This problem requires us to substitute the given symbols with their corresponding mathematical operators and then solve the expression following the order of operations (BODMAS/PEMDAS).
Correct Option: C) 54
This is a blood relations problem. We need to deduce the relationship between P and W by constructing a family tree based on the given statements. We will use standard symbols: a plus sign (+) for male, a minus sign (-) for female, a double-headed arrow (<-->) for marriage, and a single arrow (--) for parent-child relationships.
C) Brother — P and W share the same parents (S and L), making them siblings. Since D is the only sister of W, P must be a brother to W.
The question asks for a market-based mechanism adopted by India to balance industrial growth, energy efficiency, and emissions, especially in the context of post-1991 economic reforms. We need to identify which option directly addresses these three aspects through a market-based approach.
C) Perform, Achieve and Trade (PAT) scheme is a market-based mechanism implemented by the Bureau of Energy Efficiency (BEE) under the Ministry of Power. It aims to enhance energy efficiency in energy-intensive industries by setting specific energy consumption reduction targets and allowing the trading of Energy Saving Certificates (ESCerts). This directly addresses industrial growth (by making it more sustainable), energy efficiency, and emissions reduction through a market mechanism.
This problem involves work and time. We will calculate the individual work rates of Mohan and Pramod, then find their combined work rate. Using the combined work rate of Mohan, Pramod, and Ashish, we can determine Ashish's individual work rate. Finally, we will calculate the time Ashish takes to do twice the work.
Mohan can do the work in 9 hours. So, Mohan's 1-hour work rate is:
\[ \text{Mohan's work rate} = \frac{1}{9} \text{ part of the work per hour} \]Pramod can do the work in 21 hours. So, Pramod's 1-hour work rate is:
\[ \text{Pramod's work rate} = \frac{1}{21} \text{ part of the work per hour} \]With Ashish's assistance, they completed the work in 6 hours. So, their combined 1-hour work rate is:
\[ \text{Combined work rate (M+P+A)} = \frac{1}{6} \text{ part of the work per hour} \]Ashish's work rate can be found by subtracting Mohan's and Pramod's work rates from the combined work rate:
\[ \text{Ashish's work rate} = \text{Combined work rate (M+P+A)} - (\text{Mohan's work rate} + \text{Pramod's work rate}) \] \[ \text{Ashish's work rate} = \frac{1}{6} - \left( \frac{1}{9} + \frac{1}{21} \right) \]First, find the sum of Mohan's and Pramod's work rates:
\[ \frac{1}{9} + \frac{1}{21} = \frac{7}{63} + \frac{3}{63} = \frac{10}{63} \]Now, subtract this from the combined rate:
\[ \text{Ashish's work rate} = \frac{1}{6} - \frac{10}{63} \]To subtract, find a common denominator for 6 and 63, which is 126:
\[ \text{Ashish's work rate} = \frac{21}{126} - \frac{20}{126} = \frac{1}{126} \text{ part of the work per hour} \]If Ashish completes \(\frac{1}{126}\) of the work in 1 hour, he will complete the entire work in 126 hours.
To do twice the work, Ashish will take twice the time:
\[ \text{Time for twice the work} = 2 \times 126 \text{ hours} = 252 \text{ hours} \]Correct Option: B) 252
The question asks about a specific component of the Pradhan Mantri Awas Yojana (PMAY-U 2.0) scheme launched in 2024, focusing on housing solutions for migrants and workers. We need to identify which of the given options directly addresses this target group within the PMAY-U framework.
Correct Option: C) Affordable rental housing complexes
To solve this problem, we need to track Mr. RST's movements step-by-step, noting the distance and direction of each segment. We can represent these movements on a 2D coordinate system or by drawing a path. Finally, we'll determine the net displacement from the starting point (A) to the stopping point (P) to find the shortest distance and direction needed to return to A.
C) 6 km to the east
As calculated, Mr. RST ends up at a position 6 km to the west of his starting point A. Therefore, to return to Point A, he must drive 6 km to the east.
The question asks to identify a Tier I city from the given options. Tier I cities in India are generally defined based on their population, economic significance, infrastructure, and connectivity. They are the major metropolitan centers of the country.
D) Kolkata
Kolkata is one of the four original metropolitan cities of India and is consistently classified as a Tier I city due to its large population, significant economic activity, historical importance, and extensive infrastructure. It is a major cultural, educational, and commercial hub in Eastern India.
To find the average daily spending, we need to sum up all the spending amounts over the given days and then divide by the total number of days. The formula for average is:
\[ \text{Average} = \frac{\text{Sum of all values}}{\text{Number of values}} \]In this case, the values are the daily spending amounts, and the number of values is the number of days.
The amounts spent on six consecutive days are ₹1,200, ₹1,300, ₹1,400, ₹1,100, ₹1,300, and ₹1,200.
Add all the daily spending amounts together:
\[ \text{Total Spending} = 1200 + 1300 + 1400 + 1100 + 1300 + 1200 \]Let's sum them up:
So, the total spending is ₹7,500.
Raj spent money on six consecutive days, so the number of days is 6.
Divide the total spending by the number of days:
\[ \text{Average Daily Spending} = \frac{\text{Total Spending}}{\text{Number of Days}} = \frac{7500}{6} \]Now, perform the division:
\[ \frac{7500}{6} = 1250 \]The average daily spending is ₹1,250.
B) ₹1,250 — As calculated, the sum of all expenses is ₹7,500 over 6 days, resulting in an average of ₹1,250 per day.
To calculate the simple interest, we use the standard formula for simple interest, which involves the principal amount, the rate of interest per annum, and the time period in years.
The formula for simple interest is:
\[ \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \]Substitute P = 2200, R = 5, and T = 2 into the formula:
\[ \text{SI} = \frac{2200 \times 5 \times 2}{100} \]Perform the multiplication in the numerator:
\[ \text{SI} = \frac{2200 \times 10}{100} \]\[ \text{SI} = \frac{22000}{100} \]\[ \text{SI} = 220 \]The simple interest is ₹220.
Correct Option: A) ₹220 is the calculated simple interest based on the given principal, rate, and time.
The problem asks us to identify the highest and lowest numbers from a given set of three-digit numbers, then extract the second digit of each, and finally subtract the second digit of the highest number from the second digit of the lowest number.
Correct Option: C) −1