List of practice Questions

In a family consisting of four living generations (excluding married daughters), the wife is always three years younger than her husband. The siblings in the family have an age gap of three years and there are 2 siblings in the youngest generation. Each father is thirty years older than his eldest child. The present age of the youngest daughter is six years and her father has no siblings. Based on this information, what is the age difference between the youngest child and her grandmother?

An electric bulb rated as 100 W-220 V is connected to an ac source of rms voltage 220 V. The peak value of current through the bulb is :

What is stainless steel? How is it prepared? Write one important property which makes it more useful in making cooking utensils as compared to its primary metal.

The degree of differential equation \[ 9 \frac{d^2y}{dx^2} = \left\{ 1 + \left(\frac{dy}{dx}\right)^2 \right\}^{\tfrac{3}{2}} \] is

Which of the following is an example of antifertility drug?

The domain of the real valued function $ f(x) = \frac{3}{4 - x^2} + \log_{10}(x^3 - x) $ is

Why were the seals and sealings used by the Harappans to facilitate long distance communication? Explain with examples.

A proton enters a uniform magnetic field $\vec{B} = 0.5 \hat{k} \ \text{T}$ with velocity $\vec{v} = 10^6 \hat{i} \ \text{m/s}$. The magnitude of the magnetic force on the proton is:

At what temperature the surface tension of a liquid becomes zero?

The power rating of a ceiling fan rotating with a constant torque of 2 Nm with an angular speed of 2$\pi$ rad/s will be ............

What is the next number in the sequence? 2, 6, 12, 20, 30, ?

Which of the following does not belong to the group?

Explain with reason:
(i) Cr^{2+} is a reducing agent while Mn^{3+} is an oxidising agent, while both have $d^4$ configuration.}

In a messenger RNA molecule, untranslated regions (UTRs) are present at:
I. 5' end before start codon
II. 3' end after stop codon
III. 3' end before stop codon
IV. 5' end after start codon

In an n-type semiconductor, electron-hole combination is a continuous process at room temperature. Yet the electron concentration is always greater than the hole concentration in it. Explain.

If $\alpha, \beta, \gamma$ are the roots of the equation \[ x^3 - 13x^2 + kx + 189 = 0 \] such that $\beta - \gamma = 2$, then find the ratio $\beta + \gamma : k + \alpha$.

For the curve $ \sqrt{x} + \sqrt{y} = 1 $, find the value of $ \frac{dy}{dx} $ at the point $ \left(\frac{1}{9}, \frac{1}{9}\right) $.