Which of the given values of x and y make the following pair of matrices equal?
\(\left[\begin{array}{cc}3 x-2 & y-x \\ 20 & -2\end{array}\right]\) and \(\left[\begin{array}{cc}4 & 2 \\ 14 x-8 & y-6\end{array}\right]\)

The graph given below represents which of the following function?

If C is the original value of the asset, S is the scrap value, n is the useful life of the asset and D is the annual depreciation, then

The value of \(c\) for which \(f(x)=x(x-3)^2, 0 \leq x \leq 3\), satisfies Rolle's theorem is:

In 5 trials of binomial distribution, the probability of 3 successes is 4 times the probability of 2 successes.
The probability of success in each trial is :

If for the following data :

YEAR (X)	2000	2001	2002	2003	2004	2005	2006
PRODUCTION (iN TONNES) (Y)	40	45	46	42	47	50	46

the equation of the straight line trend is \(y=45.143+1.036(x-2003)\), then the trend value for the year 2004 is

A random variable \(x\) has the following probability distribution.
\(\begin{array}{lllllll}x &1\ 2 \ \ \ 3 \ \ \ 4\ 5\ \ \ 6 \\P(x)_\alpha \ & 0.1\ 0.3 \ \beta\ 0.4\ 0.1\end{array}\)
In the above table, \(P[x=1\) or \(x=4]\) is equal to:

Which of the following is an ore of copper

A container contains 48 litres of buffalo milk. From this container 8 litres of buffalo milk was taken out and replaced with cow milk. This process was repeated further 3 more times. How much buffalo milk is there in the container now ?

The maximum number of equivalence relations on the set \(A=\{3,5,7\}\) is :

Answer the question on basis of passage given below :
Lyophobic sols like those of metals (Au, Ag, etc) are unstable and are easily precipitated by addition of electrolytes. However, it is observed that the addition of certain lyophilic colloids like gums, soaps, gelatine, etc. to lyophobic colloids (like a metal sol) render lyophobic colloids difficult to coagulate by the addition of electrolytes. The process is known as 'protection' and the lyophilic colloid. colloids are termed as Protective colloids. It is believed that the protective action of the lyophilic colloids is due to the covering up of the particles of the lyophobic colloid by those of the lyophilic Evidenty, smaller the gold number of a protective colloid, the greater is its protective action.
Critical micelle concentration of soap solutions lie in the range of :

Which of the following is not used to draw the ecological pyramid?

The break-even point is the level of production where