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CAPFUPSC · written test · interview
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Chain Rule

Chain Rule: Formulas, Shortcuts and Solved Examples

Chain rule questions link several quantities, such as men, hours and days. They test whether you…
When solving a chain rule problem with multiple varying quantities, what is the standard approach?
The amount of work done is related to the number of workers (at a fixed rate) in what way?
The time taken to travel a fixed distance is related to speed in what way?
Two quantities are said to be in inverse (indirect) proportion when which relationship holds?
Two quantities are said to be in direct proportion when which relationship holds?
If 10 students utilize 6 pencils in 17 days, how long, at the same rate, will 9 pencils last for 3 students?
If 12 students utilize 16 sheets of paper in 12 days, how long, at the same rate, will 56 sheets of paper last for 3 students?
If 8 students utilize 8 notebooks in 19 days, how long, at the same rate, will 49 notebooks last for 7 students?
If 11 students utilize 22 notebooks in 14 days, how long, at the same rate, will 34 notebooks last for 17 students?
If 10 students utilize 33 sheets of paper in 10 days, how long, at the same rate, will 33 sheets of paper last for 20 students?
If 6 students utilize 10 sheets of paper in 8 days, how long, at the same rate, will 40 sheets of paper last for 8 students?
If 9 students utilize 39 pencils in 13 days, how long, at the same rate, will 43 pencils last for 3 students?
If 15 students utilize 9 pencils in 12 days, how long, at the same rate, will 17 pencils last for 10 students?
If 14 students utilize 35 notebooks in 19 days, how long, at the same rate, will 15 notebooks last for 3 students?
If 14 students utilize 33 sheets of paper in 3 days, how long, at the same rate, will 55 sheets of paper last for 7 students?
If 13 students utilize 7 notebooks in 7 days, how long, at the same rate, will 54 notebooks last for 3 students?
If 12 students utilize 33 sheets of paper in 5 days, how long, at the same rate, will 33 sheets of paper last for 10 students?
If 15 students utilize 35 notebooks in 12 days, how long, at the same rate, will 35 notebooks last for 15 students?
If 6 students utilize 34 pencils in 17 days, how long, at the same rate, will 20 pencils last for 4 students?
If 11 men or 21 women can do a piece of work in 20 days, in how many days will 3 men and 7 women do the same work?
If 18 men or 22 women can do a piece of work in 10 days, in how many days will 9 men and 11 women do the same work?
If 12 men or 12 women can do a piece of work in 14 days, in how many days will 2 men and 1 women do the same work?
If 9 men or 8 women can do a piece of work in 14 days, in how many days will 6 men and 4 women do the same work?
If 16 men or 28 women can do a piece of work in 21 days, in how many days will 4 men and 21 women do the same work?

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