List of practice Questions

A plane surface, in the shape of a square of side 1 cm, is placed in an electric field \( \vec{E} = (100 \, \text{N/C}) \hat{i \) such that the unit vector normal to the surface is given by \( \hat{n} = 0.8 \hat{i} + 0.6 \hat{k} \). Find the electric flux through the surface.}

In the given pedigree chart, ‘P’ is a female suffering from a disease, which is denoted by ‘A’ (dominant allele) and ‘a’ (recessive allele). Find the genotype of ‘P’.

In \( \triangle ABC \), prove the identity: $$ a^2 \sin 2B + b^2 \sin 2A = $$ 

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:

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

Arrange the following elements in increasing order of first ionization enthalpy:
Li, Be, B, C, N
Choose the correct answer from the options given below:

The journal entry for treatment of goodwill, when a new partner brings his share of goodwill in cash and one of the old partners gains, involves the following
(A) Gaining Partner’s Capital Account is debited
(B) Premium for Goodwill Account is debited
(C) Sacrificing Partner’s Capital Account is credited
(D) Gaining Partner’s Capital Account is credited

Anshu and Nitu are partners sharing profits in the ratio of 3:2. They admitted Jyoti as a new partner for 3/10 share. Jyoti acquired 2/10 from Anshu and 1/10 from Nitu. Calculate the new profit sharing ratio of Anshu , Nitu and Jyoti

Kavita and Lalita are partners sharing profits in the ratio of 2:1. They decide to admit Mohan for 1/4th share in future profits with a guaranteed amount of ₹25,000.Both Kavita and Lalita undertake to meet liability arising due to gauranteed amount to Mohan in their respective profit sharing ratio. The firm earned profits of ₹76,000 for the year 2022-23. The deficiency borne by Kavita is

Match List-I with List-II.

List-I (Equal amount of drawings made)	List-II (Number of month for which interest calculated)
(A) At the end of each half year	(I) 4.5 months
(B) At the beginning of each quarter	(II) 6.5 months
(C) At the beginning of each month	(III) 7.5 months
(D) At the end of each quarter	(IV) 3 months

Choose the correct answer from the options given below :

A, B, and C are partners sharing profits in the ratio of 3:3:4. They decide to share future profits equally. The sacrifice or gain of partners are

If there is no claim against Workmen Compensation Reserve, it is __________ at the time of admission of a partner
Fill in the blanks with the correct answer from the option given below

Which of the following is an example of sequential code?