Coconut fibers are used for making:

• Ropes
• Mats
• Baskets
• All the above

Which of the following statements are correct about the developments in the second half of the 19th century?

• Telecommunication lines were set up by the British.
• The first airport was made in Juhu.
• Railway lines were increased.
• Mass media like television was introduced.

A car starts from rest origin on a straight line with an acceleration "a" given by the relation $a=\frac{25}{(x+2)^{3}}$ where "a" is in m/s^2 and "x" is in metres. The maximum velocity of the car will be (where "x" is the position of the car):

A $2.5$ m/s

B $5$ m/s

C $10$ m/s

D Infinite

8 9 20 63 256 1285 ?

Option 1) 6430

Option 2) 7450

Option 3) 7716

Option 4) 7746

Option 5) None of these

The numbers of lone pairs and bond pairs in hydrazine are, respectively:

• Option 1) 2 and 4
• Option 2) 2 and 6
• Option 3) 2 and 5
• Option 4) 1 and 5

A particle having a charge $q=1 , \text{C}$ and mass $m=1 , \text{kg}$ is released from rest at the origin. There are electric and magnetic fields given by $\vec{E}=10\hat{i} , \text{N/C}$ for $x \leq 1.8 , \text{m}$ and $\vec{B}=-5\hat{k} , \text{T}$ for $1.8 , \text{m} \leq x \leq 2.4 , \text{m}$. A screen is placed parallel to $y-z$ plane at $x=3 , \text{m}$. Neglect gravitational forces. The speed with which the particle will collide with the screen (in $\text{m/s}$) is

A) 3
B) 6
C) 9
D) 12

The defeat of government in Rajya Sabha leads to:

• Its dismissal by the President

• Resignation of the Prime Minister

• Advice by the President to the Prime Minister to relinquish office

• None of the above

Which of the following is produced from coal tar:

• synthetic dyes
• drugs
• perfumes
• all

In the figure below, a ray OC extends from a point O on a straight line AB. If angle AOC equals 135 degrees, find (angle BOG)/3.

A) 65 degrees B) 15 degrees C) 20 degrees D) 45 degrees

Water flows through a horizontal tube of variable cross-section figure. The area of cross-section at $A$ and $B$ are $4 \mathrm{~mm}^{2}$ and $2 \mathrm{~mm}^{2}$ respectively. If $1 \mathrm{cc}$ of water enters per second through $A$, find (a) the speed of water at $A$, (b) the speed of water at $B$, and (c) the pressure difference $P_{A}-P_{B}$.

A particle of charge equal to that of an electron, -e, and mass 208 times of the mass of the electron (called a mu-meson) moves in a circular orbit around a nucleus of charge +3e. (Take the mass of the nucleus to be infinite). Assume that the Bohr model of the atom is applicable to this system. If the value of (n) for which the radius of the orbit is approximately the same as that of the first Bohr orbit for the hydrogen atom, then the value of (\frac{n}{4}) rounded off to the nearest integer is:

2

Respiratory enzymes are activated by:

• Option 1) N and P
• Option 2) Mg and Mn
• Option 3) K and Ca
• Option 4) S and Fe

The mutually beneficial relationship found between algae and fungi in lichens is called:

• Saprotrophic relationship

• Autotrophic relationship

• Symbiotic relationship

• Parasitic relationship

Mixing of non-reactive gases is generally accompanied by:

Mixing of non-reactive gases is generally accompanied by an:

• Decrease in entropy
• Increase in entropy
• Increase in enthalpy
• Decrease in temperature

In the Argand plane, the vector $z = 4 - 3i$ is turned in the clockwise sense through $180^{\circ}$ and stretched three times. The complex number represented by the new vector is:

A) $12 + 9i$
B) $12 - 9i$
C) $-12 - 9i$
D) $-12 + 9i$

Consider the following statements with regard to India - China Trade Relations: Which of the statements given above are correct?

Option 1) 1 and 2 only

Option 2) 2 and 3 only

Option 3) 1 and 3 only

Option 4) 1, 2 and 3

A conductor of length l is placed perpendicular to a horizontal uniform magnetic field B. Suddenly a certain amount of charge is passed through it, when it is found to jump to a height h. The amount of charge that passes through the conductor is

A $\frac{m \sqrt{g h}}{\text{BI}}$ B $\frac{m \sqrt{g h}}{2BI}$ C $\frac{m \sqrt{2gh}}{BI}$ D given data is insufficient

The circles described on a focal length (of a parabola) as diameter always touch:

• The tangent at the vertex
• The axis
• The directrix
• Latus rectum

For the given compounds: Here x, y, z represent enol content. The correct order is:

• x > y > z
• z > y > x
• y > x > z
• x > z > y

Library 'X' in Thanjavur, Tamilnadu, was built in the 16th century, during the time of the Nayak dynasty. Later, Vyankojiraje Bhosale and his successors kept expanding 'X'. What is 'X'?

Saraswati Mahal Granthalay