Another approach - Write out few of the Numbers and check
S1: The Remainder of \(\frac{X}{16}= 2\)
This means X = 2, 18, 34...
Remainders when divided by 8 in all the cases = 2
Suff
S2: The Remainder of \(\frac{X}{24}= 10\)
This means X = 10, 34, 58...
Remainder when X is divided by 8 in all cases = 2
Suff
Final answer : D
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