PYQs Based Test - 27 : Numerical Methods (Integral Equations)

Topics Covered

Sample Questions from this Test

1. Match the CORRECT pairs:

   Numerical Integration Scheme	Order of Fitting Polynomial
   P. Simpson’s 3/8 Rule	1. First
   Q. Trapezoidal Rule	2. Second
   R. Simpson’s 1/3 Rule	3. Third

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2. With respect to the numerical evaluation of the definite integral. $K={\int }_a^b{x}^{2}dx,$ where a and b are given, which of the following statements is/are TRUE?
   
   I) The value of K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.
   
   II) The value of K obtained using the Simpson’s rule is always equal to the exact value of the definite integral.
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3. The definite integral $\underset{1}{\overset{3}{\int }}\frac{1}{x}dx$ is evaluated using Trapezoidal rule with a step size of 1. The correct answer is __________
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
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• Detailed solutions and analytics are available immediately after submission.
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