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Question

If a, b, c and d are divisible by x, then (a + b + c + d) is also divisible by x.


A

True

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B

False

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Solution

The correct option is A

True


Proof:- If a is divisible by x and gives quotient m then:

a=m×x

Similarly if b is divisible by x and gives quotient n

b=n×x

c=o×x

d=p×x

Adding all the numbers

(a + b + c + d) = mx + nx + ox + px

(a + b + c + d) = x (m + n + o + p) + 0

∴ Remainder = 0.

So, a + b + c + d is also divisible by x .


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