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What is the smallest number which when divided by 8, 12, 20 or 25 leaves a remainder 5 in each case?

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Important Questions on H.C.F. & L.C.M.
MEDIUM
CISF Head Constable
IMPORTANT
What is the least number which when increased by 7 is exactly divisible by 12, 15, 20 and 54?

MEDIUM
CISF Head Constable
IMPORTANT
The smallest number which when divided by 8, 12, 18 and 24 leaves the remainders 5, 9, 15 and 21 respectively, is?

EASY
CISF Head Constable
IMPORTANT
Five bells in a church toll at intervals of 5, 6, 8, 12 and 20 seconds respectively. They all toll together at a certain time. At what interval of time, these five bells will keep on tolling together?

MEDIUM
CISF Head Constable
IMPORTANT
Three traffic lights at crossings change colour after every seconds, seconds and seconds respectively. At a particular time, all the crossing has red colour of light. After what time next, they will again have the red colour?

EASY
CISF Head Constable
IMPORTANT
The L.C.M and H.C.F of two numbers are and , respectively, if one of the two numbers is , the other number is:

HARD
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IMPORTANT
Find the least number which is a perfect square and is also divisible by and .

EASY
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IMPORTANT
The product of two numbers is and their L.C.M. is . The greatest number which will divide each number is:

MEDIUM
CISF Head Constable
IMPORTANT
Find the least number which when divided by leaves remainder , when divided by leaves remainder and when divided by leaves remainder .
