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Staff Selection Commission Sub Inspector Exam

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Question : If $x^4+x^2 y^2+y^4=133$ and $x^2-x y+y^2=7$, then what is the value of $xy$?

Option 1: 8

Option 2: 12

Option 3: 4

Option 4: 6

Team Careers360 24th Jan, 2024

Correct Answer: 6


Solution : Given: $x^2-x y+y^2=7$ -----------(i)
Also, $x^4+x^2 y^2+y^4=133$
⇒ $(x^2-x y+y^2)(x^2+x y+y^2) = 133$
⇒ $7(x^2+x y+y^2) = 133$
⇒ $x^2+x y+y^2 = 19$ ------------(ii)
Subtracting (i) from (ii),
$2xy = 19-7$
⇒ $xy = 6$
Hence, the correct answer is 6.

12 Views

Question : The three-tier Panchayati Raj system in India is proposed by the

Option 1: Balwant Rai Mehta Committee

Option 2: Ashok Mehta Committee

Option 3: Royal Commission

Option 4: None of the above

Team Careers360 13th Jan, 2024

Correct Answer: Balwant Rai Mehta Committee


Solution : The correct answer is the Balwant Rai Mehta Committee.

This three-tier system aims to the development of Local Self Government bodies in Villages, Zones, and District levels. The system was introduced by the 73rd Constitutional Amendment Act in 1992. By this

28 Views

Question : Directions: Some equations are solved based on certain systems. On the same basis find the correct answer for the unsolved equation.
If 13 X 12 = 651 and 41 X 23 = 448, then 24 X 22 =?

Option 1: 504

Option 2: 46

Option 3: 528

Option 4: 924

Team Careers360 20th Jan, 2024

Correct Answer: 924


Solution : Given:
If 13 X 12 = 651 and 41 X 23 = 448, then 24 X 22 =?

Interchange the digits of the numbers and multiply these digits, to get the required answer.
Like, 13 X 12→31 × 21 = 651
And, 41 X 23→14

8 Views

Question : Who among the following presides over a joint sitting of both the Houses summoned by the President of India?

Option 1: Chairman of Rajya Sabha

Option 2: Speaker of Lok Sabha

Option 3: President of India

Option 4: Prime Minister of India

Team Careers360 12th Jan, 2024

Correct Answer: Speaker of Lok Sabha


Solution : The correct answer is Speaker of Lok Sabha.

A tenth share of the total number of members of both chambers must be present for a Joint Sitting of Parliament. The Rajya Sabha and Lok Sabha could come to a deadlock in exceptional

12 Views

Question : In which year was the first-ever motion to remove a Supreme Court Justice signed by 108 members of the Parliament?

Option 1: 1996

Option 2: 1978

Option 3: 1984

Option 4: 1991

Team Careers360 17th Jan, 2024

Correct Answer: 1991


Solution : The correct answer is 1991.

In 1991, the first-ever motion to remove a Supreme Court Justice was signed by 108 members of Parliament. The motion was against Justice V. Ramaswami, who was accused of wrongdoing related to his tenure as Chief Justice of the

15 Views

Question : Who invented the electric motor?

Option 1: Michael Faraday

Option 2: Guglielmo Marconi

Option 3: James Watt

Option 4: Isaac Newton

Team Careers360 17th Jan, 2024

Correct Answer: Michael Faraday


Solution : The correct option is Michael Faraday.

A device that transforms electrical energy into mechanical energy is an electric motor. In 1821, Michael Faraday created it. Electric motors can be powered by alternating current (AC) sources such as the power grid, inverters, or generators,

14 Views

Question : Choose the most appropriate meaning of the underlined phrase.
What we need is skilled and energetic planning and elbow grease.

Option 1: The grease that is earned through labour

Option 2: Hard work that one puts into cleaning one’s elbow

Option 3: Hard work that one puts into removing grease

Option 4: Hard work that one puts into doing something

Team Careers360 11th Jan, 2024

Correct Answer: Hard work that one puts into doing something


Solution : The correct choice is the fourth option.

The term elbow grease is an idiomatic expression that refers to physical effort or hard work, especially when it involves manual labour. The phrase is often used to highlight the importance

94 Views

Question : The HCF of the two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two numbers is:

Option 1: 435

Option 2: 377

Option 3: 406

Option 4: 464

Team Careers360 18th Jan, 2024

Correct Answer: 435


Solution : The HCF of a group of numbers will be always a factor in their LCM.
HCF is the product of all common prime factors using the least power of each common prime factor.
LCM is the product of the highest powers of all prime factors.

12 Views

Question : Golden Revolution refers to

Option 1: Sericulture

Option 2: Horticulture

Option 3: Apiculture

Option 4: Viticulture

Team Careers360 21st Jan, 2024

Correct Answer: Horticulture


Solution : The correct answer is Horticulture.

Nirpakh Tutej is regarded as the Father of the Golden Revolution. In India, the time frame from 1991 to 2003 is famous for Golden Revolution.

21 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series, will complete the series.
_ EF _ E _ EE _ _ EF

Option 1: FEFEF

Option 2: FEFFE

Option 3: EEFEF

Option 4: EEFFE

Team Careers360 24th Jan, 2024

Correct Answer: EEFFE


Solution : Given:
_ EF _ E _ EE _ _ EF

Divide the series into parts: _ EF/ _ E _ / EE _ / _ EF
Let's check each option –
First option: FEFEF; FEF/ EEF / EEE / FEF

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