Test: Fractions/Ratios/Decimals - GMAT MCQ

The proportion of women who are homeowners exceeds that of men who are homeowners. Therefore, to minimize the total number of homeowners, we should aim for the lowest possible count of women.

To achieve this, we need to ensure that the number of women is a multiple of 4 and the number of men is a multiple of 5.

Considering the objective stated in the first point and the constraint mentioned in the second point, the minimum number of women required is 20, while the corresponding number of men is 180.

Consequently, with 25% of 20 being 5 and 20% of 180 equaling 36, the minimum number of homeowners is obtained by summing these values, resulting in a total of 41 homemakers.

Let the two digit number be 10a + b and the number formed by reversing its digits be 10b + a.
10a + b /10b + a = 4/7
70a + 7b = 40b + 4a
66a = 33b
Therefore, a/b = 1/2
So, let us list down all possible values for a and b

Hence, the sum of all the numbers would be,
12 + 21 + 24 + 42 + 36 + 63 + 48 + 84 = 330.

When we cube numbers, the units digit of the cube is solely dependent on the units digit of the base number. We can observe the following pattern for the units digits of cubes:

0³ = 0
1³ = 1
2³ = 8
3³ = 7
4³ = 4
5³ = 5
6³ = 6
7³ = 3
8³ = 2
9³ = 9

From this pattern, we can see that each digit from 0 to 9 appears as the units digit of some cube. Therefore, all ten digits from 0 through 9 could be the units digits of n³.

Hence, the answer is E: Ten.

Given a mixture of 40 liters consisting of water and a chemical in a ratio of 3:5, we can calculate the percentage of the original amount of mixture that evaporated during a 10-day period.

First, we solve for the individual amounts of water and chemical in the mixture using the given ratio:
Let x represent the common multiplier.
Water = 3x
Chemical = 5x

Solving the equation 3x + 5x = 40, we find x = 5.

Substituting x = 5, we find:
Water = 3 * 5 = 15 liters
Chemical = 5 * 5 = 25 liters

Over the 10-day period, water evaporates 2% each day, resulting in a total water loss of 10 * 2% = 20%.
Chemical evaporates 5% each day, resulting in a total chemical loss of 10 * 5% = 50%.

Calculating the actual amount evaporated:
Water evaporated = 15 liters * 20% = 3 liters
Chemical evaporated = 25 liters * 50% = 12.5 liters

The total amount evaporated is the sum of water and chemical evaporated:
Total evaporated = 3 liters + 12.5 liters = 15.5 liters

Finally, we calculate the percentage of the original mixture evaporated:
Percentage evaporated = (Total evaporated / Mixture total) * 100
Percentage evaporated = (15.5 liters / 40 liters) * 100 ≈ 38.75%

Therefore, the answer is C: 38.75%.