MET Mock Test - 8 Free Online Test 2026

A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire? Young's modulus for steel: E = 20 × 10¹⁰ Pa .

2 moles of an  ideal gas with C_P/C_V = 5/3 are mixed with 3 moles of another ideal gas with C_P/C_V = 4/3. The value of C_P/C_V for the mixture is? (Answer upto 2 decimal places)

Effective capacitance of parallel combination of two capacitors C₁ and C₂ is 10 μF. When these capacitors are individually connected to a voltage source of 1 V, the energy stored in the capacitor C₂ is 4 times that of C₁. If these capacitors are connected in series, their effective capacitance will be:

A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2,000 kg. If the frictional force on the elevator is 4,000 N, then the speed of the elevator at full load is close to
(1 HP = 746 W, g = 10 ms^-2)

A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2,000 kg. If the frictional force on the elevator is 4,000 N, then the speed of the elevator at full load is close to
(1 HP = 746 W, g = 10 ms^-2)

Two liquids of densities are filled up behind a square wall of side 10 m as shown in figure. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on upper part MN to that at the lower part NO is: (Assume that the liquids are not mixing)

A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much less than the speed of sound). The observer hears 2 beats/sec. The oscillation frequency of each tuning fork is v₀ = 1400 Hz and the velocity of sound in air is 350 m/s. The speed of each tuning fork is close to:

A solid metal cube of edge length 2 cm is moving in a positive y direction at a constant speed of 6 m/s. There is a uniform magnetic field of 0.1 T in the positive z-direction. The potential difference between the two faces of the cube perpendicular to the x-axis, is _____mV.

A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance h/2. The spring constant is ______ Nm^-1. (Use g = 10 ms^-2)(In Integers)

After the switch is closed, the work done by the cell is constant over the time. C (in μF) is

In an experiment to verify Newton's law of cooling, a graph is plotted between the temperature difference (ΔT) of the water and surroundings and time as shown in figure. The initial temperature of water is taken as 80°C. The value of t₂ as mentioned in the graph will be ______. (In integers)

Outermost electronic configuration of a group 13 element, E, is 4s², 4p¹. The electronic configuration of an element of p-block period-five placed diagonally to element E is:

As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the order:

Which is the most suitable reagent for the following transformation?

In the given reaction

'A' can be:

Which one of the following is an example of artificial sweetener?

In a cell, the following reactions take place:

The standard electrode potential for the spontaneous reaction in the cell is X × 10^-2 V at 298 K. The value of x is ______________. (Nearest Integer)

The resistance of a conductivity cell containing 0.01 M KCl solution at 298 K is 1750 Ω. If the conductivity of 0.01 M KCl solution at 298 K is 0.152 × 10^-3 S cm^-1, then the cell constant of the conductivity cell is _______ × 10^-3 cm^-1. (In integers)

(a) Baryte, (b) Galena, (c) Zinc blende and (d) Copper pyrites.
How many of these minerals are sulphide based? (In integers)

If sum of the first 21 terms of the series  where x > 0, is 504, then x is equal to:

Let A = . If M and N are two matrices given by M =  and N =  then MN₂ is

If x = x(y) is the solution of the differential equation ydy/dx = 2x + y³ (y + 1)e^y, x(1) = 0; then x(e) is equal to:

A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with

Let the line y = mx and the ellipse 2x2 + y2 = 1 intersect at a point P in the first quadrant. If the normal to this ellipse at P meets the co-ordinate axes at  and (0, β), then β is equal to

Let a circle C in complex plane pass through the points z₁ = 3 + 4i, z₂ = 4 + 3i and z₃ = 5i. If z(≠ z₁) is a point on C such that the line through z and z₁ is perpendicular to the line through z₂ and z₃, then arg(z) is equal to:

If two tangents drawn from a point (α, β) lying on the ellipse 25x² + 4y² = 1 to the parabola y² = 4x are such that the slope of one tangent is four times the other, then the value of (10α + 5)² + (16β² + 50)² equals ___________. (in integer)

In a certain code, if DOG is written as 4157, then what will MAT be written as?

In the following question, select the related number from the given alternatives:
145 : 10 :: 243 : ?

In the question below is given a passage followed by several inferences. You have to examine each inference separately in the context of the passage and decide upon its degree of truth or falsity. 

Investors today have more investment options than were available just a couple of years ago. Choice in any decision-making is good in so far it gives variety, differentiation and bench-marking. It could also, however, at times lead to confusion and "noise" if the options are mostly alike and similar. To make sense of this choice problem, it is crucial for an investor to define intention - both returns and absorbable risk and then recognise the possible options. The investor also must select the combination and frequently monitor that objectives and investment outcomes remain aligned. Sounds simple, but can present the foremost confounding situation which multiplies with the quantum of wealth.

In the past, investor were generally guided by the fund managers.

Directions: Four alternative summaries are given below the underneath text. Choose the option that best captures the essence of the text.

Great people are thought to be admirable and we emulate them because they did something more than what other people did. "He who does anything because it is the custom, makes no choice" according to John Stuart Mill. Actually, it is your originality which matters most. Even if you do the same thing as people do, you should have a different approach, a different way of carrying it out. It will give you great satisfaction. You should, however, have a well-defined purpose. It will keep you from wasting your time and energy.