Study questions platform-wide or filter by specific tests with correct answers revealed.
Which of the following best defines Prime Cost?
Prime Cost $= \text{Direct Materials} + \text{Direct Labour} + \text{Direct Expenses}$. It includes all costs that can be directly traced to a product unit β not just materials and labour. Option A is the most accurate because it captures all directly chargeable items. Option B is incomplete (it excludes direct expenses). Option C describes total production cost (including overheads). Option D is vague and incorrect.
The level of measurement (nominal, ordinal, interval, ratio) defines the nature of the relationship among values in a dataset — whether they can be ordered, whether differences are meaningful, and whether ratios make sense. This concept is fundamental in choosing appropriate statistical analyses.
Correct Answer: A — Level of measurement.
0.5 moles of gas A and $x$ moles of gas B together exert a pressure of 200 Pa in a 10 m$^3$ container at 1000 K. Given that $R$ is the gas constant in J K$^{-1}$ mol$^{-1}$, the value of $x$ is:
Apply the ideal gas law: $PV = n_{\text{total}}RT$
$n_{\text{total}} = 0.5 + x$
$200 \times 10 = (0.5 + x) \times R \times 1000$
$2000 = 1000R(0.5 + x)$
$2 = R(0.5 + x) = 0.5R + Rx$
$Rx = 2 - 0.5R$
$x = \dfrac{2 - 0.5R}{R} = \dfrac{4 - R}{2R}$
Magnetic susceptibility: $\chi = \frac{M}{H}$, where $M$ is magnetisation (magnetic moment per unit volume).
Volume of cube: $V = (1\times10^{-2})^3 = 10^{-6}\ \text{m}^3$
Magnetisation: $M = \frac{\text{dipole moment}}{V} = \frac{20\times10^{-6}}{10^{-6}} = 20\ \text{A/m}$
$\chi = \frac{M}{H} = \frac{20}{60\times10^3} = 3.33\times10^{-4}$
$\chi \approx 3.3 \times 10^{-4}$
Sign in to join the conversation and share your thoughts.
Log In to Comment