Arithmetic Aptitude :: Problems on H.C.F and L.C.M
- Three different containers contain 496 liters, 403 liters, and 713 liters of water, respectively. What is the capacity of the biggest container that can measure three different quantities evenly?
- The least number which when divided by 2, 3, 4, 5 and 6 leaves the same remainder 1 in each case. If the same number is divided by 7, it leaves no remainder. Find the number.
- Which is the greatest three-digit number which when divided by 6, 9 and 12 leaves a remainder of 3 in each case?
- There are two numbers. HCF of both the numbers is 11, and their LCM is 693. If the first number is 77, find the second number?
- Find the greatest number which divides 34, 90, and 104 and leaves the same remainder in each case.
- What is the least multiple of 7 which when divided by 6, 9, 15, and 18 respectively, leaves 4 as the remainder in each case?
- Which least number should be subtracted from 1936 so that the resulting number, when divided by 9, 10, and 15, will leave the same remainder 8 in each case?
- Find the least number which when divided by 5, 6, 7, and 8 leaves remainder 3, but when divided by 9 leaves remainder 0.
- The LCM of two prime number x and y is 161. If x>y, find the value of 15y-7x.
- Find the smallest digit that will leave same remainder 4 in each case when divided by 12, 15, 20, and 54.
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