Question

If 3^x is a factor of ∠100, then the greatest +ve integral value of x.

• A. 44
• B. 38
• C. 33
• D. 48

Answer 1

Answer: (D)

48

Answer 2

x = $\left\lbrack \frac{100}{3} \right\rbrack + \left\lbrack \frac{100}{9} \right\rbrack + \left\lbrack \frac{100}{27} \right\rbrack + \left\lbrack \frac{100}{81} \right\rbrack$ = 33 + 11 + 3 + 1

= 48.