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If r, s, and w are positive numbers such that x = 60r + 80s and r + s = 1, is x < 70 ?
(1) r > 0.5
(2) r > s
I got this question correct by plugging-in numbers, but wanted to learn ALTERNATIVE APPROACHES to answer this.
Also what do you think the question is trying to test here ?
My approach:
Start with statement 1 -> let r = 0.6 and s must therefore be 0.4. Plug this back into 60r + 80s = 68. This answers YES to the question "is x < 70?".
Test with r=0.5 and s=0.5, we can see that x=70. So can safely say that if r>0.5 then x<70
Statement 2:
If r > s, then r must be greater than 0.5 (since r + s = 1). We can use the same logic as in statement 1 here. SUFFICIENT.
Answer D.
Thanks in advance.
II
(1) r > 0.5
(2) r > s
I got this question correct by plugging-in numbers, but wanted to learn ALTERNATIVE APPROACHES to answer this.
Also what do you think the question is trying to test here ?
My approach:
Start with statement 1 -> let r = 0.6 and s must therefore be 0.4. Plug this back into 60r + 80s = 68. This answers YES to the question "is x < 70?".
Test with r=0.5 and s=0.5, we can see that x=70. So can safely say that if r>0.5 then x<70
Statement 2:
If r > s, then r must be greater than 0.5 (since r + s = 1). We can use the same logic as in statement 1 here. SUFFICIENT.
Answer D.
Thanks in advance.
II
