OG 12th Data Sufficiency 21-40

Question 21 – “What percent of the drama club members enrolled at a certain….”
OG Explanation is fine. Knowing that 40 percent of the females are in the drama club (statement 1) and that 25 percent of the males are in the drama club does not tell us what percent of drama club members are female. We would still need to know that ratio of male to female students in some form.

Question 22 – “A family size box of cereal contains….”
OG Explanation is fine.

Question 23 – “The profit from the sale of a certain appliance…”
OG Explanation is fine.
Khan Academy (OG 11th) Question 36 – Begins at 6:55

Question 24 – “If n is an integer, is n even…”
OG Explanation is fine.

Question 25 – “Carmen currently works 30 hours per week at her….”
OG Explanation is fine.

Question 26 – “The number of n units of its product that company X is scheduled…”
OG Explanation is fine. The question basically asks us solve for n when t=6. What can solve for n when t=6 when we have a unique value for c. Both Statements 1 and 2 give us values for n and t, so we can solve for c, SUFFICIENT.

Question 27 – “When 200 gallons of oil were removed from a tank…”
OG Explanation is okay.

Question 28 – “Division R of Company Q has….”
OG Explanation is fine.

Question 29 – “A circular tub has a band painted above…”
OG Explanation is fine.
Khan Academy (OG 11th) Question 39 – Begins at 3:45

Question 30 – “What is the value of integer…”
OG Explanation is fine. Be careful here. Nothing in statement 1 tells us the n is positive.

Question 31 – “If t denotes the thousandths digits…”
OG Explanation is fine.

Question 32 – “Jerry bought 7 clothing items including a coat…”
OG Explanation is okay. It is worth noting that statements 1 and 2 tell us the same thing.
Statement 1: $365 – $125 = $240. $240 is the price of the other items other than the coat. These 6 items will have an average price of $40.
Statement 2: The average price of the other 6 items is $40.
If Statements 1 and 2 tell us the same thing, the answer must be either D or E. The other 6 items could have prices $10 + $10 + $10 + $10 + $10 + $190 or it could have prices of $40 + $40 + $40 + $40 + $40 + $40. In the former, the total sales tax is 7% of $190 + $125. In the latter the total sales taxes is 7% of $125. Thus the total sales tax cannot be determined. The answer is E.


Question 33 – “What was the price at which a merchant….”
OG Explanation is okay.
Statement 1: The gross profit could be $200 and the selling price $1000 or the gross price could be $20 and the selling price $100. INSUFFICIENT
Statement 2: This tells us the gross profit is simply $50. The selling price could be $1000 or $100. INSUFFICIENT
Combining both statements: The gross profit represents 20% of the total cost and is $50. This tells us the total cost must be $250. SUFFICIENT

Question 34 – “The inside of a rectangular carton is 48 centimeters…”
OG Explanation is fine.
Khan Academy (OG 11th ) Question 41 – Begins at 8:25

Question 35 – “For the system of equations given….”
OG Explanation is fine.
Khan Academy (OG 11th) Question 42 – Begins at 0:00
Note: This is got to be one of the easiest questions I have seen.

Question 36 – “For all integers n, the function f is defined…”
OG Explanation is fine.

Question 37 – “The selling price of an article is equal to the cost…”
OG Explanation is fine.

Question 38 – “If p1 and p2 are the populations and r1 and r2 are…”
Personally, I don’t like the OG Explanation. There are other approaches to the problem.

Question 39 – “In a random sample of 80 adults…”
OG Explanation is fine.

Question 40 – “The table above shows the distance, in kilometers….”
OG Explanation is fine.
Khan Academy (OG 11th) Question 44 – Begins at 2:45

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