Question
A number lies between the cubes of 13 and 14. If the
number is divisible by 6 as well as square of 16. Find the number.Solution
⟹ (13)³ =2,197 ⟹ (14)³= 2,744 ⟹ (16)²= 256 Given, that the number lies between 2,197 and 2,744 and also divisible by both 6 and 256. LCM of 256 and 6 = 768, If we divide 2,197 by 768, we get 2.860. ∴ 768 x 3 = 2,304 ∴ The number = 2,304
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