What least number should be subtracted from 28375 so that the result is exactly divisible by 84? [Hint: Find the remainder]

Here are the solutions to the problems: 1. A basket can hold 40 mangoes. How many baskets are needed to pack 68320 mangoes? Step 1: Divide the total number of mangoes by the capacity of one basket. Number of baskets = Total mangoesMangoes per basket Number of baskets = (68320)/(40) Number of baskets = 1708 1708 baskets are needed. 2. A teacher distributed 136 toffees among 17 students. How many toffees did each student get? Step 1: Divide the total number of toffees by the number of students. Toffees per student = Total toffeesNumber of students Toffees per student = (136)/(17) Toffees per student = 8 Each student got 8 toffees. 3. There are 10104 stones in 12 heaps. Find the number of stones in one heap, if each heap contains the same number of stones. Step 1: Divide the total number of stones by the number of heaps. Stones per heap = Total stonesNumber of heaps Stones per heap = (10104)/(12) Stones per heap = 842 There are 842 stones in one heap. 4. The product of two numbers is 5394. If one of the number is 93, find the other. Step 1: Divide the product by the given number. Other number = ProductOne number Other number = (5394)/(93) Other number = 58 The other number is 58. 5. 6011 books are to be packed into boxes of 46 books each. How many boxes are completely filled and how many books are left over? Step 1: Divide the total number of books by the number of books per box. (6011)/(46) = 130 with a remainder of 31 This means 130 boxes are completely filled, and 31 books are left over. 130 boxes are completely filled and 31 books are left over. 6. A gardener wants to plant 5301 trees in rows. If each row consists of 35 trees, how many complete rows are formed and how many trees will be left over? Step 1: Divide the total number of trees by the number of trees per row. (5301)/(35) = 151 with a remainder of 16 This means 151 complete rows are formed, and 16 trees are left over. 151 complete rows are formed and 16 trees will be left over. 7. How many dozen make 8676? [Hint: one dozen = a set of 12] Step 1: Divide the total number of items by 12 (since one dozen is 12 items). Number of dozens = (8676)/(12) Number of dozens = 723 723 dozen make 8676. 8. A dealer put 24 pencils in one packet. How many packets will require to put 53304 pencils? Step 1: Divide the total number of pencils by the number of pencils per packet. Number of packets = Total pencilsPencils per packet Number of packets = (53304)/(24) Number of packets = 2221 2221 packets will be required. 9. A music teacher is cutting ribbons for the medals. If each ribbon is 25 cm long, how many ribbons the teacher get from a roll of ribbon that is 800 cm long? Step 1: Divide the total length of the ribbon roll by the length of each ribbon. Number of ribbons = Total length of rollLength of each ribbon Number of ribbons = 800 cm25 cm Number of ribbons = 32 The teacher will get 32 ribbons. 10. What least number should be subtracted from 28375 so that the result is exactly divisible by 84? [Hint: Find the remainder] Step 1: Divide 28375 by 84 to find the remainder. (28375)/(84) = 337 with a remainder of 67 The remainder is 67. To make the number exactly divisible by 84, this remainder must be subtracted. The least number to be subtracted is 67.