The question asks about the inauguration of the first corridor of the Delhi Metro. This is a factual question related to Indian infrastructure and political history. To answer this, one needs to recall the key political figures involved in major infrastructure projects during the early 2000s.
Correct Option: A) Atal Bihari Vajpayee was the Prime Minister of India when the first corridor of the Delhi Metro was inaugurated on December 25, 2002. He performed the inauguration ceremony.
The question asks to identify the first woman of Indian descent to travel to space. This is a factual recall question related to space exploration and notable personalities.
Correct Option: B) Kalpana Chawla
The question asks about the premium rates for annual commercial/horticulture crops under the Pradhan Mantri Fasal Bima Yojana (PMFBY). This scheme specifies different premium percentages for various crop categories. We need to recall the specific rate for annual commercial/horticulture crops.
D) 5 per cent — As per the guidelines of the Pradhan Mantri Fasal Bima Yojana (PMFBY), the premium payable by farmers for annual commercial/horticulture crops is 5% of the sum insured or actuarial rate, whichever is less.
To find the ratio of the surface areas of the original and inflated balloons, we need to use the formula for the surface area of a sphere. We will calculate the surface area for both radii and then find their ratio.
Correct Option: B) 1 : 4
The question asks for the general term scientists use to describe everything in the universe that is made of material. This is a fundamental concept in chemistry and physics.
Correct Option: B) matter
In science, matter is defined as anything that has mass and occupies space (i.e., has volume). This definition covers everything from a tiny atom to a giant star, and includes all the different states it can exist in (solid, liquid, gas, plasma, etc.). Therefore, everything in the universe made up of material is called matter.
Select the Venn diagram that best represents the relationship between
Musical Instruments, Drums and Flute
To solve this question, we need to identify the correct Venn diagram that represents the relationship between Musical Instruments, Drums, and Flute. Drums and Flute are both types of Musical Instruments, but they are distinct from each other.
Correct Option: C) The diagram shows two smaller circles (Drums and Flute) inside a larger circle (Musical Instruments), accurately representing the relationship.
Simplify.
\(\frac{(542+321)^2-(542-321)^2}{542\times321}\)
The problem asks us to simplify a given algebraic expression. This can be done by recognizing a common algebraic identity, specifically the difference of squares identity, or by expanding the terms directly. Using the identity will be more efficient.
Let \(a = 542\) and \(b = 321\).
The numerator is \((a+b)^2 - (a-b)^2\).
Expanding this:
\[ (a+b)^2 - (a-b)^2 = (a^2 + 2ab + b^2) - (a^2 - 2ab + b^2) \]\[ = a^2 + 2ab + b^2 - a^2 + 2ab - b^2 \]\[ = (a^2 - a^2) + (b^2 - b^2) + (2ab + 2ab) \]\[ = 0 + 0 + 4ab \]\[ = 4ab \]The original expression is:
\[ \frac{(542+321)^2-(542-321)^2}{542\times321} \]\[ = \frac{4ab}{ab} \]Since \(a = 542\) and \(b = 321\), and neither is zero, we can cancel \(ab\) from the numerator and the denominator.
\[ \frac{4ab}{ab} = 4 \]D) 4 is the correct answer because applying the algebraic identity \((a+b)^2 - (a-b)^2 = 4ab\) simplifies the given expression to \(4ab / ab = 4\).
The question asks to identify the specific Government of India scheme launched in 1973 to conserve tigers. This requires knowledge of major environmental conservation initiatives in India.
Correct Option: C) Project Tiger. Project Tiger was launched in 1973 by the Government of India to protect the Bengal tiger. It is one of the most successful wildlife conservation ventures in the world, aiming to maintain a viable tiger population in their natural habitats.
We need to calculate the profit earned by the shop owner. First, we'll determine the cost price (CP) of the sofa set. We are given the selling price (SP) and information about the markup percentage and discount percentage. We can work backward from the selling price to find the marked price (MP) and then the cost price.
The selling price is obtained after a 10% discount on the marked price. This means the selling price is 90% of the marked price.
\[ \text{SP} = \text{MP} - (0.10 \times \text{MP}) \]\[ \text{SP} = 0.90 \times \text{MP} \]\[ \text{₹}23,400 = 0.90 \times \text{MP} \]\[ \text{MP} = \frac{\text{₹}23,400}{0.90} \]\[ \text{MP} = \text{₹}26,000 \]The marked price is 30% higher than the cost price. This means the marked price is 130% of the cost price.
\[ \text{MP} = \text{CP} + (0.30 \times \text{CP}) \]\[ \text{MP} = 1.30 \times \text{CP} \]\[ \text{₹}26,000 = 1.30 \times \text{CP} \]\[ \text{CP} = \frac{\text{₹}26,000}{1.30} \]\[ \text{CP} = \text{₹}20,000 \]Profit is the difference between the Selling Price and the Cost Price.
\[ \text{Profit} = \text{SP} - \text{CP} \]\[ \text{Profit} = \text{₹}23,400 - \text{₹}20,000 \]\[ \text{Profit} = \text{₹}3,400 \]Correct Option: A) ₹3,400
The question asks for the full form of the acronym OCR. This is a common term in computer science and information technology, particularly related to document processing and data entry.
Correct Option: D) Optical Character Recognition
OCR, or Optical Character Recognition, is a technology that enables the conversion of images of text into machine-encoded text. This means that text from scanned documents, photographs, or PDFs can be recognized and converted into a format that can be edited, searched, and processed by computers. It is widely used for data entry, digitizing historical documents, and in various automation processes.
