Question

5. Find the greatest five-digit number which leaves a remainder of 7 when divided by 18, 24 and 36? (4)

Answer 1

Answer:

99,943

Step-by-step explanation:

LCM of 18,24,36

2 | 18 24 36

2 | 9 12 18

3 | 3 4 6

3 | 1 4 2

2 | 1 2 1

1 1 1

LCM = 2×2×3×3×2 = 72

greatest 5 digit number is 99,999

Divide 99,999/72 = 1388.87 ~ 1388

multiply 72 × 1388 = 99,936

to leave remainder 7 , 99,936+7 = 99,943