The question asks to identify the Indian state with the highest production from viticulture (grape cultivation) as of 2021. This requires knowledge of agricultural production statistics in India, specifically regarding grape farming.
C) Maharashtra has consistently been the leading state in India for viticulture production. Nashik, in particular, is often referred to as the "Wine Capital of India" due due to its extensive grape vineyards and numerous wineries. As of 2021, Maharashtra accounted for a significant majority of India's total grape production.
The question asks to identify the dance form that is NOT associated with the state of Rajasthan. To answer this, we need to know the origin or traditional region of each dance form listed in the options.
Correct Option: A) Lavani is a folk dance form primarily associated with the state of Maharashtra, not Rajasthan.
The problem asks us to identify the number that is different from the rest among a given set of four numbers. This type of problem usually involves finding a common property or pattern shared by three of the numbers, while the fourth number does not share that property.
Based on the analysis, 84, 63, and 49 share the property of being multiples of 7, while 50 does not.
D) 50 — This number is different from the others because it is not a multiple of 7, whereas 84, 63, and 49 are all multiples of 7.
To find the cost price when the selling price and loss percentage are given, we can use the formula relating cost price, selling price, and loss percentage. Alternatively, we can assume the cost price to be 100% and calculate the selling price as a percentage of the cost price, then find the actual cost price.
When there is a loss, the Selling Price is less than the Cost Price. The loss is calculated as a percentage of the Cost Price.
If the Cost Price (\(\text{CP}\)) is considered 100%, then a 10% loss means the Selling Price is \(100\% - 10\% = 90\%\) of the Cost Price.
So, \[\text{SP} = \text{CP} - (\text{Loss}\% \text{ of CP})\]
Or, \[\text{SP} = \text{CP} \times \left(1 - \frac{\text{Loss}\%}{100}\right)\]
Substituting the given values:
\[639 = \text{CP} \times \left(1 - \frac{10}{100}\right)\]
\[639 = \text{CP} \times \left(1 - 0.10\right)\]
\[639 = \text{CP} \times 0.90\]
To find \(\text{CP}\), divide the Selling Price by 0.90:
\[\text{CP} = \frac{639}{0.90}\]
\[\text{CP} = \frac{639}{\frac{9}{10}}\]
\[\text{CP} = \frac{639 \times 10}{9}\]
\[\text{CP} = \frac{6390}{9}\]
Now, perform the division:
\[\text{CP} = 710\]
The cost price of the chair is ₹710.
D) 710 is the correct cost price of the chair, as calculated by accounting for the 10% loss on the selling price of ₹639.
The question asks for the definition of contour ploughing. Contour ploughing is a soil conservation technique used in agriculture. Understanding its purpose and method is key to identifying the correct option.
D) Ploughing on sloping land along the contour lines. This option correctly identifies both the type of land (sloping) and the method (along contour lines) that defines contour ploughing. This technique is specifically designed to reduce soil erosion and conserve water on inclined terrains.
The question asks to identify the female weightlifter from Manipur who received the Rajiv Gandhi Khel Ratna award in 2018. This requires knowledge of prominent Indian sportspersons and their awards.
Correct Option: B) Saikhom Mirabai Chanu
Saikhom Mirabai Chanu is an Indian weightlifter from Manipur. She won the silver medal at the 2020 Tokyo Olympics in the Women's 49 kg category. She was awarded the Rajiv Gandhi Khel Ratna (now Major Dhyan Chand Khel Ratna) in 2018 for her outstanding achievements in weightlifting.
To find the percentage loss, we first need to calculate the actual loss by subtracting the selling price from the cost price. Then, we divide the loss by the cost price and multiply by 100 to get the percentage loss.
Since the selling price is less than the cost price, there is a loss.
\[ \text{Loss} = \text{CP} - \text{SP} \\ \text{Loss} = \text{₹}1,900 - \text{₹}1,862 \\ \text{Loss} = \text{₹}38 \]The formula for percentage loss is:
\[ \text{Percentage Loss} = \left( \frac{\text{Loss}}{\text{CP}} \right) \times 100\% \]\[ \text{Percentage Loss} = \left( \frac{38}{1900} \right) \times 100\% \]\[ \text{Percentage Loss} = \left( \frac{38}{19} \right) \times \frac{100}{100}\% \]\[ \text{Percentage Loss} = 2 \times 1\% \]\[ \text{Percentage Loss} = 2\% \]Correct Option: D) 2%
The question asks about the endocrine gland or hormone responsible for dwarfism in humans. Dwarfism is typically caused by a deficiency in growth hormone, which is secreted by a specific gland.
Correct Option: C) Pituitary — The pituitary gland secretes Growth Hormone (GH). A deficiency of GH during childhood results in dwarfism.
To find the Least Common Multiple (L.C.M.) of two consecutive positive integers, we need to understand their relationship, particularly their greatest common divisor (G.C.D.). Consecutive integers are always coprime, meaning their G.C.D. is 1. The L.C.M. of two numbers can be found using the formula: \[\text{L.C.M.}(a, b) = \frac{a \times b}{\text{G.C.D.}(a, b)}\].
Correct Option: B) The L.C.M. of any two consecutive positive integers \(x\) and \(x+1\) is their product, \(x(x+1)\), because their G.C.D. is 1.
To solve this division problem, we need to divide a decimal number by a whole number. The key is to handle the decimal point correctly and simplify the division.
The expression \(80.6 \div 4030\) can be written as:
\[ \frac{80.6}{4030} \]To remove the decimal point from the numerator, multiply both the numerator and the denominator by 10 (since there is one digit after the decimal point in 80.6):
\[ \frac{80.6 \times 10}{4030 \times 10} = \frac{806}{40300} \]Now, we need to divide 806 by 40300. We can observe that 806 is a factor of 4030. Specifically, \(4030 = 5 \times 806\). So, \(40300 = 50 \times 806\).
Therefore, the fraction simplifies to:
\[ \frac{806}{40300} = \frac{1}{50} \]To convert \(\frac{1}{50}\) to a decimal, divide 1 by 50:
\[ \frac{1}{50} = 0.02 \]C) 0.02 is the correct answer. The division of 80.6 by 4030 results in 0.02.