Impulse is defined as the product of force and the time duration for which it acts, which equals the change in momentum (Impulse-Momentum Theorem).

1. Impulse ($I$): $I = F \times \Delta t$. Dimensions = $[MLT^{-2}] \times [T] = [MLT^{-1}]$ .
2. Momentum ($p$): $p = mv$. Dimensions = $[M] \times [LT^{-1}] = [MLT^{-1}]$ .
3. Force: Force is the rate of change of momentum ($F = dp/dt$). Dimensions = $[MLT^{-2}]$ .
4. Torque: Torque is the moment of force. Dimensions = $[ML^2T^{-2}]$ .

Since Impulse and Momentum share the same dimensions $[MLT^{-1}]$, they are the correct pair.