Question

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

• A. True
• B. False

Answer 1

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 .