Option a is the correct answer The Khalji dynasty ruled the Delhi Sultanate for the shortest period. It lasted from 1290 to 1320, a mere 30 years. The other dynasties listed in the question ruled for longer periods of time. The Tughluig dynasty lasted from 1320 to 1414, the Sayyid dynasty lasted from 1414 to 1451, and the Lodi dynasty lasted from 1451 to 1526.