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value for n + p

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value for n + p

by sanju09 » Fri Jul 23, 2010 2:37 am
n and p are integers greater than 1
5n is the square of a number
75np is the cube of a number.
The smallest value for n + p is
A. 14
B. 18
C. 20
D. 30
E. 50

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by selango » Fri Jul 23, 2010 2:51 am
Small value for n and p

5n=x^2;n=5

75np=5*5*3*n*p=x^3;n=5,p=9

n+p=14

Pick A
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by taneja.niks » Fri Jul 23, 2010 2:53 am
For 5n to be least and a square of a number n=5 (check with the multiples of 5)

now n=5

75np = cube of a number
n=5
factors of 75*5 = 3,5,5,5
now to complete the cude we need to have two more 3
so tht it becomes 3*3*3*5*5*5 or cube of 15 so required number p=9

n+p=5+9 =14

Hence pick A
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