The question asks for the year when the new currency symbol of the Indian Rupee was officially adopted. This is a factual question related to Indian economic history and general knowledge.
D) 2010 — The new currency symbol of the Indian Rupee was officially adopted by the Union Cabinet on July 15, 2010.
The question asks to identify India's first multi-petaflop supercomputer installed at IITM, Pune, used for weather and climate predictions. This requires knowledge of prominent supercomputers in India and their applications.
Correct Option: C) Pratyush is India's first multi-petaflop supercomputer, inaugurated in 2018. It is housed at the Indian Institute of Tropical Meteorology (IITM), Pune, and is primarily used for advanced weather and climate modeling and predictions. Its development cost was approximately ₹450 crore, as mentioned in the question.
We are given the percentage of income spent and the amount saved. We need to find the total monthly income. We can determine the percentage of income saved and then use this percentage along with the saved amount to calculate the total income.
If Ashokbhai spends \(10\%\) of his income, the remaining percentage is saved.
\[ \text{Percentage saved} = 100\% - \text{Percentage spent} \] \[ \text{Percentage saved} = 100\% - 10\% = 90\% \]We know that \(90\%\) of his monthly income is ₹\(5,400\).
Let his total monthly income be \(I\).
\[ 90\% \text{ of } I = \text{₹}5,400 \] \[ \frac{90}{100} \times I = 5,400 \]So, Ashokbhai's monthly income is ₹\(6,000\).
Correct Option: C) ₹6,000
The question asks for the establishment year of the National Human Rights Commission (NHRC) in India. This requires knowledge of key dates related to Indian constitutional bodies and human rights institutions.
Correct Option: D) 1993 is the correct year when the National Human Rights Commission was established in India.
The question asks to identify the country where the Zulu tribe is predominantly found. This is a general knowledge question related to world geography and ethnic groups.
B) South Africa. The Zulu people are the largest ethnic group in South Africa, known for their rich history, culture, and language (isiZulu).
The question asks to identify which option is NOT an insulator. An insulator is a material that does not allow electricity or heat to flow through it easily. Conductors, on the other hand, allow electricity and heat to pass through them readily. We need to evaluate each option based on its electrical conductivity.
Correct Option: C) Human body is NOT an example of an insulator because it conducts electricity due to the presence of water and electrolytes.
The question asks to identify which of the given Indian films was NOT nominated for an Oscar award. This requires knowledge of Indian films that have received Oscar nominations in the 'Best International Feature Film' (formerly 'Best Foreign Language Film') category.
Karma (1986) is a popular Bollywood action film directed by Subhash Ghai. While it was a commercial success, it was never nominated for an Academy Award in any category. India's official submission to the Oscars in 1986 was 'Swati Mutyam' (Telugu).
An observer 2 m tall is 150\(\sqrt{3}\) m away from a tower. The angle of elevation from his eye to the top of the tower is 60°. The height of the tower is:
This problem involves trigonometry, specifically the concept of the angle of elevation. We need to use the tangent function to relate the height of the tower above the observer's eye level, the distance from the observer to the tower, and the angle of elevation. Finally, we add the observer's height to find the total height of the tower.
Identify the given values:
Visualize the situation:
Imagine a right-angled triangle formed by:
Apply the tangent function:
Let \(h\) be the height of the tower above the observer's eye level. The tangent of the angle of elevation is the ratio of the opposite side to the adjacent side.
\[ \tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}} \]\[ \tan(60^\circ) = \frac{h}{150\sqrt{3}} \]Substitute the value of \(\tan(60^\circ)\):
We know that \(\tan(60^\circ) = \sqrt{3}\).
\[ \sqrt{3} = \frac{h}{150\sqrt{3}} \]Solve for \(h\):
Multiply both sides by \(150\sqrt{3}\):
\[ h = \sqrt{3} \times 150\sqrt{3} \]\[ h = 150 \times (\sqrt{3} \times \sqrt{3}) \]\[ h = 150 \times 3 \]\[ h = 450 \text{ m} \]Calculate the total height of the tower:
The height \(h\) is the height of the tower from the observer's eye level. To find the total height of the tower, we must add the observer's height.
Total height of tower \( = h + \text{Observer's height}\)
Total height of tower \( = 450 \text{ m} + 2 \text{ m}\)
Total height of tower \( = 452 \text{ m}\)
Correct Option: A) 452 m
To find the number of sides of a polygon given the sum of its interior angles, we use the formula for the sum of interior angles of an \(n\)-sided polygon, which is \((n-2) \times 180^\circ\). We will set this formula equal to the given sum of angles and solve for \(n\).
Correct Option: C) 20
To solve this problem, we need to calculate the individual work rates of Vikas and Bablu. The work rate is the amount of job completed per day. Once we have their individual work rates, we can add them to find their combined work rate. The reciprocal of the combined work rate will give us the total number of days they take to complete the job together.
Calculate Vikas's daily work rate:
Vikas can complete the job in 15 days. So, in one day, Vikas completes:
\[ \text{Vikas's work rate} = \frac{1}{\text{Number of days Vikas takes}} = \frac{1}{15} \text{ of the job per day} \]Calculate Bablu's daily work rate:
Bablu can complete the job in 10 days. So, in one day, Bablu completes:
\[ \text{Bablu's work rate} = \frac{1}{\text{Number of days Bablu takes}} = \frac{1}{10} \text{ of the job per day} \]Calculate their combined daily work rate:
When they work together, their work rates add up:
\[ \text{Combined work rate} = \text{Vikas's work rate} + \text{Bablu's work rate} \] \[ \text{Combined work rate} = \frac{1}{15} + \frac{1}{10} \]To add these fractions, find a common denominator, which is 30:
\[ \text{Combined work rate} = \frac{2}{30} + \frac{3}{30} = \frac{2+3}{30} = \frac{5}{30} = \frac{1}{6} \text{ of the job per day} \]Calculate the number of days to complete the job together:
If they complete \( \frac{1}{6} \) of the job per day, then the total number of days to complete the entire job is the reciprocal of their combined work rate:
\[ \text{Days together} = \frac{1}{\text{Combined work rate}} = \frac{1}{\frac{1}{6}} = 6 \text{ days} \]Correct Option: B) 6 Days