Question

A farmer grows vegetable in his field. In $\frac{2}{3}$ of the field, he grows potatoes, in $\frac{1}{4}$ he grows onions and in the rest of the field he grows tomatoes. In what part of the field does he grow tomatoes?

• A. $\frac{1}{12}$
• B. $\frac{11}{12}$
• C. $\frac{3}{4}$
• D. $\frac{1}{6}$

Answer 1

The correct option is A $\frac{1}{12}$

Part of field in which potatoes are grown $=\frac{2}{3}$

Part of field in which onions are grown $=\frac{1}{4}$

$\Rightarrow$ Total part of field covered by potatoes and onions $=\frac{2}{3}+\frac{1}{4}=\frac{11}{12}$

$\therefore$ Remaining part of field in which tomatoes are grown $=1-\frac{11}{12}=\frac{1}{12}$