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Q.

Express the following number as the sum of three odd prime numbers.


61


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a

11+19+31 and 11+13+37

b

15+23+31 and 13+15+37

c

9+19+29 and 9+17+37

d

None 

answer is A.

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Detailed Solution

Prime numbers are those number which can be divisible by only 1 or itself. Here no other number than 1 and itself can divide the prime numbers.
Here, the prime numbers which is less than or equal to 61 are,
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61
In these number 3 odd prime numbers whose addition = 61 are,
11, 19, 31 and 11, 13 and 37.
Since,
11+19+31=6111+13+37=61
This is the reqreuied expression.
Option 1 is correct.
 
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