Question:
If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
Updated On: Sep 26, 2024
- 1777
- 1785
- 1875
- 1877
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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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