List of practice Questions

Two wires \(A\) and \(B\) made of different materials have lengths \(6.0\) cm and \(5.4\) cm, and areas of cross-sections \(3.0\times10^{-5}\,\text{m}^2\) and \(4.5\times10^{-5}\,\text{m}^2\), respectively. They are stretched by the same magnitude under the same load. If the ratio of Young’s modulus of \(A\) to that of \(B\) is \(x:3\), find the value of \(x\).

What is the Codename for the joint US-Israeli military operation against Iran, launched in February 2026?

Amongst the following 3d-series elements, having highest value of first ionization enthalpy is ________.

If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

The half of the average value of three number is 20. The second number is thrice the third number and first number is twice the second number. What is the sum of smallest and largest number?

If slope of two lines represented by \( \dfrac{x^2}{a}+\dfrac{2xy}{h}+\dfrac{y^2}{b}=0 \) is twice the other, then \(ab:h^2=\ ?\)

Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

Domain \( A \) is bounded by the curve \( x^2 = 4y \), the ordinate \( x = 2 \), and the \( x \) axis.
The value of \( \iint_A y \, dx \, dy \) is

The two projectiles are projected with the same initial velocities at the 15° and 30° with respect to the horizontal. The ratio of their ranges is 1:x. The value of \(x\) is

The statements that are incorrect about the nickel(II) complex of dimethylglyoxime are :
A. It is red in colour.
B. It has a high solubility in water at pH = 9.
C. The Ni ion has two unpaired d-electrons.
D. The N – Ni – N bond angle is almost close to 90°.
E. The complex contains four five-membered metallacycles (metal containing rings).
Choose the correct answer from the options given below :

In the following statements, the true statement is :

Let \( a_1, a_2, a_3, \dots \) be an A.P. and \( g_1 = a_1, g_2 = a_2, g_3 = a_3, \dots \) be an increasing G.P. If \( a_1 = a_2 + g_2 = 1 \) and \( a_3 + g_3 = 4 \), then \( a_{10} + g_5 \) is equal to:

PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.

Which of the following drugs is administered intravenously for the treatment of Paroxysmal Supraventricular Tachycardia

Rearrange the following phrases into a meaningful sentence: The need for a scientific understanding ______.
(A) the Rio Earth Summit, the first of its kind
(B) involving world leaders on environment and development
(C) of natural ecosystems including forests was the main objective of
(D) of phenomena like climate change, biodiversity, and conservation

Two-point charges, $q_1 = 36\ \mu\text{C}$ and $q_2 = -9\ \mu\text{C}$ are placed at a distance of $30\text{ cm}$. What distance from $q_1$, where the net electric field is zero, will be:

The painting Hazrat Nizamuddin Auliya and Amir Khusro belongs to which sub-school of Deccan Miniature?

How many bulbs of resistance \( 8 \ \Omega \) each should be connected in parallel combination to draw a current of \( 2 \text{ A} \) from a battery of \( 4 \text{ V} \) ?

Which of the following plant hormones is primarily responsible for apical dominance?

A metal has BCC structure. Atomic radius \(=173\,\text{pm}\) and molar mass \(M=56\,\text{g mol}^{-1}\). The density of the metal is:

“Upachaya of the body + Bala + Varna” comes under which Garbhaja Bhava?

Statement: “Vamana is not included in Ashtavidha Shastra Karma.”

What is the Anupana of Haritaki in different seasons under Rituharitaki?