Direct Variation and Ratio Quiz

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Questions and Answers

In the given text, what is the definition of a ratio?

  • A comparison of two quantities with different units
  • A comparison of two quantities with the same units and same type (correct)
  • A statement of equality of two ratios of different types and different units
  • A statement of equality of two ratios of the same type and same unit

If y varies directly as x, which equation represents this relationship?

  • $y = k/x$
  • $y = k + x$
  • $y = k - x$
  • $y = kx$ (correct)

If the ratio 3:12 is simplified, what is the result?

  • 2:6
  • 4:1
  • 1:4 (correct)
  • 3:12

What is the total amount when Rs 5070 is divided among three persons in the ratio 2:5:6?

<p>Rs. 5070 (D)</p> Signup and view all the answers

What does it mean if four quantities a, b, c, d are in proportion?

<p>$ad = bc$ (C)</p> Signup and view all the answers

If a−b, a−b, a+ab+b, and x are in proportion, what can be concluded?

<p>$a−b\neq a+ab+b$ (D)</p> Signup and view all the answers

What is the value of y when x = 11 in the given direct variation equation y = kx?

<p>99 (C)</p> Signup and view all the answers

If y varies directly as x, and y = 27 when x = 3, what is the constant of variation (k) in the direct variation equation y = kx?

<p>9 (A)</p> Signup and view all the answers

What is the value of y when x = 8 in the given direct variation equation y = kx, if k = 3/2?

<p>15 (A)</p> Signup and view all the answers

In inverse variation, if y = k/x, and y = 6 when x = 4, what is the constant of variation (k)?

<p>8.5 (D)</p> Signup and view all the answers

If 11 : (x - 1) = 22 : 27, what is the value of x?

<p>29 (C)</p> Signup and view all the answers

In the direct variation equation y = kx, if y = 7.5 when x = 15, what is the value of k?

<p>0.75 (D)</p> Signup and view all the answers

Inverse variation is represented by which equation?

<p>$y = \frac{k}{x}$ (B)</p> Signup and view all the answers

When y=49 and x=7 in a direct variation equation, what is the value of k?

<p>49 (B)</p> Signup and view all the answers

When pressure (P) varies inversely with volume (V), and P = 10 N/m2 when V = 25m3, what is the value of P when V = 20m3?

<p>-100 N/m2 (B)</p> Signup and view all the answers

Which equation represents inverse variation?

<p>$y=\frac{k}{x}$ (A)</p> Signup and view all the answers

In the direct variation equation $y=kx$, what does $k$ represent?

<p>The constant of variation (C)</p> Signup and view all the answers

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