Quant Question Of The Day: 90
Numbers
For how many values of natural number n, both the numbers 48n + 4 and 27n + 19 are perfect square?
(1) 0
(2) 1
(3) 2
(4) 3
(5) more than 3
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good information
By Những dòng bồn cầu thông minh ... , 1 month ago
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(2) 1.
What approach did you use ?
48n+4=a^2
27n+19=b^2.
n=(a^2-4)/48 = (b^2-19)/27.
16b^2-9a^2=268.
only one pair of (a,b) satisfies the given two equations.
(2) 1
only possible value is n=10