MCQOPTIONS
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MCQOPTIONS
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 | |
| 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 | |
| 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 | |
| 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 | |
| 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. \[\frac{1}{{{x}^{3}}}\] | |
| 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 | |
| 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 | |