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CAT 2017 Number System — Previous Year Question

Year

CAT 2017

Section

Quantitative

Topic

Number System

Difficulty

Medium

Question

Slot-1

If N=(11p+7)(7q2)(5r+1)(3s)N=(11^{p+7})(7^{q-2})(5^{r+1})(3^s) is a perfect cube, where p,q,rp,q,r and ss are positive integers, then the smallest value of p+q+r+sp+q+r+s is:

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