SSC MTS 10 Feb 2026 Shift 2 Paper

Concept:The ratio of the squares of two numbers is found by squaring each term of their given ratio. This is called the duplicate ratio.Explanation:Let the two numbers be $3x$ and $4x$. Their sum is $3x + 4x = 7x = 84$, so $x = 12$. The numbers are $36$ and $48$. Square them: $36^2 = 1296$ and $48^2 = 2304$. Simplify $1296 : 2304$ by dividing both by $144$ to get $9 : 16$. Alternatively, directly square the given ratio: $(3:4)^2 = 3^2 : 4^2 = 9:16$. The sum $84$ is not needed for the ratio of squares.Answer:The ratio of their squares is $9:16$, i.e., option A.