Maude wrote:
Is a > b ?
(1) a/b = 7/10
(2) a = 70/100*b
Is \(a>b \quad?\)
(1) \(\frac{a}{b} = \frac{7}{10}\)
Taking \(a = 7\) and \(b = 10,\quad \frac{a}{b}=\frac{7}{10}\)
Is \(a>b ? : No\) ; as \(7<10\).
Taking \(a = - 7\) and \(b = -10,\quad \frac{a}{b} = \frac{-7}{-10}=\frac{7}{10}\)
Is \(a>b ? : Yes\) ; as \(-7>-10\).
Statement \(1\) alone is not sufficient.
(2) \(a = \frac{70}{100}*b\)
\(a = \frac{70}{100}*b\) can be reduced to \(a = \frac{7}{10} *b\)
Taking \(a = 7\) and \(b = 10,\quad a=\frac{7}{10}*b\)
Is \(a>b ? : No\) ; as \(7<10\).
Taking \(a = - 7\) and \(b = -10,\quad a = \frac{7}{10}b\)
Is \(a>b ? : Yes\) ; as \(-7>-10\)
Statement \(2\) alone is not sufficient.
As Statement (1) and statement (2) are the same with only exception that in statement 1, b cannot be zero while statement 2, b can be 0.
Combining both will also be insufficient to answer:
Is a > b ?