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Chain Rule Questions

Practice 27 Chain Rule questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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27
Total Questions
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1
Easy
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26
Medium
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0
Hard

About Chain Rule — practice questions, PYQs & concepts

Chain Rule is a frequently-tested topic on Quantitative Aptitude, Mathematics. ExamTest.live currently lists 27 Chain Rule questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Chain Rule weight in competitive exams

Across our Chain Rule question bank, the largest sources are Quantitative Aptitude (20) and Mathematics (7). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 1 easy Chain Rule questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Chain Rule Questions(127 of 27)

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Q1mediummcqMathematicsMathematics Mock Test - 12026
8% accuracy
Given and . The derivative of with respect to is:
Q2mediummcqMathematicsMathematics Mock Test - 12026
17% accuracy
Let be a differentiable function defined for all such that for all . Then the value of is:
Q3mediummcqQuantitative AptitudeCompetitive Exam 20262026
33% accuracy
If 12 students can read 4800 pages of a book in 15 days, then how many students can read 7200 pages of the same book in 10 days?
Q4mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
30 persons working 10 hours a day can do 5 units of work in 12 days. How many people are required to do 8 units of that work in 16 days if they work for 8 hours a day?
Q5mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
Derivative of w.r.t. is:
Q6mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
120 men consume 720kg of rice in 30 days. In how many days can 90 men consume 270kg?
Q7mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
Let , and , then is:
Q8mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
persons can repair a tunnel in days working hours a day. In how many days will persons working hours a day complete the work?
Q9mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If , then find the value of at .
Q10mediummcqQuantitative AptitudePractice Test2026
If of land can be irrigated in by a well-pump working a day, how many days will it take to irrigate of land using the same pump if it works a day?
Q11mediummcqQuantitative AptitudeCompetitive Exams2026
The cost of printing a magazine of pages with lines on each page and words in each line is . Find the cost of printing a magazine of pages with lines on each page and words in each line.
Q12mediummcqQuantitative AptitudeCompetitive Exams2026
A laboratory has to pay for days as a gas bill if it uses gas burners for a day. Find the amount to be paid if it uses gas burners for days working a day.
Q13mediummcqQuantitative AptitudeIndian Competitive Exam Prep2026
In a military camp, there was sufficient food for days for a total of men. After days, men left the camp. The remaining men will spend the remaining food provisions in how many days?
Q14mediummcqQuantitative AptitudePractice Test2026
A contractor undertakes to make a tunnel in days and employs men. After days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work days earlier?
Q15mediummcqQuantitative AptitudePractice Test2026
If persons can finish a work within by working a day, then the number of hours per day that persons should work to finish that same job within is:
Q16mediummcqQuantitative AptitudeCompetitive Exam2026
If persons build a wall in days, then how many persons will be required to build the same type of wall of length in days?
Q17mediummcqQuantitative AptitudeCompetitive Exam2026
By working 12 hours a day, 90 people can complete a work in 16 days. How much work will be left after 24 days if 70 people work for 8 hours per day?
Q18mediummcqQuantitative AptitudeCompetitive Exam2026
If 72 boys can build a wall of length in 21 days, how many boys would take 18 days to build a similar type of wall of length ?
Q19mediummcqQuantitative AptitudeCompetitive Exam2026
If men can build a wall of length in days, then how many men are required to build the same wall of length in days?
Q20mediummcqQuantitative AptitudeCompetitive Exam Practice2026
Eight labourers working 10 hours a day completed a work in 18 days. If only 5 labourers are working, then in how many hours a day should they work to finish the work in 24 days?
Q21mediummcqQuantitative AptitudePractice Test2026
If people can complete a piece of work in days by working hours a day, then how many hours a day should people work to complete the same work in days?
Q22mediummcqQuantitative AptitudeCompetitive Exam2026
If 15 apples cost as much as 6 strawberries, 2 strawberries cost as much as 16 bananas, 6 bananas cost as much as 15 potatoes, then what is the cost of 1 potato if an apple costs ₹ 20?
Q23easymcqQuantitative AptitudeSSC CGL2026
A group of 25 tourists consume 5 containers of food in 8 days in a hotel. How many containers will be required for 10 tourists to eat for 16 days?
Q24mediummcqQuantitative AptitudePractice Mock2026
At a college NSS camp, there is food provisions for 320 students for 38days. If 60 more students join the NSS camp on the first day itself, then for how many days will the provisions last?
Q25mediummcqQuantitative AptitudeAdda2472026
If boys can build a wall of length in days, how many boys would take days to build a similar type of wall of length ?
Q26mediummcqMathematicsMathematics Mock Test - 112026
Let satisfy . Then the value of at equals:
Q27mediummcqMathematicsMathematics Mock Test - 32026
The differential coefficient of when is:

Frequently Asked Questions

How many Chain Rule questions are on ExamTest.live?
We have 27 Chain Rule questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Chain Rule MCQs free?
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Which exams include Chain Rule questions?
Chain Rule questions are commonly asked in Quantitative Aptitude, Mathematics. You can filter by exam using the links above.
How do I practice Chain Rule questions effectively?
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.