state gov AP Police SI (Pre+Mains) Mock Test 2022 Quantitative Aptitude Number System Integers

If (1/51) + (1/52) + (1/53) _______ (1/510) = 1/k, then what is the value of k?

1
3/ (3 - 1/5100)
2
4/ (1 - 1/510)
3
4/ (5 - 1/410)
4
7/ (1 - 1/9100)
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