Multi-Source Reasoning - Dichotomous

For each of the following statements, select Yes if the statement is supported by the information provided. Otherwise, select No.

That's right!

Look at the Economic Data graph. The red line shows the annualized GDP growth from 1987 through 1992. You can use this to Ballpark the GDP growth rate in 1987 and 1988.

  • In 1987, the red line ranges from about 2% to about 5.5%. On average, it seems to be about 4%.

  • In 1988, the red line ranges from about 3% to about 7%, and the average is about 5%.

Use these values to estimate the country's GDP at the beginning of 1988 and 1989. In 1987, it starts at 500 billion, so if it grows by 4%, the new value is about

$$500 + 0.04(500) = 500 + 20 = 520$$. Thus, in 1988, it starts at 520 billion and increases by about 5%. The new value is $$520 + 0.05(520) = 520 + 26 = 546$$. This is much less than the 590 billion, so the statement is false.

Yes!

In the graph in the Company Market Capitalizations tab, estimate the market capitalizations of Companies A and C in 1987 Q1 to 1992 Q4.

  • Company A: The value goes from about 17 billion to about 31 billion.

  • Company C: It goes from about 41 billion to about 50 billion.

Notice that the market capitalization of Company A nearly doubles $$(2\cdot17=34)$$, so the percentage is almost 100%. For Company C, the market capitalization increases by less than one-fourth (one-fourth of 41 is about 10), or a little less than 25%.

Therefore, the statement is true; the market capitalization of Company A increased by a greater percentage than the market capitalization of Company C.

Incorrect.

In the graph in the Company Market Capitalizations tab, determine what happens to the market capitalization of each company from 1987 Q1 to 1991 Q1.

  • Company A: It increased from ~17 billion to ~23 billion.

  • Company B: It decreased from ~24 billion to ~8 billion.

  • Company C: It decreased from ~41 billion to ~31 billion.

  • Company D: It increased from ~15 billion to ~29 billion.

Therefore, the statement is false; two companies had a market capitalization that decreased from 1987 Q1 to 1991 Q1.

That is right!

In the graph in the Company Market Capitalizations tab, determine what happens to the market capitalization of each company from 1987 Q1 to 1991 Q1.

  • Company A: It increased from ~17 billion to ~23 billion.

  • Company B: It decreased from ~24 billion to ~8 billion.

  • Company C: It decreased from ~41 billion to ~31 billion.

  • Company D: It increased from ~15 billion to ~29 billion.

Therefore, the statement is false; two companies had a market capitalization that decreased from 1987 Q1 to 1991 Q1.

Incorrect.

Look at the Economic Data graph. The red line shows the annualized GDP growth from 1987 through 1992. You can use this to Ballpark the GDP growth rate in 1987 and 1988.

  • In 1987, the red line ranges from about 2% to about 5.5%. On average, it seems to be about 4%.

  • In 1988, the red line ranges from about 3% to about 7%, and the average is about 5%.

Use these value to estimate the country's GDP at the beginning of 1988 and 1989. In 1987, it starts at 500 billion, so if it grows by 4%, the new value is about

$$500 + 0.04(500) = 500 + 20 = 520$$. Thus, in 1988, it starts at 520 billion and increases by about 5%. The new value is $$520 + 0.05(520) = 520 + 26 = 546$$. This is much less than the 590 billion, so the statement is false.

Incorrect.

In the graph in the Company Market Capitalizations tab, estimate the market capitalizations of Companies A and C in 1987 Q1 to 1992 Q4.

  • Company A: The value goes from about 17 billion to about 31 billion.

  • Company C: It goes from about 41 billion to about 50 billion.

Notice that the market capitalization of Company A nearly doubles $$(2\cdot17=34)$$, so the percentage is almost 100%. For Company C, the market capitalization increases by less than one-fourth (one-fourth of 41 is about 10), or a little less than 25%.

Therefore, the statement is true; the market capitalization of Company A increased by a greater percentage than the market capitalization of Company C.

Yes
No
Yes
No
Yes
No

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