Important MCQ on Numerical Integration

1. The process of evaluating a definite integral from a set of tabulated values of the integrand is known as

A) Numerical Integration
B) Quadrature
C) Numerical Differentiation
D) None

... Answer is A)
Numerical Integration

2. The process when applied to a function of a single variable, is known as

A) Numerical Integration
B) Quadrature
C) Numerical Differentiation
D) None

... Answer is A)
Numerical Integration

3. Simpson's one-third is derived by newton cotes if n is

A) 2
B) 3
C) 4
D) 5

... Answer is A)
2.

4. Simpson's three-eighth is derived from newton cote's if n is

A) 2
B) 3
C) 4
D) None

... Answer is B)
3"

5. Simpsons one-third rule is used only when

A) n is even
B) The ordinates is even
C) n is multiple of 3
D) n is odd

... Answer is A)
n is even.

6. While applying Simpsons three-eighth rule the number of sub intervals should be

A) Odd
B) Even
C) Multiple of 3
D) None

... Answer is A)
n is even.

7. Simpson's one-third rule is applied when interval is

A) Multiple of 4
B) Even
C) Odd
D) None

... Answer is B)
Even.

8. By giving which value to n in newton quotes formula we get trapezoidal rule

A) 3
B) 2
C) 1
D) None

... Answer is C)
1.

9. The formula used for Trapezoidal rule is

A) n is even
B) The ordinates is even
C) n is multiple of 3
D) None

... Answer is C)
n is even.

10. Which of the following formula is used for numerical integration?

A) Simpson's one-third rule
B) Simpson's three-eighth rule
C) Trapezoidal rule
D) All of these

... Answer is D)
All of These.

11. Trapezoidal and Simpson's rule is used to evaluate

A) Numerical Integration
B) ODE
C) System of linear equations
D) All of these

... Answer is A)
Numerical Integration.

12. Accuracy of the rule increases when

A) h is a small
B) h is large
C) h is equal to 3
D) None

... Answer is A)
h is small.

13. The curve y = f(x) is a straight line then more accurate method applicable to this is

A) Trapezoidal rule
B) Simpson 's one-third rule
C) Simpson 's three-eighth rule
D) None

... Answer is A)
Trapezoidal Rule.

14. If n= 2 in quotes formula then we can derive

A) Trapezoidal rule
B) Simpson 's one-third rule
C) Simpson 's three-eighth rule
D) None

... Answer is A)
Trapezoidal Rule.

15. In the following table which method is more appropriate to solve 0 0.25 os 0.75 f(x) 0.1 0.9876 00959

A) Trapezoidal rule
B) Simpson's 1/3rd rule
C) Both A and B
D) None

... Answer is C)
Both A and B.