Correct Answer:-Question Cancelled

Question19:-Let f: R = R bea Lebesgue measurable function and Ec R be a measurable set. Choose the correct statement from the following:

then m(E)=0

പേട ಯದ

D:-None of the above

Correct Answer: Option-D

Question20:-Let : R° = A be defined by f(xyl=(cty, xy), choose the correct statement from the following:
A-Df(0,0) does not exist

B:-D1(0,0) exists and is invertible

C-Df(0,0) exists but not invertible

Di-f does not have a local inverse at (0.0)

Correct Answer: Option ®

Question21:-Consider the function f: [0.1] ~ R defined by
‏مج ار رمم‎

1 at xistrrational
Which of the following statements is true?

[11 integrable and its Lebsegue integral is 1
B:+is Riemann integrable

Cf isnot Lebsegue integrable

Di-fis Lebsegue integrable and its Lebsegue integral is 0
Correct Answer:-Question Cancelled

‘Question22:-Let G be a non-abelian group of order 6. Then the number of subgroups of G of order 2 is.

Correct Answer: Option-C

‘Question23:-Which of the following pairs of groups are isomorphic:

Correct Answer: Option-D

Question24:-The number of abelian groups of order 36 (up to isomorphism) is

Correct Answer:- Option ®
Question25:-Let G be a group of order n. Then G is cyclic if nis:
ols
8:22.
039
0:35
Correct Answer:- Option-é

Question26:-Let G be a group of order 28. Which of the following statements is true?