Question

According to Euclid’s axioms, the \[\underline {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\] is greater than the part.
A. Half
B. Large
C. Whole
D. None of these

Answer 1

Hint: In this problem, consider three numbers P,Q and R such that R be the sum of P and Q. Then, the sum R is always greater than P and Q. This will give us the required solution.

Complete step by step solution:
Let P,Q and R be the numbers.
According to Euclid’s axioms, consider, the sum of number P and Q is equal to R. Therefore,
\[P + Q = R\]
If R is the sum of P and Q, then P and Q must be less than R.
For example, let us consider \[P = 6,Q = 12\,\,{\text{and}}\,\,R = 18\].
\[6 + 12 = 18\]
It is clear that the sum 18 is greater than 6 as well as 12.
Thus, according to Euclid’s axioms, the whole is greater than the part.

Note: The sum of two numbers is always greater than the individual numbers. The whole is greater than the art. According to Euclid’s axioms, if equals are subtracted from the equals, the remainders are equal.