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If $\dfrac{1}{2^{11} \cdot 5^{17}}$ is written as a terminating decimal, how many nonzero digits will it contain?
Rewrite the expression to have a denominator that is a power of 10:
$\dfrac{1}{2^{11} \cdot 5^{17}} = \dfrac{1}{2^{11} \cdot 5^{17}} \times \dfrac{2^6}{2^6} = \dfrac{2^6}{2^{17} \cdot 5^{17}} = \dfrac{64}{10^{17}}$
So the decimal is $\dfrac{64}{10^{17}} = 0.\underbrace{00\ldots0}_{15}64$
The nonzero digits are $6$ and $4$ β that is, two nonzero digits.
The first ever constructed barrage of Pakistan was which one?
The Sukkur Barrage, also known as Lloyd Barrage, built across the Indus River in Sindh and completed in 1932, was the first major barrage constructed in Pakistan.
Refeeding Syndrome occurs when nutrition (especially carbohydrates) is reintroduced after prolonged starvation. The sudden increase in insulin drives intracellular shift of electrolytes, causing:
| Electrolyte | Change | Normal Range | Consequence |
|---|---|---|---|
| Phosphate (PO\(_4^{3-}\)) | β Critical | \(0.8 - 1.5 \text{ mmol/L}\) | Respiratory failure, hemolysis, cardiac arrest |
| Potassium (K\(^+\)) | β Hypokalemia | \(3.5 - 5.0 \text{ mEq/L}\) | Arrhythmias, muscle weakness |
| Magnesium (Mg\(^{2+}\)) | β Hypomagnesemia | \(0.8 - 1.0 \text{ mmol/L}\) | Arrhythmias, seizures, neuromuscular excitability |
The ordinal level of measurement allows data to be ranked or ordered (e.g., first, second, third; or high, medium, low), but the intervals between ranks are not necessarily equal. Examples include class rankings, Likert scale ratings, and educational grades as categories.
Correct Answer: B — Ordinal.
A business creates an allowance for irrecoverable debts at the year end. Which accounting concepts have been applied?
- Matching / accruals
- Materiality
- Prudence
- Substance over form
Option B (1 and 3) is correct.
- Matching/Accruals (1): The allowance is recorded in the same period as the related sales revenue.
- Prudence (3): The business anticipates a possible future loss and recognises it now, avoiding overstating assets and profits.
Materiality (2) and Substance over form (4) are not specifically relevant here.
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