Match each of the entries in Column I with the appropriate entry in Column II
Column I Column II
1. x and y vary inversely to each other A. x/y = Constant
2. Mathematical representation of inverse variation of quantities p and q B. y will increase in proportion
3. Mathematical representation of direct variation of quantities m and n C. xy = Constant
4. When x = 5, y = 2.5 and when y = 5, x = 10 D. p ∝ 1/q
5. When x = 10, y = 5 and when x = 20, y = 2.5 E. y will decrease in proportion
6. x and y vary directly with each other F. x and y are directly proportional
7. If x and y vary inversely then on decreasing x G. m ∝ n
8. If x and y vary directly then on decreasing x H. x and y vary inversely
I. p ∝ q
J. m ∝ 1/n

Solution:

Column I                                                  Column II

1. x and y vary inversely to each other    xy = Constant

2. Mathematical representation of inverse variation of quantities p and q  p ∝ 1/q

3. Mathematical representation of direct variation of quantities m and n  m ∝ n

4. When x = 5, y = 2.5 and when y = 5, x = 10  x and y are directly proportional

5. When x = 10 , y = 5 and when x = 20, y = 2.5  x and y vary inversely

6. x and y vary directly with each other  x/y = Constant

7. If x and y vary inversely then on decreasing x y will increase in proportion

8. If x and y vary directly then on decreasing x  y will decrease in proportion

Therefore, column I and column II are matched above.

✦ Try This: A packet of sweets was distributed among 20 children and each of them received 3 sweets. If it is distributed among 8 children, how many sweets will each child get?

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 91

Match each of the entries in Column I with the appropriate entry in Column II Column I Column II 1. x and y vary inversely to each other A. x/y = Constant 2. Mathematical representation of inverse B. y will increase in proportion variation of quantities p and q 3. Mathematical representation of direct variation of quantities m and n C. xy = Constant 4. When x = 5, y = 2.5 and when y = 5, x = 10 D. p ∝ 1/q 5. When x = 10 , y = 5 and when x = 20, y = 2.5 E. y will decrease in proportion 6. x and y vary directly with each other F. x and y are directly proportional 7. If x and y vary inversely then on decreasing x G. m ∝ n 8. If x and y vary directly then on decreasing x H. x and y vary inversely I. p ∝ q J. m ∝ 1/n

Summary:

Each of the entries in Column I is matched with the appropriate entry in Column II

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