If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
- 1777
- 1785
- 1875
- 1877
The Correct Option is D
Solution and Explanation
The correct answer is (D):
Given, (n – 1) (n) (n + 1) = 15600
As 15600 has 2 zeroes in it, one of n – 1, n or n + 1 should be a multiple of 25.
Dividing 15600 by 25, we get 624, but 624 = 24*26 so, the numbers are 24, 25 and 26
242 + 252 + 262 = 1877
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