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syllabus of railway ntpc 2019

Find the number of real values of ‘k’ which satisfy the equation 5{k} + 4k = 6[k] + 3, where [k] is the greatest integer less than or equal to k and {k} is the fractional part of k.

Sin2014x + Cos2014x = 1, x in the range of [-5π, 5π], how many values can x take?

I won't be able to solve questions of quants. can you help me please how I can solve my problem of quants

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