Explore topic-wise MCQs in Mental Ability.

This section includes 57 Mcqs, each offering curated multiple-choice questions to sharpen your Mental Ability knowledge and support exam preparation. Choose a topic below to get started.

51.

 If (G, .) is a group such that a2 = e, ∀a ∈ G, then G is

A. abelian group
B. non-abelian group
C. semi group
D. none of these
Answer» B. non-abelian group
Discussion
52.

 If (G, .) is a group such that (ab)- 1 = a-1b-1, ∀ a, b ∈ G, then G is a/an

A. commutative semi group
B. non-abelian group
C. abelian group
D. None of these
Answer» D. None of these
Discussion
53.

 The set of all real numbers under the usual multiplication operation is not a group since

A. zero has no inverse
B. identity element does not exist
C. multiplication is not associative
D. multiplication is not a binary operation
Answer» B. identity element does not exist
Discussion
54.

The value of \[\frac{{{\mathbf{2}}^{\mathbf{x+3}}}\mathbf{\times }{{\mathbf{3}}^{\mathbf{2x-y}}}\mathbf{\times }{{\mathbf{5}}^{\mathbf{x+y+3}}}\mathbf{\times }{{\mathbf{6}}^{\mathbf{y+1}}}}{{{\mathbf{6}}^{\mathbf{x+1}}}\mathbf{\times 1}{{\mathbf{0}}^{\mathbf{y+3}}}\mathbf{\times 1}{{\mathbf{5}}^{\mathbf{x}}}}\]is:

A. 1
B. 0
C. -1
D. 10
E. None of these
Answer» B. 0
Discussion
55.

Evaluate: \[{{\left[ {{\left\{ {{\left( \frac{\mathbf{1}}{\mathbf{x}} \right)}^{\mathbf{-12}}} \right\}}^{\frac{\mathbf{1}}{\mathbf{4}}}} \right]}^{\mathbf{-}\frac{\mathbf{2}}{\mathbf{3}}}}\]

A. \[\frac{1}{x}\]
B. \[\frac{1}{{{x}^{2}}}\]
C. \[\frac{1}{{{x}^{3}}}\]
D. \[\frac{1}{{{x}^{4}}}\]
E. None of these
Answer» C. \[\frac{1}{{{x}^{3}}}\]
Discussion
56.

Find the decimal number for the expanded form\[\left( 300+20+\frac{3}{10}+\frac{2}{100} \right)\].

A. 32.032
B. 320.32
C. 32.32
D. 320.302
E. None of these
Answer» C. 32.32
Discussion
57.

If \[\mathbf{x}=\mathbf{2},\text{ }\mathbf{y}=\mathbf{3}\] and \[\mathbf{z}=\mathbf{5}\], then the value of \[\frac{{{\mathbf{z}}^{\mathbf{2}}}\mathbf{-}\left( \mathbf{x+y} \right)}{\mathbf{3xyz}}\] will be:

A. \[\frac{20}{43}\]
B. \[\frac{3}{19}\]
C. \[\frac{2}{19}\]
D. \[\frac{2}{9}\]
E. None of these
Answer» E. None of these
Discussion