Question 36

X is 5

To find X in the ratio 0.5 : 20 :: X : 200, we can use cross-multiplication. If we set up the equation 0.5 * 200 = 20 * X, we can solve for X, which results in X being 5.

A) 2

Option A is incorrect because if X were 2, the ratio would not hold true. Substituting X = 2 into the equation gives us 0.5 * 200 = 20 * 2, which simplifies to 100 = 40, a false statement.

B) 5

Option B is correct. When substituting X = 5 into the equation, we have 0.5 * 200 = 20 * 5, which simplifies to 100 = 100, confirming that the ratio is consistent.

C) 10

Option C is incorrect because substituting X = 10 into the equation yields 0.5 * 200 = 20 * 10, which simplifies to 100 = 200, another false statement.

D) 15

Option D is also incorrect. Substituting X = 15 results in 0.5 * 200 = 20 * 15, which simplifies to 100 = 300, again a false statement.

Conclusion

The correct answer is 5, as it maintains the integrity of the proportion established in the ratio. All other options fail to satisfy the equality required by the ratio, confirming that they cannot be the correct solution. Therefore, X must be 5 to keep the ratios balanced.