List of practice Questions

Prepare an ‘Appeal’ on the topic ‘Women’s Security and Safety’ with the help of the following points: (100/150 words)
— Respect women’s rights
— Safety measures and support systems
— Collective responsibility
— Government initiatives

Answer the following questions: % Question (i) Write the negation of the statement: $ \exists n \in \mathbb{N} $ such that $ n + 8 > 11 $.

Two wires P and Q are made of the same material. Wire Q has twice the diameter and half the length of wire P. If the resistance of wire P is $ R $, the resistance of wire Q will be:

The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :

Which part of the human brain is responsible for regulating the body's balance and coordination?

'एक कहानी यह भी' की लेखिका के जीवन पर उनकी प्राध्यापिका शीला अग्रवाल का क्या प्रभाव पड़ा ?

If $ A = \{ x : x \text{ is an integer and } x^2 - 9 \geq 0 \} $, \[ B = \{ x : x \text{ is a natural number and } 2 \leq x \leq 5 \}, \quad C = \{ x : x \text{ is a prime number} \leq 4 \} \] Then $ (B - C) \cup A $ is:

“Nuclear energy has emerged as a viable source in recent times.” Evaluate the statement in the Indian context.

Sketch a graph of $ y = x^2 $. Using integration, find the area of the region bounded by $ y = 9 $, $ x = 0 $, and $ y = x^2 $.

If the projection of $ \mathbf{a} = \alpha \hat{i} + \hat{j} + 4 \hat{k} $ on $ \mathbf{b} = 2 \hat{i} + 6 \hat{j} + 3 \hat{k} $ is 4 units, then $ \alpha $ is:

How do the peddler from ‘The Rattrap’ and ‘the office boy’ from ‘Poets and Pancakes’ compare in terms of their frustration, status, and grudges against others?

Area of a sector of a circle with radius 4 cm and angle 30Â° is (use $ \pi = 3.14 $):

If assumed mean of a data is 47.5, $ \sum f_i d_i = 435 $ and $ \sum f_i = 30 $, then mean of that data is:

Match Fibre with Application.\[\begin{array}{|l|l|} \hline \textbf{LIST I} & \textbf{LIST II} \\ \textbf{Fibre} & \textbf{Application} \\ \hline \hline \text{A. Silk fibre} & \text{I. Fire retardant} \\ \hline \text{B. Wool fibre} & \text{II. Directional lustre} \\ \hline \text{C. Nomex fibre} & \text{III. Bulletproof} \\ \hline \text{D. Kevlar fibre} & \text{IV. Thermal insulation} \\ \hline \end{array}\]

Fill in the blank with the correct option.
The teacher believed that the student’s sudden lack of interest in class was an ..........., as he had always been enthusiastic and attentive.

Derive the relation between half life and rate constant for a first order reaction.

In the word "UNIVERSITY", find the probability that the two "I"s do not come together.

मित्रों के साथ स्टेडियम में मैच देखने का आनंद — इस विषय पर लगभग 120 शब्दों में रचनात्मक लेख लिखिए।

In the circuit shown, the galvanometer (G) has an internal resistance of $100 \Omega$. The galvanometer current $I_G$ is ________ $\mu A$ (rounded off to the nearest integer).

Suppose A and B are the coefficients of the 30th and 12th terms respectively in the binomial expansion of $ (1 + x)^{2n - 1} $. If $ 2A = 5B $, then $ n $ is equal to:

The charge required for the reduction of 1 mol of MnO$_4^-$ to MnO$_2$ is

Which aphorism in Organon mentions the “Highest Ideal of Cure”?