Question:
Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y?
(a) 25 and 35
(b) 35 and 25
(c) 35 and 49
(d) 15 and 21
Solution:
(b) 35 and 25
Explanation: x and y are directly proportional.
x ∝ y
If x = 10 and y = 14, then;
10 ∝ 14 or 5 ∝ 7
Now, if we compare,
(a) 25 ∝ 35 = 5∝7
(b) 35 ∝ 25 = 7 ∝ 5
(c) 35 ∝ 49 = 5 ∝ 7
(d) 15 ∝ 21 = 5 ∝ 7
Therefore, option (b) is not a possible pair of corresponding values of x and y.
In questions 17 to 42, fill in the blanks to make the statements true: