List of practice Questions

The \( n^{th} \) term of the series \[ 1 + (3+5+7) + (9+11+13+15+17) + \dots \] is:

If \( (r, \theta) \) denotes \( r (\cos \theta + i \sin \theta) \). If \[ x = (1, \alpha), \quad y = (1, \beta), \quad z = (1, \gamma) \] and \( x + y + z = 0 \), then \[ \sum \cos (2\alpha - \beta - \gamma) = \]

Find the next number in the series 5, 20, 24, 6, 2, 8,

In the expansion of \(\frac{2x+1}{(1+x)(1-2x)}\), the sum of the coefficients of the first 5 odd powers of \(x\) is:

If the ratio of the terms equidistant from the middle term in the expansion of \( (1 + x)^{12} \) is \( \frac{1}{256} \), then the sum of all the terms of the expansion \( (1 + x)^{12} \) is:

The correct statement(s) regarding P, Q, R, and S is (are) :

Identify Z in the following reaction sequence.

The voltage \( V_o \) in the network shown is

If there are 6 alike fruits, 7 alike vegetables, and 8 alike biscuits, then the number of ways of selecting any number of things out of them such that at least one from each category is selected, is:

If \( \vec{a} = \hat{i} - \hat{j} + \hat{k} \), \( \vec{b} = \hat{i} + \hat{j} - 2\hat{k} \), \( \vec{c} = 2\hat{i} - 3\hat{j} - 3\hat{k} \), and \( \vec{d} = 2\hat{i} + \hat{j} + \hat{k} \) are four vectors, then \( (\vec{a} \times \vec{c}) \times (\vec{b} \times \vec{d}) = \):

A series LCR circuit is shown in the figure. Where the inductance of 10 H, capacitance 40 \muF and resistance 60 Ω are connected to a variable frequency 240 V source. The current at resonating frequency is.

The number of ways of arranging 2 red, 3 white, and 5 yellow roses of different sizes into a garland such that no two yellow roses come together is:

When the enable data input \( D = 1 \), select inputs \( S_1 = S_0 = 0 \) in the 1×4 Demultiplexer, then the outputs \( Y_0, Y_1, Y_2, Y_3 \) are

The frequency modulation of a 3-\(\phi\) sinusoidal pulse width modulation is an odd multiple of 3. Then the output line voltage contains

The \( Z \) parameter \( Z_{21} \) of the following circuit is

Examples of BCS class III drugs are:

5-Fluorouracil, an anti-metabolite used in cancer treatment, is activated to:

Which ring of warfarin is essential for its therapeutic activity:

Which of the following drug does NOT require therapeutic drug monitoring:

In a homologous series of any general anesthetic, increasing the chain length increases the lipid solubility, and produce a corresponding increase in anesthetic potency, is proposed by:

The fluoroquinolones act by:

Examples of BCS class III drugs are:

Tetracycline undergoes epimerization at C4 between pH 4-8 to give:

Which ring of warfarin is essential for its therapeutic activity:

Which of the following drug does NOT require therapeutic drug monitoring: