AFCAT II 23 Aug 2025 Shift 2 Paper

To find the ratio of $x : z$, we will make the value of $y$ common in both ratios by finding the Least Common Multiple (LCM).Calculations:LCM of the y -values (5 and 16) is 80 .First ratio: $x : y = 12 : 5$To make the y -value 80 , multiply both terms by 16 (since $\frac{80}{5}=16$ ).$x:y=(12 \times 16):(5 \times 16)$$\Rightarrow x:y=192:80$Second ratio: $z:y=21:16$To make the y -value 80 , multiply both terms by 5 (since $\frac{80}{16}=5$ ).$z:y=(21 \times 5):(16 \times 5)$$\Rightarrow z:y=105:80$Now, we can find the ratio of $x : z$ from the adjusted ratios:$\Rightarrow x:z=192:105$To simplify, divide both terms by their Greatest Common Divisor (GCD), which is 3 .$\Rightarrow x:z=\left(\frac{192}{3}\right):\left(\frac{105}{3}\right)$$\Rightarrow x:z=64:35$