Let’s examine each statement:
A. Erythropoietin production: Erythropoietin (EPO) is produced primarily by the kidneys, but by interstitial fibroblasts in the renal cortex near the proximal convoluted tubule.
B. Leydig cell function: Leydig cells in the testes are responsible for producing androgens, such as testosterone. This statement is correct.
C. Atrial Natriuretic factor secretion: Atrial Natriuretic Peptide (ANP) is secreted by the atria of the heart, not the seminiferous tubules of the testes (which produce sperm). This statement is incorrect.
D. Cholecystokinin production: Cholecystokinin (CCK) is a hormone produced by the cells of the duodenum (part of the gastrointestinal tract). This statement is correct.
E. Gastrin function: Gastrin is a hormone produced by the stomach lining that stimulates the secretion of gastric acid and pepsinogen (precursor to pepsin). However it acts on the parietal cells of the stomach, not the intestinal wall to promote pepsinogen secretion. This statement is incorrect.
Thus the correct answer is C, and E.
| List I | List II |
|---|---|
| A. Heart | III. Atrial natriuretic factor |
| B. Kidney | I. Erythropoietin |
| C. Gastrointestinal Tract | IV. Secretnin |
| D. Adrenal Cortex | II. Aldosterone |

A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2K while that in the middle has thermal conductivity K. The left end of the combination is maintained at temperature 3T and the right end at T. The rods are thermally insulated from outside. In steady state, temperature at the left junction is \(T_1\) and that at the right junction is \(T_2\). The ratio \(T_1 / T_2\) is 