Question

54Z leaves remainder 2 when divided by 5 and leaves remainder 1 when divided by 3 what is the value of Z?

Answer 1

Answer:

Z=7

Step-by-step explanation:

54Z= 540 + Z

Now as 540 is divisible by 5 and 3 both ,no remainder is there

Now

Z/3 gives remainder 1

Z=3n+1

If n=1

then Z=3+1=4

If n=2

Z=2*3+1=7

So Z= 4 or 7..............(1)

Z/5 gives remainder 2

so Z=5m+2

m=1 then Z=7

So Z=7-------------------------(1)

From (1) and (2) we get

Z=7

so 547 is the number

Answer 2

ANSWER

Since on dividing by 5 remainder is 2

then, Z can be 2,7

Now, on dividing by 3 the remainder is 1

then, Z can be 4,7

Therefore Answer is Z→7