Question 41

X is 3.6

To find the value of X in the ratio 0.6 : X :: 7 : 42, we can cross-multiply. This gives us the equation 0.6 * 42 = 7 * X, leading to the solution that X equals 3.6.

A) 3

Option A is incorrect because substituting X with 3 in the equation 0.6 * 42 = 7 * 3 does not hold true. The left side evaluates to 25.2, while the right side evaluates to 21, indicating a mismatch.

B) 3.6

This option is correct. When we substitute X with 3.6 in the equation, we find that 0.6 * 42 equals 7 * 3.6, both equating to 25.2. This confirms that 3.6 is the correct value for X.

C) 4

Option C is incorrect because substituting X with 4 results in the equation 0.6 * 42 = 7 * 4, which evaluates to 25.2 on the left and 28 on the right. This inconsistency shows that 4 cannot be the value of X.

D) 4.2

Option D is also incorrect. If we substitute X with 4.2, we would have 0.6 * 42 = 7 * 4.2. The left side equals 25.2, while the right equals 29.4. This discrepancy further confirms that 4.2 is not the correct value for X.

Conclusion

The correct answer, 3.6, effectively satisfies the ratio equation, proving it to be accurate. All other options fail to maintain the equality when substituted into the equation, demonstrating their incorrectness. Thus, 3.6 is clearly the solution that solves the given ratio.