**Question 131 – “In the sequence…”**

OG Explanation is confusing. It is easier just to write down the sequence. We start with x_{0}=0 and we go until x_{k}=15. 0, 3, 6, 9, 12 ,15 – from x_{k} = 15, we must do 3 less than the previous term until we get to 0…..12,9,6,3,0

So the sequence is {0, 3, 6, 9, 12, 15, 12, 9, 6, 3, 0}

X_{n} is the last term in the sequence. Starting with the first term as x_{0 }and counting from there, the last term is x_{10. }The answer is D.

**Question 132 – “A company…”**

OG Explanation is fine.

**Question 133 – “If x…”**

OG Explanation is fine.

**Question 134 – “If d>0…”**

OG Explanation is fine.

**Question 135 – “In the figure shown …. “**

OG Explanation is fine.

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**Question 136 – “A train travels….”**

OG Explanation is fine.

**Question 137 – “Last year Manfred…”**

OG Explanation is fine. Notice that this is weighted average problem. We need to find the weighted average of 6 $750 checks and 20 $780 checks. Because there is more “weight” on the $780 checks (i.e. 20 > 6), the average must be greater than if there were equal. If there were equal, then the average would be $765. So we can eliminate A, B, and C. The average of 6 $750 checks and 20 $780 checks is the same as 3 $750 checks and 10 $780 checks. From there, multiply and divide.

**Question 138 – “If 25 percent of p…..”**

OG Explanation is fine. You can also pick numbers. If you let q=100, then 10% of 100 is 10. Then, p must be 40 since 25% of 40 = 10 p=40 and q=100 so p is 40% of q.

The correct answer is E

**Question 139 – “If the length…”**

OG Explanation is fine. Alternatively, you could just pick numbers. Let cube Y be 1 x 1 x1 and let cube X be a 2 x 2 x 2. Ratio of volume of Cube X to volume of cube Y is 1 to 8.

**Question 140 – “Machines A and B…”**

OG Explanation is fine.