The common bile duct and the main pancreatic duct share a common opening into the duodenum, which is controlled by a sphincter. When a gallstone forms, sometimes it moves down and gets lodged in this sphincter. As a result, secretions from the gallbladder and pancreas are blocked from entering the lumen of the duodenum. What results do you predict, specifically caused by the absence of these blocked secretions

Lumen of duodenum will be acidic as compard to normal environment of the lumen of abdomen when processing a meal.
Digestion of some foods will not be be adequate due to the bloackage of enzymes.
Fat digestion will be decreased greatly because bile will be blocked too.

Explanation:

Breakdown of sugars and proteins occurs by the digestive juices secreted by the pancreas (pancreatic juice) while the bile duct is concenred with the emulsification of fats.

Highly alkaline bicarbonate juices are also produced and secreted by pancreas which raise the pH of the duodenum.

Thus, when both of them are absent, digestion of the food will be affected and becomes impaired and also causing the pH of duodenum to turn acidic. Also the bile salts, bilirubin and biliverd in the bile juice which are important for emulsification of fats and their consequent digestion.

Hence,

Lumen of duodenum will be acidic as compard to normal environment of the lumen of abdomen when processing a meal.
Digestion of some foods will not be be adequate due to the bloackage of enzymes.
Fat digestion will be decreased greatly because bile will be blocked too.