Study questions platform-wide or filter by specific tests with correct answers revealed.
The Under-5 Mortality Rate (U5MR) is defined as:
\\text{U5MR} = \\frac{\\text{Deaths of children under 5 years}}{\\text{Number of live births in same period}} \\times 1000
It is expressed per 1,000 live births. U5MR is a key indicator of child health and overall development. Pakistan's U5MR is approximately 67โ70 per 1,000 live births. The leading causes include pneumonia, diarrhea, malnutrition, and neonatal complications โ all areas where community health nursing interventions are critical.
Given that $0 < x < y < 1$, compare the two quantities:
Quantity A: $1 - y$
Quantity B: $y - x$
We know $0 < x < y < 1$. Let's test specific values to see if the relationship is fixed.
Example 1: $x = 0.1,\ y = 0.2$.
Quantity A: $1 - 0.2 = 0.8$. Quantity B: $0.2 - 0.1 = 0.1$. A > B.
Example 2: $x = 0.1,\ y = 0.9$.
Quantity A: $1 - 0.9 = 0.1$. Quantity B: $0.9 - 0.1 = 0.8$. B > A.
Since the relationship changes depending on the values of $x$ and $y$, it cannot be determined from the information given.
$d = 5.03894$ and $\overline{d}$ is the decimal expression for $d$ rounded to the nearest thousandth.
Compare:
Column A: The number of decimal places where $d$ and $\overline{d}$ differ
Column B: 4
When we round $d = 5.03894$ to the nearest thousandth, we get $\overline{d} = 5.039$ (since the fourth decimal place is 9, which is $\geq 5$, we round up).
Comparing digit by digit:
- Position 1 (units): both have 5 โ
- Position 2 (tenths): both have 0 โ
- Position 3 (hundredths): both have 3 โ
- Position 4 (thousandths): $d$ has 8, $\overline{d}$ has 9 โ
- Position 5 onwards: $d$ has 94, $\overline{d}$ has nothing
The positions where they differ are the thousandths place and beyond (positions 4, 5, 6...). If we count decimal places where values differ, we get 3 places (the thousandth, ten-thousandth, and hundred-thousandth positions).
Actually, re-reading: the question asks for decimal PLACES where they differ. Since $\overline{d}$ ends at thousandths, comparing through all decimal places in $d$: they differ at the 4th and 5th decimal positions. That's 2 places, which is less than 4.
Therefore Column B is greater.
Sign in to join the conversation and share your thoughts.
Log In to Comment