Question

$
06. When a number is successively divided by
7,5 and 4, it leaves remainders of 4.2 and 3
respectively. What will be the respective
remainders when the smallest such number
is successively divided by 8, 5 and 6?
(a) 5,0,3
(b) 2,2,4
(c) 3,0,3
(d) 2,4,2
​

Answer 1

Answer:

c) 3,0,3

Step-by-step explanation:

The number would be in the form of (7X +4)as when the number is divided by 7 we will get remainder 4.

Now we will try hit and trial method to obtain the number.

Put ,X = 17 then

7X + 4=7 *17 +4=119+4 =123

Now ,when 123 divided by 7 gives quotient 17, remainder =4

17 divided by 5, quotient =3 ,remainder =2

3 divided by 4 gives remainder 3.

So for the first condition satisfied.

Now 123 divided by 8, quotient =15, remainder =3

15 divided by 5 , quotient =3, remainder =0

3 divided by 6 , remainder = 3