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**Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.****Find the largest number of four digits exactly divisible by 12,15,18 and 27.****Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9…****Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.****The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other.****The L.C.M of 64 and another number P is 1216. If the H.C.F is R, the true statement is :****Find the smallest number of five digits exactly divisible by 16,24,36 and 54.****The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec.…****Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case****Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.****Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.****Find the H.C.F and L.C.M of 23,89,1681 and 1027****Find the H.C.F. of 108, 288 and 360.****Find the L.C.M. of 72, 108 and 2100.****Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and…**