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If a number P leaves a remainder 4 when divided by 44, then what is the remainder when P is divided by 4?
- a)0
- b)1
- c)2
- d)3
- e)4
Correct answer is option 'A'. Can you explain this answer?
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If a number P leaves a remainder 4 when divided by 44, then what is th...
To find the remainder when a number P is divided by 4, we need to consider the possible remainders when dividing P by 44.
The given information states that P leaves a remainder of 4 when divided by 44. This means that P can be expressed as:
P = 44k + 4
where k is an integer.
Now, we can rewrite this expression as:
P = 4(11k + 1)
This shows that P is a multiple of 4, plus 4.
To find the remainder when P is divided by 4, we can divide both sides of the equation by 4:
P/4 = (4(11k + 1))/4
Simplifying this expression, we get:
P/4 = 11k + 1
Now, we can see that P/4 leaves a remainder of 1 when divided by 4. This is because the term 11k is a multiple of 4, which does not affect the remainder. The only remaining term is 1, which is the remainder.
Therefore, the remainder when P is divided by 4 is 1.
Hence, the correct answer is option B) 1.
The given information states that P leaves a remainder of 4 when divided by 44. This means that P can be expressed as:
P = 44k + 4
where k is an integer.
Now, we can rewrite this expression as:
P = 4(11k + 1)
This shows that P is a multiple of 4, plus 4.
To find the remainder when P is divided by 4, we can divide both sides of the equation by 4:
P/4 = (4(11k + 1))/4
Simplifying this expression, we get:
P/4 = 11k + 1
Now, we can see that P/4 leaves a remainder of 1 when divided by 4. This is because the term 11k is a multiple of 4, which does not affect the remainder. The only remaining term is 1, which is the remainder.
Therefore, the remainder when P is divided by 4 is 1.
Hence, the correct answer is option B) 1.
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