The question asks for the host city of a specific international sporting event, the 8th Asian Youth Women Handball Championship, held in August 2019. This requires knowledge of current affairs and sports events.
Correct Option: D) Jaipur
The question asks to identify the first metro railway in India, specifically mentioning its inauguration by former Prime Minister Indira Gandhi. This requires knowledge of the history of metro systems in India.
Correct Option: D) Kolkata Metro
The maximum length of a stick that can be kept in a rectangular box of dimensions 15 cm × 8 cm × 6 cm is:
10\(\sqrt{13}\) cm
5\(\sqrt{13}\) cm
5\(\sqrt{26}\) cm
5\(\sqrt{14}\) cm
To find the maximum length of a stick that can be kept in a rectangular box, we need to calculate the length of the main diagonal of the box. The formula for the length of the diagonal of a cuboid (rectangular box) with dimensions length (\(l\)), breadth (\(b\)), and height (\(h\)) is given by \(\sqrt{l^2 + b^2 + h^2}\).
Given the dimensions of the rectangular box as 15 cm \(\times\) 8 cm \(\times\) 6 cm.
The maximum length of the stick will be the length of the space diagonal of the cuboid. The formula is:
\[ \text{Diagonal} = \sqrt{l^2 + b^2 + h^2} \]To simplify \(\sqrt{325}\), we look for perfect square factors of 325. We know that \(325 = 25 \times 13\).
\[ \text{Diagonal} = \sqrt{25 \times 13} = \sqrt{25} \times \sqrt{13} = 5\sqrt{13} \text{ cm} \]Thus, the maximum length of the stick that can be kept in the box is \(5\sqrt{13}\) cm.
B) \(5\sqrt{13}\) cm
How many cities/towns are proposed to be supported for development as 'solar cities' during the 11th Five Year Plan period?
The question asks about the number of cities/towns proposed for development as 'solar cities' during India's 11th Five Year Plan period. This is a factual question related to government initiatives and planning documents. To answer this, one needs to recall or research the specific targets set under the Ministry of New and Renewable Energy's (MNRE) 'Development of Solar Cities' program during that plan period.
B) 60 — The Ministry of New and Renewable Energy (MNRE) aimed to support 60 cities/towns for development as 'solar cities' under its 'Development of Solar Cities' program during the 11th Five Year Plan (2007-2012).
The question asks to identify the leader of the 1857 revolt in Lucknow. This requires knowledge of the key figures and their respective regions during the Indian Rebellion of 1857.
The revolt of 1857 saw various leaders emerge in different parts of India. In Lucknow, the capital of Awadh, the rebellion was led by Begum Hazrat Mahal, who was the wife of the deposed Nawab Wajid Ali Shah. She refused to accept the British annexation of Awadh and proclaimed her young son, Birjis Qadr, as the Nawab, taking charge of the administration and leading the rebellion against the British.
D) Begum Hazrat Mahal — She was the prominent leader of the 1857 revolt in Lucknow (Awadh).
The question asks for the specific date when the term 'United Nations' was first coined. This requires knowledge of the historical timeline leading to the establishment of the United Nations.
Correct Option: C) 1 January 1942
Which among the following represents the Lens formula?
\( \frac{1}{h} \) + \( \frac{1}{v} \) = \( \frac{1}{f} \)
\( \frac{1}{v} \)- \( \frac{1}{u} \)= \( \frac{1}{f} \)
\( \frac{1}{v} \)+ \( \frac{1}{f} \) = \( \frac{1}{u} \)
\( \frac{1}{v} \)+ \( \frac{1}{u} \) = \( \frac{1}{f} \)
The question asks to identify the correct Lens formula. The Lens formula relates the object distance, image distance, and focal length of a lens. We need to recall the standard form of the Lens formula.
B) \[\frac{1}{v} - \frac{1}{u} = \frac{1}{f}\] is the correct representation of the Lens formula.
The question asks to identify the documentary that won an Oscar in the 'Documentary (Short Subject)' category in 2019. This requires knowledge of the Academy Awards results for that specific year and category.
Correct Option: A) Period. End of Sentence
"Period. End of Sentence" won the Oscar for 'Documentary (Short Subject)' at the 91st Academy Awards in 2019. This documentary, directed by Rayka Zehtabchi, focuses on the stigma surrounding menstruation in rural India and the efforts of women to produce and market sanitary pads.
The question asks to identify a Biosphere Reserve in India that is also designated as a UNESCO World Heritage Site. This requires knowledge of both Indian Biosphere Reserves and UNESCO World Heritage Sites in India.
The Sundarbans, located in West Bengal, India, is recognized as both a Biosphere Reserve and a UNESCO World Heritage Site (since 1987). It is famous for its unique mangrove ecosystem and the Bengal tiger.
Correct Option: A) Sundarbans is a bio reserve in India that is also a UNESCO World Heritage Site.