Irregular trends in a time series are caused by
(A) Epidemics
(B) Strikes
(C) Festival season
(D) Floods
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Order and degree of the differential equation \(\left[1+\left(\frac{d y}{d x}\right)^3\right]^{\frac{5}{4}}=\frac{d^2 y}{d x^2}\) are:

If \(\operatorname{det}\left(\begin{array}{cc}2 x & 5 \\ 8 & x\end{array}\right)=\operatorname{det}\left(\begin{array}{cc}6 & -2 \\ 1 & 1\end{array}\right)\), then the value of \(x\) is

Let \(\left|\begin{array}{cc}3 x & -7 \\ 1 & 4\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & x\end{array}\right|\), then value of \(x\) is :

Let us suppose that two independent random samples of sizes \(n_1\) and \(n_2\) have been drawn from the same normal population.
Then the degree of freedom of the statistic \(t\)-distribution is

Match List-I with List-II

List-I (Example)	List-II (Time-series component)
(A) Labour strike	(I) Secular-trend
(B) Continuous decline in death rate	(II) Seasonal
(C) Rise in prices before Diwali	(III) Cyclical
(D) Rise and fall of the share-market	(IV) Irregular

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Match List - I with List - II

List - I	List - II
(A) Corner point of a feasible region	(I) The line segment joining any two arbitrary points of the region always lies entirely within the region
(B) Bounded feasible region	(II) can not be enclosed within a circle
(C) Unbounded feasible region	(III) can be enclosed within a circle
(D) Convex region	(IV) is a point of intersection of two boundary lines in the feasible region

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From the following statement regarding the order of reaction, the statement that is not true is

Read the passage carefully and answer
Carbohydrates are essential for both plants and animals. Some common examples of carbohydrates are glucose, fructose, sucrose, glycogen, cellulose and starch. They form a major portion of our food. Honey has been used for a long time as an instant source of energy in Ayurvedic medicine. Carbohydrates are used as storage molecules in both plants and animals. The cell wall of bacteria and plants is made of cellulose. We use cellulose in the form of wood for making furniture and as cotton fiber for clothing. They also provide raw material for textiles, paper, lacquers, and breweries. Carbohydrates are classified as Monosaccharides, Oligosaccharides and Polysaccharides on the basis of their behavior towards hydrolysis.
Monosaccharides cannot be hydrolyzed further to simpler units whereas oligosaccharides can yield 2-10 units of monosaccharides on hydrolysis. Polysaccharides, which are non-sugars yield a large number of monosaccharide units on hydrolysis.
Answer the following questions about carbohydrates:
Animal starch is popularly known as

In the given circuit, the resistance of the galvanometer is \( G = 100 \text{ } \Omega \). Resistance box R contributes \( 4900 \text{ } \Omega \). When key K is closed. The needle of the galvanometer deflects to the 20th division. The figure of merit of the galvanometer is:

The resistivity of an iron wire is \( 10 \times 10^{-8} \, \Omega \text{ m} \). The resistance of an iron wire is \( 5 \, \Omega \). If its length as well as thickness is doubled then its resistivity will be :

It is known that \(3\%\) of plastic bags manufactured in a factory are defective. Using the Poisson distribution on a sample of 100 bags, the probability of at most one defective bag is :

Match List-I with List-II

List-I  (Geological periods)	List-II (Plant forms)
(A) Cretaceous	(I) Seed ferns
(B) Jurassic	(II) Progymnosperms
(C) Carboniferous	(III) Sphenopsids
(D) Devonian	(IV) Conifers

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