List of practice Questions

Theme Objects required: A big transparent jar, sugar, seasonal fruits (4-5 varieties) and a spoon. Arrangement: A spoon is placed in the jar which is half filled with sugar. Arrange fruits aesthetically around or below the sugar jar.
EITHER Theme A Objects required: A ladies hand bag with a handle, a mobile phone, a pair of sunglasses and a closed colourful umbrella. Arrangement: Arrange all the items to form an interesting composition. The items should be placed a few inches below the eye level.
Compare and contrast Teentala and Ektala in terms of beats, divisions (Vibhags), and their typical use in classical music.
Discuss the origin and evolution of the Gharana system in percussion and name at least six major Tabla Gharanas.
Give a brief introduction to the Sooltala and its application.
Describe the salient features of the Ajrada or Farukhabad Gharana.
Write the Theka of Rupak Tala in Dugun laya (double speed) using the proper notation system.
Define the term Sama in the context of a Tala.
Which instrument is typically associated with Chautala?
Identify the number of Matras in Jhaptala.
Prove the Section Formula for internal division in vectors.
Prove that \( \displaystyle \int \sqrt{a^2 - x^2} \, dx = \frac{x}{2}\sqrt{a^2 - x^2} + \frac{a^2}{2}\sin^{-1}\left(\frac{x}{a}\right) + C \).
The population of a town grows at a rate proportional to its size. If it grows from 40,000 to 60,000 in 40 years, what will it be in another 20 years?
A die is tossed twice. If a “success” is getting a number greater than 4, find the probability distribution of the number of successes.
Evaluate \( \displaystyle \int \frac{x+2}{2x^2 + 6x + 5} \, dx \) using the substitution or partial fraction method.
Write the converse, inverse, and contrapositive of: "If voltage increases, then current decreases".
Find the principal value of \( \sin^{-1}\left(-\frac{1}{2}\right) \).
Differentiate \( \cos^{-1} \left( \frac{1 - x^2}{1 + x^2} \right) \) with respect to \( x \).
Find the area of a triangle with vertices \( A(1,2,3), B(2,3,4), \) and \( C(3,4,5) \).
Write the dual of the statement \( p \land [\neg q \lor (p \land q) \lor \neg r] \).
Which of the following does a newly born need with breast milk?
Two to Six years of age is called ?
To make ORS drink it should be mixed with?
Which of the following does a newly born need with breast milk?
Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be \( \dfrac{1}{30} \) of the molar conductivity of another weak acid HZ with concentration 0.02 M. If \( \alpha_Q \) happened to be equal to \( \alpha_Z \), then the difference of the pKa values of the two weak acids (pKa(HQ) − pKa(HZ)) is ________ (Nearest integer).
(Given: degree of dissociation \( \alpha \ll 1 \) for both weak acids, \( \lambda^\circ \): limiting molar conductivity of ions)