The problem requires us to modify a given number based on specific rules for its odd and even digits, and then find the difference between two specific digits in the resulting new number. We will first identify the odd and even digits, apply the operations, form the new number, and then find the required difference.
D) 6 — The second digit from the left in the new number is 2, and the second digit from the right is 8. Their difference is \(8 - 2 = 6\).
The question asks to identify the recipient of the Ramsar Award for 'Wetland Wise Use' in March 2025. This requires knowledge of recent environmental awards and their recipients, specifically those related to wetland conservation and the Ramsar Convention.
C) Jayashree Vencatesan — Dr. Jayashree Vencatesan, an Indian environmentalist, was awarded the Ramsar Award for 'Wetland Wise Use' in March 2025 for her significant contributions to wetland conservation and management.
To find the man's monthly expenditure, we first need to calculate the amount he saves. Since he saves 17% of his salary, we'll calculate 17% of ₹4,900. Then, we subtract the savings from his total salary to find his expenditure.
The amount saved is 17% of the monthly salary.
\[ \text{Amount Saved} = 17\% \text{ of } \text{₹}4,900 \]\[ \text{Amount Saved} = \frac{17}{100} \times 4900 \]\[ \text{Amount Saved} = 17 \times 49 \]\[ \text{Amount Saved} = \text{₹}833 \]Expenditure is the total salary minus the amount saved.
\[ \text{Expenditure} = \text{Monthly Salary} - \text{Amount Saved} \]\[ \text{Expenditure} = \text{₹}4,900 - \text{₹}833 \]\[ \text{Expenditure} = \text{₹}4,067 \]Correct Option: D) ₹4,067
To calculate the compound interest when compounded quarterly, we need to adjust the annual interest rate and the time period. The annual rate is divided by 4, and the number of compounding periods is multiplied by 4 for a 1-year duration. Then, we use the compound interest formula to find the total amount and subtract the principal to get the interest earned.
Since the interest is compounded quarterly, the number of compounding periods per year is \(n=4\).
The formula for the amount with compound interest is:
\[ A = P \left(1 + \frac{r}{100}\right)^N \]Substituting the values:
\[ A = 4,80,000 \left(1 + \frac{5}{100}\right)^4 \]\[ A = 4,80,000 (1 + 0.05)^4 \]\[ A = 4,80,000 (1.05)^4 \]Calculate \((1.05)^4\):
\[ (1.05)^2 = 1.1025 \]\[ (1.05)^4 = (1.1025)^2 = 1.21550625 \]Now, calculate \(A\):
\[ A = 4,80,000 \times 1.21550625 \]\[ A = 5,83,443 \]Compound Interest = Total Amount - Principal
\[ \text{CI} = A - P \]\[ \text{CI} = 5,83,443 - 4,80,000 \]\[ \text{CI} = 1,03,443 \]A) ₹1,03,443 is the correct compound interest earned.
We need to determine the exam schedule for seven people (P, Q, R, S, T, U, V) over seven days of the week, starting Monday and ending Sunday. We will use the given clues to deduce the exact day for each person's exam.
Establish the days: The days are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Clue 1: S has an exam on Tuesday.
Monday: ?
Tuesday: S
Wednesday: ?
Thursday: ?
Friday: ?
Saturday: ?
Sunday: ?
Clue 2: Exactly 3 people have an exam between S and V.
Since S is on Tuesday, V must be on Saturday (Tuesday + 3 days = Wednesday, Thursday, Friday, then Saturday).
Monday: ?
Tuesday: S
Wednesday: ?
Thursday: ?
Friday: ?
Saturday: V
Sunday: ?
Clue 3: T has an exam immediately before P and U has an exam immediately after P.
This means the sequence is T - P - U. This block of three consecutive days must fit into the remaining slots. The available consecutive slots are (Monday, Wednesday, Thursday, Friday, Sunday). The only three consecutive slots are Wednesday, Thursday, Friday.
Monday: ?
Tuesday: S
Wednesday: T
Thursday: P
Friday: U
Saturday: V
Sunday: ?
Clue 4: Only 1 person has an exam between T and R.
We know T is on Wednesday. If there's one person between T and R, R must be on Friday or Monday. Since U is on Friday, R cannot be on Friday. Therefore, R must be on Monday (with S on Tuesday, there is one person between R and T).
