The question asks for the establishment year of the National Bank for Agriculture and Rural Development (NABARD). This is a factual question requiring knowledge of key financial institutions and their founding dates in India.
Correct Option: B) The National Bank for Agriculture and Rural Development (NABARD) was established on July 12, 1982, to promote sustainable and equitable agriculture and rural prosperity through effective credit support, related services, institutional development, and other innovative initiatives.
The diameter of a bullock cart wheel is \( \frac{14}{11} \) m. This wheel makes ten complete revolutions per minute. What will be the speed of the cart in km/h?
To find the speed of the cart, we first need to calculate the distance covered by the wheel in one revolution. This is equal to the circumference of the wheel. Then, we multiply this distance by the number of revolutions per minute to get the distance covered per minute. Finally, we convert this speed from meters per minute to kilometers per hour.
The diameter of the wheel \(d = \frac{14}{11}\) m.
The circumference \(C\) of a circle is given by the formula \(C = \pi d\).
\[ C = \pi d = \frac{22}{7} \times \frac{14}{11} \]\[ C = \frac{22 \times 14}{7 \times 11} = \frac{2 \times 14}{7} = 2 \times 2 = 4 \text{ m} \]The wheel makes 10 complete revolutions per minute.
Distance covered in one minute = Circumference \(\times\) Number of revolutions per minute
\[ \text{Distance per minute} = 4 \text{ m/revolution} \times 10 \text{ revolutions/minute} = 40 \text{ m/minute} \]We have the speed as 40 meters per minute. We need to convert it to kilometers per hour.
1 km = 1000 m, so 1 m = \(\frac{1}{1000}\) km.
1 hour = 60 minutes, so 1 minute = \(\frac{1}{60}\) hour.
\[ \text{Speed} = 40 \frac{\text{m}}{\text{minute}} \]\[ \text{Speed} = 40 \times \frac{1}{1000} \frac{\text{km}}{\text{minute}} \]\[ \text{Speed} = 40 \times \frac{1}{1000} \times \frac{1}{\frac{1}{60}} \frac{\text{km}}{\text{hour}} \]\[ \text{Speed} = 40 \times \frac{1}{1000} \times 60 \frac{\text{km}}{\text{hour}} \]\[ \text{Speed} = \frac{40 \times 60}{1000} = \frac{2400}{1000} = 2.4 \text{ km/h} \]Correct Option: B) 2.4
Which of the following is the minimum radius (> 1) of a circle whose circumference is an integer?
\(\frac{6}{\pi}\)
2
\(\frac{3}{\pi}\)
\(\frac{4}{\pi}\)
The problem asks for the minimum radius (greater than 1) of a circle whose circumference is an integer. We will use the formula for the circumference of a circle and the given conditions to find the radius.
D) The radius \(r = \frac{4}{\pi}\) gives a circumference \(C = 2\pi \left(\frac{4}{\pi}\right) = 8\), which is an integer. Also, \(r = \frac{4}{\pi} \approx 1.2732\), which is greater than 1. Among the options that satisfy both conditions, this is the minimum radius.
The question asks to identify which of the given options is NOT one of the four Grand Slam tournaments in tennis. This requires knowledge of the major tournaments in professional tennis.
Correct Option: D) Canadian Open is not one of the four Grand Slam tournaments.
Which of the following statements is NOT true regarding GST?
July 1st is celebrated as GST day by the Central Board of Excise and Customs.
India has chosen Canada's structure of dual GST.
GST cannot be collected by the state government.
France is the first country to introduce GST.
The question asks to identify the statement that is NOT true regarding the Goods and Services Tax (GST) in India. We need to evaluate each option based on general knowledge about GST.
C) GST cannot be collected by the state government.
This statement is incorrect. In India's dual GST model, the state government collects State GST (SGST) on intra-state supplies of goods and services. Therefore, state governments are integral to the collection mechanism of GST.
The number of illiterate persons in a country decreased from 150 lakhs to 100 lakhs in 10 years. What is the percentage of decrease?
33
33 \( \frac{1}{3} \)
22 \( \frac{1}{3} \)
33 \( \frac{2}{3} \)
To find the percentage of decrease, we first calculate the actual decrease in the number of illiterate persons. Then, we divide this decrease by the original number of illiterate persons and multiply by 100.
Correct Option: B) 33 \( \frac{1}{3} \)
The question asks to identify the INCORRECT match among the given National Parks/Wildlife Sanctuaries and their famous animal inhabitants. We need to evaluate each option based on general knowledge about Indian wildlife and protected areas.
Based on the evaluation, the match for Kanha National Park is the incorrect one.
Correct Option: C) Kanha national park – Birds
To find the smallest natural number \(N\) such that the product \(288 \times N\) is a perfect cube, we first need to express 288 as a product of its prime factors. A number is a perfect cube if, in its prime factorization, the exponent of every prime factor is a multiple of 3. We will then determine what factors are missing from 288 to make it a perfect cube and find the smallest \(N\) that supplies these missing factors.
Correct Option: D) 6
The question asks to identify the statement that is NOT true regarding the President of India. We need to evaluate each option based on the powers and constitutional position of the President.
Correct Option: A) He cannot declare national emergency.
This statement is incorrect because the President of India possesses the power to declare a National Emergency under Article 352 of the Indian Constitution, on the written recommendation of the Union Cabinet.
The question asks to identify the incorrect pairing of a disease with its causative organism. We need to evaluate each option to determine if the disease is correctly matched with its pathogen.
Based on the analysis, Option A presents an incorrect match between the disease and its causative organism.
Correct Option: A) Cholera is caused by the bacterium Vibrio cholerae, not the influenza virus. Influenza is a separate disease caused by the influenza virus. Thus, this is the incorrect pairing.