$A$ healthy person eats the following diet: $5 \ gm$ raw sugar,$4 \ gm$ albumin,$10 \ gm$ pure buffalo ghee adulterated with $2 \ gm$ vegetable ghee (hydrogenated vegetable oil) and $5 \ gm$ lignin. How many calories is he likely to get?

The three boxes in this diagram represent the three major biosynthetic pathways in aerobic respiration. Arrows represent net reactants or products. Arrows numbered $4, 8, 12$ can all be

In an entrance test,there are multiple-choice questions. There are four possible answers to each question,of which one is correct. The probability that a student knows the answer to a question is $90\%$. If he gets the correct answer to a question,then the probability that he was guessing is:

$A$ solution of concentration $C \ g \ \text{equiv}/L$ has a specific resistance $R$. The equivalent conductance of the solution is

$A$ block rests on a rough inclined plane making an angle of $30^o$ with the horizontal. The coefficient of static friction between the block and the plane is $0.8$. If the frictional force on the block is $10 \, N$,the mass of the block (in $kg$) is (take $g = 10 \, m/s^2$)

Two nuclei have their mass numbers in the ratio of $1 : 3.$ The ratio of their nuclear densities would be