Answers for Creative Math Test Part 4 - MKI IQ Test Questions 31-40

 Here is the answers for the Part 4: Calculation Games Training B (Question 31-40)

31.  There are 10 kinds of classification. Decompose 60 into prime factors: 60=2×2×3×5. In addition to 1 and 60, the divisors of 60 are: 2, 3, 5, 2×2=4, 2×3=6, 2×5=10, 3×5=15, 2×2×3=12, 2×2×5=20, 2×3× 5=30. The following can be grouped according to different divisors. 60÷2=30 (group), 60÷3=20 (group), 60÷4=15 (group), 60÷5=12 (group), 60÷6=10 (group), 60÷10=6 (Group), 60÷12=5 (group), 60÷15=4 (group), 60÷20=3 (group), 60÷30=2 (group). Therefore, each group of 2 people is divided into 30 groups, each group of 3 people is divided into 20 groups, each group of 4 people is divided into 15 groups, each group of 5 people is divided into 12 groups, each group of 6 people is divided into 10 groups, and each group of 10 people is divided into 6 groups. Groups of 12 people are divided into 5 groups, each group of 15 people are divided into 4 groups, each group of 20 people are divided into 3 groups, and each group of 30 people are divided into 2 groups.

32. Group A: 14, 75, 143, 4953, Group B: 30, 33, 169, 4445

33. A took 31 pens.

34. This batch of decorations has a total of 900 pieces. 

35. 37 numbers.

36. The maximum number of magnolia trees planted is 27+7=34 (trees). The question is how many broad magnolia trees are planted at most, and then the situation that has to be considered the most is to plant broad magnolia trees from one side. Then plant one sweet-scented osmanthus tree every three broad magnolia trees on one side, that is, the first 3 of every 4 trees are broad magnolia trees, 35÷4=8……3, then the lateral broad magnolia tree is 3×8+3 =27 (trees). On the other side, plant one broad magnolia tree every four osmanthus trees, that is, the first of every five trees is broad magnolia tree, 35÷5=7, then there are 7 broad magnolia trees on this side. 

37. 63th coin is 50 cent and total amount is 27.10 dollar.

38. (1/20 + 1/21 + 1/28 + 1/30) ÷ 3=1/18, 1 ÷ 1/18 = 18 minutes

39. Assuming that Ella and Jones started at the same place, when Ella caught up with Jones for the first time, the two ran the same distance; when Ella caught up with Jones for the second time, he ran one lap more than Jones, which is 400 meters. In the question, Ella only ran 250 meters more when he caught up with Jones for the second time, indicating that the distance between the two starting points is 400-250=150 (meters).

40. 5+4+3×2=15, 4+4×5-5=19

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