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Q.

Find five rational numbers between

${"mathml":"<math class="image_resized" style="width:16px;height:36px"><span style="font-family:$ and ${"mathml":"<math class="image_resized" style="width:16px;height:36px"></p><br><pstyle="margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt"><spanstyle="font-family:$

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a

b

c

d

${"mathml":"<math class="image_resized" style="width:172px;height:36px"><span style="font-family:$

answer is A.

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Detailed Solution

Concept: In order to solve this issue, we must first determine the mean of the provided rational numbers. Continue by averaging the minimum of the provided rational numbers with the newly acquired rational number.
The average of the given rational numbers ${"mathml":"<math class="image_resized" style="width:16px;height:36px"><span style="font-family:$ and ${"mathml":"<math class="image_resized" style="width:16px;height:36px"><span style="font-family:$ is obtained as shown below.
[5]
${"mathml":"<math class="image_resized" style="width:206px;height:62px"><span style="font-family:$ We have repeat the process more 4 time to get five rational number of ${"mathml":"<math class="image_resized" style="width:16px;height:36px"><span style="font-family:$ and ${"mathml":"<math class="image_resized" style="width:16px;height:36px"><span style="font-family:$ Thus, the five rational numbers between
${"mathml":"<math class="image_resized" style="width:16px;height:36px"><span style="font-family:$ and ${"mathml":"<math class="image_resized" style="width:16px;height:36px"><span style="font-family:$ are ${"mathml":"<math class="image_resized" style="width:111px;height:36px"><span style="font-family:$ and ${"mathml":"<math class="image_resized" style="width:32px;height:36px"><span style="font-family:$ Hence, the correct answer is option 1.

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Find five rational numbers between and