CAT Exam

exactly one of the following numbers cannot be written as a^3+b^3

a>700056
b>707713
c>7000639
d>7077283
e>7077915

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CAT Other Question

in a birthday party there are total 120 people present. among them some are boys and some are girls. all are dancing on the stage in a certain manner. if 1st boy is dancing with 7 girls, 2nd boy is dancing with 8 girls, 3rd boy is dancing with 9girls and so on. how many boys are present in the party How many integers between 1 and 1000 have exactly 27 positive divisors