If a young man drives his vehicle \(25 km / hr\), he has to spend Rs. 2 per km on petrol.
If he drives it at faster speed of \(40 km / hr\), the petrol cost increases to Rs. 5 per km.
He has Rs. 100 to spend on petrol and travel within one hour. The maximum distance he travels is :

The effective rate that is equivalent to a nominal rate of \(12 \%\) compounded quarterly is :

In a survey of a sample of 300 individuals, 180 gave response 'Yes',
100 gave response 'No' and 20 gave `No response'
Find the point estimate of proportion in the population who responded 'Yes'

If x = a sin t and y = a \(\left(\cos t+\log \tan \frac{t}{2}\right)\) then \(\frac{d^2 y}{d x^2}\) is:

If the objective function \(z=p x+q y\) has its maximum value at the points \((2,1)\) and \((0,6)\), then the relationship between \(p\) and \(q\) is :

If the radius of the spherical ball is increasing at the rate of 1 m/sec and the radius of the ball is 3 meter then the volume of the ball is increasing at the rate of

The value of the definite integral \(I=\int_0^2 x \sqrt{2-x} d x\) is :

Observe the given diagram and answer the following question :

Genetically engineered insulin was made by Eli Lilly in 1983 by using :

In flowering plants, zygote develops into :

Half life of the zero order reaction is:

The time required for a 50 Hz alternating current to reach the peak value starting from zero

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in ‘Swiss cheese’ are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
The greater the BOD of waste water-

Choose the correct statements from the following related to glycine amino acid.
(A). Water soluble \(\alpha\)-amino acid.
(B). It has both amino and carboxylic groups in its structure.
(C). It is optically inactive.
(D). It is a non-essential amino acid.
Choose the correct answer from the options given below :