Question

a,b divided by 4 and 6 respectively leave remainders p and q respectively .what is the maximum value of p+q​

Answer 1

Answer:

8

Step-by-step explanation:

See, a is to be divided by 4 and 6 which would leave remainder p and q respectively.

Now, we have to find maximum value of p+q.

For maximum value of p+q, p and q should have maximum positive value!!

Now, we can write a = 4(q1) + p and a = 6(q2) +q by Euclid's division lemma

where q1 and q2 are the quotients obtained by dividing a by 4 and 6 respectively,

and p and q are remainder and $0\leq p <4$ ; p = integer and $0\leq q <6$ ; p = integer

∴possible values of p = 0,1,2,3

and possible values of q = 0,1,2,3,4,5

∴ Maximum value of p =3

ans Maximum value of q =5

∴ Maximum value of p + q = 3+5 = 8

Hope, you got it:-))

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