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Aptitude Day 44


Problems on Numbers:

 1. The sum of the number and its reciprocal is 122/11. What's the square value of that number?

Solution:
               Let the number be x.
               x+(1/x) = 122/11
               x2+11-122x=0
               (x-11)(11x-1)=0
               x=11.
The square value of that number is 121.

2. Find the positive number which when increased by 6 is equal to 55 times of its reciprocal of that number.

Solution:
               Let the number be x.
               x+6 = 55/x
               x2+6x-55=0
               (x-5)(x+11)=0
               x=5.
The positive number is 5.

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