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Staff Selection Commission Sub Inspector Exam

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Question : Directions: Select the option that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

 

Option 4:

 

Team Careers360 25th Jan, 2024

Correct Answer:

 


Solution : Here the pattern is as follows — 
1. O and X signs are constant and are rotating in this loop of the triangle.
2. The >  symbol is replaced with a new symbol and changes its position in the form of a triangle.

Hence, the fourth

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Question : If X, Y, Z, and W are in proportion. X = 3, Y = 13, and W = 39, determine Z.

Option 1: 5

Option 2: 20

Option 3: 15

Option 4: 9

Team Careers360 25th Jan, 2024

Correct Answer: 9


Solution : Given: X = 3, Y = 13, and W = 39
We know that, if X, Y, Z, and W are in proportion; then $\frac{X}{Y}=\frac{Z}{W}$
Putting the values, we get:
⇒ $\frac{3}{13}=\frac{Z}{39}$
⇒ $Z=9$
Hence, the correct answer is 9.

16 Views

Question : If the radius of a sphere is doubled, then its surface area will be increased by:

Option 1: 100%

Option 2: 200%

Option 3: 300%

Option 4: 400%

Team Careers360 23rd Jan, 2024

Correct Answer: 300%


Solution : Given that the radius of a sphere is doubled.
Let initial radius = $r_0$
We know that the surface area of a sphere = $4\pi r^2$
⇒ Initial surface area = $4\pi r_0^2$
Now, final radius = $2r_0$
⇒ Final surface area =$4\pi(2r_0)^2$
= $4×4\pi

12 Views

Question : What is the name of the grasslands of Southern Africa?

Option 1: Savannah

Option 2: Pampas

Option 3: Velds

Option 4: Prairies

Team Careers360 24th Jan, 2024

Correct Answer: Velds


Solution : The correct answer is Velds.

The term "veld" refers to vast, open grasslands in Southern Africa that are generally devoid of trees. It is a word derived from Afrikaans, which is one of the languages spoken in South Africa.

11 Views

Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".

My friends said (1) / me that he was (2) / unable to come. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 23rd Jan, 2024

Correct Answer: (1)


Solution : The correct choice is the first option.

The error is in the use of "said", which should be replaced with "told". In the reported speech, we use "told" to indicate that someone communicated information to another person.

Therefore, the correct sentence is: My friends

15 Views

Question : If the value of $\operatorname{cosec} A + \cot A = m$, then the value of $\operatorname{cosec} A - \cot A$ is:

Option 1: $\frac{1}m$

Option 2: $m$

Option 3: $\sqrt{m}$

Option 4: $m^2$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{1}m$


Solution : Given: $\operatorname{cosec} A + \cot A = m$
We Know that, $\operatorname{cosec}^2 A - \cot^2 A = 1$
$⇒(\operatorname{cosec} A - \cot A)(\operatorname{cosec}A + \cot A) = 1$
Substituting $m$ for $\operatorname{cosec} A + \cot A$, we get:
$\therefore\operatorname{cosec} A - \cot A = \frac{1}{m}$

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