Observe the table below and answer the question.
The table gives details of the number of students from various schools playing different games.
| Games | Schools | ||||
| A | B | C | D | E | |
| Badminton | 34 | 67 | 23 | 78 | 56 |
| Table Tennis | 21 | 40 | 26 | 32 | 29 |
| Football | 12 | 22 | 19 | 16 | 21 |
| Basketball | 09 | 13 | 07 | 12 | 06 |
| Cricket | 98 | 121 | 78 | 84 | 67 |
Across all games, which schools have the maximum and minimum participation of students, respectively?
To find the schools with maximum and minimum student participation, we need to calculate the total number of students from each school across all the given games. After calculating the totals, we can identify the maximum and minimum values.
Correct Option: B) B and C
The question asks to identify which of the given hydrocarbons is NOT responsible for the depletion of the ozone layer. This requires knowledge of substances that cause ozone depletion and their common applications.
Asphalt is a viscous, black, and sticky form of petroleum used primarily for paving roads and as a waterproofing agent. Its chemical composition consists mainly of complex hydrocarbons, but it does not contain chlorine or bromine atoms in a form that contributes to ozone layer depletion. Thus, it is not responsible for ozone depletion.
To find Ravi's salary, we first need to calculate the amount by which Ravi's salary is more than Mohan's. This is 20% of Mohan's salary. Once we find this amount, we add it to Mohan's salary to get Ravi's total salary.
Identify Mohan's salary:
Mohan's salary \( = \text{₹}1600 \)
Calculate the percentage increase:
Ravi's salary is 20% more than Mohan's salary. So, we need to find 20% of Mohan's salary.
\[ \text{Increase amount} = 20\% \times \text{Mohan's salary} \]\[ \text{Increase amount} = \frac{20}{100} \times 1600 \]\[ \text{Increase amount} = 0.20 \times 1600 \]\[ \text{Increase amount} = \text{₹}320 \]Calculate Ravi's salary:
Ravi's salary is Mohan's salary plus the increase amount.
\[ \text{Ravi's salary} = \text{Mohan's salary} + \text{Increase amount} \]\[ \text{Ravi's salary} = 1600 + 320 \]\[ \text{Ravi's salary} = \text{₹}1920 \]Correct Option: C) ₹1,920
To find the new profit percentage, we first need to determine the Cost Price (CP) of the article using the initial selling price and profit percentage. Once the CP is known, we can calculate the profit and then the profit percentage for the new selling price.
Given that the selling price (\(SP_1\)) is ₹750 and the profit percentage is 25%.
The formula for selling price with profit percentage is:
\[ SP = CP \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]Substitute the given values:
\[ 750 = CP \times \left(1 + \frac{25}{100}\right) \]\[ 750 = CP \times \left(1 + 0.25\right) \]\[ 750 = CP \times 1.25 \]Now, solve for CP:
\[ CP = \frac{750}{1.25} \]\[ CP = \frac{750}{\frac{5}{4}} \]\[ CP = 750 \times \frac{4}{5} \]\[ CP = 150 \times 4 \]\[ CP = \text{₹}600 \]The new selling price (\(SP_2\)) is ₹660.
The Cost Price (CP) is ₹600.
First, calculate the profit:
\[ \text{Profit} = SP_2 - CP \]\[ \text{Profit} = 660 - 600 \]\[ \text{Profit} = \text{₹}60 \]Now, calculate the profit percentage:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \]\[ \text{Profit Percentage} = \left(\frac{60}{600}\right) \times 100 \]\[ \text{Profit Percentage} = \left(\frac{1}{10}\right) \times 100 \]\[ \text{Profit Percentage} = 10\% \]Correct Option: B) 10%
Observe the table below and answer the question.
The table gives the details of computer printers sold by XYZ Computers over a period of 5 years.
| Year | Types of Printers | ||
| L-1101 | L-1102 | L-1103 | |
| 2014 | 345 | 678 | 340 |
| 2015 | 451 | 822 | 235 |
| 2016 | 389 | 907 | 423 |
| 2017 | 562 | 1022 | 548 |
| 2018 | 677 | 1245 | 674 |
| Total | 2424 | 4674 | 2220 |
What was the approximate percentage increase in the sales of printer model L-1102 in 2018 compared with that in 2014?
To find the approximate percentage increase in sales of printer model L-1102 from 2014 to 2018, we need to identify the sales figures for L-1102 in both years from the given table. Then, we will use the percentage increase formula: \[\frac{\text{Change in Sales}}{\text{Original Sales}} \times 100\%\].
From the table, sales of L-1102 in 2014 = 678 units.
From the table, sales of L-1102 in 2018 = 1245 units.
Increase = Sales in 2018 - Sales in 2014
\[ \text{Increase} = 1245 - 678 = 567 \text{ units} \]
Percentage Increase = \[\frac{\text{Increase}}{\text{Sales in 2014}} \times 100\%\]
\[ \text{Percentage Increase} = \frac{567}{678} \times 100\% \]
\[ \text{Percentage Increase} \approx 0.83628 \times 100\% \]
\[ \text{Percentage Increase} \approx 83.628\% \]
The approximate percentage increase is 84%.
Correct Option: C) 84%
To find the ratio of simple interests, we will use the formula for simple interest, \(SI = \frac{P \times R \times T}{100}\). Since the principal amount is the same for both cases, we can set it as \(P\). We will then calculate the simple interest for each case and find their ratio.
Divide both the numerator and the denominator by their greatest common divisor, which is 6.
\[ \text{Ratio} = \frac{30 \div 6}{24 \div 6} = \frac{5}{4} \]So, the ratio is 5 : 4.Correct Option: A) The ratio of simple interest earned is 5 : 4. This is derived by calculating the simple interest for both scenarios and then simplifying their ratio.
If 2x = 4(y+1) and 3y = 3(x-9), then the values of x and y, respectively, are:
The problem provides a system of two linear equations with two variables, \(x\) and \(y\). We need to solve this system to find the values of \(x\) and \(y\). We can use either the substitution method or the elimination method. The substitution method is generally straightforward when one variable can be easily expressed in terms of the other.
Write down the given equations:
Equation (1): \(2x = 4(y+1)\)
Equation (2): \(3y = 3(x-9)\)
Simplify Equation (1):
\[ 2x = 4y + 4 \]\[ x = 2y + 2 \quad (\text{Equation 3}) \]Simplify Equation (2):
\[ 3y = 3x - 27 \]\[ y = x - 9 \quad (\text{Equation 4}) \]Substitute Equation (4) into Equation (3). This means replacing \(y\) in Equation (3) with \((x-9)\):
\[ x = 2(x-9) + 2 \]\[ x = 2x - 18 + 2 \]\[ x = 2x - 16 \]Solve for \(x\):
\[ x - 2x = -16 \]\[ -x = -16 \]\[ x = 16 \]Substitute the value of \(x\) back into Equation (4) to find \(y\):
\[ y = x - 9 \]\[ y = 16 - 9 \]\[ y = 7 \]Thus, the values are \(x=16\) and \(y=7\).
A) 16, 7. This matches our calculated values for \(x\) and \(y\).
The task is to identify the word that is different from the other three. This often involves finding a common category or function shared by three items, while the fourth one falls outside that category.
C) Hanger — A hanger is an item used for suspending clothes, whereas a screwdriver, drill, and spanner are all types of hand tools used for various mechanical tasks.
Rama can finish a piece of work in 50 days. He worked 10 days but then stopped. Then Ravi finished the remaining work alone in 32 days. How much time will Rama and Ravi, working together, need to finish the same work?
24 \( \frac{2}{9} \) days
24 \( \frac{1}{9} \) days
22 \( \frac{2}{9} \) days
22 \( \frac{4}{9} \)days
This problem involves work and time. We need to determine the individual work rates of Rama and Ravi, then calculate their combined work rate, and finally find the time they would take to complete the work together. We will use the concept that if a person can complete a work in 'n' days, their one-day work is \(1/n\) of the total work.
Correct Option: C) 22 \( \frac{2}{9} \) days
If the number 2893#\$ is divisible by 8 and 5, then the digits that would come in the place of # and \$, respectively, are:
To solve this problem, we need to apply the divisibility rules for 5 and 8. A number is divisible by 5 if its last digit is 0 or 5. A number is divisible by 8 if its last three digits form a number that is divisible by 8. We will use these rules to determine the possible values for '#' and '\('.
Divisibility by 5:
A number is divisible by 5 if its unit digit is 0 or 5. The given number is \(2893\#\\)\). The unit digit is \(\\(\). Therefore, \(\\)\) must be either 0 or 5.
Divisibility by 8:
A number is divisible by 8 if the number formed by its last three digits is divisible by 8. The last three digits of \(2893\#\\(\) are \(3\#\\)\).
Combining the rules:
We have two cases for \(\\(\):
Case 1: \(\\) = 5\)
If \(\\( = 5\), the last three digits are \(3\#5\). For this number to be divisible by 8, we need to check values for \(\#\). Let's try possible digits for \(\#\) (0-9):
None of the numbers ending in 5 are divisible by 8. This is because any number divisible by 8 must be an even number, but numbers ending in 5 are odd. Therefore, \(\\)\) cannot be 5.
Case 2: \(\\( = 0\)
If \(\\) = 0\), the last three digits are \(3\#0\). For this number to be divisible by 8, we need to check values for \(\#\):
So, if \(\# = 2\) and \(\\( = 0\), the number \(289320\) is divisible by both 5 and 8.
We can continue checking other values for \(\#\) to ensure there are no other possibilities, but the question asks for "the digits", implying a unique solution among the options.
The possible pairs for \((\#, \\()\) are \((2, 0)\) and \((6, 0)\).
Check the options:
Option A is \((2, 0)\), which is one of the valid pairs we found.
Correct Option: A) The digits that would come in the place of # and \\) are 2 and 0, respectively. This makes the number \(289320\). The last digit is 0, so it's divisible by 5. The last three digits form 320, and \(320 \div 8 = 40\), so it's divisible by 8.