Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y
(a) 12 and 5
(b) 15 and 4
(c) 25 and 2.4
(d) 45 and 1.3

Solution:

As per the given problem statement:

x 1/y

xy = k

Where k is positive and called the proportionality constant

k = 10 × 6 = 60

From the alternatives given the values of x and y which give k ≠ 60 is/are

x = 45 and v = 1.3

Hence the correct answer is (d).

✦ Try This: Both x and y vary inversely with each other. When x is 16, y is 5, which of the following is not a possible pair of corresponding values of x and y? (a) 10 and 8, (b) 4 and 20, (c) 15 and 9, (d) 40 and 2

As per the given problem statement:

x 1/y

xy = k

Where k is positive and called the proportionality constant

k = 16 × 5 = 80

From the alternatives given the values of x and y which give k ≠ 80 is/are

x = 15 and y = 9

Hence the correct answer is (c).

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

NCERT Exemplar Class 8 Maths Chapter 10 Problem 2

Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y (a) 12 and 5, (b) 15 and 4, (c) 25 and 2.4, (d) 45 and 1.3

Summary:

Both x and y vary inversely with each other. When x is 16, y is 5, the pair that does not  correspond to values of x and y are x = 15 and x = 9. Answer is (c)

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