We are given the percentage of income spent and the amount saved. We need to find the monthly expenses. We can determine the percentage of income saved and then use this to find the total monthly income. Once the total income is known, the monthly expenses can be calculated.
Calculate the percentage of income saved: If a person spends 80% of their income, the remaining percentage is saved.
\[ \text{Percentage Saved} = 100\% - \text{Percentage Spent} \] \[ \text{Percentage Saved} = 100\% - 80\% = 20\% \]Determine the total monthly income: We know that 20% of the income is ₹6,738. Let the total monthly income be \(I\).
\[ 20\% \times I = \text{₹}6,738 \] \[ \frac{20}{100} \times I = 6,738 \] \[ I = \frac{6,738 \times 100}{20} \] \[ I = 6,738 \times 5 \] \[ I = \text{₹}33,690 \]Calculate the monthly expenses: Monthly expenses can be found by subtracting the savings from the total income, or by calculating 80% of the total income.
Using the first method:
\[ \text{Expenses} = \text{Income} - \text{Savings} \] \[ \text{Expenses} = \text{₹}33,690 - \text{₹}6,738 \] \[ \text{Expenses} = \text{₹}26,952 \]Alternatively, using the percentage spent:
\[ \text{Expenses} = 80\% \times \text{Income} \] \[ \text{Expenses} = \frac{80}{100} \times 33,690 \] \[ \text{Expenses} = 0.80 \times 33,690 \] \[ \text{Expenses} = \text{₹}26,952 \]Correct Option: B) 26,952
The problem asks us to identify a triad that follows the same pattern as the two given triads. We need to analyze the letter positions in the English alphabet for each letter in the given triads to find the underlying pattern.
Both triads follow these patterns:
B) LH-OK-RT
All conditions are met for option B.
The question asks for the keyboard shortcut to open File Explorer in Windows 11. This is a common operating system function, and knowing such shortcuts can significantly improve efficiency.
Correct Option: B) Windows Key + E
Pressing the Windows Key (often represented by the Windows logo) and the 'E' key simultaneously is the standard shortcut to open File Explorer (formerly Windows Explorer) in all modern versions of Windows, including Windows 11. This allows users to browse files, folders, and drives.
The question asks about the Capital Adequacy Ratio (CAR) and its relevance. We need to identify the sector or operation with which CAR is primarily associated.
A) Banking operations — The Capital Adequacy Ratio (CAR) is a key regulatory metric for banks. It measures a bank's capital in relation to its risk-weighted assets, ensuring that banks have sufficient capital to absorb potential losses and protect depositors, thereby maintaining the stability of the banking system.
The problem presents a series of letter-number clusters. To find the missing cluster, we need to identify the pattern in the letters and the numbers separately.
The pattern for the first letter is an increment of 1 in alphabetical order. So, the next letter will be Q (17th letter).
The pattern for the second letter is also an increment of 1 in alphabetical order. So, the next letter will be V (22nd letter).
Let's find the difference between consecutive numbers:
The pattern for the number is an increment of 8. So, the next number will be \(49 + 8 = 57\).
The next cluster will have the first letter Q, the second letter V, and the number 57.
Therefore, the missing cluster is QV57.
C) QV57 — This option correctly follows all three identified patterns: the first letter increments by one (P to Q), the second letter increments by one (U to V), and the number increments by eight (49 to 57).
This problem involves the relationship between the mean, median, and mode of a moderately skewed distribution. We will use the empirical formula relating these three measures of central tendency to solve the problem.
D) 8.4 is the correct answer. The mode exceeds the median by 8.4.
To find the average of the remaining two numbers, we first need to calculate the sum of all 9 numbers and the sum of the 7 numbers. Then, we can find the sum of the remaining two numbers by subtracting the sum of the 7 numbers from the sum of all 9 numbers. Finally, we divide this sum by 2 to get their average.
So, the sum of 9 numbers is:
\[ \text{Sum}_9 = \text{Average}_9 \times \text{Count}_9 = 17 \times 9 = 153 \]B) 20.5 is the correct average of the remaining two numbers.
The question asks to identify which of the given musical instruments is NOT a 'Sushira Vadya'. To answer this, we need to understand the classification of Indian musical instruments, specifically what 'Sushira Vadya' means.
Correct Option: D) Sitar — The Sitar is a stringed instrument (Tat Vadya), not a wind instrument (Sushira Vadya).
Simplify the following:
(\( \frac{88}{9} \)) × (74 + 30) + 37
\( \frac{2230}{9} \)
\( \frac{3872}{9} \)
\( \frac{9485}{9} \)
\( \frac{4205}{9} \)
To simplify the given expression, we need to follow the order of operations (BODMAS/PEMDAS): Brackets/Parentheses, Orders/Exponents, Division/Multiplication (from left to right), and Addition/Subtraction (from left to right).
Correct Option: C) \( \frac{9485}{9} \)