2 votes 2 votes $ \large \frac{289\times 144^{25}}{71^{71}}$ What is the remainder? Quantitative Aptitude quantitative-aptitude + – radhika khandelwal asked Dec 1, 2016 • edited Dec 1, 2016 by Lokesh . radhika khandelwal 438 views answer comment Share Follow See 1 comment See all 1 1 comment reply sudoankit commented Dec 2, 2016 i edited by sudoankit Dec 3, 2016 reply Follow Share Are you sure it's $71^{71}$ ? If it is, then the numerator is smaller than the denominator. So the remainder is $$289 \times 144^{25}$$ ${289 \times 144^{25}} \approx 2.6 \times 10^{56} < 2.8 \times 10^{131} \approx 71^{71}$ 4 votes 4 votes Please log in or register to add a comment.