jee-main 2025 Q90

jee-main · India · session2_04apr_shift2 Hypergeometric Distribution
Q90. From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable X denote the number of defective items in the sample. Let items in the sample be drawn one by one without replacement. If variance of $X$ is $\frac { m } { n }$, where $\operatorname { gcd } ( m , n ) = 1$, then $n - m$ is equal to $\_\_\_\_$ t
ANSWER KEYS

\begin{tabular}{|l|l|l|l|} \hline 1. (2) & 2. (1) & 3. (3) & 4. (2) \hline 9. (2) & 10. (2) & 11. (4) & 12. (4) \hline 17. (3) & 18. (2) & 19. (3) & 20. (3) \hline 25. (93) & 26. (160) & 27. (100) & 28. (10) \hline 33. (3) & 34. (2) & 35. (2) & 36. (3) \hline 41. (4) & 42. (3) & 43. (1) & 44. (3) \hline
Q90. From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable X denote the number of defective items in the sample. Let items in the sample be drawn one by one without replacement. If variance of $X$ is $\frac { m } { n }$, where $\operatorname { gcd } ( m , n ) = 1$, then $n - m$ is equal to $\_\_\_\_$ t

\section*{ANSWER KEYS}
\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
1. (2) & 2. (1) & 3. (3) & 4. (2) \\
\hline
9. (2) & 10. (2) & 11. (4) & 12. (4) \\
\hline
17. (3) & 18. (2) & 19. (3) & 20. (3) \\
\hline
25. (93) & 26. (160) & 27. (100) & 28. (10) \\
\hline
33. (3) & 34. (2) & 35. (2) & 36. (3) \\
\hline
41. (4) & 42. (3) & 43. (1) & 44. (3) \\
\hline