If p =0.7197/(0.294)(0.739), then p satisfies which of the following i

Question

If  p =\frac{0.7197}{(0.294)(0.739)} , then p satisfies which of the following inequalities?

(A) 0 < x ≤ 1
(B) 1 < x ≤ 2
(C) 2 < x ≤ 3
(D) 3 < x ≤ 4
(E) 4 < x ≤ 5

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Bunuel · Accepted Answer

GMATNinja Video Solution:

https://www.youtube.com/watch?v=DfoK59HOI2s

paragw · Answer

Solve using approximations:

p = 0.7197 / (0.294)(0.739)
p = 0.71 / (0.3)(0.7)

It'll give us the range between 3 & 4
Hence,  D

PaperOak · Answer

In the video from GMATNinja, in Step 3, how does he justify multiplying the 0.29 by 10 but NOT multiplying 0.74 by 10 at the same time? He goes on to multiply .74 by 100. This makes his math correct but it was confusing to me.

Bunuel · Answer

Basically, steps 2, 3, and 4 are just used to transform the decimals into integers. This could have been done in several ways.

One way is the method shown in the video solution. Another way would be to multiply 0.3 and 0.74 by 10 and 100, respectively, so by 1,000 overall. This would give 3 * 74 in the denominator.

Then, to balance this, we would also need to multiply 0.72 by 1,000, which would give 720. Thus, we would get the same expression:

720/(3 * 74)

architkap · Answer

why cant I just multiply both top and bottom of .72/.3*.74 by 100 to get 72/30*74? Why is this wrong?

Bunuel · Answer

Because the denominator is a product of two decimals.

If you multiply the whole fraction by 100/100, you get:

72/(100 * 0.3 * 0.74)

and the denominator becomes 0.3 * 74, not 30 * 74.

To change both 0.3 and 0.74 into 30 and 74, you are effectively multiplying the denominator by 10 * 100 = 1000. So you must multiply the numerator by 1000 as well.

That would give:

720/(30 * 74)

not 72/(30 * 74).

If p =0.7197/(0.294)(0.739), then p satisfies which of the following i

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GMAT Problem Solving (PS) Questions

If p =0.7197/(0.294)(0.739), then p satisfies which of the following i

Prep Toolkit

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More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

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My Rewards