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Staff Selection Commission Sub Inspector Exam

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Question : If a + b + c = 10 and a2 + b2 + c2 = 48, then the value of ab + bc + ca is _______.

Option 1: 25

Option 2: 26

Option 3: 24

Option 4: 18

Team Careers360 25th Jan, 2024

Correct Answer: 26


Solution : Given: a + b + c = 10 and a2 + b2 + c2 = 48
Using the formula: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
⇒ (10)

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Question : The radius of a wheel moving on a road is $8\frac{3}{4}$ cm. How many rounds it will take to complete the 55 metres distance?

Option 1: 10

Option 2: 11

Option 3: 100

Option 4: 55

Team Careers360 20th Jan, 2024

Correct Answer: 100


Solution : Radius = $r$ = $8\frac{3}{4}$
Distance covered in 1 revolution = Circumference of wheel
Distance covered in 1 revolution = $2\pi r $
= $2 × \frac{22}{7} × \frac{35}{4} = 55$ cm
Required number of revolutions to cover 55 m = $\frac{55×100}{55}$
= 100
Hence,

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Question : What do you call the fluid matrix filling in the cell?

Option 1: Ribosome

Option 2: Plasmid

Option 3: Cytoplasm

Option 4: Golgi bodies

Team Careers360 23rd Jan, 2024

Correct Answer: Cytoplasm


Solution : The correct answer is cytoplasm.

The jelly-like material that lies between the nucleus and the cell membrane is called the cytoplasm. It serves as a location for different metabolic reactions and houses organelles. The cytoplasm, a semi-fluid matrix, fills the volume of prokaryotic and eukaryotic

47 Views

Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series.
144, 171, 200, ?, 264

Option 1: 240

Option 2: 256

Option 3: 225

Option 4: 231

Team Careers360 21st Jan, 2024

Correct Answer: 231


Solution : Given:
144, 171, 200, ?, 264

Add consecutive odd numbers starting from 27 to the previous term to obtain the next term.
144 + 27 = 171; 171 + 29 = 200; 200 + 31 = 231; 231 + 33 = 264

So, 231 is

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Question : Select the most appropriate one-word substitution for the given group of words.
A form of government in which the supreme power is vested in the people and exercised by their elected agents under a free electoral system.

Option 1: Democracy

Option 2: Anarchy

Option 3: Monarchy

Option 4: Autocracy

Team Careers360 24th Jan, 2024

Correct Answer: Democracy


Solution : The correct choice is the first option.

Explanation: Democracy is a form of government where the supreme power is vested in the people and exercised through a free electoral system by elected representatives.
The meanings of the other options are as follows:

  • Anarchy refers to
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