When a natural number X is divided by 5 ,the remainder is 2. When a natural number Y is divided by 5,the remainder is 4, the remainder is Z when X+Y is divided by 5.The value of 2z/3-5/3

Open in App

Solution

Let q1 be the quotient when X is divided by 5

therefore X = 5q1 + 2

let q2 be the quotient when Y is divided by 5

therefore, Y = 5q2 + 4

X + Y = 5q1 + 5q2 +6

on dividing X+Y by 5 i.e. (5q1+5q2+6)/5 we get (q1 + q2 + 1) as quotient and 1 as reminder

hence z=1
Therefore, 2z/3 - 5/3 = 2*1/3 - 5/3 = 2/3 -5/3 = -3/3 = -1 Ans.

Suggest Corrections

Similar questions

x^{2} - 5 x + 2

T w o n u m b e r s, x a n d y a r e s u c h t h a t w h e n

d i v i d e d b y 6, t h e y l e a v e r e m a i n d e r 4 a n d 5

r e s p e c t i v e l y . F i n d t h e r e m a i n d e r w h e n

x^{3} + y^{3} i s d i v i d e d b y 6 ?

n

4

3

2 n

4

p (x)

(x - 3),

5.

p (x)

(x - 5),

3.

r (x)

p (x)

(x - 3) (x - 5) .

r (1)

Join BYJU'S Learning Program