# $\mathrm{X}$ is $1 \mathrm{~km}$ northeast of $\mathrm{Y} . \mathrm{Y}$ is $1 \mathrm{~km}$ southeast of $Z . \mathrm{W}$ is $1 \mathrm{~km}$ west of $Z . \mathrm{P}$ is $1 \mathrm{~km}$ south of $\mathrm{W}$. $\mathrm{Q}$ is $1 \mathrm{~km}$ east of $\mathrm{P}$. What is the distance between $\mathrm{X}$ and $\mathrm{Q}$ in $\mathrm{km}$ ? (A) 1 (B) $\sqrt{2}$ (C) $\sqrt{3}$ (D) 2

## Question ID - 1 :- $\mathrm{X}$ is $1 \mathrm{~km}$ northeast of $\mathrm{Y} . \mathrm{Y}$ is $1 \mathrm{~km}$ southeast of $Z . \mathrm{W}$ is $1 \mathrm{~km}$ west of $Z . \mathrm{P}$ is $1 \mathrm{~km}$ south of $\mathrm{W}$. $\mathrm{Q}$ is $1 \mathrm{~km}$ east of $\mathrm{P}$. What is the distance between $\mathrm{X}$ and $\mathrm{Q}$ in $\mathrm{km}$ ? (A) 1 (B) $\sqrt{2}$ (C) $\sqrt{3}$ (D) 2

3537

$\sqrt{3}$
$10 \%$ of the population in a town is $\mathrm{HIV}^{+}$. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV $^{+}$ individuals $95 \%$ of the time, and HIV ' individuals $89 \%$ of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is