Question
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A. 1108
B. 3363
C. 2007
D. 1683
Answer: D. 1683
Solution:
Take 1108. This is not even divisible by 9. Hence this is not the answer.
Take 3363. This is not even divisible by 9. Hence this is not the answer.
Take 2007. This is divisible by 9.
2007 ÷ 5 = 401, remainder = 2 . Hence this is not the answer
Take 1683. This is divisible by 9.
1683 ÷ 5 = 336, remainder = 3
1683 ÷ 6 = 280, remainder = 3
1683 ÷ 7 = 240, remainder = 3
1683 ÷ 8 = 210, remainder = 3
Hence 1683 is the answer.
Similar Question
What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?
Related Posts:
