For-all-positive-integer-n-f-n-is-defined-as-the-remainder-when-n-is-divided-by-k-where-k-is-an-integer-greater-than-1-f-k-25-3-Quantity-A-k-Quantity-B-5-

Question Number 177621 by aurpeyz last updated on 07/Oct/22

For all positive integer n . f (n) is defined

as the remainder when n is divided by k

where k is an integer greater than 1 .

f (k + 25) = 3

Quantity A : k

Quantity B : 5

Commented by aurpeyz last updated on 07/Oct/22

p l s h e l p

Answered by Rasheed.Sindhi last updated on 08/Oct/22

k + 25 \equiv 3 (m o d k)

k + 22 \equiv 0 (m o d k)

k + 22 = uk; u \in Z

k (u - 1) = 22

∵ k > 1

∴ P o s s i b l e v a l u e s f o r k : 2, 11, 22

2 i s n o t v a l i d s i n c e i t {d o e s n}^{'} t s a t i s f y

f (k + 25) = 3

∴ k = 11, 22

Commented by aurpeyz last updated on 09/Oct/22

t h a n k s

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