The problem involves finding two positive numbers based on their product and a relationship between them. We will use algebraic equations to represent the given conditions and solve for the numbers, then calculate their sum.
B) 125 — The two numbers are 25 and 100, and their sum is \(25 + 100 = 125\).
The question asks about the field for which the Shanti Swaroop Bhatnagar award is given. This requires knowledge of prominent Indian awards and their respective categories.
The Shanti Swaroop Bhatnagar Prize for Science and Technology is a prestigious science award in India given annually by the Council of Scientific and Industrial Research (CSIR) for notable and outstanding research, applied or fundamental, in various branches of science and technology.
Therefore, the award is given for exemplary work done in the field of Science and Technology.
Correct Option: C) Science and Technology
We need to find the gain percentage if no discount is allowed. First, we will calculate the selling price after a 10% discount on the marked price. Then, using the given gain percentage, we can find the cost price. Finally, if no discount is allowed, the selling price will be equal to the marked price, and we can calculate the new gain percentage based on the cost price and marked price.
Calculate the Selling Price (SP) after discount:
Given Marked Price (MP) = Rs. 1920
Discount = 10%
Selling Price (SP) = \(\text{MP} - (\text{Discount} \% \text{ of MP})\)
\[ \text{SP} = 1920 - \left( \frac{10}{100} \times 1920 \right) \]
\[ \text{SP} = 1920 - 192 \]
\[ \text{SP} = \text{Rs. } 1728 \]
Calculate the Cost Price (CP):
Given Gain = 8%
We know that \[\text{SP} = \text{CP} \times \left(1 + \frac{\text{Gain}\%}{100}\right)\]
So, \[\text{CP} = \frac{\text{SP}}{1 + \frac{\text{Gain}\%}{100}}\]
\[ \text{CP} = \frac{1728}{1 + \frac{8}{100}} \]
\[ \text{CP} = \frac{1728}{\frac{108}{100}} \]
\[ \text{CP} = \frac{1728 \times 100}{108} \]
\[ \text{CP} = 16 \times 100 \]
\[ \text{CP} = \text{Rs. } 1600 \]
Calculate the new Gain Percent if no discount is allowed:
If no discount is allowed, the Selling Price (new SP) will be equal to the Marked Price (MP).
New SP = MP = Rs. 1920
Cost Price (CP) = Rs. 1600
Gain = New SP - CP
\[ \text{Gain} = 1920 - 1600 \]
\[ \text{Gain} = \text{Rs. } 320 \]
Gain Percent = \(\frac{\text{Gain}}{\text{CP}} \times 100\)
\[ \text{Gain Percent} = \frac{320}{1600} \times 100 \]
\[ \text{Gain Percent} = \frac{32}{160} \times 100 \]
\[ \text{Gain Percent} = \frac{1}{5} \times 100 \]
\[ \text{Gain Percent} = 20\% \]
Correct Option: B) 20%
The question asks to identify the part of the Indian Constitution that addresses the state's responsibility towards international peace and security. This requires knowledge of the different parts of the Constitution and their respective objectives.
Correct Option: B) Directive Principles — Article 51, located in Part IV (Directive Principles of State Policy) of the Indian Constitution, explicitly mandates the State to promote international peace and security, maintain just and honourable relations between nations, foster respect for international law, and encourage settlement of international disputes by arbitration.
The question asks to identify the author of a famous quote about Mahatma Gandhi. This requires knowledge of historical quotes and their attribution.
Correct Option: B) Albert Einstein
The quote, "Generations to come, it may well be, will scarce believe that such a one as this ever in flesh and blood walked upon this earth," was indeed said by the renowned physicist Albert Einstein about Mahatma Gandhi. Einstein held Gandhi in high regard and expressed his admiration for Gandhi's philosophy of non-violence and his life's work.
The question asks to identify the Indian state that shares a border with Bangladesh on three sides. This requires knowledge of the geographical boundaries of Indian states, particularly those in the Northeast, with neighboring countries.
C) Tripura is an Indian state that is geographically situated in such a way that it is surrounded by Bangladesh on its north, west, and south sides, making it bounded by Bangladesh on three sides.
Prithviraj Chauhan was defeated in the 2nd battle of Tarain by:
The question asks about the victor over Prithviraj Chauhan in the Second Battle of Tarain. This is a direct historical fact from medieval Indian history.
Correct Option: C) Muhammad Ghori
The question asks to identify the winner of the Australian Open women's singles championship in January 2013. This requires knowledge of major tennis tournament results from that specific year.
Correct Option: A) Victoria Azarenka won the Australian Open women's singles championship in January 2013, defeating Li Na in the final.
The question asks to identify the state where the Jaintia tribe is primarily found. This requires knowledge of the geographical distribution of major tribes in India, particularly in the Northeastern region.
Correct Option: A) Meghalaya is the state where the Jaintia tribe is primarily found. They are one of the major indigenous communities of Meghalaya, residing mainly in the Jaintia Hills district.
The question asks to identify the first Indian to be elected to the British House of Commons. This is a factual question related to Indian history and political representation during the British Raj. Recalling key figures and their achievements in this period is crucial.
A) Dadabhai Naoroji was indeed the first Indian to be elected to the British House of Commons. He was elected in 1892 from Central Finsbury as a Liberal Party candidate, earning him the title "Grand Old Man of India."