The number in the form of 4p + 3 where p is a whole number will always be
Answers
Question:
The number in the form of 4p + 3 where p is a whole number will always be
(A) odd
(B) even
(C) even or odd
(D) multiple of 3
Answer:
(A) odd is the correct answer.
Step-by-step explanation:
Whole numbers ranges from 0 to infinity.
According to question p is a whole number
Let's put some whole numbers to check the nature of solution.
p = 0 => 4p + 3 = 4(0) + 3 = 3
p = 1 => 4p + 3 = 4(1) + 3 = 7
p = 2 => 4p + 3 = 4(2) + 3 = 11
p = 3 => 4p + 4 = 4(3) + 3 = 15
p = 4 => 4p + 3 = 4(4) + 3 = 19
The solution is odd and not all solutions are multiple of 3.
And we won't gain an even number as solution because there p is getting multiplied with an even number which will result in even number and +3 being odd is getting added to it.
By this we can conclude that the number in the form of 4p + 3 where p is a whole number will always be odd.
Answer:
odd is the correct ans for this question