1. Weigh or lightly spoon flour into dry measuring cups; level with a knife. Combine flour, curry powder, cumin, and salt, stirring with a whisk. Combine 1/3 cup water and egg, stirring with a whisk. Add egg mixture to flour mixture; stir until smooth. Cover; let stand 10 minutes.
2. Place sweet potato in a small saucepan; cover with water. Bring to a boil; reduce heat, and simmer 5 minutes or until just tender. Drain and cool to room temperature. Add sweet potato, cauliflower, onion, cilantro, garlic, and jalapeño to flour mixture; stir until well combined (batter will be very thick).
3. Heat a large nonstick skillet over medium-high heat. Add 1 1/2 tablespoons oil to pan, swirling to coat. Drop 2 tablespoons batter into pan, and flatten slightly with the back of a spoon. Repeat procedure to make 6 pakoras. Reduce heat to medium, and cook 4 minutes on each side or until browned. Remove from pan; drain on paper towels. Repeat procedure with remaining 1 1/2 tablespoons oil and batter. Serve with chutney.