The question asks for the location of the 112-foot bust of 'Lord Shiva in an Adiyogi pose' unveiled by the Prime Minister of India in 2017 at the Isha Yoga Centre. This requires knowledge of significant cultural and spiritual landmarks in India.
Correct Option: D) Coimbatore
To find the mean score of the girls, we will use the concept of weighted average. We know the total number of students, the number of boys, their mean score, and the overall mean score. From this, we can calculate the total score of all students and the total score of the boys. Subtracting the boys' total score from the overall total score will give us the girls' total score. Finally, dividing the girls' total score by the number of girls will yield their mean score.
The total score of boys is the product of the number of boys and their mean score.
\[ \text{Total Score of Boys} = N_b \times \bar{X}_b \]\[ \text{Total Score of Boys} = 12 \times 16 = 192 \]The total score of all students is the product of the total number of students and the overall mean score.
\[ \text{Total Score of All Students} = N_t \times \bar{X}_t \]\[ \text{Total Score of All Students} = 30 \times 18.1 = 543 \]The number of girls (\(N_g\)) is the total number of students minus the number of boys.
\[ N_g = N_t - N_b \]\[ N_g = 30 - 12 = 18 \]The total score of girls is the total score of all students minus the total score of boys.
\[ \text{Total Score of Girls} = \text{Total Score of All Students} - \text{Total Score of Boys} \]\[ \text{Total Score of Girls} = 543 - 192 = 351 \]The mean score of girls (\(\bar{X}_g\)) is the total score of girls divided by the number of girls.
\[ \bar{X}_g = \frac{\text{Total Score of Girls}}{N_g} \]\[ \bar{X}_g = \frac{351}{18} = 19.5 \]Correct Option: C) 19.5
The question asks to identify the author of the autobiographical work 'On My Terms: From the Grassroots to the Corridors of Power'. This requires knowledge of prominent Indian political figures and their published works.
Correct Option: A) Sharad Pawar is the author of the autobiography 'On My Terms: From the Grassroots to the Corridors of Power'. The book details his political journey from his early days in rural Maharashtra to his influential roles in state and national politics.
The question asks to identify which oxide of nitrogen is commonly known as "Laughing Gas". This requires knowledge of the common names and chemical formulas of various nitrogen oxides.
Nitrous oxide, with the chemical formula \(N_2O\), is widely known as Laughing Gas due to its euphoric effects when inhaled.
D) N₂O — This is the chemical formula for Nitrous Oxide, which is commonly known as Laughing Gas. It is used in medicine as an anesthetic and analgesic, particularly in dentistry, and also as a recreational drug.
The question asks to compare the relative cost of gold and silver. This is a general knowledge question based on the intrinsic value, rarity, and market demand for these precious metals.
C) Always — Gold is consistently and significantly more expensive than silver in terms of market value per unit weight. This is a fundamental characteristic of these precious metals driven by their rarity, demand, and historical perception of value.
The question asks to identify the chairman of the All India Council for Technical Education (AICTE) as of 2018. This requires knowledge of the leadership positions in prominent Indian educational bodies during that specific period.
Correct Option: B) Anil Sahasrabudhe was the Chairman of the All India Council for Technical Education (AICTE) from January 2015 to September 2022. Thus, he held this position in 2018.
How many triangles are present in the below figure?
To determine the number of triangles in the given figure, we need to systematically count all possible triangles formed by the intersecting lines.
Thus, the total number of triangles in the figure is 17.
Correct Option: C) 17
The question asks about the part of the human brain responsible for controlling involuntary actions such as blood pressure, salivation, and vomiting. We need to identify the specific brain region associated with these vital autonomic functions.
Correct Option: C) Medulla — The medulla oblongata is a part of the brainstem that controls several essential involuntary functions, including blood pressure regulation, heart rate, breathing, and reflexes like vomiting, coughing, sneezing, and salivation.
What is the fraction which, when taken away from \( \frac{1}{2} \), gives \( \frac{2}{3} \)?
\( \frac{1}{3} \)
\( \frac{1}{6} \)
\( \frac{-1}{3} \)
\( \frac{-1}{6} \)
The problem asks us to find a fraction that, when subtracted from \( \frac{1}{2} \), results in \( \frac{2}{3} \). We can set up an algebraic equation to represent this relationship and then solve for the unknown fraction.
Correct Option: D) \( \frac{-1}{6} \)
The question asks for the specific month in 2017 when India implemented the Goods and Services Tax (GST). This is a factual question related to a significant economic reform in India.
Correct Option: D) India implemented the GST from July 2017. The Goods and Services Tax (GST) was launched nationwide on July 1, 2017, by the Government of India.