1) A spherical mammalian cell of radius ‘R’ is infected by a single coccus bacterium having 100 times smaller radius. Given that the host cell will lyse when 1/2 of the cell volume is taken up by the bacterium, approximately how many times will the bacterium divide before the host cell is lysed? Options : 1. 19 2. 3X105 3. 106 4. 40 2) Two experiments were conducted with an enzyme following Michaelis Menten kinetics at substrate concentrations of 0.5 g/l and 1 g/l. If the enzymatic reaction velocity increases approximately 2-fold at the higher substrate concentration, the Km for the enzyme would be around: (The answer is 1g/L. Please explain why this is the answer with diagram if applicable) Options : 1. 0.001 g/l 2. 0.01 g/l 3. 0.1 g/l 4. 1 g/l 3) An essential oil has antimicrobial activity with an MIC of 15 mg/Kg and can be used as a biopreservative. This activity is lost at the rate of 1% of the remaining concentration, per day. The minimum amount of oil to be added (mg) to 1 Kg of food product that is stored for 30 days is: Options : 1. 21.43 2. 17.65 3. 20.28 4. 19.50 4) An unbiased coin is tossed 100 times in experiment I and 1000 times in experiment II. Which one of the following statements is most likely to be TRUE regarding the ratio between heads and tails in experiment I and II? options: 1. It will be closer to one in experiment I 2. It will be closer to one in experiment II 3. It will be equal to one in both experiments 4. It will be equally away from one in both experiments