Заповніть форму та дізнайтеся результат вашого тесту! Ваше ім’я (Name)* Ваш телефон (Phone)* Ваш e-mail* 1. Marge has n candies, where n is an integer such that 20 < n < 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children? A 0 B 1 C 2 D 3 E 4 2. If 7 workers can build 7 cars in 7 days, then how many days would it take 5 workers to build 5 cars? A 1 B 5 C 7 D 35 E 25 3. The choir consists of 5 boys and 6 girls. In how many ways can the singers be arranged in a row, so that all the boys are together? (assume all members of the group are uniform and combinations within the group do not matter). A 120 B 30 C 24 D 7 E 11 4. A soccer coach riding his bike at 24 km/h reaches his office 5 minutes late. Had he traveled 25% faster, he would have reached the office 4 minutes earlier than the scheduled time. How far is his office from his house? A 18 B 24 C 36 D 40 E 72 5. Mary bought some kiwis, bananas, and lemons at the grocery store in proportion of 1:4:7 accordingly. How many lemons did Mary buy? (1) The total number of fruits Mary bought is 24. (2) Mary bought 8 bananas. A Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are NOT sufficient. 6. If 6√x=6, then √x6= A 6 B 6 √6 C 66 D 618 E 636 7. Is x > y ? (1) x + y > 0 (2) x2-y2 > 0 A Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are NOT sufficient. 8. Which of the following could be the sum of three consecutive integers? A 29 B 46 C 57 D 92 E 100 9. In the above circle AB = 4, BC = 6, AC = 5 and AD = 6. What is the length of DE? A 6 B 7.5 C 8 D 9 E 10 10. If the average (arithmetic mean) of 3, 6, 10, m and n is 9, then what is the average of m + 4 and n – 2 ? A 9 B 13 C 14 D 18 E 26 11. If there are 16 people to choose from, what is the ratio of the number of possible 7-person committees to the number of possible 8-person committees? A 7:8 B 8:7 C 7:9 D 8:9 E 9:8 12. If p and q are prime numbers, how many divisors does the product p3∙q6 have? A 9 B 12 C 18 D 28 E 36 Секретний код:* * поля обов’язкові для заповнення
(1) The total number of fruits Mary bought is 24.
(2) Mary bought 8 bananas.
(1) x + y > 0
(2) x2-y2 > 0