The Chi-squared test would have been a useful test to compare the proportions in the scenario. However, due to the small sample size, Fisher’s exact test can be applied to analyse the significance of the difference. Adequate information is not given to determine what sample sizes were used to test the efficacy of the treatment, and to tell whether the treatment should be discontinued without further analysis on the data.

By the age of three months a child should become more fascinated with their hands and fingers; they can bring their hand to their mouth, open and close their hand, and shake and grab at dangling objects and toys. Their ability to roll over will come by the time the child is 6 months, at which time they will also be able to sit with support. Soon, at 8-9 months, attempts will be made to crawl and as they approach 12 months they will be able to pull on objects to stand.

The patient has features of type 1 diabetes mellitus, a disease of autoimmune aetiology. This also puts the patient at risk of developing other autoimmune disorders like Addison’s disease, Grave’s disease, and coeliac disease.All of the other options are non-autoimmune disorders.Diabetes mellitus is an increasing problem in both developing and developed countries alike.Some of the risk factors include:ObesityFamily historyFemale sex Asian and African racesPresence of acanthosis nigricans is seen with type 2 but not type 1 diabetesThe diagnosis is mostly incidental or subacute.The treatment aims are good blood sugar control, maintenance of normal BMI, and reduction of complications. The treatment modality also includes lifestyle modifications and cessation of smoking.Even after all this, diabetic ketoacidosis can still occur.Management of diabetes mellitus – NICE guidelines (Updated, 2015): – Standard release metformin should be offered from the moment of diagnosis.- HBA1c should be measured every three months. The target HBA1c level of 48 mmol/mol (6.5%) or lower is ideal for minimising the risk of long term complications.- Children should undergo an eye examination by an optician every two years.- Annual immunisation against influenza and pneumococcal infections are essential.- There is an increased risk of psychological and psychosocial difficulties if the child with type 1 diabetes is on insulin or oral hypoglycaemic medications. These include anxiety disorder, depression, behavioural and conduct disorders and family conflict.- Annual monitoring to be done for:Hypertension starting at diagnosis.Dyslipidaemia starting at diagnosis.Screening for microalbuminuria starting at diagnosis.Diabetic retinopathy from 12 years of age.

Angelman Syndrome is a genetic disorder that affects the nervous system. The features of this condition include intellectual disability, a delay in developmental milestones, and movement disorders. The features occur as a result of the deletion or mutation of the maternal copy of the UBE3A gene located on Chromosome 15q. Though individuals usually inherit one copy of this gene from each parent, only the maternal gene remains active in parts of the brain. This phenomenon is known as genetic imprinting, and is also seen in Prader-Willi syndrome.

A three-year child’s typical developmental milestones include walking up and down the stairs with alternating feet, jumping in a place with two feet together, and jumping forward for about 2 feet. The child can pedal a tricycle and can throw a ball over and underhand. An average child should start walking around 12-14 months of age and should be investigated as early as 18 months if they do not begin to walk. Skipping can be done by a child of 5 years of age. A child of 6-7 years of age can ride a bike with stabilizers and can balance on one foot for 20 seconds.

Cystic fibrosis is an autosomal recessive inherited disorder that affects the lungs or the pancreas. In the case of an affected child whose parents do not have the disorder but carry one copy of the mutated gene, each sibling has a 50% chance of being a carrier of the disease. They can inherit one copy of the gene from each parent. There is a 25 % chance that the child may inherit both mutated genes and be homozygous for the trait.

Coarctation of the aorta is one of the serious forms of congenital heart diseases characterized by a congenitally narrowed down proximal thoracic aorta. This narrowing is usually located distal to the origin of the left subclavian artery. Coarctation can occur in isolation but can accompany other cardiac lesions, including a bicuspid aortic valve. When the coarctation is located just above the left subclavian artery, raised blood pressure can be noted in the right arm. The most common type of murmur found in coarctation of the aorta is a diastolic murmur of aortic regurgitation due to the presence of a bicuspid aortic valve. Exercise augmented cardiac output is only affected in cases where coarctation of the aorta leads to heart failure. Hypertension persists even after the surgical repair and needs to be closely monitored.

Acoustic neuroma/vestibular schwannoma is a benign slow-growing tumour. The clinical picture of the child suggests neurofibromatosis type 1 (NF1), with cafe-au-lait spots and axillary and inguinal freckling.

Based on the clinical scenario, the most probable diagnosis is acute appendicitis.Acute appendicitis presents typically with central abdominal pain migrating to the right iliac fossa, anorexia, nausea and fever. The temperature usually does not go beyond 40C. Although appendicitis is a clinical diagnosis, an ultrasound scan showing an appendix width of greater than 6mm is diagnostic.Pyrexia, guarding, and pain are all in keeping with appendicitis.Other options:- Cholecystitis is very rare in children, and although gall stones are present, there is no jaundice or biliary tree dilatation suggested by the scan.- Impacted Gall Stone: There is no mention of common bile duct dilatation in the clinical scenario.- Sickle Cell Crisis: A sickle cell crisis should not cause guarding, or an ultrasound scan finding of a dilated appendix base.- Gastroenteritis: Gastroenteritis would not produce the ultrasound scan findings described above with a thickened appendix.

Blood culture and sensitivity will distinguish the bacteria that is responsible for the infection and the effective antibiotic treatment to which the bacteria is sensitive.