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

True

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False

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Solution

The correct option is A
True

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

$a = m \times x$

Similarly if b is divisible by x and gives quotient n

$b = n \times x$

$c = o \times x$

$d = p \times x$

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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