OG 12th Data Sufficiency 81-100

Question 81 – “What is the value of n….”
OG Explanation is fine.

Question 82 – “If positive integer x is a multiple of 6 and positive…”
OG Explanation is fine.

Question 83 – “What is the value of b + …”
OG Explanation is fine.
Khan Academy (OG 11th) Question 67 – Begins at 9:20

Question 84 – “What is the average (arithmetic mean)…”
OG Explanation is fine.
Khan Academy (OG 11th) Question 68 – Begins at 0:00

Question 85 – “Paula and Sandy were among those people who sold….”
OG Explanation is fine.
Khan Academy (OG 11th) Question 69 – Begins at 2:45

Question 86 – “A number of people each wrote down on the first…”
OG Explanation is fine.
Khan Academy (OG 11th) Question 71 – Begins at 7:00

Question 87 – “Is the number of seconds required to travel d…”
OG Explanation is okay. Question 88 – “Last year, if Arturo spend a total of \$12,000 on his mortgage…”
OG Explanation is fine.

Question 89 – “Is the number of members of Club X greater than…”
OG Explanation. Alternatively, you could draw a Venn Diagram Question 90 – “If k m and t are positive integers…”
OG Explanation is fine.

Question 91 – “In the figure above, is CD…”
OG Explanation is fine
Khan Academy (OG 11th) Question 72 – Begins at 8:50

Question 92 – “In a certain office, 50 percent of the employees…”
OG Explanation is fine.

Question 93 – “On the number line above p q r s….”
OG Explanation is okay. Since p, q, r, s, t are consecutive even integers, then once we find one variable we know them all as each variable is evenly spaced.

Statement 1:
q + s = 24
The difference between q and s is 4 because there is one even integer between q and s.
So, q – s = 4
Combining both equations 2q = 28 or q = 14.
The sequence is therefore 10, 12, 14, 16, 18. We can find the mean. SUFFICIENT.

Statement 2:
It follows that q = 10 and r = 12, because these are the only 2 consecutive even numbers that will average to 11. The sequence is therefore 10, 12, 14, 16, 18

Question 94 – “If line k in the xy-plane…”
OG Explanation is fine.

Question 95 – “Is rst=….”
OG explanation is fine.

Question 96 – “The figure above represents a circle graph of Company H’s…”
OG Explanation is fine. For statement 2, there is no way to solve for X given that Division S and T are twice the expense of Division R.

Question 97 – “If x is negative…”
OG Explanation is fine.

Question 98 – “Seven different numbers are selected from the…”
OG Explanation is fine.

Question 99 – “Each of the letters in the table…”
OG Explanation is fine.
Another way for statement 2:
It may be easier to realize that since each column and row contains a 1, 2, and 3, the sum of each is 6. Therefore, r + s + t = 6 and r + u + x = 6.
Combining both equations, r + s + t + r + u + x = 12.
Since Statement 2 tells us that s + t + u + x = 6, we can plug that in to the above equation to get 2r + 6 = 12
This tells us that r = 3. SUFFICIENT

Question 100 – “If [x] denotes the greatest integer…”
OG Explanation is fine. One Response to OG 12th Data Sufficiency 81-100

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