Carpal Tunnel Syndrome: This condition is common in the elderly and can be exacerbated by activities that involve repetitive wrist flexion or extension, which might not be immediately apparent but could be part of daily routines. The symptoms worsening at the end of the day are consistent with carpal tunnel syndrome, as fluid accumulation and nerve compression can increase with activity.

Peripheral Neuropathy: Given the patient's prediabetes status, peripheral neuropathy is a plausible diagnosis. Although it more commonly affects the feet, it can also affect the hands, especially in a diabetic or prediabetic patient. The numbness could be a manifestation of nerve damage due to elevated blood sugar levels.
Cervical Spondylosis: This condition involves wear and tear on the discs in the neck, which can lead to nerve compression. It's common in the elderly and can cause numbness or tingling in the hands, especially if the nerves that supply the hands are compressed.
Hypertension-related Vascular Disease: While less direct, long-standing hypertension can lead to vascular changes that might affect blood flow to the nerves, potentially causing numbness. However, this would be less common and might be associated with other symptoms.

Multiple Myeloma: Although rare, multiple myeloma can cause peripheral neuropathy and is more common in the elderly. It's crucial to consider this diagnosis due to its severe implications and the need for early treatment.
Vitamin B12 Deficiency: This condition can cause neuropathy and is important not to miss, as it's treatable with supplementation. Elderly individuals are at higher risk due to decreased absorption and dietary deficiencies.
Thyroid Disorders: Both hypothyroidism and hyperthyroidism can cause neuropathy and are relatively common. They are important to diagnose due to the availability of effective treatment.

Amyloidosis: A group of diseases that can cause peripheral neuropathy, amyloidosis is rare but can be considered in the differential diagnosis of an elderly patient with unexplained neuropathy.
Sjögren's Syndrome: An autoimmune disorder that can cause neuropathy among other symptoms, Sjögren's syndrome is less common but should be considered in patients with suggestive symptoms.
Lyme Disease: If the patient has been exposed to ticks, Lyme disease could be a rare cause of neuropathy, including numbness in the hands.