Question

[
begin{array}{l}
begin{array}{c}
16,18,20,25
text { Finding LaM of } 16,18,20,25
16=24
18=2^{1} times 3^{2}
20=2^{2} times 5^{1}
25=5^{2}
=44=2^{4 times 3^{2} times 5^{2}}
=16 times 9 times 25
=3600
end{array}
end{array}
]
giver that the no. is divisible by 7 and leaves remainder 4 when dirded by 16,18,20 and 25
Requived no. is ( =3600 x+4 ) which divisible by 7
( therefore ) From options (4), 18004

# 17. The least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case but when divided by 7 leaves no remainder, is (1) 17004 (2) 18000 (3) 18002 OH (4) 18004

Solution