The question asks to identify the Union Territory where the Tarpa festival is celebrated. This requires knowledge of the cultural festivals associated with various Indian Union Territories.
Correct Option: C) Dadra and Nagar Haveli
The question asks to identify the period in Indian history that is often referred to as its "Golden Age." This requires knowledge of the major historical periods and their defining characteristics, particularly in terms of cultural, scientific, and administrative achievements.
Correct Option: D) Gupta period. The Gupta period is widely regarded as the "Golden Age of India" due to significant achievements in science, mathematics (e.g., the invention of the decimal system and the concept of zero), astronomy, literature (e.g., Kalidasa's works), art, architecture, and philosophy. It was a period of great prosperity, peace, and cultural flourishing.
Select the number from among the given options that can replace the question mark (?) in the given table.
| 5 | 8 | 15 |
| 6 | 11 | ? |
| 35 | 96 | 210 |
The question asks for the year Mahatma Gandhi organized a satyagraha to support the peasants of the Kheda district. This requires knowledge of the timeline of Gandhi's early satyagraha movements in India.
D) 1918 — The Kheda Satyagraha, organized by Mahatma Gandhi to support the peasants of the Kheda district, took place in 1918.
The question asks to identify the incorrect statement about NITI Aayog. We need to evaluate each option based on factual knowledge about NITI Aayog's establishment, full form, and functions.
By comparing these facts, we can identify the incorrect statement.
Correct Option: C) It was established on 1 January 2016.
NITI Aayog was established on 1 January 2015, not 1 January 2016. It replaced the erstwhile Planning Commission.
The question asks to identify the odd one out from a given list of food items. This type of question tests general knowledge, specifically about the classification of plants or food groups.
B) Corn — Corn is a cereal grain, whereas green gram, pea, and kidney beans are all legumes.
To find the cost price when the selling price and profit percentage are given, we can use the formula relating selling price, cost price, and profit percentage. The selling price is the cost price plus the profit. Profit is calculated as a percentage of the cost price.
Let the Cost Price (CP) of the toy car be \( \text{CP} \).
The Selling Price (SP) of the toy car is given as ₹540.
The profit made by the shopkeeper is 20%.
The formula for Selling Price when there is a profit is:
\[ \text{SP} = \text{CP} + (\text{Profit Percentage} \times \text{CP}) \]Alternatively, this can be written as:
\[ \text{SP} = \text{CP} \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]Substitute the given values into the formula:
\[ 540 = \text{CP} \left(1 + \frac{20}{100}\right) \]Simplify the expression inside the parenthesis:
\[ 540 = \text{CP} \left(1 + 0.20\right) \]\[ 540 = \text{CP} \left(1.20\right) \]Now, solve for CP:
\[ \text{CP} = \frac{540}{1.20} \]Perform the division:
\[ \text{CP} = \frac{54000}{120} \]\[ \text{CP} = \frac{5400}{12} \]\[ \text{CP} = 450 \]So, the cost price of the toy car is ₹450.
Correct Option: C) ₹450
The problem asks us to find the original price of an article before Goods and Services Tax (GST) was added. We are given the final price (including GST) and the GST percentage. We can set up an equation where the original price plus the GST amount (calculated on the original price) equals the final price.
Let the original price of the article (before GST) be \(P\).
The GST rate is 12%. The amount of GST added will be 12% of the original price.
\[ \text{GST Amount} = 12\% \times P = \frac{12}{100} \times P = 0.12P \]The price of the article including GST is the original price plus the GST amount.
\[ \text{Price including GST} = P + \text{GST Amount} \]\[ \text{Price including GST} = P + 0.12P \]\[ \text{Price including GST} = (1 + 0.12)P \]\[ \text{Price including GST} = 1.12P \]We are given that the price of the article including GST is ₹784.
\[ 1.12P = 784 \]To find the original price \(P\), divide the price including GST by 1.12.
\[ P = \frac{784}{1.12} \]To simplify the division, we can multiply the numerator and denominator by 100 to remove the decimal.
\[ P = \frac{784 \times 100}{1.12 \times 100} \]\[ P = \frac{78400}{112} \]Now, perform the division:
\[ P = 700 \]So, the price of the article before GST was added was ₹700.
Correct Option: A) ₹700
This problem requires us to substitute the given new meanings for the mathematical operators into each equation and then evaluate them to find which equation holds true. We will apply the BODMAS/PEMDAS rule for order of operations.
First, let's list the given operator changes:
Now, we will evaluate each option by substituting the new operators and performing the calculations.
Substitute the new operators:
\[ 5 + 12 \div 4 \times 3 - 8 \]Following BODMAS/PEMDAS:
So, \(5 + 12 \div 4 \times 3 - 8 = 6\). This equation is correct.
Substitute the new operators:
\[ 6 + 8 \div 6 \times 2 - 9 \]Following BODMAS/PEMDAS:
Since \(-\frac{1}{3} \neq 4\), this option is incorrect.
This is the same expression as in Option A. As calculated above, the result is 6.
\[ 5 + 12 \div 4 \times 3 - 8 = 6 \]Since \(6 \neq 5\), this option is incorrect.
This is the same expression as in Option B. As calculated above, the result is \(-\frac{1}{3}\).
\[ 6 + 8 \div 6 \times 2 - 9 = -\frac{1}{3} \]Since \(-\frac{1}{3} \neq 8\), this option is incorrect.
Correct Option: A) The equation \(5 \div 12 \times 4 – 3 + 8 = 6\) becomes \(5 + 12 \div 4 \times 3 - 8 = 6\) after substituting the operators. Evaluating this gives \(5 + 3 \times 3 - 8 = 5 + 9 - 8 = 14 - 8 = 6\), which is correct.
The question asks to identify the Viceroy of British India at the specific time of India's independence in 1947. This requires knowledge of the key figures in British Indian administration during the final years of colonial rule.
Correct Option: B) Lord Mountbatten was the last Viceroy of British India and played a crucial role in the process of India's independence and partition in 1947. He served as Viceroy from March 1947 to August 1947, and then as the first Governor-General of independent India until June 1948.