Question

Both u and v vary directly with each other . When u is 10 v is 15, Which of the

following is not a possible pair of corresponding values of u and v?

a. 2 and 3 b. 8 and 12 c. 15 and 20​

Answer 1

Answer: iii. 15 and 20

Step-by-step explanation:

Given, u and v vary directly to each other ⇒ u ∝ v.

So, u : v = 10 : 15 = 2 : 3.

Therefore all the pairs of numbers should be in ratio 2 : 3.

i) 2 : 3

ii) 8 : 12 = 2 : 3 (on dividing by 4)

iii) 15 : 20 = 3 : 4 (on dividing by 5)

iv) 25 : 37.5 = 1 : 1.5 (on dividing by 25) = 2 : 3 (on multiplying by 2)

Thus, (iii) 15 and 20 is the only option that does not satisfy the ratio.

Thanks!!