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.