List of practice Questions

An equilateral triangle OAB is inscribed in the parabola $y^2 = 4x$ with the vertex O at the vertex of the parabola. Then the minimum distance of the circle having AB as a diameter from the origin is

The least possible level of sensation is called as _______

In the circuit shown below, the voltage appearing across the diode D will be of the form: ____.

Which of the following statements about Pollination by Water (Hydrophily) are correct?
i. It is found only in some 30 genera of aquatic monocots.
ii. In Hypohydrophily, the pollen grains are lighter than water and float on the water surface to reach the stigma.
iii. In Vallisneria (Epihydrophily), the female flowers reach the water surface temporarily to ensure pollination, and the male flowers float on the surface.
iv. Pollen grains of hydrophilous flowers are long and unwettable due to the presence of mucilage, and they lack exine in some species like Zostera (sea grass).

What is the percentage increase in sales from 2021 to 2025?

A ray of monochromatic light is passing through an equilateral prism (ABC) as shown in the figure. The refracted ray (QR) is parallel to its base (BC) and the angle of incidence (i) is 50°. Then the angle of deviation ($\delta$) is: ____.

Ribozyme is:

Which one of the following is the extensive property of a thermodynamic system?

A battery of emf 10 volts and internal resistance 3 \(\Omega\) is connected to a resistor. If the current in the circuit is 0.5 A, what is the resistance of the resistor?

A concave mirror is used to form an image of an object. The object distance (u) is 30 cm and the image distance (v) is 15 cm. Calculate the focal length (f) of the mirror.

A train starting from rest attains a velocity of 72 km/h in 5 minutes. Assuming that the acceleration is uniform. The distance travelled by train for the above velocity is

A square matrix P satisfies \(P^2 = I - P\). If \(P^n = 5I - 8P\) then n is equal to

Two numbers P and Q are selected from Set {1,2,3,.....,100\,then find the probability of P.Q is divisible by 5.}

The mean of some observations is 54. If each observation is increased by 8 and its sum is divided by 2, then what is the mean of the resulting observations?

If the sum of the first four terms of an A.P. is 6 and the sum of its first six terms is 4 , then the sum of its first twelve terms is

Out of 8 students in Section Alpha, 10 students in Section Beta and 12 students in Section Gamma, a teacher wants to create a team of three to represent the school in inter-school quiz competition. In how many ways the team can be formed such that all the members of the team are not from the same section ?

Let \(n(A) = m\) and \(n(B) = n\), if the number of subsets of A is 56 more than of subsets of B, then \(m + n\) is equal to

The quantitative value determined for the identification of leaf drug remains constant throughout the age of the plant EXCEPT:

A particle is rotating in a circular path and at any instant its motion can be described as} \[ \theta=\frac{5t^4}{40}-\frac{t^3}{3}. \] The angular acceleration of the particle after \(10\) seconds is ____ rad/s\(^2\).

A planet \(P_1\) is moving around a star of mass \(2M\) in an orbit of radius \(R\). Another planet \(P_2\) is moving around another star of mass \(4M\) in an orbit of radius \(2R\). The ratio of time periods of revolution of \(P_2\) and \(P_1\) is:

For a scalar function \(\vec{F}(x, y, z) = x^2 + 3y^2 + 2z^2\), the directional derivative at the point P( 1, 2, -1) is the direction of a vector \((\hat{i} + \hat{j} + 2\hat{k})\) is

Ten 100 W light bulb burns on an average of 10 hours a day for one week. The weekly consumption of energy will be ____ units.