To solve this problem, we need to work backward from the desired profit and discount. First, calculate the selling price required to achieve a 20% profit. Then, use the selling price and the allowed discount percentage to find the marked price.
Therefore, the merchant should mark the item at Rs 2,250.
Correct Option: A) 2,250
The question asks to identify the state where the Hornbill and Moatsu Festivals are predominantly celebrated. This requires knowledge of Indian cultural festivals and their geographical associations.
The Hornbill Festival is an annual festival celebrated from December 1st to 10th in Nagaland, showcasing the rich culture and traditions of its various tribes. The Moatsu Festival is another significant festival celebrated by the Ao tribe of Nagaland in the first week of May, after the sowing season.
A) Nagaland is the correct answer. Both the Hornbill Festival and the Moatsu Festival are prominently celebrated in Nagaland. The Hornbill Festival is often referred to as the "Festival of Festivals" and is a major tourist attraction, while Moatsu is a traditional festival of the Ao Naga tribe.
To find the fourth proportional to three given numbers, we set up a proportion where the ratio of the first two numbers is equal to the ratio of the third number to the unknown fourth proportional. We then solve for the unknown value.
Correct Option: C) 28
This problem involves setting up a system of linear equations based on the given age relationships and then solving for the present age of Y. We will define variables for the present ages of X, Y, P, and Q and translate each statement into an algebraic equation.
Let the present age of X be \(x\) years.
Let the present age of Y be \(y\) years.
Let the present age of P be \(p\) years.
Let the present age of Q be \(q\) years.
"Twice the present age of X is 9 years less than thrice the present age of Y."
\[ 2x = 3y - 9 \quad \text{(Equation 1)} \]"At present, X’s father P is twice as old as X."
\[ p = 2x \quad \text{(Equation 2)} \]"Y is 9 years younger than her sister Q."
\[ y = q - 9 \implies q = y + 9 \quad \text{(Equation 3)} \]"P is 20 years older than Q."
\[ p = q + 20 \quad \text{(Equation 4)} \]We need to find the value of \(y\).
Substitute Equation 2 into Equation 4:
\[ 2x = q + 20 \quad \text{(Equation 5)} \]Now substitute Equation 3 into Equation 5:
\[ 2x = (y + 9) + 20 \]\[ 2x = y + 29 \quad \text{(Equation 6)} \]We now have two equations involving \(x\) and \(y\):
Equation 1: \(2x = 3y - 9\)
Equation 6: \(2x = y + 29\)
Since both equations are equal to \(2x\), we can set them equal to each other:
\[ 3y - 9 = y + 29 \]Subtract \(y\) from both sides:
\[ 3y - y - 9 = 29 \]\[ 2y - 9 = 29 \]Add 9 to both sides:
\[ 2y = 29 + 9 \]\[ 2y = 38 \]Divide by 2:
\[ y = \frac{38}{2} \]\[ y = 19 \]Thus, the present age of Y is 19 years.
D) 19
The step-by-step calculation shows that the present age of Y is 19 years.
This is a syllogism problem. We need to evaluate the given statements and determine which of the conclusions logically follow. We can use Venn diagrams to visualize the relationships between the categories (flowers, petals, birds).
Analyze Statement 1: Some flowers are petals.
Analyze Statement 2: Some birds are petals.
Analyze Statement 3: No bird is a flower.
Evaluate Conclusion (I): Some petals are birds.
Evaluate Conclusion (II): Some flowers are birds.
Evaluate Conclusion (III): Some petals are flowers.
Based on our evaluation, conclusions (I) and (III) follow, while conclusion (II) does not.
Correct Option: A) Only conclusions I and III follow.
The problem requires us to transform each letter in the word "SURPRISING" based on specific rules: vowels are replaced by the next letter in the alphabet, and consonants are replaced by the preceding letter. After this transformation, we need to count how many letters appear more than once in the newly formed group.
A) Three. As determined in the step-by-step analysis, the letters R, Q, and J appear more than once in the transformed group, making a total of three distinct letters.
The question asks about the products formed when copper oxide reacts with hydrochloric acid. This is a classic acid-base reaction, specifically between a metal oxide (which is basic) and an acid. We need to identify the correct products based on the principles of chemical reactions.
Correct Option: C) CuCl₂ is formed.
To find the approximate value, we will round off each number in the equation to the nearest whole number. Then, we will apply the order of operations (BODMAS/PEMDAS) to solve the simplified equation.
The original equation is: \(13.99 - 4.02 + 19.89 \times 5.99 = ?\)
The approximate equation becomes: \(14 - 4 + 20 \times 6 = ?\)
\(20 \times 6 = 120\)
\(14 - 4 + 120\)
\(10 + 120\)
\(130\)
D) 130 — By rounding off the numbers to the nearest whole number and following the order of operations, the approximate value is \(130\).
The question asks about the location of the first oil field discovered in Independent India. This requires knowledge of India's post-independence industrial history, specifically in the energy sector.
Correct Option: A) Assam
The question asks to identify India's first UNDP Youth Climate Champion appointed in January 2022. This is a factual question related to current affairs and appointments, which requires knowledge of recent events.
Correct Option: A) Prajakta Koli became India's first UNDP Youth Climate Champion in January 2022. She is a well-known content creator and uses her platform to advocate for environmental sustainability and youth engagement.