Properties of Proportion. Geometric Mean

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4.4Properties of Proportion. Geometric Mean

Properties of Proportion. Geometric Mean Revision Questions

1. . What is the missing term in the proportion below?

18/x = 8/20
  1. 36
  2. 40
  3. 45
  4. 50

Correct Answer: C

2. . What is the missing term in the proportion below?

21/9 = 56/x
  1. 18
  2. 24
  3. 30
  4. 36

Correct Answer: B

3. . What are the missing terms x and y in the proportion below?

x:12:15 = 10:y:25
  1. x = 6; y = 15
  2. x = 8; y = 20
  3. x = 6; y = 20
  4. x = 3; y = 12

Correct Answer: C

4. . What is the result of a × b if a and b are terms of the following proportion?

a:6:15 = 4:8:b
  1. 3
  2. 20
  3. 45
  4. 60

Correct Answer: D

5. . What is the geometric mean of 5 and 20?

  1. 100
  2. 25
  3. 12.5
  4. 10

Correct Answer: D

6. .The geometric mean of 16 and m is 8. What is the value of m?

  1. 4
  2. 12
  3. 24
  4. 128

Correct Answer: A

7. .A cube having the side length equal to 6 inches is melted down to produce a rectangular container by dimensions 9 in × w in× 3 in, where w represents the width of the new container. What is the value of w in inches?

  1. 6 in
  2. 8 in
  3. 12 in
  4. 36 in

Correct Answer: B

8. .The equivalent resistance of a parallel combination of resistors is 8 ohms. What is the resistance of the second resistor if that of the first resistor is 6 ohms?

  1. 7 ohms
  2. √48 ohms
  3. 10 ohms
  4. 12 ohms

Correct Answer: D

9. .A rectangle has the dimensions 18 cm and 8 cm. What is the side length of a square, which has the same area with the given rectangle?

  1. 10 cm
  2. 12 cm
  3. 13 cm
  4. 16 cm

Correct Answer: B

10. . Two brothers are actually 12 and 17 years old respectively. After how many years the ratios of their ages will be 4:5?

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: D

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