List of practice Questions

If the area of a circle increases at a uniform rate, then its perimeter varies

The length of the subtangent to the curv $x^2y^2 = a^4$ at $(-a, a)$ is

If $y =\frac{\sec x +\tan x}{\sec x - \tan x} $ , then $\frac{dy}{dx} = $

The surface area of a ball is increasing at the rate of $2 \pi \, s cm/sec$. The rate at which the radius is increasing when the surface area is $16 \pi \, s cm$ is

If $A = \begin{bmatrix}3&2\\ 4&5\end{bmatrix} $ and $AC = \begin{bmatrix}19&24\\ 37&46\end{bmatrix}$ then $C= $

Let [ ?] denote the greatest integer function and $f (x) = [\tan^2 x]$. Then

Ammonia gas does not evolve from the complex $FeCl_3$ $\cdot$ $4NH_3$ but it gives white precipitate with aqueous solution of $AgNO_3.$ Coordination number of central metal ion in the above complex is six. Give IUPAC name of the complex.

Two different electrolytic cells filled with molten $Cu(NO_3)_2$ and molten $Al(N0_3)_3$ respectively are connected in series. When electricity is passed 2. 7 g Al is deposited on electrode. Calculate the weight of Cu deposited on cathode. $[Cu = 63 .5; Al= 27 .0 g mol^{-1} ]$

Give IUPAC name of the product, when acetamide is heated with anhydrous phosphorus pentoxide

How can you say that glucose is cyclic compound?

How glucose is related with fructose?

Choose the grammatically correct sentence:

Arrange the following sentences to form a coherent paragraph:
A. The startup grew rapidly in its first year.
B. It offered innovative tech solutions.
C. A young entrepreneur founded the startup.
D. Investors were impressed by its potential.

Choose the grammatically correct sentence:

Identify the missing number in the series:
15 9 5
23 8 13
31 9 ?

Identify the missing number in the series:
3 7 16 35 ?

A train travels 240 km in 4 hours. What is its speed in km/h?

If a = 2b and b = 3c, what is the ratio a:b:c?

A man works 8 hours a day for 5 days to earn Rs. 4,000. What is his hourly wage?