If \(0.497\) mark has the value of one dollar, what is the value to the nearest dollar of \(350\) marks?

[Gmat_mission]

If \(0.497\) mark has the value of one dollar, what is the value to the nearest dollar of \(350\) marks?

A. \(\$174\)
B. \(\$176\)
C. \(\$524\)
D. \(\$696\)
E. \(\$704\)

Answer: E

Source: Official Guide

[Scott@TargetTestPrep]

If \(0.497\) mark has the value of one dollar, what is the value to the nearest dollar of \(350\) marks?

A. \(\$174\)
B. \(\$176\)
C. \(\$524\)
D. \(\$696\)
E. \(\$704\)

Answer: E

Source: Official Guide

Solution:

The value of 350 marks in dollars is 350/0.497, which is approximately 350/0.5 = 700. Since 0.497 is slightly less than 0.5, 350/0.497 should be slightly greater than 350/0.5 = 700. Therefore, the correct answer is $704.

Answer: E

[swerve]

If \(0.497\) mark has the value of one dollar, what is the value to the nearest dollar of \(350\) marks?

A. \(\$174\)
B. \(\$176\)
C. \(\$524\)
D. \(\$696\)
E. \(\$704\)

Answer: E

Source: Official Guide

Consider this:
\(0.497\) marks \(= \$1\);

\(0.5\) marks \(=\) more than \(\$1\);

\(0.5\cdot 700=350\) marks \(=\) more than \(\$1\cdot 700= \$700\).

Therefore, the correct answer is E

[Brent@GMATPrepNow]

If \(0.497\) mark has the value of one dollar, what is the value to the nearest dollar of \(350\) marks?

A. \(\$174\)
B. \(\$176\)
C. \(\$524\)
D. \(\$696\)
E. \(\$704\)

Answer: E

Source: Official Guide

Since we are comparing marks with dollars, can solve the question using equivalent ratios

We'll use the ratio marks/dollars

Let x = the number of dollars equivalent to 350 marks

We can write: 0.497/1 = 350/x
Cross multiply to get: 0.497x = 350
Solve:x = 350/0.497

Important: Do NOT use long division to evaluate 350/0.497 (the test-makers do not care about your ability to be a human calculator)

Notice that 350/0.5 = 700
Since 0.497 is a little bit less than 0.5, we can conclude that 350/0.497 is a little bit bigger than 700

Answer: E