) A number less than 100, when divided
by 2,3, 4 and 5 leaves remainder
in I in each case
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Let no is x
Div by 3 remainder is 2
x+(3–2)= × +1 is multiple of 3
Div by 4 remainder is 3
x+(4–3) = ×+1 is multiple of 4
Div by 5 remainder is 4
x+(5–4) = x+1 is multiple of 5
So LCM of 3,4,5 is 3×4×5 = 60
Hence x=60–1 =59
59 divided by 7 remainder is 3
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