Chapter 3 Variations Math 10th Class Punjab MCQ Tests
10th Class Math Chapter 3 MCQ Tests
Chapter 3 of 10th Class Math has 20 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 20
Total Marks: 20
Time: 20 Mins
Total Questions: 20
Total Marks: 20
Time: 20 Mins
20Min : 00 Sec Remaining
Question # 1
If 6 : 10 = 9 : 15 , then by Componendo theorem we get _____.
Question # 2
Clothing store A sells T-shirts in only three colors: red, blue and green. The colors are in the ratio of 3 to 4 to 5 . If the store has 20 blue T-shirts, how many T-shirts does it have altogether?
Question # 3
which of the following relation holds?
Question # 4
The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 12 feet and a base with area of 23 square feet has a volume of 92 cubic feet. Find the volume of a pyramid with a height of 17 feet and a base with an area of 27 square feet.
Question # 5
For a given interest rate, simple interest varies jointly as principal and time. If $ 2000 left in an account for 4 years earns interest of $ 320 , how much interest would be earned in if you deposit $ 5000 for 7 years?
Question # 6
If a : b = d : c , then by invertendo theorem we get _____.
Question # 7
If f varies jointly as g and the cube of h and f = 200 when g = 5 and h = 4 , find f when g = 3 and h = 6.
Question # 8
If a varies jointly as b and the square root of c and a = 21 when b = 5 and c = 36 , find a when b = 9 and c = 225.
Question # 9
A building casts a 103 f t shadow at the same time that a 32 f t flag-pole casts as 34.5 f t shadow. How tall is the building?
Question # 10
Which of the following is the third proportional of 36 and 12?
Question # 11
The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters.
Question # 12
A special cereal mixture contains rice, wheat and corn in the ratio of 2 : 3 : 5 . If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?
Question # 13
Classify the type of variation: The amount of money needed to do laundry at college and the amount of times a person changes the clothes.
Question # 14
Which of the following is the third proportional to 2.5 g and 3.5 g?
Question # 15
If 7 : 3 = 14 : 6 , then by componendo-dividendo theorem we get _____.
Question # 16
A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long?
Question # 17
A stackable CD rack holds 25 CDs and costs $ 4 . Charlie has a collection of 150 CDs. How much will it cost him to buy enough racks to hold all of his CDs?
Question # 18
Wind resistance varies jointly as an object\'s surface area and velocity. If an object traveling at 40 mile per hour with a surface area of 25 square feet experiences a wind resistance of 225 Newton\'s, how fast must a car with 40 square feet of surface area travel in order to experience a wind resistance of 270 Newton\'s?
Question # 19
A fence post in Tina\'s garden is 4 feet tall. When she measured the fence post\'s shadow, she found that it was 12 feet long. A tree in Tina\'s yard had a shadow of 72 feet. How tall is the tree?
Question # 20
If a : b = d : c , then by Dividendo theorem we get _____.
Total Questions
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Question # 1
If 6 : 10 = 9 : 15 , then by Componendo theorem we get _____.
Question # 2
Clothing store A sells T-shirts in only three colors: red, blue and green. The colors are in the ratio of 3 to 4 to 5 . If the store has 20 blue T-shirts, how many T-shirts does it have altogether?
Question # 3
which of the following relation holds?
Question # 4
The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 12 feet and a base with area of 23 square feet has a volume of 92 cubic feet. Find the volume of a pyramid with a height of 17 feet and a base with an area of 27 square feet.
Question # 5
For a given interest rate, simple interest varies jointly as principal and time. If $ 2000 left in an account for 4 years earns interest of $ 320 , how much interest would be earned in if you deposit $ 5000 for 7 years?
Question # 6
If a : b = d : c , then by invertendo theorem we get _____.
Question # 7
If f varies jointly as g and the cube of h and f = 200 when g = 5 and h = 4 , find f when g = 3 and h = 6.
Question # 8
If a varies jointly as b and the square root of c and a = 21 when b = 5 and c = 36 , find a when b = 9 and c = 225.
Question # 9
A building casts a 103 f t shadow at the same time that a 32 f t flag-pole casts as 34.5 f t shadow. How tall is the building?
Question # 10
Which of the following is the third proportional of 36 and 12?
Question # 11
The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters.
Question # 12
A special cereal mixture contains rice, wheat and corn in the ratio of 2 : 3 : 5 . If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?
Question # 13
Classify the type of variation: The amount of money needed to do laundry at college and the amount of times a person changes the clothes.
Question # 14
Which of the following is the third proportional to 2.5 g and 3.5 g?
Question # 15
If 7 : 3 = 14 : 6 , then by componendo-dividendo theorem we get _____.
Question # 16
A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long?
Question # 17
A stackable CD rack holds 25 CDs and costs $ 4 . Charlie has a collection of 150 CDs. How much will it cost him to buy enough racks to hold all of his CDs?
Question # 18
Wind resistance varies jointly as an object\'s surface area and velocity. If an object traveling at 40 mile per hour with a surface area of 25 square feet experiences a wind resistance of 225 Newton\'s, how fast must a car with 40 square feet of surface area travel in order to experience a wind resistance of 270 Newton\'s?
Question # 19
A fence post in Tina\'s garden is 4 feet tall. When she measured the fence post\'s shadow, she found that it was 12 feet long. A tree in Tina\'s yard had a shadow of 72 feet. How tall is the tree?
Question # 20
If a : b = d : c , then by Dividendo theorem we get _____.
Total Questions
1234567891011121314151617181920
Math MCQ Test by Topics
- +3.1 Ratio, Proportions and Variations
- +3.1 (i) Define (a) ratio, (b) proportion and (c) variations (direct and inverse)
- +3.1 (i) Direct Variation
- +3.1 (ii) Inverse Variation
- +3.1 (ii) Find 3rd, 4th, mean and continued proportion:
- +3.2 Theorems
- +3.4 K-method
- +3.4 (ii) Real life problems based on variation
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