What is the smallest four-digit number which when divided by 6, leaves a remainder of 4 and when divided by 4 leaves a remainder of 3?
Answers
Answered by
1
Answer:
Step-by-step explanation:
Smallest four digit number= 1000
Decide it by 6 so it gives remainder 4
Now decide it by 4 , it gives remainder as 0
Now take out LCM OF 4 & 6 WHICH IS
12 IS LCM
HENCE IT WILL BE ADDED TO 1000 WHICH GIVES 1012
NOW ADD 3 TO IT
NOW IT BECOMES 1015
IT CAN GIVE REMAINDER AS 3 WHEN DIVEDED BY 4 BUT DOESN'T GIVES 5 AS REMAINDER SO ADD AGAIN 4 TO IT BECAUSE ON DEVIDING BY 1015 FROM SIX IT WILL GIVE REMAINDER 1 AND 1+4=5
HENCE YOUR ANSWER IS 1019
Similar questions