Guide 6 Chap 8 page 150

[kpkanupriyakhmi]

Q 3 (DI Question)
Which of the following statements can be inferred......

[tommywallach]

Apologies, KP, but I don't have a question 3 on that page that begins that way. Did you get the book wrong? Are you using an older edition of our books? I only have the 4th edition (most recent). You'll have to type out the whole question if you'd like an answer. Also, in the future, please DO type out the whole question, because the forums can't be useful to anyone else unless the whole question is posted.

Also, please say where you got stuck, and don't just ask about the question generally. Thanks!

-t

[kpkanupriyakhmi]

The Q includes diagram i.e. graph:-
The Q is in Guide QC and DI; chapter DI problem set; A very challenging Example,Q3:-
Which of the following can be inferred from the info given?
A) For all the time periods shown, borate production, in millions of 2005 dollars, was the same.
B)Of the time periods shown 1981-1985 was the one in which the mining industries produced the greatest value of gold and silver measured in 2005 dollars.
C)Of the time periods shown 2001-2005 had the highest average annual GDP, measured in 2005 dollars.

[tommywallach]

Hey Kp,

I would continue to encourage you not to simply post a question, but to EXPLAIN where it became difficult for you. The current type of question won't help you very much, because all I'll be doing is providing another version of the explanation already in the book. Instead, we should have a conversation about where you got stuck. I doubt you struggled with all three of these, right?

(A) We know the percent is the same every time, but this would NOT make the resultant amount the same, as the given annual totals are not equal. For example, 1981-1985 is 15% of 342.5, while 1986-1990 is 15% of 326.8. So we can't infer this.

(B) This can be done with ballparking.

1981-1985 Gold and Silver is 20% of 342.5
1986-1990 is a smaller percent of a smaller total
1991-1995 is an EQUAL percent of a smaller total
1996-2000 is a larger percent of a MUCH smaller total
2001-2005 is a larger percent of a MUCH smaller total

So yes, we can infer this.

(C) This is the toughest one, requiring both chart/graphs. From the second chart, we need the Mining totals.

1981-1985 342.5
1986-1990 326.8
1991-1995 310
1996-2000 257.9
2001-2005 205

From the first chart, we need to add up the percents for all columns except forestry and fisheries (because ALL the other columns constitute MINING as a category):

1981 4.5 + 1.5 + 1.5 + 2 = 9.5
1986 6 + 2 + 3 + 4.5 = 15.5
1991 9 + 3 + 3 + 4 = 19
1996 9 + 3 + 3 + 3.5 = 18.5
2001 10.5 + 3 + 3.5 + 3.5 + 3 = 23

Finally we can now solve out. These percentages we just found are the percent that mining represents of total GDP:

1981-1985 .095 * GDP = 342.5 ROUND --> 10% --> 3420
1986-1990 .155 * GDP = 326.8 ROUND --> 15% --> 33 + 16 = 5000
1991-1995 .19 * GDP = 310 ROUND --> 20% --> 1500
1996-2000 .185 * GDP = 257.9 ROUND --> 20% --> 1250
2001-2005 .23 * GDP = 205 ROUND --> 25% --> 800

The highest was 1986-1990, so statement 3 is false. Keep in mind, there are many easier ways to ballpark this without checking all five, but this is the central math. Now, in the future, please ask more detailed questions!

-t