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Which of the following ratios is nearly equal to the ratio 1 + √5 to 2 ?
A) 8 to 5
B) 6 to 5
C) 5 to 4
D) 2 to 1
E) 1 to 1
Just interested in finding out other (maybe) quicker approaches.
My approach here was that √5 was between 2 and 3 (since 2^2 =4 and 3^2 = 9). Since 4 is closer to 5, then √5 must must be closer to 2 than 3.
So √5 is approx 2.2
1+2.2 = 3.2
3.2:2 = 3.2 / 2 = 1.6
Go through each answer choice and get a decimal value. A (8/5) is closest to 1.6.
Any other approaches to solve this one ?
Thanks.
A) 8 to 5
B) 6 to 5
C) 5 to 4
D) 2 to 1
E) 1 to 1
Just interested in finding out other (maybe) quicker approaches.
My approach here was that √5 was between 2 and 3 (since 2^2 =4 and 3^2 = 9). Since 4 is closer to 5, then √5 must must be closer to 2 than 3.
So √5 is approx 2.2
1+2.2 = 3.2
3.2:2 = 3.2 / 2 = 1.6
Go through each answer choice and get a decimal value. A (8/5) is closest to 1.6.
Any other approaches to solve this one ?
Thanks.
