Home Maths Inequations & Inequalities Miscellaneous Equation and Inequation If and denotes the greatest integer less t…
Maths Inequations & Inequalities Miscellaneous Equation and Inequation Numeric Response
Published on: August 13, 2026

If and denotes the greatest integer less than or equal to , then the number of possible values of satisfying

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The correct answer is:
33

(33)

We have,

are all integers

is a multiple of the LCM of .

is a multiple of 30 .

Also, .

or,

Hence, there are 33 values of .

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