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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.
 
  • a)
    2,284
  • b)
    2,304
  • c)
    2,602
     
  • d)
    3,072
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A number lies between the cubes of 13 and 14. If the number is divisib...
⟹ (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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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.a)2,284b)2,304c)2,602d)3,072Correct answer is option 'B'. Can you explain this answer?
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