1. How does your score in a test varies to its equivalent in percent? a. directly b. indirectly c. inversely d. jointly 2. Which of the following represents: “y varies inversely to x” ? a. y = kx b. y =k/xc. x = ky d. x = k/y 3. If y varies directly to x what happens to y when x is doubled? a. doubled b. halved c. quadrupled d. remains the same

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Let’s find out if you have some idea of what this module is all about. Write the
letter that you think is the best answer to each question on a sheet of paper. Answer all
items. After checking this short test, take note of the items that you were not able to
answer correctly and look for the right answer as you go through this module.

1. How does your score in a test varies to its equivalent in percent?
a. directly b. indirectly c. inversely d. jointly

2. Which of the following represents: “y varies inversely to x” ?
a. y = kx b. y =k/xc. x = ky d. x = k/y

3. If y varies directly to x what happens to y when x is doubled?
a. doubled b. halved c. quadrupled d. remains the same


4. Which of the following situations illustrates a joint variation?
a. The heat required to melt a substance to its mass
b. The perimeter of a square to its side
c. The speed of the boat per hour to the amount of diesel
d. The volume of a rectangular box to its length, width, and height

5. Which of the following illustrates combined variation?
a. y = kwx b. y= k/wx
c. y =kx/w d. k = xyw

6. In the formula , P = 4s, what happens to P when s is doubled?

a. P is halved  c. P is tripled
b. P is doubled  d. P is quadrupled

7. Three men can do a portion of a job in 8 days. If the number of men increases, what
will be the effect in the number of days to finish the same job?

a. increases b. decreases c. doubled d. remains the same

8. In the area of a rectangle, the length and width are inversely related.Which of the following statements explains this relationship?

a. As the length increases, the width also increases.
b. As the length increases, the width decreases.
c. As the length and width increase, the area also increases.
d. As the length and width increase, the area decreases.

9. The speed, s, of a moving object varies directly to the distance traveled, d, and varies
inversely to the time taken, t. What kind of variation illustrates this statement?
a. direct b. inverse c. joint d. combined

10. Using the statement in no. 9, which of the following relationships is true?
a. The shorter the time, the faster the speed.
b. The longer the time, the faster the speed.
c. The longer the distance, the slower the speed.
d. The shorter the distance, the faster the speed.

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