Question

find the greatest 3 digit number which when divided by 75 45 and 60 gives no remainder and the remainder 4in each case.


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Answer 1

Answer:

Correct option is A)

(i)

75=3×5×5

45=3×3×5

60=2×2×3×5

For the greatest 3 digit number which divides by 75,45 and 60 leaves no reamainder,

The number must be a multiple of 2×2×3×3×5×5=900

900 is the greatest 3 digit number that is divisible by 75,45 and 60

(ii)

Step 1 find L.C.M of given number

L.C.M of 75,45 and 60 is 900

Step 2. find largest 3 digit number which is divisible by 900

Largest 3 digit number which is divisible by 900 is itself 900

Step 3. add the remainder to the number

900+4 = 904