Day 479: MHT-CET Maths

1. A.
   5
2. B.
   6
3. C.
   11
4. D.
   not possible.

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1. A.
   $\begin{array}{c|cccc} X & 1 & 2 & 3 & 4 \\ \hline P(X = x) & \frac{1}{8} & \frac{1}{8} & \frac{1}{2} & \frac{1}{4} \end{array}$
2. B.
   $\begin{array}{c|cccc} X & 1 & 2 & 3 & 4 \\ \hline P(X = x) & \frac{1}{4} & \frac{1}{2} & \frac{1}{8} & \frac{1}{8} \end{array}$
3. C.
   $\begin{array}{c|cccc} X & 1 & 2 & 3 & 4 \\ \hline P(X = x) & \frac{1}{8} & \frac{1}{4} & \frac{1}{8} & \frac{1}{2} \end{array}$
4. D.
   $\begin{array}{c|cccc} X & 1 & 2 & 3 & 4 \\ \hline P(X = x) & \frac{1}{2} & \frac{1}{4} & \frac{1}{8} & \frac{1}{8} \end{array}$

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1. A.
   275
2. B.
   510
3. C.
   219
4. D.
   256

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1. A.
   $\left( \frac{9}{2},23 \right)$
2. B.
   $\left( 9,\frac{23}{2} \right)$
3. C.
   $\left( 7,\frac{21}{2} \right)$
4. D.
   $\left( \frac{7}{2},21 \right)$

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1. A.
   $\dfrac{1}{\sqrt{2}}$
2. B.
   $\dfrac{1}{2}$
3. C.
   $\dfrac{\sqrt{3}}{2}$
4. D.
   $1$

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