If a 99% confidence interval states that the population mean is greater than 100 and less than 400, then the sample mean and margin of error respectively are:

In what ratio should a shopkeeper mix two types of rice, one costing ₹ \(20\) per kg and another costing ₹ \(40\) per kg to get a rice variety costing ₹ \(28\) per kg ?

\(\int_{\pi / 6}^{\pi / 3} \frac{1}{1+\sqrt{\cot x}} d x\) is :

The number of all possible matrices of order \(2 \times 3\) with each entry 0 or 1 is:

If order of matrices \(A, B\) and \(C\) are \(4 \times 3,5 \times 4\) and \(3 \times 7\) respectively, then order of \(C^{\prime} \times\left(A^{\prime} \times B^{\prime}\right)\) is :

If A = \(\left[\begin{array}{ccc}0 & 1 & -3 \\ -1 & 0 & 5 \\ 3 & -5 & 0\end{array}\right]\), then the value of \(\left|A^{2025}\right|\) is

The solution of \(y^{\prime}-y^{\prime \prime}=2 x\) is:
A. \(y=x^2+2 x+2\)
B. \(y=x^2+2 x+1\)
C. \(y=x+2\)
D. \(y=x^2-2 x+1\)
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Choose the incorrect statements from the options given below:
(A) S I unit of inductive reactance and capacitive reactance is Ohm
(B) Inductive reactance acting like resistance, stops the dc and ac both
(C) Inductive reactance and capacitive reactance both are proportional to frequency of ac supply,
(D) There is no power consumption in pure capacitive reactance.
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Read the passage carefully and answer the Questions
The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups. Later work showed that most of them didn't contain amino groups. They are very essential for the body. They has to be taken various diet or in the form of medicines also.
Vitamins are classified into two groups depending upon their solubility in water or fat.
Fat soluble vitamins are soluble in fat and oils but insoluble in water. They are stored in liver and adipose (fat storing) tissues Water-soluble vitamins are soluble in water. These must be supplied regularly in diet because they are readily excreated in urine and cannot be stored in our body.
Deficiency of Scurvy disease leads to

Copper can be extracted from:
(A) Cryolite
(B) Malachite
(C) Calamine
(D) Copper glance
(E) Cuprite
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Match the complex species given in List-l with the possible isomerism given in List-ll:

List-l Complex species	List-ll Isomerism
(A) \(\left[ Co \left( NH _3\right)_4 Cl _2\right]^{+}\)	(I) optical
(B) cis- \(\left[ Co ( en )_2 Cl _2\right]^{+}\)	(II) ionization
(C) \(\left[ Co \left( NH _3\right)_5\left( NO _2\right)\right] Cl _2\)	(III) coordination
(D) \(\left[ Co \left( NH _3\right)_6\right]\left[ Cr ( CN )_6\right]\)	(IV) geometrical

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Agrobacterium tumifaciens, is able to deliver a piece of DNA known as ______ to transform normal plant cell into a tumor cell.

Match List-l with List-II:

List-I (Interspecies Relationships)	List-II (Features)
(A) Commensalism	(I) One species is benefitted at the expense of the other
(B) Mutualism	(II) One species is harmed and the other is unaffected
(C) Amensalism	(III) Both the species are benefitted
(D) Parasitism	(IV) One species benefits and other remains unaffected

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