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Staff Selection Commission Multi Tasking Staff Exam

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Question : If the third proportion of 3 and $x$ is 27 and the third proportion of 2 and $y$ is 8, then find $x : y$.

Option 1: 7 : 9

Option 2: 4 : 5

Option 3: 3 : 7

Option 4: 9 : 4

Team Careers360 8th Jan, 2024

Correct Answer: 9 : 4


Solution : If c is called the third proportional to a and b, then a : b = b : c
The third proportion of 3 and $x$ is 27.
So, $\frac{3}{x}=\frac{x}{27}$
$⇒x=\sqrt{3×27}$
$\therefore x = 9$
The third proportion of 2 and $y$ is

4 Views

Question : The breaking up of the rocks on the earth's surface is called___________.

Option 1: conurbation

Option 2: weathering

Option 3: desertification

Option 4: flacking

Team Careers360 22nd Jan, 2024

Correct Answer: weathering


Solution : The correct option is weathering.

The dissolution or breakdown of rocks and minerals on the surface of the Earth is known as weathering. Weathering agents include plants, animals, water, ice, acids, salt, and temperature fluctuations. After the rock has broken down, the minerals and rock

9 Views

Question : Select the most appropriate option to fill in the blank.

The ______ of directors will decide the penalty.

Option 1: bowed

Option 2: braid

Option 3: bored

Option 4: board

Team Careers360 16th Jan, 2024

Correct Answer: board


Solution : The correct choice is the fourth option.

A board is a group of people that is responsible for decision-making in an organisation. This helps convey the intended meaning that the board of directors, meaning the group of people designated as directors in an organisation,

5 Views

Question : Directions: In the following question, select the related number from the given alternatives.
100 : 121 :: 36 : ?

Option 1: 64

Option 2: 49

Option 3: 25

Option 4: 16

Team Careers360 14th Jan, 2024

Correct Answer: 49


Solution : Given:
100 : 121 :: 36 : ?

Like, 100 : 121→(10)2 = 100 and (11)2 = 121
Similarly, 36 : ?→(6)2 = 36 and (7)2 = 49

Hence, the second option is correct.

20 Views

Question : What is the value of (A × B) if A = 7 × 21 ÷ 49 - 8 × 7 ÷ 16 and B = 12 ÷ 6 – 3 × 2 + 5 × 3.

Option 1: –7

Option 2: –4.5

Option 3: –6

Option 4: –5.5

Team Careers360 7th Jan, 2024

Correct Answer: –5.5


Solution : According to the question
 A = 7 × 21 ÷ 49 - 8 × 7 ÷ 16 
 B = 12 ÷ 6 - 3 × 2 + 5 × 3
Now,
⇒ (A × B) = (7 × 21 ÷ 49 – 8 × 7

11 Views

Question : What is the third proportion of the numbers 15 and 30?

Option 1: 45

Option 2: 50

Option 3: 40

Option 4: 60

Team Careers360 24th Jan, 2024

Correct Answer: 60


Solution : The third proportion of two numbers $a$ and $b= \frac{b^2}{a}$
Substituting $a = 15$ and $b = 30$ into the formula,
So, the third Proportion = $\frac{30^2}{15}$ = 60
Hence, the correct answer is 60.

14 Views

Question : Select the most appropriate meaning of the given idiom.

Castle in the air

Option 1: Acquire something honestly

Option 2: Unrealistic plan

Option 3: Very expensive

Option 4: Polluted air

Team Careers360 25th Jan, 2024

Correct Answer: Unrealistic plan


Solution : The correct choice is the second option.

The idiom "castle in the air" is used to describe a fanciful or impractical project or idea that is unlikely to be realised. It implies that the plan or dream is like building a castle in

27 Views

Question : Select the most appropriate option to fill in the blank.
The researcher team took air ______ from the room every five minutes to rule out the possibility of a virus.

Option 1: instances

Option 2: slices

Option 3: samples

Option 4: droops

Team Careers360 14th Jan, 2024

Correct Answer: samples


Solution : The correct option will be the third option.

In the context of scientific research and testing for the presence of a virus, samples refer to a small portion or representative selection of air that can be analysed.

Instances, slices, and droops do not convey the

15 Views

Question : Simple interest on a sum for eight months at the rate of 8 percent per annum is Rs. 240. What is the value of the sum?

Option 1: Rs. 7500

Option 2: Rs. 6000

Option 3: Rs. 7200

Option 4: Rs. 4500

Team Careers360 19th Jan, 2024

Correct Answer: Rs. 4500


Solution : According to the question
Simple interest = $\frac{P × R × T}{100}$
⇒ 240 = $\frac{P × 8 × \frac{8}{12}}{100}$
⇒ 240 = $\frac{P × \frac{64}{12}}{100}$
⇒ 240 = $\frac{P×\frac{16}{3}}{100}$
⇒ P = $\frac{24000×3}{16}$ = 4500
Hence, the correct answer is Rs. 4500.

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