List of practice Questions

For an ionic crystal of the general formula $AX$ and coordination number $6$, the value of radius ratio will be

For any arbitrary motion in space, which of the following relations is true? (The average stands for average of the quantity over the time interval $t_1$ to $t_2$)

For any square matrix $A, AA^T$ is a

For a sequence $\{a_n\},a_1=2 $ and $\frac{n+1}{a_n}=\frac{1}{3}$. Then $\displaystyle\sum_{r=1}^{20}a_r$ is

For a single side band transmission a balanced modulator is used to

For a symmetrical distribution $Q_1 = 20$ and $Q_3 = 40$; the median is equal to

For a transistor amplifier in common emitter configuration for load impedance of $1\,k\Omega$ ($h_{fe} = 50$ and $h_{oe} = 25\, mA\, V^{-1}$), the current gain is

For a reaction in which all reactants and products are liquids, which one of the following equations is most applicable ?

For a non-zero vector $\overrightarrow{a}$, which of the following statement is true

For a particle performing uniform circular motion, choose the incorrect statement from the following.

For a differentiable function $f$, the value of $Lt_{h\to0} \frac{\left[f\left(x+h\right)\right]^{2} - \left[f\left(x\right)\right]^{2}}{2h}$ is equal to

For a frequency distribution 7th decile is computed by the formula

For a given distribution of marks mean is 35-16 and its standard deviation is 19-76. The co efficient of variation is

For $a > 0 , t \in\left(0, \frac{\pi}{2}\right) ,$ let $ x = \sqrt{a^{\sin^{-1}t}} $ and $y = \sqrt{a^{\cos^{-1}t}},$ Then $ 1+ \left(\frac{dy}{dx}\right)^{2} $ equals :

For a cyclic process, which of the following is not true?

Following table summarises the differences between light reactions and dark reactions. Which of the above pairs of differences is/are incorrect ?

Following table summarises the differences between natality and mortality. Select the incorrect ones.

Following table summarises the differences between normal cells and cancerous cells. Pick up the wrong difference(s) and select the correct option.

Following reactions are taking place in a Galvanic cell, $Zn \to Zn^{2+}+2e^{-}; Ag^{+}+e^{-} \to Ag$ Which of the given representations is the correct method of depicting the cell?

Following law/laws is/are basic law/laws

Following are the marks obtained by $9$ students in a mathematics te st: $50, 69, 20, 33, 53, 39, 40, 65, 59$ Mean deviation from the median is

Following are the marks obtained, out of $100$, by two students Ravi and Hashina in $10$ tests. Who is more intelligent and who is more consistent?

Following is the digrammatic representation of the operation of natural selection on different traits. Which of the following options correctly identifies all the three graphs $A, B$ and $C$ ?

Following is the store house of calcium in muscles

Fluorine reacts with water to give