Match List - I with List - II

List - I	List - II
(A) Line: x = 2y + 1 = z - 1	(I) Crosses xz-plane at (1,0,1)
(B) Line: x + 1 = 2y + 1 = z	(II) Crosses xz-plane at (0,0,1)
(C) Line: x - 1 = 2y = z + 1	(III) Crosses xz-plane at (1,0,-1)
(D) Line: x - 1 = 2y = z - 1	(IV) Crosses xz-plane at (1,0,2)

Choose the correct answer from the options given below:

The area of the region bounded by \(y=2 x-x^2\) and \(x\)-axis is :

Given that \(p_0\) and \(p_1\) represent base and current prices of a commodity, \(q_0\) and \(q_1\) refer to the base and current quantities, then the formula used to calculate price relatives

If \(\left[\begin{array}{ccc}x+1 & 3 & 9 \\ -2 & 5 & 3 \\ 0 & 0 & z-3\end{array}\right]=\left[\begin{array}{ccc}0 & 3 & 9 \\ -2 & y-5 & 3 \\ 0 & 0 & 10\end{array}\right]\) then the values of \(x, y\) and \(z\) are:

The maximum value of the function \(f(x)=-x^2+2 x-1\) is:

Match List-I with List-II

List - I (Differential Equations)	List - II (Degree/Order)
(A) Degree of the differential equation \(\frac{d^3 y}{d x^3}+2 \log x \cdot y=0\)	(I) 3
(B) Order of the differential equation \(\frac{d^4 y}{d x^4}+\left(\frac{d y}{d x}\right)^4+x y=0\)	(II) 2
(C) Degree of the differential equation \(\left(\frac{d^4 y}{d x^4}\right)^2+\left(\frac{d y}{d x}\right)^3+x^2 y=0\)	(III) 1
(D) Order of the differential equation \(\frac{d^3 y}{d x^3}+y\left(\frac{d y}{d x}\right)^3=0\)	(IV) 4

Choose the correct answer from the options given below:

It is currently 9:40 AM. What will be the time in next 610 hours?

The value of \(\int_{-a}^a f(x) d x\) where \(f(x)=\frac{7^x}{1+7^x}\), is :

The resistivity of the material of a wire of length 15 m, area of cross-section \( 6 \times 10^{-7} \text{ m}^2 \) and resistance 10 \(\Omega\) will be

The armature coil of a generator has 20 turns and its area is \( 0.127 \, \text{m}^2 \). How fast approximately should it be rotated in a magnetic field of \( 0.2 \, \text{Wb m}^{-2} \) so that the peak value of induced emf is 160 V?

Which of the following statement(s) is/are incorrect?
(A) The Kirchhoff's laws are equally applicable in alternating current circuit and direct current circuits.
(B) It is not necessary that the wire stretched on the meter bridge must have a uniform cross-sectional area.
(C) The internal resistance of the cell does not affect the reading of the null point in metre bridge.
(D) Electrical potential has no direction, the electrical potential gradient has a direction.

Read the following passage carefully.
Restriction enzyme
Restriction enzymes cut the strand of DNA a little away from the center of the palindrome sites, but between the same two bases on the opposite strands. This leaves single stranded portions at the ends. There are overhanging stretches called sticky ends on each strand. These are named so because they form hydrogen bonds with their complementary cut counterparts. This stickiness of the ends facilitates the action of the enzyme DNA ligase. The word palindromes refer to group of letters that forms the same words when read both forward and backward. Restriction endonucleases are used in genetic engineering as molecular scissors.
Which one of the following enzyme helps to join DNA?

"Wood spirit " is