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Staff Selection Commission Sub Inspector Exam

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Question : Stress can be defined as _____ quantity.

Option 1: scalar

Option 2: vector

Option 3: phasor

Option 4: tensor

Team Careers360 24th Jan, 2024

Correct Answer: tensor


Solution : The correct option is tensor.

Stress can be defined as a tensor quantity. The stress tensor, a second-order tensor that is the distribution of internal forces within a material, represents stress. This tensor contains magnitude and direction information and is used to investigate how

11 Views

Question : A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of $x$?

Option 1: 10.5

Option 2: 3.5

Option 3: 7

Option 4: 21

Team Careers360 22nd Jan, 2024

Correct Answer: 10.5


Solution : The volume of the sphere = $\frac {4}{3}\pi r^3$,
Volume of a cone = $\frac{1}{3}\pi r^2h$, where $r$ = radius, $h$ = height
According to the question,
$\frac {4}{3}\pi r^3= 126 × \frac{1}{3}\pi r^2h$
⇒ $x^{3} = \frac{126}{4} × 3.5 × 3.5 × 3$
⇒

12 Views

Question : The ratio of investments of P and Q is 4 : 5. P invests for 1 year and Q invests for 2 years. What is the ratio of profit of P and Q?

Option 1: 3 : 5

Option 2: 4 : 7

Option 3: 2 : 5

Option 4: 1 : 2

Team Careers360 16th Jan, 2024

Correct Answer: 2 : 5


Solution : The ratio of investment of P and Q = 4 : 5
Time ratio (in years) = 1 : 2
The profit ratio is equal to the product of investment and time ratio.
So, the profit ratio of P and Q = (4

23 Views

Question : If $P=\frac{(\sqrt7-\sqrt6)}{(\sqrt7+\sqrt6)}$, then what is the value of $(P+\frac{1}{P})?$

Option 1: 12

Option 2: 13

Option 3: 24

Option 4: 26

Team Careers360 17th Jan, 2024

Correct Answer: 26


Solution : $P=\frac{(\sqrt7-\sqrt6)}{(\sqrt7+\sqrt6)}$
$P=\frac{(\sqrt7-\sqrt6)}{(\sqrt7+\sqrt6)}\times \frac{(\sqrt7-\sqrt6)}{(\sqrt7-\sqrt6)}$
$P=7+6-2\sqrt{42} = 13-2\sqrt{42}$
$\frac{1}{P} = \frac{1}{13-2\sqrt{42}}\times \frac{13+2\sqrt{42}}{13+2\sqrt{42}}$
$P=13+2\sqrt{42}$
$P+\frac{1}{P} = 13-2\sqrt{42}+13+2\sqrt{42}=26$
Hence, the correct answer is 26.

15 Views

Question : In the context of NITI Aayog, what does "T" stand for in NITI?

Option 1: Travelling

Option 2: Training

Option 3: Transforming

Option 4: Transferring

Team Careers360 23rd Jan, 2024

Correct Answer: Transforming


Solution : The correct answer is Transforming.

NITI Aayog stands for the National Institution for Transforming India and is a policy think tank of the central government which provides guidelines and inputs regarding the different programmes, initiatives and policies of the government. Niti Aayog was formed

13 Views

Question : Regarding taxonomic categories, the term "Mammalia" is a/an____________.

Option 1: class

Option 2: family

Option 3: order

Option 4: phylum

Team Careers360 20th Jan, 2024

Correct Answer: class


Solution : The correct option is class.

Concerning taxonomic categories, the term "Mammalia" is a class. In the hierarchical classification system, living organisms are grouped into a series of taxonomic ranks and "Mammalia" is one of these ranks at the class level. The class Mammalia includes

16 Views

Question : Mehrgarh, a Neolithic settlement, is situated in the ______ province of Pakistan.

Option 1: Punjab

Option 2: Balochistan

Option 3: Khyber Pakhtunkhwa

Option 4: Sindh

Team Careers360 15th Jan, 2024

Correct Answer: Balochistan


Solution : The correct option is Balochistan.

Located in Pakistan's Balochistan province, Mehrgarh is a notable archaeological site which represents a Neolithic village of the ancient Indus Valley Civilization. Pakistan's southwest province is called Balochistan and Mehrgarh is situated in the Kachi Plain close to the

102 Views

Question : How many balls are there in an over in cricket?

Option 1: 4

Option 2: 6

Option 3: 7

Option 4: 5

Team Careers360 16th Jan, 2024

Correct Answer: 6


Solution : The correct answer is 6.

There are six balls in an over in cricket. Each ball must be bowled by the same bowler unless the bowler who starts the over gets injured mid-way through. An extra delivery will be added to the end of

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