Question
Three boys runs around a circular track and takes 25 min, 35 min and 40 min respectively to complete the one round. When do they all come relatively to the same position as at a certain point of time in their path?
More HCF and LCM Questions
- The product of two numbers is 132 and their highest common factor is 6. What is the least common multiple of these numbers?
- The LCM of the two numbers is 12 times their HCF. The sum of LCM and HCF is 429 and if both the number are smaller than their LCM. Find both numbers.
- The square of sum of two numbers is 4,096 and the sum of squares of the same two numbers is 2,176. If their H.C.F. is 8, then find their L.C.M.
- A launches a partnership with Rs. (P + 700). B joins after 5 months with Rs. 2P. If the ratio of B’s profit share to A’s is 7:8, find (P − 100).
- The sum of two numbers is 444 and their HCF is 37. Find all the possible pairs of such numbers?
- The ratio of two numbers is 5: 8 and their LCM is 320. What is the difference between these two numbers?
- Find the difference between sum of digits of LCM and HCF of 45, 60 and 75.
- What will be the greatest common divisor (GCD) of (x² - 8x + 15) and (x² - 11x + 30).
- The product of two positive integers is 1400. If their HCF is 5 and their sum is 75, then find the difference between the numbers.
- The sum of two numbers is 156 and their HCF is 26. Find how many such pairs can be formed.
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