Which one of the following statement is incorrect about sinking fund?

The corner points of the bounded feasible region determined by the system of linear constraints are (0,10), (5, 5), (15, 15), (0, 20). Let \(z=p x+q y\) where \(p, q>0\). Then the condition on p and q so that the maximum value of z occurs at (15, 15) and (0, 20) is

If \(y=5 \cos x-3 \sin x\), then \(\frac{d^2 y}{d x^2}\) is equal to :

The equation of normal at the point (1, 1) on the curve \(2y + x^3 = 3\) is:

If the function \(f(x)=2 x^2-k x+7\) is increasing on \([1,2]\), then \(k\) lies in the interval

The rise in prices before Christmas is an example of

The angle between the planes whose equations are \(4 x+8 y+z=8\) and \(y+z=4\) is:

The following data are from a simple random sample: 6, 8, 11, 9, 15, 17,
then the point estimate of the population mean is:

The first isolated restriction endonuclease was:

Read the passage carefully and answer the following questions
Aldehydes, carboxylic acids and ketones are widespread in the animal and plant kingdoms. They play a pivotal role in various biochemical processes of life. Their presence in nature adds fragrance and flavor. These compounds are widely used in food products, pharmaceuticals, paints, resins and other important product industries. These compounds are prepared by various laboratory methods, which mainly include oxidation, formylation, acylation and reduction. Due to the polar nature of the carbonyl group in aldehydes and ketones, they can exhibit different reactions like nucleophilic addition. They do exhibit redox and various condensation reactions which lead to the formation of various important compounds. On the other hand, the carboxylic acids are mainly prepared by oxidation and hydrolysis of different compounds. The carboxylic acid consists of a carbonyl group and the hydroxy group (attached to the carbonyl carbon atom). This makes it possible for the carboxylic acid to participate in various chemical reactions which involve cleavage of the C-OH bond and the O-H bond along with the reactions involving the complete - COOH group.
The IUPAC name of following compound is \(OHC-C_6H_4-CHO-p\)

The linear inequalities satisfying the shaded feasible region given in the figure are

(A) \(x \geq 0, \quad y \geq 0, \quad 2 x+y \geq 2\)
(B) \(x \geq 0, \quad y \geq 0, \quad 2 x+y \leq 2\)
(C) \(x \geq 0, \quad y \geq 0, \quad 2 x+y \geq 2, \quad x+2 y \leq 8, \quad x-y \leq 1\)
(D) \(x+2 y \geq 8, \quad x-y \geq 1\)
Choose the correct answer from the options given below:

The sides of an equilateral triangle are increasing at the rate of \(2 cm / sec\). The rate at which the area increases when the side is 10 cm , is

In a semiconductor:
A. there are no free electrons at any temperature
B. there are no free electrons at 0 K (zero Kelvin)
C. the number of free electrons is less than that in a conductor
D. the number of free electrons increases with temperature
Choose the correct answer from the options given below: