To find the greatest prime number less than 200, we need to check the numbers just below 200, starting from 199, and determine if they are prime. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. To check if a number is prime, we can test its divisibility by prime numbers up to its square root.
To determine if 199 is prime, we need to check for divisibility by prime numbers up to \(\sqrt{199}\).
Calculate \(\sqrt{199}\): \(\sqrt{199} \approx 14.1\).
The prime numbers less than 14.1 are 2, 3, 5, 7, 11, 13.
Since 199 is not divisible by any prime number less than or equal to its square root, 199 is a prime number.
A) 199 — As determined in the step-by-step analysis, 199 is a prime number and is the greatest among the options provided, and also the greatest prime number less than 200.
The question asks to identify which of the given options is NOT a function of the Reserve Bank of India (RBI). We need to evaluate each option based on the established roles and responsibilities of the RBI.
Based on this analysis, the promotion of the development of the securities market is not a primary or exclusive function of the RBI.
D) It promotes the development of securities market. This is not a primary function of the RBI. The primary regulator and developer of the securities market in India is SEBI (Securities and Exchange Board of India).
The question asks to identify the semi-high speed train known as 'Train 18'. This requires knowledge of Indian Railways' train names and their popular aliases.
Correct Option: D) Vande Bharat Express is the semi-high speed train also known as 'Train 18'. It was designed and manufactured in India, representing a significant leap in indigenous railway technology.
The question asks to identify the Indian state associated with the folk dance form "Hurkiya Baul". This requires knowledge of Indian folk dances and their regional origins.
Hurkiya Baul is a traditional folk dance form primarily performed in the Kumaon region of Uttarakhand. It is a seasonal dance, usually performed during the paddy and maize cultivation season, often accompanied by the Hurka instrument (a small drum). The dance depicts stories and legends, often with agricultural themes.
A) Uttarakhand — Hurkiya Baul is a well-known folk dance from the Kumaon region of Uttarakhand, performed during the agricultural season.
The question asks to identify the head of the in-house committee that investigated a sexual harassment case against the then Chief Justice of India (CJI) in 2019. This is a factual question related to a significant event in the Indian judiciary.
Correct Option: D) Justice S.A. Bobde
Justice S.A. Bobde, who later became the Chief Justice of India, headed the three-judge in-house inquiry committee formed in April 2019 to probe the allegations of sexual harassment against the then CJI, Ranjan Gogoi. The committee also comprised Justice Indu Malhotra and Justice Indira Banerjee.
The question asks to identify the longest bone in the human body. This is a factual question related to human anatomy. We need to recall the names and relative sizes of major bones.
D) Femur — The femur, or thigh bone, is indeed the longest, heaviest, and strongest bone in the human body. It extends from the hip to the knee.
To calculate the profit percentage, we need to determine the total cost price (CP) and the total selling price (SP) of the wheat. The total cost price will include the purchase cost and additional expenses like transportation and storage. The total selling price will be calculated based on the selling price per kg and the total quantity in kg. Finally, the profit percentage is calculated using the formula: \[\text{Profit Percentage} = \frac{\text{Profit}}{\text{CP}} \times 100\].
Calculate the total quantity of wheat in kg:
1 quintal = 100 kg.
Total quantity = 200 quintals \(\times\) 100 kg/quintal = 20,000 kg.
Calculate the cost of purchasing the wheat:
Cost per quintal = ₹1,200.
Purchase cost = 200 quintals \(\times\) ₹1,200/quintal = ₹2,40,000.
Calculate the total cost price (CP):
Total CP = Purchase cost + Transportation and storage expenses.
Total CP = ₹2,40,000 + ₹10,000 = ₹2,50,000.
Calculate the total selling price (SP):
Selling price per kg = ₹13.
Total SP = Total quantity in kg \(\times\) Selling price per kg.
Total SP = 20,000 kg \(\times\) ₹13/kg = ₹2,60,000.
Calculate the profit:
Profit = Total SP - Total CP.
Profit = ₹2,60,000 - ₹2,50,000 = ₹10,000.
Calculate the profit percentage:
\[ \text{Profit Percentage} = \frac{\text{Profit}}{\text{CP}} \times 100 \]
\[ \text{Profit Percentage} = \frac{\text{₹}10,000}{\text{₹}2,50,000} \times 100 \]
\[ \text{Profit Percentage} = \frac{1}{25} \times 100 \]
\[ \text{Profit Percentage} = 4\% \]
Correct Option: D) 4%
The question asks to identify the position that is NOT appointed by the President of India. We need to recall the appointment procedures for each of the given options as per the Indian Constitution.
Based on these constitutional provisions, the Chief Minister of a state is the only one among the options who is not appointed by the President.
B) State's Chief Minister — The Chief Minister of a state is appointed by the Governor of the respective state, not by the President of India. The Governor is appointed by the President, but the Chief Minister's appointment falls under the Governor's purview.
The question asks about the function of a microphone. A microphone is a transducer, a device that converts energy from one form to another. We need to identify the specific energy conversion it performs.
A) sound energy into electrical energy
This correctly describes the function of a microphone. It takes sound waves (a form of sound energy) and converts them into corresponding electrical signals (electrical energy).
The descending order of \( \frac{2}{5} \), \( \frac{1}{3} \), and \( \frac{3}{7} \) is:
\( \frac{1}{3} \), \( \frac{2}{5} \),\( \frac{3}{7} \)
\( \frac{3}{7} \), \( \frac{1}{3} \), \( \frac{2}{5} \)
\( \frac{2}{5} \), \( \frac{1}{3} \), \( \frac{3}{7} \)
\( \frac{3}{7} \), \( \frac{2}{5} \), \( \frac{1}{3} \)
To arrange fractions in descending order, we need to compare their values. This can be done by converting them to decimals or by finding a common denominator (LCM) and then comparing their numerators.
Identify the fractions: The given fractions are \( \frac{2}{5} \), \( \frac{1}{3} \), and \( \frac{3}{7} \).
Method 1: Convert to decimals.
Comparing the decimal values: \( 0.428 > 0.4 > 0.333 \).
So, the descending order is \( \frac{3}{7} \), \( \frac{2}{5} \), \( \frac{1}{3} \).
Method 2: Find a common denominator.
Now, compare the numerators: \( 45 > 42 > 35 \).
Therefore, the fractions in descending order are \( \frac{45}{105} \), \( \frac{42}{105} \), \( \frac{35}{105} \).
Which corresponds to \( \frac{3}{7} \), \( \frac{2}{5} \), \( \frac{1}{3} \).
D) \( \frac{3}{7} \), \( \frac{2}{5} \), \( \frac{1}{3} \) is the correct descending order as determined by both methods.