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Q.

Express 36 as a sum of two odd prime numbers.


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a

5,31,7,29,  13,23, (17,19)

b

5,31, 7,25, 8,27, 27,29

c

16,7, 7,29, 13,23, (17,29)

d

5,31, 7,29, 8,23, (17,29) 

answer is A.

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Detailed Solution

Concept- Prime number: those numbers who is divisible by one and the number itself
Prime numbers between 1 and 36 = 2,3,5,7,11,17,19,23,29,31
Odd prime numbers between 1 and 36 = 3,5,7,11,13,17,19,23,29,31
we will subtract each of these odd prime numbers from 36 and check whether the difference is an odd prime number or not,
36-3=33
33 is not a prime number,
36-5=31
31 is a prime number so, (5,31)
36-7=29
26 is a prime number, so the pair is (7,29)
36-13=23
23 is a prime number, so the pair is (13,23)
36-17=19
19 is a prime number, so the pair is (17,19)
Hence, the correct option is 1.
 
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