List of practice Questions

The house was _____ river and railway station.

The uncertainty in the determination of the position of a small ball of mass 10 g is $10^{-33}$ m. With what \% of accuracy can its speed be measured, if it has a speed of 52.5 m s$^{-1}$?

A box contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that the selected ball is not red?

The kinetic energy of 3 moles of a diatomic gas molecules in a container at a temperature $ T $ is same as that of kinetic energy of $ n $ moles of monoatomic gas molecules in another container at the same temperature $ T $. The value of $ n $ is:

$\{0\}$ is a set which has ........ elements.

The value of $ \sin^2 \left( \frac{3\pi}{8} \right) + \sin^2 \left( \frac{7\pi}{8} \right) $ is:

Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, —–, 47

A voltmeter of resistance $400 \, \Omega$ is used to measure the emf of a cell with an internal resistance of $4 \, \Omega$. The error in the measurement of emf of the cell is:

Three identical masses are at the three corners of the triangle, connected by massless identical springs (rest length $ l_0 $) forming an isosceles right angle triangle. If the two sides of equal length (of length $ 2l_0 $) lie along the positive x-axis and positive y-axis, then the force on the mass that is not at the origin but on the x-axis is given by $ \hat{i} + \hat{j} $ with $ a $ and $ b $.

Swahili, a Bantu language, is spoken in the southern and eastern coasts of Africa. Match the Swahili dates to the correct English translations.

tarehe tatu Disemba jumamosi (F) Saturday, December 3rd
tarehe tano Oktoba jumapili (E) Sunday, October 5th
tarehe pili Aprili jumanne (B) Tuesday, April 2nd
tarehe tano Oktoba jumatatu (D) Tuesday, April 4th
tarehe nne Aprili jumanne (A) Monday, October 5th
tarehe tano Oktoba jumatano (C) Wednesday, October 5th

A train moving at 108 km/hr crosses a platform in 30 seconds. Then it crosses a man running at 12 km/hr in the same direction in 9 seconds. What is the length of train and platform in m?

If $ Q $ and $ R $ are the images of the point $ P(2,3) $ with respect to the lines $ x - y + 2 = 0 $ and $ 2x + y - 2 = 0 $ respectively, then $ Q $ and $ R $ lie on

Two circles $C_1$ and $C_2$ have radii 18 and 12 units, respectively. If an arc of length $ \ell $ of $C_1$ subtends an angle 80° at the centre, then the angle subtended by an arc of same length $ \ell $ of $C_2$ at the centre is:

Fischer presentation of D-(-)-fructose is given below.

The correct structure of α-L-(+)-fructofuranose is

If $ 4x - 3y - 5 = 0 $ is a normal to the ellipse $ 3x^2 + 8y^2 = k $, then the equation of the tangent at point (-2,m) is:

The Enthalpy of combustion of C$_6$H$_6$COOH(s) at 25$^\circ$C and 1.0 atm pressure is -2546 kJ/mol. What is the Internal energy change for this reaction?

If $ 2 $ is a solution of the inequality $ \frac{x-a}{a-2x}<-3 $, then $ a $ must lie in the interval:

The centre of a square is at the origin of the complex plane. If one of the vertices is at $ -3i $, then the area of the square is:

Number of integers greater than 7000 can be formed using the digits 2, 4, 5, 7, 8 is (Repetition of digits is not allowed):

P, Q, R, S, T, U, and V are sitting around a circular table facing the center. S is not a neighbor of R and T. P is the neighbor of Q and R. V, who is second to the left of S, is the neighbor of T and U. Which of the following is not true?

Simplify the following expression: $ \frac{2^{n+5} - 4 \cdot 2^{n}}{2 \cdot (2^{n+4})} $.

What is the quantity of current required to liberate 16g of O$_2$ (g) during electrolysis of water? (Given 1F = 96500C)

The coordinates of the vertex of the parabola \[ y = 2x^2 - 12x + 26 \] are

If $2 \tan^2 \theta - 4 \sec \theta + 3 = 0$, then $2 \sec \theta$ is: