25 June HCF and LCM Mix Word Problems Questions
- Find the largest number which divides 245 and 1025 exactly.
- There are 527 apples, 646 pears, and 748 oranges. These are to be arranged in heaps containing the same number of fruits. Find the greatest number of fruits possible in each heap. How many heaps are formed?
- Mamta slices 72 onion slices and 180 cucumber slices to make sandwiches for a picnic. They have to make each sandwich with the same filling pattern. What is the greatest number of sandwiches they can make?
- The length, breadth, and height of a room are 192 cm, 180 cm, and 144 cm respectively. Determine the longest tape which can measure the three dimensions of the room exactly.
- Three sets of Mathematics, Science, and English books containing 336, 240, and 96 books respectively have to be stacked in such a way that the height of each stack is the same. What is the least number of stacks of books subject-wise and the total number of stacks?
- A rectangular courtyard is 20 m long and 15 m broad. It is to be paved with square stones of same size. Find the least possible number of such stones.
- Find the smallest number which when divided by 12, 18, and 30 leaves a remainder 5 in each case.
- The traffic lights at three different road crossings change after every 48 seconds, 72 seconds, and 108 seconds respectively. If they all change together at 6:00 a.m., at what time will they again change together?
- A gardener has 432 marigold plants, 360 rose plants, and 252 lily plants. He wants to plant them in rows such that each row contains the same number of plants and only one type of plant. What is the greatest number of plants that can be planted in each row?
- Find the greatest number of 4 digits which is exactly divisible by 15, 25, 40, and 75.
- The LCM and HCF of two numbers are 3120 and 24 respectively. If one number is 240, find the other.
- Three measuring rods of lengths 90 cm, 120 cm, and 150 cm are used to measure the length of a hall. What is the least length of the hall that can be measured an exact number of times using each rod?
- Find the least number which when divided by 8, 12, and 20 leaves 2 as remainder in each case.
- A merchant has 160 liters of oil of one kind, 120 liters of another kind, and 200 liters of a third kind. He wants to pack them in cans of equal capacity without mixing. What is the greatest capacity of such a can?
- Find the least number which is exactly divisible by all the numbers from 1 to 10.
- Two bells ring at intervals of 18 minutes and 24 minutes. If they ring together at 6:00 a.m., when will they ring together again?