List of practice Questions

An equilateral triangle $ABC$ is cut from a thin solid sheet of wood. (See figure) $D, \, E$ and $F$ are the mid-points of its sides as shown and $G$ is the centre of the triangle. The moment of inertia of the triangle about an axis passing through $G$ and perpendicular to the plane of the triangle is $I_{0}$ . If the smaller triangle $DEF$ is removed from $ABC,$ the moment of inertia of the remaining figure about the same axis is $I.$ Then:

1-Butanol is oxidised with acidified $K_2Cr_20_7$, it gives

1 a.m.u is equal to

$1$, $3$, $5$, $7$-Octatetraene contains $X$ $\sigma$-bonds and $Y$ $\pi$-bonds. $'X'$ and $'Y'$ are

If $b$ and $c$ are odd integers, then the equation $x^2 + bx + c = 0$ has

If $x = a + b, y = a \omega +b \omega ^2$ and $z = a \omega^2 + b \omega$, then which one of the following is true.

The principal value of the $arg (z)$ and $ | z |$ of the complex number $z=1+\cos\left(\frac{11\pi}{9}\right)+ i \, \sin\frac{11\pi}{9}$ are respectively

$\left(\frac{1}{1-2i} + \frac{3}{1+i}\right) \left(\frac{3+4i}{2-4i}\right)$ is equal to :

If $P$ is the affix of $z$ in the Argand diagram and $P$ moves so that $\frac{z-i}{z-1}$ is always purely imaginary, then locus of $z$ is

Leaf abscission is caused by

Apples are generally wrapped in waxed paper to

Light break reaction occurs in

Which of the following does not exhibit seed dormancy ?

If the three linear equations $x + 4ay + az = 0$ $x + 3 by + bz = 0$ and $x + 2cy + cz = 0$ have a non-trivial solution, then a, b, c are in

In a myelinated neuron, two adjacent myelin sheaths are separated by gaps called

The matrix 'X' in the equation $AX = B$, such that $A = \begin{bmatrix}1&3\\ 0&1\end{bmatrix}$ and $ B = \begin{bmatrix}1&-1\\ 0&1\end{bmatrix}$ is given by

The value of $ \begin{vmatrix} b+c&a&a\\ b &c+a &b\\ c & c &a+b \end{vmatrix}$ is

Cobalt containing vitamin is

The only integral root of the equation $ \begin{vmatrix} 2-y &2&3\\ 2 &5-y &6\\ 3 & 4 & 10-y \end{vmatrix}$=0 is

Vitamin $C$ helps in absorption of

Which vitamin is fat soluble?

Which of the following does not reduce Benedict's solution?

Malachite is an ore of

The electronegativity of the following elements is in the order

The heats of neutralisation of four acids $A,B,C$ and $D$ when neutralised against a common base are $13$. $7, 9.4,11.2$, and $12.4 \,kcal$ respectively. The weakest and strongest among these acids are respectively