Explore topic-wise MCQs in Mathematics.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Directions: The temperature of a liquid can be measured in kelvin units as\[\mathbf{x{}^\circ K}\] or in Fahrenheit units Units as\[\mathbf{y{}^\circ F}\], the relation between the two system of measurement of temperature is given by the linear equation\[\mathbf{y-32=}\frac{\mathbf{9}}{\mathbf{2}}\mathbf{(x-273)}\]. Based on this information, answer the following questions: Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is \[\mathbf{333{}^\circ K}\]

A. \[-\,140{}^\circ F\]
B. \[140{}^\circ F\]
C. \[158{}^\circ F\]
D. \[-\,158{}^\circ F\]
E. None of these
Answer» C. \[158{}^\circ F\]
Discussion
2.

\[{{\mathbf{(}\sqrt{\mathbf{P}}\mathbf{-}\sqrt{\mathbf{Q}}\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{Q}}\mathbf{-}\sqrt{\mathbf{R}}{{\mathbf{)}}^{\mathbf{3}}}\mathbf{+(}\sqrt{\mathbf{R}}\mathbf{-}\sqrt{\mathbf{P}}{{\mathbf{)}}^{\mathbf{3}}}\] equals to _______

A. \[3(P-Q)(Q-R)(R-P)\]
B. \[3(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})\]
C. \[\sqrt{3}(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})\]
D. All the above
E. None of these
Answer» C. \[\sqrt{3}(\sqrt{P}-\sqrt{Q})(\sqrt{Q}-\sqrt{R})(\sqrt{R}-\sqrt{P})\]
Discussion
3.

\[\mathbf{x=-5}\] and \[\mathbf{y=1}\] is a solution of the linear equation _______   

A. \[x-2y= 7\]
B. \[3y-x=-\,8\]
C. \[6y-x=11\]
D. \[3x=15y\]
E. None of these
Answer» D. \[3x=15y\]
Discussion
4.

The area of a square whose opposite vertices are \[\mathbf{(0, 0)}\]and \[\mathbf{(6,6)}\]is _______

A. \[36\text{ }unit{{s}^{2}}\]
B. \[30\text{ }unit{{s}^{2}}\]
C. \[34\text{ }unit{{s}^{2}}\]
D. Cannot be determined
E. None of these
Answer» B. \[30\text{ }unit{{s}^{2}}\]
Discussion
5.

\[{{\mathbf{l}}^{\mathbf{3}}}{{\mathbf{(m-n)}}^{\mathbf{3}}}\mathbf{+}{{\mathbf{m}}^{\mathbf{3}}}{{\mathbf{(n-l)}}^{\mathbf{3}}}\mathbf{+}{{\mathbf{n}}^{\mathbf{3}}}{{\mathbf{(l-m)}}^{\mathbf{3}}}\]equals to _________

A. \[{{(lmn)}^{3}}(l-m)(m-n)(n-l)\]
B. \[(lm+mn+nl)(3{{l}^{2}}{{m}^{2}}{{n}^{2}})\]
C. \[3lmn(m-n)(n-l)(l-m)\]
D. 0
E. None of these
Answer» D. 0
Discussion