution : The correct option is LIC of India.

The Pradhan Mantri Vaya Vandana Yojana has been introduced by the Indian Government for citizens 60 years of age and older. The exclusive right to run this programme has been granted to the LIC of

15 Views

Question : Directions: Which two signs must be interchanged to correct the following equation?
32 − 8 ÷ 4 + 5 × 6 = 30

Option 1: × and +

Option 2: × and ÷

Option 3: ÷ and −

Option 4: ÷ and +

Team Careers360 20th Jan, 2024

Correct Answer: ÷ and −


Solution : Given:
32 − 8 ÷ 4 + 5 × 6 = 30

Let's check the options –
First options: × and +
32 − 8 ÷ 4 × 5 + 6 = 30
On solving the L.H.S. of the given equation –
=

16 Views

Question : The Third Round Table Conference was held in the year________.

Option 1: 1932

Option 2: 1931

Option 3: 1933

Option 4: 1930

Team Careers360 16th Jan, 2024

Correct Answer: 1932


Solution : The correct answer is 1932.

November 17, 1932, saw the start of the third Round Table Conference, which ran until December 24, 1932. This summit was also not attended by the leaders of Congress. Without the participation and presence of Congress leaders, a conclusion

170 Views

Question : PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Measure of $\frac{1}{2} \angle \mathrm{PSQ}$ is:

Option 1: 20°

Option 2: 15°

Option 3: 30°

Option 4: 60°

Team Careers360 25th Jan, 2024

Correct Answer: 30°


Solution :

Since PQR is an equilateral triangle inscribed in a circle, each of its angles is 60°.
$\angle PSQ=\angle QRP = $ 60°    (Angles in the same segment)
$\frac{1}{2}\times \angle PSQ=\frac{60°}{2}=30°$
Hence, the correct answer is 30°.

19 Views

Question : What is the value of $111\frac{1}{2} + 111\frac{1}{6} + 111\frac{1}{12} + 111\frac{1}{20} + 111\frac{1}{30}?$

Option 1: $111\frac{1}6$

Option 2: $111\frac{5}6$

Option 3: $555\frac{5}6$

Option 4: $555\frac{1}6$

Team Careers360 15th Jan, 2024

Correct Answer: $555\frac{5}6$


Solution : $111 \frac{1}{2} + 111 \frac{1}{6} + 111\frac{1}{12}+111 \frac{1}{20} + 111\frac{1}{30}$
= $5\times 111+( \frac{1}{2} + \frac{1}{6} + \frac{1}{12}+\frac{1}{20} + \frac{1}{30})$
= $555+( \frac{1}{1\times 2} + \frac{1}{2\times 3} + \frac{1}{3\times 4}+\frac{1}{4\times 5} + \frac{1}{5\times 6})$
= $555+(\frac{1}{1}-\frac{1}{2} + \frac{1}{2} -\frac{1}{3}+ \frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5} + \frac{1}{5}-\frac{1}{6})$
= $555 +(\frac{1}1-\frac{1}6)$

12 Views

Question : Which of the following articles of the Indian Constitution mentions that all executive actions of the Government of India shall be expressed to be taken in the name of the President?

Option 1: Article 81

Option 2: Article 67

Option 3: Article 77

Option 4: Article 48

Team Careers360 21st Jan, 2024

Correct Answer: Article 77


Solution : The correct answer is Article 77.

Article 77 of the Indian Constitution states that all executive actions of the Government of India shall be expressed to be taken in the name of the President. It deals with the conduct of business by the

19 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’.

Psychology and Sociology are very interesting science to study.

Option 1: science to studies

Option 2: science for study

Option 3: No substitution required

Option 4: sciences to study

Team Careers360 18th Jan, 2024

Correct Answer: sciences to study


Solution : The correct choice is the fourth option.

Explanation:

While the subjects psychology and sociology are typically considered singular when referring to academic disciplines, in some contexts, they can be treated as plural, especially when emphasising the individual components of the broader field.

109 Views

Question : The term used to describe a person who spends plenty of time exploring the internet is

Option 1: Net addict

Option 2: Netguru

Option 3: Cybernaut

Option 4: Cyberphile

Team Careers360 12th Jan, 2024

Correct Answer: Net addict


Solution : The correct option is the Net addict.

While the word net addict is often used informally, internet addict is the more commonly used phrase in conversations concerning excessive internet use.

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