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Hssc Group ‘d’ Exam (Shift-I) 17/11/2018

📆 March 21, 2025

Total Questions: 90

41. The distance between the points (a, b) and (-a, -b) are

Correct Answer: (3) 2√a²+b²
Solution:Distance between (a, b) and (-a, -b)

=√(-a-a)²+(-b-b)²

= √(-2a)²+(-2b)²

= √4a²+4b² = 2√a²+b²

42. The main presence of Aravali Hills is found in the District of

Correct Answer: (4) Hisar
Solution:The Aravalli rangehas presence in Faridabad, Gurgaon, Mewat, Mahendargarh and Rewari districts of Haryana. Out of the total area of 1,18,736 hectares, the Aravalli hills occupy an area of 11,256 (9.48 per cent) hectares in Gurgaon. In Faridabad, the Aravalli hills are spread over 9,208 hectares; while its area in Mewat is 19,965 hectares (12.08 percent).

43. The 'Champions of the Earth' Award is presented by

Correct Answer: (3) UNEP
Solution:The United Nations Environment Programme (UN Environment) established Champions of the Earth in 2005 as an annual awards programme to recognize outstanding environmental leaders from the public and private sectors, and from civil society. This awards programme is a successor to UNEP's Global 500 Roll of Honour.

44. Panchayat Raj Act came into existence pursuant to Constitutional Amendment Act.

Correct Answer: (3) 73rd
Solution:In India, the Panchayati Raj system was formalized in 1992 by the 73rd amendment to the Indian Constitution. On 24 April 1993, the Constitutional (73rd amendment) Act 1992 came into force to provide constitutional status to the Panchayati Raj institutions.

45. Ms. X moves 20 metres in the East direction and then turns to her left and walks 15 metres and then turns to her right and moves 25 metres. After this, she turns to her right and moves 15 metres. Now, how far is she from the starting point?

Correct Answer: (3) 45 metres
Solution:

46. ______does not react with dilute HCI.

Correct Answer: (2) Cu
Solution:Copper is quite an inactive metal and does not react with dilute acids under normal circumstances. It is below hydrogen in the reactivity series. This means that copper is less reactive than hydro-gen and hence cannot displace it from the acidic solution. However, copper only reacts with strong oxidizing acids such as nitric acid and concentrated sulfuric acid

47. If secθ =4/√7, then value of

√2tan² θ  - cosec²θ/ 2cos² θ - cot²θ is

Correct Answer: (4) None of these
Solution:secθ =  4/√7 ⇒ cosθ =√7/4

∴ sec²θ - tan²θ = 1

⇒ 16/7  - tan²θ = 1

⇒ tan²θ = 16/7 -1 = 9/7

⇒ tanθ = 3/√7

∴ cotθ = √7/3

again,

cosec²θ - cot²θ = 1

⇒ cosec²θ - 7/9 = 1

⇒ cosec²θ = 1 + 7/9 = 16/9

∴ Expression

= √2 tan² θ - cosec²θ/ 2cos² θ - cot² θ

= √2*9/7 - 16/9/ 2*7/16 - 7/9

= √162-112/126-112 = √50/14 = √25/7

= 5/√7

48. If 15th of August was Wednesday, then 1st August of the same year was

Correct Answer: (2) Wednesday
Solution:15th August → Wednesday Other Wednesdays

⇒1st, 8th, 22nd and 29th

49. During the freedom movement, who among the following revolutionary turned into a philosopher?

Correct Answer: (2) Aurabindo Ghosh
Solution:Aurobindo Ghosh was an Indian revolutionary leader who fought against the British for India's independence. Later, he became a spiritual reformer, introducing his visions on human progress and spiritual evolution. The central theme of his vision was the evolution of human life into a life divine. He believed in a spiritual realization that not only liberated man but transformed his nature, enabling a divine life on earth.

50. Who among the following has beer Speaker of Haryana Vidhan Sabha for maximum number of times?

Correct Answer: (2) Harmahendra Singh Chadda
Solution:Harmahendra Singh Chadda has been the speaker of Haryana Vidhan Sabha for maximum number of times. He is a senior Congress leader. He has also served as the finance minister of Haryana.
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