The question asks about the approximate number of railway stations connected by the Indian Railways network. This is a factual question requiring knowledge of the Indian Railways' infrastructure.
Correct Option: C) 8,000 is the most accurate approximation for the number of stations connected by the Indian Railways network.
This is a coding-decoding problem. We need to identify the pattern or mapping between the letters of the word "TEACHER" and the given code "8412745". Once the mapping for each letter is established, we can apply the same mapping to the letters of the word "CHEATER" to find its code.
The word is TEACHER and its code is 8412745.
From the above, we can create a direct letter-to-digit mapping:
Now, we will use this mapping to code the word CHEATER letter by letter:
Putting these digits together in order gives us the code for CHEATER: 2741845.
D) 2741845 is the correct code derived from the established mapping.
The problem asks us to identify the number that is different from the others in the given set: 157, 571, 599, 387. We need to look for a common property among three of the numbers and identify the one that does not share that property. A common approach for such problems is to check for primality, divisibility, or sum of digits.
Correct Option: D) 387 is the number that is different because it is a composite number, while the other three numbers (157, 571, 599) are prime numbers.
To find the net gain in percentage, we first need to calculate the cost price (CP) per box. Then, we calculate the selling price (SP) for the boxes sold at a profit and for the boxes sold at a loss. Finally, we sum up the total selling price and compare it with the total cost price to find the net profit percentage.
Calculate the Cost Price (CP) per box:
Total cost for 8 boxes = Rs. 9,600
Number of boxes = 8
\[ \text{CP per box} = \frac{\text{Total Cost}}{\text{Number of boxes}} = \frac{9600}{8} = \text{Rs. } 1200 \]Calculate the Selling Price (SP) for the 5 boxes sold at a profit:
Number of boxes = 5
Profit percentage = 10%
CP for 5 boxes = \(5 \times 1200 = \text{Rs. } 6000\)
\[ \text{SP for 5 boxes} = \text{CP for 5 boxes} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \] \[ \text{SP for 5 boxes} = 6000 \times \left(1 + \frac{10}{100}\right) = 6000 \times (1 + 0.10) = 6000 \times 1.10 = \text{Rs. } 6600 \]Calculate the Selling Price (SP) for the 3 boxes sold at a loss:
Number of boxes = 3
Loss percentage = 10%
CP for 3 boxes = \(3 \times 1200 = \text{Rs. } 3600\)
\[ \text{SP for 3 boxes} = \text{CP for 3 boxes} \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \] \[ \text{SP for 3 boxes} = 3600 \times \left(1 - \frac{10}{100}\right) = 3600 \times (1 - 0.10) = 3600 \times 0.90 = \text{Rs. } 3240 \]Calculate the Total Selling Price (Total SP):
\[ \text{Total SP} = \text{SP for 5 boxes} + \text{SP for 3 boxes} = 6600 + 3240 = \text{Rs. } 9840 \]Calculate the Net Gain (Profit):
Total CP = Rs. 9600
Total SP = Rs. 9840
\[ \text{Net Gain} = \text{Total SP} - \text{Total CP} = 9840 - 9600 = \text{Rs. } 240 \]Calculate the Net Gain Percentage:
\[ \text{Net Gain Percentage} = \frac{\text{Net Gain}}{\text{Total CP}} \times 100 \] \[ \text{Net Gain Percentage} = \frac{240}{9600} \times 100 = \frac{240}{96} = 2.5\% \]Correct Option: B) 2.5%
The question asks about the field of study to which Hubble's Law is related. To answer this, we need to recall what Hubble's Law describes and its context.
where \(V\) is the recession velocity, \(H_0\) is Hubble's constant, and \(D\) is the proper distance to the galaxy.
Correct Option: C) Hubble's Law is a fundamental principle in astronomy and cosmology, describing the expansion of the universe based on the recession velocity of galaxies.
The question asks about a specific incident in April 2016 where the National Green Tribunal (NGT) suspended environmental clearance for a hydropower project in Arunachal Pradesh. The key is to identify which endangered species was the focus of this protection.
D) Black-necked Cranes — The NGT's decision in April 2016 to suspend the environmental clearance for the Nyamjang Chhu hydropower project in Arunachal Pradesh was specifically to protect the wintering habitat of the endangered Black-necked Cranes. This bird holds cultural and religious significance for the local Monpa community.
The question asks about the primary function of the GSAT-18 satellite launched by India in October 2016. To answer this, one needs to recall the purpose and characteristics of the GSAT series of satellites developed by ISRO.
C) communication. GSAT-18, like other satellites in the GSAT series, was specifically designed and launched to augment India's communication capabilities, providing services like television, telecommunication, and internet.
The question asks for the location of Majuli, a significant river island known for being India's first and only island district. This is a factual question related to Indian geography and current affairs.
Correct Option: D) Assam is the correct state where Majuli, India's first and only island district, is located.
The question asks about the mouse action required to select an entire paragraph in MS Word. This is a common shortcut used for text manipulation in word processing software.
Correct Option: B) Triple clicking on mouse selects the entire paragraph by default, while working with text document in MS Word.
The question asks to identify the recipient of the Nobel Peace Prize in 2016. This requires knowledge of significant international awards and their laureates.
In 2016, the Nobel Peace Prize was awarded to Juan Manuel Santos, the then-President of Colombia, for his resolute efforts to bring the country's more than 50-year-long civil war to an end.
D) Juan Manuel Santos was awarded the Nobel Peace Prize in 2016 for his efforts to end the civil war in Colombia.