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Aptitude Day 56


Problems on Numbers:

1. The product of 3 even consecutive numbers when divided by 5 is 335. The product of their square roots is:

Solution:
               Let the numbers be x, x+2 and x+4.
               x(x+2)(x+4) / 5 = 335
               x(x+2)(x+4) = 1675
               [ x(x+2)(x+4) ]1/2 = 5(67)1/2  

2. The sum of the three consecutive multiples of 5 is 375. What's the middle number?

Solution:
                Let the 3 numbers be 5x, 5(x+1), 5(x+2).
                5x+5(x+1)+5(x+2) = 375
                5x+5x+5+5x+10 = 375
                15x+15 = 375
                 15x = 360
                     x= 24.
                The middle number is 5(x+1) = 5(25) = 125.

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