Field-test question. ACT includes questions it is trialling in every live form. They are real questions with real answers, but they do not count toward the score and ACT publishes no reporting category for them.
Lavonne purchased some tickets and snack vouchers for an upcoming event and gave them to the members of her work group. Each member of her work group received the same number of tickets and the same number of snack vouchers. The total number of tickets she gave to her group was 30 , and the total number of snack vouchers was 75 . Which of the following could be the number of members in Lavonne’s work group?
Correct answer: B
Explanation from ACT Education Corp.
This question also appears in ACT QuizMe official practice questions, which explains every answer choice.
A. Incorrect. Start by writing out the factors of 30 and 75. Then, think about which number is a common factor between the two numbers. Remember that the answer needs to be a factor of both numbers, not just of 30.
B. Correct. The answer will need to be a common factor of 30 and 75. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 75 are 1, 3, 5, 15, 25, and 75. The common factors of 30 and 75 are therefore 1, 3, 5, and 15. Out of these common factors, only 15 is a possible answer choice.
C. Incorrect. Start by writing out the factors of 30 and 75. Then, think about which number is a common factor between the two numbers. Remember that the answer needs to be a factor of both numbers, not just of 75.
D. Incorrect. Start by writing out the factors of 30 and 75. Then, think about which number is a common factor between the two numbers. Remember that the answer needs to be a factor of both numbers, not just of 30.
Loading…
Searched on YouTube by reporting category, not by question text. Open this search on YouTube →
Extracted from a print-layout PDF: equations, figures and charts do not survive as text. Use the original PDF for anything that renders poorly. ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.