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The average of three prime numbers lying between 47 and 74 is 191/3. Find the greatest possible sum between any two out of these 3 prime numbers.

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120

138

132

136

answer is C.

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Detailed Solution

Given,
The prime number lying between = 47 & 74
Between 47 and 74 prime number are = 53, 59, 61, 67, 71, 73
Average of three numbers from these 6 numbers is 191/3. For this their sum must be equal to 191.
Here, the sum of 3 prime number

59 + 61 + 71 = 191

Here, 61 and 71 will give greatest sum.
So, greatest possible sum between two number

71 + 61 = 132

Correct option is 3.

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