Question

If P : Q = $1\frac{1}{2}:3\frac{1}{2}$ and Q : R = $5\frac{1}{4}:7\frac{1}{2}$, then P : Q: R is 3: 7: 10.

If true then enter $1$ and if false then enter $0$

Answer 1

Given, $P:Q=1\frac{1}{2}:3\frac{1}{2}=\frac{3}{2}:\frac{7}{2}=3:7$

And, $Q:R=5\frac{1}{4}:7\frac{1}{2}=\frac{21}{4}:\frac{15}{2}=\frac{\frac{21}{4}}{\frac{15}{2}}=7:10$

In the given ratios "Q" is the common term, and the values of Q in both ratios are equal.

$\therefore P:Q:R=3:7:10$