Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

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Unit 4 Brain Teaser | DAV SOLUTIONS CLASS 8 Secondary Mathematics 

Q1A. Tick the correct option.

(i) Both x and y are in direct proportion, then 1/x and 1/y are

(a) in direct proportion (b) in inverse proportion

(c) neither indirect nor inverse proportion (d) sometimes indirect and sometimes in inverse proportion

(ii) If two quantities x and y vary inversely with each other, then

(a) x/y remains constant. (b) (x—y) remains constant

(c) (x+ y) remains constant (d) (xy) remains constant

(iii) Both p and q vary directly with each other, When p is 10 and q is 15. which of the following is not a possible pair of corresponding values of p and q?

(a) 15 and 20 (b) 20 and 30 (c) 2 and 3 (d) 5 and 7.5

(iv) If x and y vary directly with each other and x = 24, what is y when constant of variation is 3?
(a) 21 (b) 1/8 (c) 8 (d) 27

(v) Which of the quantities vary inversely with each other?

(a) Distance travelled and cab fare. (b) Area of a land and its cost.

(c) Number of workers and amount of work done. (d) Number of workers and time taken to finish a job.

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

Q1B. Answer the following questions.
(i) l varies directly as m and l is equal to 5, when m = 2/3. Find l when m = 16/3

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

(ii) A bowler throws a cricket ball at a speed of 36 km/hr. How long does this ball take to travel a distance of 20 metres to reach the batsman?

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

(iii) Sweets from a packet were distributed among 50 children and each of them received four sweets. If it is distributed among 40 children, how many sweets will each child get.

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

(iv) If y is directly proportional to 1/x and x = 2 when y = 20, what is the value of x when y = 1.25?

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

(v) If l is inversely proportional to √m and l = 6 when m = 4. What is the value of m when l = 4?

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

2. Determine from the values of x and y given below whether they vary directly, inversely or in neither of these ways

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics
Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics
Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

3. If x and y vary inversely and x = 25, when y = 3. Find y, when x = 15.

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

4. If x and y vary inversely and y = 45. Find x when constant of variation = 9.

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

5. Oranges cost 27 for 3 dozens in the super market. What is the cost of 8 oranges?

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

6. A car travels 60 km in 1 hr 30 min. How long will it take to cover a distance of 100 kin at the same speed?

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

7. The extension of an elastic spring is found to vary directly with the weight suspended from it. If a weight of 75 kg produces an extension of 1.4 cm, calculate the weight that would produce an extension of 9.8 cm?

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

8. In 25 days, the earth picks up 6 x 10^8 pounds of dust from the atmosphere. How much dust will it pick up in 15 days?

Chapter 4 | Direct And Inverse Variation | Class-8 DAV Secondary Mathematics

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