This set of MCQ(multiple choice questions) focuses on the Problem Solving Through Programming In C NPTEL Week 11 Solutions.
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Week 0 : Assignment
Week 1 :Â Introduction to Problem Solving through programs
Week 2 :Â Arithmetic expressions, Relational Operations, Logical expressions; Introduction to Conditional Branching
Week 3 :Â Conditional Branching and Iterative Loops
Programming Assignment
Week 4 :Â Arranging things : Arrays
Programming Assignment
Week 5 :Â 2-D arrays, Character Arrays and StringsÂ
Programming Assignment
Week 6 :Â Basic Algorithms including Numerical Algorithms
Week 7 :Â Functions and Parameter Passing by Value
Week 8 :Â Passing Arrays to Functions, Call by Reference
Programming Assignment
Week 9 :Â Recursion
Week 10 :Â Structures and Pointers
Week 11 :Â Self-Referential Structures and Introduction to Lists
Week 12 :Â Advanced Topics
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Problem Solving Through Programming In C NPTEL Week 11 assignment answers
Q1. Which are true about interpolation?
I. It is a process for finding a value between two points on a line or curve.
II. Interpolation provides a mean for estimating functions at the intermediate points.
a) Only I
b) Only II
c) Both I & II
d) None of the above
Answer: c) Both I & II
Q2. A Lagrange polynomial passes through three data points as given below
The value of f(x) at x=12 is
a) 12.78
b) 13.08
c) 15.20
d) 11.36
Answer: c) 15.20
Q3.
a) 5446.3
b) 5336.2
c) 4986.5
d) 5278.4
Answer: a) 5446.3
Q4.
Answer: c)
Q5.
a) 2.8634
b) 2.5546
c) 2.1865
d) 1.9856
Answer: b) 2.5546
Q6. What will be the area under the curve using the Trapezoidal Rule
a) 4.3829
b) 5.4863
c) 6.3427
d) 3.2857
Answer: a) 4.3829
Q7. The real root of the equation 5x – 2cosx – 1 = 0 (up to two decimal accuracy) is
a) 0.45 to 0.47
b) 0.47 to 0.49
c) 0.41 to 0.43
d) 0.53 to 0.56
Answer: d) 0.53 to 0.56
Q8. Which is/are false?
I. The bisection method is guaranteed to work for finding roots of all continuous functions.
II. Trapezoidal rule is technique for approximating the indefinite integral.
III. Lagrange polynomial is used for Polynomial Interpolation
a) Only I
b) Only II
c) II and III
d) None of the above are false
Answer: b) Only II
Q9. Find the root of x4 – x – 10 = 0 approximately upto 5 iterations using Bisection Method. Let a = 1.5 and b = 2.
a) 1.68
b) 1.92
c) 1.86
d) 1.66
Answer: c) 1.86
Q10. Match the following
a) A-2, B-4, C-1, D-3
b) A-3, B-1, C-2, D-4
c) A-1, B-4, C-3, D-2
d) A-2, B-3, C-4, D-1
Answer: a) A-2, B-4, C-1, D-3
Previous Course – NPTEL Week 11 assignment answers
Q1. Interpolation is a process for
a) extracting feasible data set from a given set of data
b) finding a value between two points on a line or curve
c) removing unnecessary points from a curve
d) all of the mentioned
Answer: b) finding a value between two points on a line or curve
Q2. Given two data ponts (a, f(a)) and (b, f(b)), the linear Lagrange polynomial f(x) that passes through these two points are given as
Answer: d)
Q3. To solve a differential equation using Runge-Kutta method, necessary inputs from user to the algorithm is/are
a) the differential equation dy/dx in the form x and y
b) the step size based on which the iterations are executed.
c) the initial value of y.
d) all the above
Answer: d) all the above
Q4.
a) 0.64
b) 3.33
c) 2.67
d) 0.56
Answer: a) 0.64
Q5.
a) 172.7
b) 125.6
c) 136.2
d) 142.8
Answer: b) 125.6
Q6. Solve the ordinary differential equation below using Runge-Kutta 4th order method. Step size h=0.2
5dy/dx + xy3 = cos(x), y(0) = 3
The value of y(0.2) is (upto two decimal points)
a) 2.86
b) 2.93
c) 3.13
d) 3.08
Answer: b) 2.93
Q7. Using Bisection method, negative root of x3 – 4x + 9 = 0 correct to three decimal place is
a) -2.506
b) -2.706
c) -2.406
d) None of the above
Answer: b) -2.706
Q8. Match the following
a) A – 2, B – 4, C – 1, D – 3
b) A – 3, B – 1, C – 2, D – 4
c) A – 1, B – 4, C – 3, D – 2
d) A – 2, B – 3, C – 4, D – 1
Answer: a) A – 2, B – 4, C – 1, D – 3
Q9.
a) 1.45 to 1.47
b) 1.74 to 1.76
c) 1.54 to 1.56
d) 1.63 to 1.65
Answer: b) 1.74 to 1.76
Q10. Consider the same recursive C function that takes two arguments
unsignedintfunc(unsigned int n, unsigned int r)
{
if(n > 0) return (n%r + func(n/r, r));
else return 0;
}
What is the return value of the function foo when it is called as func(513, 2)?
a) 9
b) 8
c) 5
d) 2
Answer: d) 2
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