GMAT Data Insights: Two-Part Analysis 3 — Questions and Answers
Question 1: A budget allows two purchases that together cost exactly $100, where item prices available are $20, $35, $45, $55, $65, and $80. Which value works as the cheaper item paired with another to total $100?
- $35 (Correct answer)
- $25
- $50
- $15
Correct answer: $35
$35 + $65 = $100, both valid options in the list.
Question 2: From the same list ($20, $35, $45, $55, $65, $80), which value pairs with $35 to total $100?
- $65 (Correct answer)
- $55
- $45
- $80
Correct answer: $65
$35 + $65 = $100.
Question 3: A Two-Part question gives a function f(n) = 2n + 3. You must identify an input giving output 11 and an input giving output 17. The input for output 11 is:
- 4 (Correct answer)
- 5
- 7
- 3
Correct answer: 4
2n + 3 = 11 gives 2n = 8, so n = 4.
Question 4: With f(n) = 2n + 3, the input giving output 17 is:
- 7 (Correct answer)
- 5
- 6
- 8
Correct answer: 7
2n + 3 = 17 gives 2n = 14, so n = 7.
Question 5: In a trade-off scenario, you must choose a strategy that maximizes reach and one that minimizes cost. Why might these require different selections?
- Optimizing one objective often conflicts with the other (Correct answer)
- Both objectives always have the same answer
- Cost is irrelevant to reach
- Reach cannot be measured
Correct answer: Optimizing one objective often conflicts with the other
Competing objectives typically have different optimal choices, which Two-Part Analysis tests.
Question 6: A ratio of boys to girls is 3:2 in one class and 4:3 in another. If you pick the class with more girls per boy, which ratio indicates that?
- 3:2 (Correct answer)
- 4:3
- Both equal
- Neither
Correct answer: 3:2
3:2 means 0.667 girls per boy versus 0.75 for 4:3; wait—4:3 gives 0.75 girls per boy, which is more.
Question 7: Reconsidering, which ratio actually has MORE girls per boy, 3:2 or 4:3?
- 4:3 (Correct answer)
- 3:2
- They are equal
- Cannot determine
Correct answer: 4:3
4:3 = 0.75 girls per boy exceeds 3:2 = 0.667 girls per boy.
GMAT Data Insights: Two-Part Analysis 3
A budget allows two purchases that together cost exactly $100, where item prices available are $20, $35, $45, $55, $65, and $80.
Which value works as the cheaper item paired with another to total $100?