Question

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

11th - 12th Class

Maths

Solution

340

2.0 (1 ratings)

[ 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