This is a logical reasoning problem involving matching people to their preferences. We need to deduce who likes hockey by systematically using the given clues and eliminating possibilities.
List the Friends and Games:
Friends: Sohan, Mohan, Rohan, Ali, Salim
Games: Cricket, Kho-Kho, Badminton, Football, Hockey
Process the Clues:
Update the Preferences Table:
| Friend | Game |
|---|---|
| Sohan | Football |
| Mohan | Cricket |
| Ali | Badminton |
| Rohan | ? |
| Salim | ? |
Identify Remaining Friends and Games:
Remaining Friends: Rohan, Salim
Remaining Games: Kho-Kho, Hockey
Consider the remaining possibilities:
Since Rohan and Salim are the only friends left, and Kho-Kho and Hockey are the only games left, one of them must like Kho-Kho and the other must like Hockey. We cannot definitively assign Hockey to either Rohan or Salim based on the given information. Therefore, Rohan could like Hockey, or Salim could like Hockey.
D) Either Rohan or Salim — Based on the deductions, Rohan and Salim are the only two people left, and Kho-Kho and Hockey are the only two games left. We cannot determine definitively which person likes which game. Thus, either Rohan or Salim likes hockey.
The question asks to identify the name of the first mechanical computer designed by Charles Babbage. This is a direct knowledge-based question about the history of computing.
Correct Option: B) Analytical Engine. Charles Babbage designed the Analytical Engine in the 19th century. It was a conceptual design for a general-purpose mechanical computer that incorporated many features of modern computers, such as an arithmetic logic unit, control flow in the form of conditional branching and loops, and integrated memory. Although it was never fully built in his lifetime, its design principles were foundational to the development of electronic computers.
If 7 \( \frac{8}{9} \) is converted into an improper fraction and its numerator is 70 + x, then the value of x is:
To solve this problem, we need to convert the given mixed fraction into an improper fraction. Then, we will equate the numerator of this improper fraction to the given expression \(70 + x\) and solve for \(x\).
The given mixed fraction is \(7 \frac{8}{9}\). A mixed fraction \(A \frac{B}{C}\) is converted to an improper fraction using the formula:
\[ \frac{(A \times C) + B}{C} \]Applying this formula to \(7 \frac{8}{9}\):
\[ \frac{(7 \times 9) + 8}{9} = \frac{63 + 8}{9} = \frac{71}{9} \]From the improper fraction \(\frac{71}{9}\), the numerator is \(71\).
The problem states that the numerator is \(70 + x\). So, we set up the equation:
\[ 71 = 70 + x \]To find the value of \(x\), subtract \(70\) from both sides of the equation:
\[ x = 71 - 70 \]\[ x = 1 \]
Thus, the value of \(x\) is \(1\).
Correct Option: A) 1
To find the new profit percentage, we need to determine the initial cost price (CP), initial selling price (SP), and the number of units sold. Then, we can calculate the new selling price and the new number of units sold to find the new total revenue and new total cost, which will lead to the new profit percentage.
Assume Initial Values:
Let the initial Cost Price (CP) of one bicycle be \(₹100\).
Let the initial number of bicycles sold be \(100\).
Calculate Initial Selling Price (SP):
The manufacturer was getting a profit of \(140\%\). Profit percentage is calculated on CP.
\[ \text{Profit} = \frac{\text{Profit Percentage}}{100} \times \text{CP} \]So, initial profit per bicycle is:
\[ \text{Profit} = \frac{140}{100} \times 100 = ₹140 \]Initial Selling Price (SP) per bicycle:
\[ \text{SP} = \text{CP} + \text{Profit} = 100 + 140 = ₹240 \]Calculate New Selling Price (New SP):
The selling price was reduced by \(50\%\).
\[ \text{New SP} = \text{Initial SP} - (50\% \text{ of Initial SP}) \]New SP per bicycle:
\[ \text{New SP} = 240 - \left(\frac{50}{100} \times 240\right) = 240 - 120 = ₹120 \]Calculate New Number of Bicycles Sold (New Quantity):
The number of bicycles sold increased by \(700\%\).
\[ \text{New Quantity} = \text{Initial Quantity} + (700\% \text{ of Initial Quantity}) \]New quantity sold:
\[ \text{New Quantity} = 100 + \left(\frac{700}{100} \times 100\right) = 100 + 700 = 800 \]Calculate Total Initial Cost and Total Initial Revenue:
Total Initial Cost = Initial CP per bicycle \(\times\) Initial Quantity
\[ \text{Total Initial Cost} = 100 \times 100 = ₹10,000 \]Total Initial Revenue = Initial SP per bicycle \(\times\) Initial Quantity
\[ \text{Total Initial Revenue} = 240 \times 100 = ₹24,000 \]Calculate Total New Cost and Total New Revenue:
The cost price per bicycle remains the same.
