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PROBLEMS ON H.C.F AND L.C.M QUIZ

A, B and C start running around a circular stadium and complete one round in 27 s, 9 s and 36 s, respectively. In how much time will they meet again at the starting point?

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What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?

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An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest,

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A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?

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What is the smallest number which when diminished by 8, is divisible by 9, 6, 12 and 18?

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Find the largest number of four digits which is exactly divisible by 27,18,12,15

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Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?

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Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

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LCM of 1/3, 5/6, 5/4, 10/7 is:

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The least number which should be added to 2497 so that sum is divisible by 5, 6, 4, 3?

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