P and Q are numbers. When P is divided by 5 the remainder is 4. When Q is divided by 5 the remainder is 2. What is the remainder when P x Q is divided by 5 ?
Answers
Answered by
5
Answer:
ans. 3
Step-by-step explanation:
reminder of P × reminder of Q÷5
=4×2/5
=8/5
hence reminder =3 ans.
Answered by
1
3 is is the remainder when P x Q is divided by 5 if P is divided by 5 the remainder is 4 and Q is divided by 5 the remainder is 2
Given:
P and Q are numbers
P is divided by 5 the remainder is 4
Q is divided by 5 the remainder is 2
To Find:
The remainder when P x Q is divided by 5
Solution:
P is divided by 5 the remainder is 4
=> P = 5a + 4
Q is divided by 5 the remainder is 2
=> Q = 5b + 2
where a , b are natural numbers
P x Q = (5a + 4)(5b + 2)
= 25ab + 10a + 20b + 8
= 25ab + 10a + 20b + 5 + 3
= 5(5ab + 2a + 4b + 1) + 3
= 5k + 3
Hence 3 is is the remainder when P x Q is divided by 5
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