**Question 61 – “After 4,000 gallons…”**

OG Explanation is okay. Another way would be to convert to percents. Since ¾ = 75% and 4/5 = 80%. The 4,000 gallons that are added represent 5% of the total capacity. Setting up a proportion

**Question 62 – “The sum of 3 integers…”**

OG Explanation is sufficient.

**Question 63 – “If S = {0, 4, …”**

OG Explanation is sufficient.

**Question 64 – “At a monthly meeting…”**

OG Explanation is too algebraic; it is easier to just pick numbers. Suppose there were 100 members: 40 male (and thus 60 female). 7/8 of the male attendees or 35 arrived on time. 9/10 of the female members arrived on time so 54 arrived on time.

**Question 65 – “If d=2.0453…..”**

OG Explanation is sufficient.

**Question 66 – “Company K’s earnings were…..”**

OG Explanation is okay. Remember, the question is using the word greater. If this year’s revenue is 150% greater than last year’s revenue, then it is 250% of (or 2.5 times of) last year’s revenue. 2.5($12 Million) = $30 Million.

**Question 67 – “The sequence a….”**

OG Explanation is okay.

**Question 68 – “When positive integer n is divided…”**

The OG Explanation is too cumbersome. This is a tricky question.

Alternative approach: Understand that “When positive integer n is divided by 5, the remainder is 1.” This means that the last digit of n must be a 1 or 6. (This is because the only numbers that have a remainder of 1 when divided by 5 are numbers that end in 1 or 6)

Multiples of 35 end in 5 or 0. (i.e. 35, 70, 105, etc.)

So at this point, we have

n + k = some multiple of 35

n (ends in 1 or 6) + k = something that ends in 5 or 0.

This means that integer k must end in 4 or 9. Only answer choice B works here.

This approach is risky if there had been other choices that ended in 4 or 9. At that point, you would eliminate all answer choices that did not end in 4 or 9 and then plug in to see which answer choice works.

**Question 69 – “Of the goose eggs laid…”**

**Question 70 – “List S consists of 10…”**

Official Guide OG Explanation is too algebraic. I think the best way would be to pick numbers. Let t = {0,2,4,6,8} average is (8+6+4+2+0) / 5 = 4. If the least integer in T is 0, then the least integer in S must be 7. Let S = {7,9,11,13,15,17,19,21,23,25). The average of this set is 16*. 16-4=12. The answer is D.

*Nota Bene: You should know that in an evenly spaced set, the mean is equal to the median. The median of set T is 4 and the median of set S in this case is (17+15) / 2 = 16

I bow down humbly in the presence of such greentass.