X > 3000, then the value of X / 2X +1 is closest to
Assumption: X / 2X +1 = X /(2X +1)
The value of X / (2X +1) is less than 1 and close to 1/2. So, we can eliminate Option A, B, and E. 10/21 is close to 1/2. So we got to choose between 10/21 and 1/2.
a)1/6 - Eliminated
b)1/3 - Eliminated
c)10/21
d)1/2
e)3/2 - Eliminated.
Let Answer = 10/21. Multiply numerator and denominator with 400, Answer = 4000/8400
Let Answer = 1/2. Multiply numerator and denominator with 4000, Answer = 4000/8000
If x = 4000, X / (2X +1) = 4000/8001, which is closer to 4000/8000 than it is to 4000/8400.
So, D is the answer.
Last edited by
neelgandham on Thu Dec 29, 2011 2:05 pm, edited 1 time in total.