beatgmat wrote:

I came across this question and thought of posting it for Fraction lovers! or not

Which of the following represents the greatest value

1. Sqrt ( 2)/ Sqrt (3) + Sqrt (3)/ Sqrt(4) + Sqrt( 4)/ Sqrt(5) + Sqrt (5)/ Sqrt(6)

2. 2/3 + 4/5 + 3/4 + 4/5 + 5/6

3. (2^2 / 3 ^2)+ (3 ^ 2 / 4 ^2) + (4^2 / 5^2) + (5^2/6^2)

4. 1- (1/3) + (4/5) - (3/4)

5. 1- (3/4) + (4/5) + (1/3)

Its A.

Observe that all fractions are less than 1.

I guess the best way to solve this is start comparing the first two and start eliminating the lower.

So between A and B , A is bigger as its the square root of fractions. Between A and C , C is small because sqaures of fractions will be smaller.

Now B is bigger than D and E. And B is smaller than A .

So A .