If \(y=x^4-10\) and if x changes from 2 to 1.99, then the changed value of y is approximately :

Let \(A=\left[a_{i j}\right]\) be a square matrix of order 3 with each entry either 0 or 1 .
Then the number of all such possible matrices is :

If \(\left|\begin{array}{ll}2 & 4 \\ 5 & 1\end{array}\right|=\left|\begin{array}{cc}2 x & 4 \\ 6 & x\end{array}\right|\), then \(x\) is equal to:

The corner points of the bounded feasible region determined by the system of linear constraints are \((0,0), (5,0), (6,5)\), \((6,8),(4,10), (0,8)\). Let \(Z=3 x-4 y\) be the objective function. The minimum value of \(Z\) occurs at

If \(\left[\begin{array}{ll}x-y & 0 \\ x+y & 1\end{array}\right]\) is an identity matrix and \(\left[\begin{array}{ll}x & y \\ x & x\end{array}\right]\) is a singular matrix then :

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

For the LPP :
Maximise \(z=4 x+y\)
subject to constraints
\(x+y \leq 50, \quad 3 x+y \leq 90, \quad x \geq 0, y \geq 0\) the maximum value of \(z\) is :

A die is thrown twice. The probability of occurrence of 5 at least once is:

A solenoid of length 0.4 m having 500 turns of wire carries a current of 3 A.
A coil of 10 turns and radius 0.01 m carries a current of 0.4 A.
What will be the torque required to hold the coil in the middle of the solenoid with its axis perpendicular to the axis of the solenoid?

The degradation of humus by microbes to release inorganic nutrients is known as-

Which phenomenon occurs when an electric field is applied to a colloidal solution and electrophoresis is prevented?
(A) \quad Reverse osmosis takes place
(B) \quad Electroosmosis takes place
(C) \quad Dispersion medium begins to move in an electric field
(D) \quad Dispersion medium becomes stationary
Choose the correct answer from the options given below :

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
Hind II is a restriction endonuclease because

In a circuit, resistance \( R_1 \) is connected in series with the parallel combination of resistances \( R_2 \) and \( R_3 \). The currents passing through the resistances \( R_1, R_2 \) and \( R_3 \) are \( I_1, I_2 \) and \( I_3 \), respectively. What will be the ratio \( \frac{I_3}{I_1} \) of currents in terms of the resistances connected in the circuit?