Total New Cost = CP per bicycle \(\times\) New Quantity
\[ \text{Total New Cost} = 100 \times 800 = ₹80,000 \]Total New Revenue = New SP per bicycle \(\times\) New Quantity
\[ \text{Total New Revenue} = 120 \times 800 = ₹96,000 \]Calculate New Profit:
New Profit = Total New Revenue - Total New Cost
\[ \text{New Profit} = 96,000 - 80,000 = ₹16,000 \]Calculate New Profit Percentage:
New Profit Percentage = \[\frac{\text{New Profit}}{\text{Total New Cost}} \times 100\]
\[ \text{New Profit Percentage} = \frac{16,000}{80,000} \times 100 = \frac{16}{80} \times 100 = \frac{1}{5} \times 100 = 20\% \]D) 20%
The problem presents a series combining letters and numbers. We need to identify the pattern for both the alphabetical and numerical parts to find the missing term.
Correct Option: B) D343
The question asks to identify the organization that provides an objective, scientific view of climate change, including its natural, political, and economic impacts. This requires knowledge of the mandates and primary functions of various international environmental and climate-related organizations.
B) Intergovernmental Panel on Climate Change (IPCC) is the leading international body for assessing climate change. It was established in 1988 by the United Nations Environment Programme (UNEP) and the World Meteorological Organization (WMO) to provide regular scientific assessments on climate change, its implications and potential future risks, as well as to put forward adaptation and mitigation options. Its reports are comprehensive, objective, and policy-relevant, covering the natural, political, and economic aspects of climate change.
The problem presents an alphabetical series, and we need to find the missing letter. We should analyze the pattern by looking at the position of each letter in the alphabet.
C) P is the correct answer because it is the 16th letter of the alphabet, following the pattern of square numbers (\(1^2, 2^2, 3^2, 4^2, 5^2\)).
This question is based on logical reasoning involving number selection, squares, cubes, and inequalities. Four persons, A, B, C, and D, must each select a different number from 1 to 10. The cube of A's number and the square of C's number must also fall within the permitted range. Additionally, B's number is one greater than C's number, and D has selected the smallest number among the four. We need to determine the number chosen by D.
The cube of A's number must be within the range 1 to 10.
Check the smallest positive integers:
Therefore, A can choose only 1 or 2.
The square of C's number must also be within the range 1 to 10.
Therefore, C can choose 1, 2, or 3.
B's number is exactly one greater than C's number.
\(B=C+1\)
The possible combinations are:
D must choose a number smaller than the numbers chosen by A, B, and C.
Since A can choose only 1 or 2, A cannot choose 1. If A chose 1, no smaller number would be available for D within the permitted range.
Therefore, A must choose 2.
Since D must choose a number smaller than 2, the only possible number is 1.
Hence:
Since A has chosen 2 and D has chosen 1, C cannot choose either of these numbers.
From C's possible values of 1, 2, and 3, only 3 remains.
Therefore:
The complete assignment is:
All the given conditions are satisfied. Therefore, D has chosen 1.
Correct Option: D) 1
A can choose only 1 or 2 because the cube of the chosen number must not exceed 10. Since D has chosen the smallest number, A cannot choose 1. Therefore, A chooses 2 and D must choose 1. The remaining numbers are C = 3 and B = 4, satisfying all the conditions. Hence, option D is correct.
The question asks to identify a specific robot developed by DRDO (Defence Research and Development Organisation) of India, which is designed for tasks involving hazardous objects like locating, handling, and destroying them. This requires knowledge of prominent DRDO projects in robotics.
D) Daksh is an electrically powered, remotely operated robot developed by DRDO for locating, handling, and destroying hazardous objects, especially improvised explosive devices (IEDs). It is used by the Indian Army and other security forces for bomb disposal operations.
The question asks to identify the person who initially drafted the 'Quit India' resolution in 1942. This requires knowledge of the key figures involved in the Indian National Congress and their roles during the Quit India Movement.
A) Mahatma Gandhi — Mahatma Gandhi was the principal leader who conceived and drafted the 'Quit India' resolution. He presented the resolution to the Congress Working Committee, which then approved it for the AICC session.