List of practice Questions

Which of the following represent(s) the enantiomer of Y?
Which of the following represent(s) the enantiomer of Y?
An object of mass 100 kg falls from point A to B as shown in figure. The change in its weight, corrected to the nearest integer is ($R_E$ is the radius of the earth):
Sol Figure
Evaluate the integral: \[ \int \frac{x^2 - 1}{x^4 + 3x^2 + 1} \, dx \]

Steam of mass 60 g at a temperature \( 100^\circ C \) is mixed with water of mass 360 g at a temperature \( 40^\circ C \). The ratio of the masses of steam and water in equilibrium is? 
(Latent heat of steam = 540 cal/g and specific heat capacity of water = 1 cal/g◦C)

Two capacitors of capacitances \( 1\mu F \) and \( 2\mu F \) can separately withstand potentials of \( 6 \) kV and \( 4 \) kV respectively. The total potential, they together can withstand when they are connected in series is: 

Consider the function
\[ f(x) = x(x - 1)(x - 2) \cdots (x - 100). \]
Which one of the following is correct?
The process by which the electrons can come out of the metal in a spark plug is:
The acceleration-time graph of a particle moving in a straight line is shown in the f igure. If the initial velocity of the particle is zero, then the velocity-time graph of the particle will be:
Ques Fig
At 400 K, an ideal gas is enclosed in a 0.5 m\(^3\) vessel at a pressure of 203 kPa. What is the change in temperature required (in K), if it occupies a volume of 0.2 m\(^3\) under a pressure of 304 kPa? (Nearest integer)
If \( \tan \left( \frac{\pi}{12} + 2x \right) = \cot 3x \), where \( 0<x<\frac{\pi}{2} \), then the value of \( x \) is:

At 400 K, the following graph is obtained for \( x \) moles of an ideal gas. \( x \) is equal to (R = gas constant, P = pressure, V = volume)
 

The functional groups involved in the conversion of glucose to gluconic acid and gluconic acid to saccharic acid respectively are:
If \(U_n (n = 1, 2)\) denotes the \(n\)-th derivative (\(n = 1, 2\)) of \(U(x) = \frac{Lx + M}{x^2 - 2Bx + C}\) (\(L, M, B, C\) are constants), then \(PU_2 + QU_1 + RU = 0\) holds for:

If \[ \int e^x (x^3 + x^2 - x + 4) \, dx = e^x f(x) + C, \] then \( f(1) \) is:

If \( (1,1) \) is the vertex and \( x + y + 1 = 0 \) is the directrix of a parabola. If \( (a, b) \) is its focus and \( (c, d) \) is the point of intersection of the directrix and the axis of the parabola, then \( a + b + c + d \) is:
The numbers \(1, 2, 3, \ldots, m\) are arranged in random order. The number of ways this can be done, so that the numbers \(1, 2, \ldots, r \, (r < m)\) appear as neighbours is:

'हितैषी' का सही सन्धि विच्छेद क्या है ?

'तीन तेरह करना' मुहावरे का सही अर्थ है :

निम्नलिखित में कौन 'तत्सम' शब्द नहीं है ?

'चतुर्भुज' शब्द में कौन-सा समास है ?

खड़ी बोली हिन्दी में सर्वप्रथम रचना करने वाले कवि का नाम है :

"तैरने की इच्छा रखने वाला" के लिए एक शब्द क्या होगा ?

निम्नलिखित में से शंकर शब्द है

अश्व का पर्यायवाची शब्द है -

'राजा' शब्द का विपरीतार्थक शब्द होगा -