Question

Arrange these ratios in ascending order: A. \(1:3\), B. \(1:4\), C. \(2:7\), D. \(3:5\), E. \(5:8\).

• A. \(B<A<C<E<D\)
• B. \(C<A<D<B<E\)
• C. \(B<C<A<D<E\)
• D. \(E<B<A<D<C\)

Hint:

To compare ratios, convert them into fractions or decimals and then arrange.

Answer 1

The Correct Option is C

To arrange ratios in ascending order, convert each ratio into fraction or decimal. \[ A=1:3=\frac{1}{3}=0.333\ldots \] \[ B=1:4=\frac{1}{4}=0.25. \] \[ C=2:7=\frac{2}{7}=0.2857\ldots \] \[ D=3:5=\frac{3}{5}=0.6. \] \[ E=5:8=\frac{5}{8}=0.625. \] Now arrange from smallest to largest: \[ 0.25<0.2857<0.333<0.6<0.625. \] Thus: \[ B<C<A<D<E. \] Hence, the correct answer is option (C).