Question

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Answer 1

Answer:

Explanation:

1)

To find the least number leaving remainder as 9, when divided by numbers 10, 16 and 24, we need to find its LCM.

LCM = 2 x 2 x 2 x 2 x 3 x 5 = 240

⇒ 240 + 9 = 249 is the required number.

2)

So , LCM of 24,25,60

therefore the smallest 4 digit number which is completely divisible by 24,25,60 is 600.

3)

32×16×8=32×128

=4096×2=8198÷6=1366

4)

Greatest 3 digit number : 999

We want a number which divides each of 4,5 and 6, so it will be divided by their L.C.M. as well, which is 60.

So divide 999 with 60 (999/60)

Quotient :16

Remainder:39

Substrate remainder from greatest 3 digit number and we will get the answer, i.e. 999-39 =960(Answer)

To check see if it is getting divided by each of 4,5 and 6 or not.

960/4=240(with no remainder)

960/5=192(with no remainder)

960/6=160(with no remainder)

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