List of practice Questions

Find the missing number: \(3,\,8,\,18,\,35,\,?,\,98\)
The moment of inertia of a thin ring about its diameter is:
A Carnot engine operates between 400 K and 300 K. Its efficiency is:
In Young's double-slit experiment, the slits are 0.2 mm apart and the screen is 1 m away. The distance between the central bright fringe and the third bright fringe is 1.5 cm. The wavelength of light used is:
The binding energy per nucleon is maximum for:
The functional group in ethers is:
The derivative of \(\tan^{-1}\!\sqrt{\dfrac{1-\cos x}{1+\cos x}}\) with respect to \(x\) is:
If \(\sin A=\frac{3}{5}\) and \(\cos B=\frac{12}{13}\), where \(A\) and \(B\) are acute angles, then \(\sin(A+B)\) is:
The number of solutions of the equation \(2|x|+|x-2|=4\) is:
A die is rolled 5 times. The probability of getting at least one six is:
If the roots of the quadratic equation \(x^2-(p+1)x+p=0\) are equal, then \(p\) is:
A sound wave has frequency 500 Hz and wavelength 0.68 m. The speed of sound is:
Two point charges \(+q\) and \(-q\) are placed at distance \(2a\) apart. The electric field intensity is zero at a point on the axis at distance \(x\) from the midpoint. Then \(x\) is:
The activity of a radioactive sample decreases to 25% of its initial value in 60 days. The half-life is:
The order of reactivity of alcohols towards dehydration is:
A person travels from A to B at 40 km/h and returns at 60 km/h. The average speed for the entire journey is:
Find the next term in the series: \(4, 9, 25, 49, 121, ?\)
If BOOK is coded as 41, then PAGE is coded as:
Select the word that best completes the analogy: Doctor : Hospital :: Teacher : ?
Choose the correctly spelt word:
A body weighs 50 N on the surface of Earth. Its weight at a height equal to the radius of Earth from the surface is:
In qualitative analysis, the cation precipitated as sulphide in Group IV is:
The value of \(\cos 15^\circ + \sin 15^\circ\) is:
If \(A\) and \(B\) are two matrices such that \(AB\) is defined and \(AB = A\), then \(B\) is:
The area bounded by the curve \(y = x^2\), the x-axis and the lines \(x = 1\) and \(x = 2\) is: