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The MCQs below are drawn from the Applied Mathematics subject category.
Showing 101–110
of 718 MCQs
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101
Calculate the sum of 10 observations if their arithmetic mean is 20.
The arithmetic mean is defined as the sum of observations divided by the number of observations. Therefore, the sum is calculated by multiplying the mean (20) by the number of observations (10), resulting in 200.
102
Calculate the arithmetic mean of the following set of numbers: 8, 16, 32, 49, and 51.
To find the average, we sum the given numbers: 8 + 16 + 32 + 49 + 51 = 156. Since there are five numbers in the set, we divide the total sum by 5. The calculation 156 divided by 5 results in 31.2.
103
The average age of 40 students is 12 years. When the teacher's age is included, the average increases by one year. How old is the teacher?
The total age of the 40 students is 40 * 12 = 480 years. With the teacher included, there are 41 people, and the new average is 13 years. The new total age is 41 * 13 = 533 years. The teacher's age is the difference between the new total and the original total: 533 - 480 = 53 years.
104
The average of six numbers is 30. If the average of the first four numbers is 25 and the average of the last three numbers is 35, what is the value of the fourth number?
The total sum of the six numbers is 6 multiplied by 30, which equals 180. The sum of the first four is 4 times 25 (100), and the sum of the last three is 3 times 35 (105). The fourth number is the overlap: (100 + 105) - 180 = 25.
105
If 10 workers can complete a specific task in 14 days, how many days will it take for 4 workers to complete the same task, assuming they work at an identical pace?
The total work required is calculated as 10 men multiplied by 14 days, which equals 140 man-days. To find the time required for 4 men, we divide the total work by the number of workers: 140 / 4 = 35 days. This assumes the rate of work per person remains constant throughout the project.
106
If 15 men can complete a task in 20 days, how many days will it take for 25 men to finish the same task?
The number of men and the time taken are inversely proportional. Using the formula M1 * D1 = M2 * D2, we have 15 * 20 = 25 * D2. This simplifies to 300 = 25 * D2, so D2 = 300 / 25 = 12 days.
107
If 24 workers can complete a specific task in 10 days, how many days would it take for 30 workers to complete the same task?
The total work required is calculated as 24 workers multiplied by 10 days, totaling 240 man-days. To find the time required for 30 workers, divide the total man-days by the number of workers: 240 / 30 = 8 days. This assumes a constant work rate per individual.
108
If a construction project requires 20 men to complete a building in 40 days, how many days would it take for 10 men to complete the same project?
This is a work-rate problem where the total work remains constant. The total work is calculated as 20 men * 40 days = 800 man-days. If the number of men is reduced to 10, the time required is calculated by dividing the total man-days by the number of men: 800 / 10 = 80 days.
109
A man initially owned 11 buffaloes. If all but seven of them died, how many buffaloes remain alive?
The phrase 'all but seven died' means that seven buffaloes did not die. Therefore, seven buffaloes remain alive. Since the number 7 is not listed among the options A, B, or C, the correct choice is 'None of these'.
110
If 16 men can complete a construction project in 10 days, how many days would it take for 8 men to complete the same amount of work?
The total work required is calculated as 16 men multiplied by 10 days, resulting in 160 man-days. To find the time required for 8 men, we divide the total work of 160 man-days by the number of men, which is 8. This calculation yields 20 days to complete the project.