Monday: R
Tuesday: S
Wednesday: T
Thursday: P
Friday: U
Saturday: V
Sunday: ?
Final Placement: The only remaining person is Q, and the only remaining day is Sunday.
Monday: R
Tuesday: S
Wednesday: T
Thursday: P
Friday: U
Saturday: V
Sunday: Q
Answer the question: Who has an exam on Monday?
Based on our deductions, R has an exam on Monday.
B) R — As per the step-by-step deduction, R's exam is scheduled for Monday.
The question asks to identify the scheduling algorithm most prone to the "convoy effect." The convoy effect occurs when a slow-running process holds up other processes, especially shorter ones, that are ready to run. We need to analyze how each scheduling algorithm handles processes and identify which one allows a long process to monopolize the CPU, thus causing a convoy.
B) First-Come, First-Served (FCFS) is most prone to the convoy effect. If a long-running process arrives first, all subsequent processes, regardless of their length, must wait for the long process to complete. This creates a "convoy" of waiting processes.
The problem involves identifying the pattern and relationship between letter-clusters. We need to find the missing letter-clusters, # and %, such that the relationship between # : MLI is the same as LKH : %. This typically involves analyzing the positional values of letters in the English alphabet.
C) # = POL, % = IHE
When # = POL and the second cluster is MLI, the pattern is that each letter in POL is 3 positions ahead of the corresponding letter in MLI (P+3=M, O+3=L, L+3=I). Applying this same pattern to LKH, where LKH is the first cluster, we subtract 3 from each letter's position to get the second cluster (%): L-3=I, K-3=H, H-3=E. Thus, % = IHE.
This problem involves calculating the combined work rate of two taps, one filling and one emptying, and then determining the time required to fill a specific fraction of the tank. We will find the individual rates, then the net rate, and finally the time to fill one-fourth of the tank.
The first tap fills the cistern in 18 hours. So, in one hour, it fills \(\frac{1}{18}\) of the tank.
\[ \text{Filling Rate} = \frac{1}{18} \text{ tank/hour} \]The second tap empties the full tank in 24 hours. So, in one hour, it empties \(\frac{1}{24}\) of the tank.
\[ \text{Emptying Rate} = \frac{1}{24} \text{ tank/hour} \]Since one tap fills and the other empties, the net rate is the difference between the filling rate and the emptying rate.
\[ \text{Net Rate} = \text{Filling Rate} - \text{Emptying Rate} \]\[ \text{Net Rate} = \frac{1}{18} - \frac{1}{24} \]To subtract these fractions, find a common denominator, which is 72 (LCM of 18 and 24).\[ \text{Net Rate} = \frac{4}{72} - \frac{3}{72} \]\[ \text{Net Rate} = \frac{1}{72} \text{ tank/hour} \]This means that when both taps are open, \(\frac{1}{72}\) of the tank is filled in one hour.If \(\frac{1}{72}\) of the tank is filled in 1 hour, then the entire tank will be filled in 72 hours.
\[ \text{Time to fill full tank} = \frac{1}{\text{Net Rate}} = \frac{1}{1/72} = 72 \text{ hours} \]We need to find the time to fill \(\frac{1}{4}\) of the tank. Since the full tank takes 72 hours, one-fourth of the tank will take \(\frac{1}{4}\) of that time.
\[ \text{Time to fill } \frac{1}{4} \text{ tank} = \frac{1}{4} \times 72 \text{ hours} \]\[ \text{Time to fill } \frac{1}{4} \text{ tank} = 18 \text{ hours} \]D) 18 — As calculated, it will take 18 hours to fill one-fourth of the tank when both taps are open.
This problem involves arranging seven people around a circular table based on given conditions. We need to deduce the seating arrangement and then count the number of people between D and B when counted from the left of D.
B) Two
The question asks to identify which option is NOT allowed under the Citizenship Act, 1955. This requires knowledge of the provisions of the Indian Citizenship Act, specifically the ways in which Indian citizenship can be acquired and the principles governing it.
B) Dual citizenship — India's Citizenship Act, 1955, explicitly prohibits dual citizenship. An Indian citizen cannot hold citizenship of another country simultaneously. If a person acquires foreign citizenship, their Indian citizenship is automatically terminated.