Staff Selection Commission Sub Inspector Exam
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
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.
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
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
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
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
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
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
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
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
Question : Who invented the electric motor?
Option 1: Michael Faraday
Option 2: Guglielmo Marconi
Option 3: James Watt
Option 4: Isaac Newton
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,
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
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
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
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.
Question : Golden Revolution refers to
Option 1: Sericulture
Option 2: Horticulture
Option 3: Apiculture
Option 4: Viticulture
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.
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
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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