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Staff Selection Commission Sub Inspector Exam

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Question : Which of the following cities is situated along the Coromandel Coast?

Option 1: Tiruchirappalli

Option 2: Vellore

Option 3: Tirunelveli

Option 4: Tuticorin

Team Careers360 5th Jan, 2024

Correct Answer: Tuticorin


Solution : The correct option is Tuticorin.

Tuticorin, officially known as Thoothukudi, is a port city in the Thoothukudi district of the Indian state of Tamil Nadu. It is a major port city, and its port, known as V. O. Chidambaranar Port Trust, is one of

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Question : Select the option that expresses the given sentence in active voice.

The villain of the play was hated by the audience.

Option 1: The audience hated the villain of the play.

Option 2: The villain hated the audience of the play.

Option 3: The audience had hated the villain of the play.

Option 4: The audience was hating the villain of the play.

Team Careers360 25th Jan, 2024

Correct Answer: The audience hated the villain of the play.


Solution : The correct choice is the first option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.

The

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Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$, what is the value of $(x^3+\frac{1}{x^3})$?

Option 1: $\frac{3\sqrt{3}}{5}$

Option 2: $\frac{3\sqrt{15}}{5}$

Option 3: $\frac{3\sqrt{15}}{8}$

Option 4: $\frac{3\sqrt{5}}{8}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{3\sqrt{15}}{8}$


Solution : Given: $x^2+\frac{1}{x^2}=\frac{7}{4}$
⇒ $x^2+\frac{1}{x^2}+2=\frac{7}{4}+2$ [adding 2 on both sides]
⇒ $x^2+\frac{1}{x^2}+2×x^2×\frac{1}{x^2}=\frac{15}{4}$
⇒ $(x+\frac{1}{x})^2=\frac{15}{4}$
$\therefore (x+\frac{1}{x})=\frac{\sqrt{15}}{2}$
Now, we know,
$(x+\frac{1}{x})^3=x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})$
⇒ $(\frac{\sqrt{15}}{2})^3=x^3+\frac{1}{x^3}+3×\frac{\sqrt{15}}{2}$
$\therefore x^3+\frac{1}{x^3}= \frac{15\sqrt{15}}{8}-\frac{3\sqrt{15}}{2}=\frac{3\sqrt{15}}{8}$
Hence, the correct answer is $\frac{3\sqrt{15}}{8}$.

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Question : The difference between the 38% of a number and 22% of that number is 3200. What is the $15 \frac{1}{2}$% of that number?

Option 1: 3100

Option 2: 3200

Option 3: 3000

Option 4: 2800

Team Careers360 16th Jan, 2024

Correct Answer: 3100


Solution : Let the number be 100%.
The difference between the 38% of a number and 22% of that number = 3200
⇒ 38% – 22% = 3200
⇒ 16% = 3200
⇒ 100% = 20000
Now,
⇒ 15$\frac{1}{2}$% of 2000 = 3100
Hence, the correct answer

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Question : In a circle of radius 5 m, AB and CD are two equal and parallel chords of length 8 m each. What is the distance between the chords?

Option 1: 5 m

Option 2: 6 m

Option 3: 3 m

Option 4: 8 m

Team Careers360 13th Jan, 2024

Correct Answer: 6 m


Solution :
Given: Radius($OB$) = 5 m
Chord ($AB$) = 8 m
So, $AQ = BQ = \frac{8}{2} = 4$ m
By Pythagoras' theorem,
$OQ^2=OB^2-BQ^2$
⇒ $OQ^2=5^2-4^2$
⇒ $OQ^2=25-16$
⇒ $OQ^2=9$
⇒ $OQ=3$
$\therefore$ Distance between the chord $PQ=2\times 3 = 6$ m
Hence, the correct

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Question : Directions: PRO 5 is related to OSQ 15 in a certain way. In the same way, OPO 10 is related to NQQ 30. Which of the following is related to MAC 9 using the same logic?

Option 1: NZA 3

Option 2: OZA 3

Option 3: NZB 3

Option 4: NZA 27

Team Careers360 11th Jan, 2024

Correct Answer: NZA 3


Solution : Given:
PRO 5 is coded as OSQ 15, OPO 10 is coded as NQQ 30

PRO 5→P(16) – 1 = O(15); R(18) + 1 = S(19); O(15) + 2 = Q(17); 5 × 3 = 15
OPO 10→O(15) – 1 = N(14); P(16) +

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Question : Comprehension:
Read the given passage and answer the questions that follow.

Key factors influencing subway air pollution will include station depth, date of construction, type of ventilation (natural/air conditioning), types of brakes (electromagnetic or conventional brake pads) and wheels (rubber or steel) used on the trains, train frequency, and more recently, the presence or absence of platform screen-door systems. In particular, much subway particulate matter is sourced from moving train parts such as wheels and brake pads, as well as from the steel rails and power supply materials, making the particles dominantly iron-containing. To date, there is no clear epidemiological indication of abnormal health effects on underground workers and commuters. New York subway workers have been exposed to such air without significant observed impacts on their health, and no increased risk of lung cancer was found among subway train drivers in the Stockholm subway system. But a note of caution is struck by the observations of scholars who found that employees working on the platforms of Stockholm underground, where PM concentrations were greatest, tended to have higher levels of risk markers for cardiovascular disease than ticket sellers and train drivers. The dominantly ferrous particles are mixed with particles from a range of other sources, including rock ballast from the track, biological aerosols such as bacteria and viruses, and air from the outdoors, and driven through the tunnel system on turbulent air currents generated by the trains themselves and ventilation systems.

Question

Select the most suitable word from the passage, which means ‘not covered or hidden’.

Option 1: Turbulent

Option 2: Sourced

Option 3: Abnormal

Option 4: Exposed

Team Careers360 17th Jan, 2024

Correct Answer: Exposed


Solution : The fourth option is correct.

Explanation:
Exposed fits the description of something not covered or hidden. In the context of the passage, it refers to individuals being subjected to or coming into contact with subway air pollution and its components without any concealment or protection.

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