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MET Mock Test - 9 Free Online Test 2026


Full Mock Test & Solutions: MET Mock Test - 9 (60 Questions)

You can boost your JEE 2026 exam preparation with this MET Mock Test - 9 (available with detailed solutions).. This mock test has been designed with the analysis of important topics, recent trends of the exam, and previous year questions of the last 3-years. All the questions have been designed to mirror the official pattern of JEE 2026 exam, helping you build speed, accuracy as per the actual exam.

Mock Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 120 minutes
  • - Total Questions: 60
  • - Analysis: Detailed Solutions & Performance Insights
  • - Sections covered: Physics, Chemistry, Mathematics, English

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MET Mock Test - 9 - Question 1

A refrigerator is to maintain the eatables, kept inside it, at 9°C. The coefficient of performance of the refrigerator, if the room temperature is 36°C, is

Detailed Solution: Question 1

Here, T1 = 36℃ = 36 + 273 = 309 K

T2 = 9℃ = 9 + 273 = 282 K

The coefficient of performance of a refrigerator is given by

MET Mock Test - 9 - Question 2

For network shown in figure, determine V0 and ID. (Where, ID = Current flowing in the diodes)

Detailed Solution: Question 2

Direction of current ID is the same direction as arrow in the diode symbol. Therefore, both the diodes are in forward Bias; hence voltage drops across their terminals are VSi and VGe are 0.7 V and 0.3 V respectively.

E = 12 V > (0.7 V + 0.3 V).

MET Mock Test - 9 - Question 3

In a large building, there are 15 bulbs of 40 W, 5 bulbs of 100 W, 5 fans of 80 W and 1 heater of 1kW. The voltage of the electric mains is 220 V. The minimum capacity of the main fuse of the building will be

Detailed Solution: Question 3

MET Mock Test - 9 - Question 4

An iron wire AB of length 3 m at 0°C is stretched between the opposite walls of a brass casing at 0°C0°C as shown in the figure below. The diameter of the wire is m0.6 mm. What extra tension will be set up in the wire when the temperature of the system is raised to 40°C?

Given αbrass = 18 × 10−6 K−1, αiron= 12 × 10−6 K−1, Yiron = 21 × 1010 N m−2

Detailed Solution: Question 4

Increase in length of the iron wire = LαΔt = L × 12 × 10−6 × 40 = 48L × 10−5 m

Increase in length of the brass tube = LαΔt = L × 18 × 10−6 × 40 = 72L × 10−5 m

Since the increase in length of the brass tube is greater than that of the iron wire, the latter will be tightened. Let T be the tension in the wire. Then,

T = 21 × 1010 × 24 × 10−5 × 9π × 10−8 = 14.2 N

MET Mock Test - 9 - Question 5

A butterfly is flying with a velocity of 4√2m/s in North-East direction. Wind is slowly blowing at 1 m/s from North to South. The resultant displacement of the butterfly in 3 seconds is

Detailed Solution: Question 5

*Answer can only contain numeric values
MET Mock Test - 9 - Question 6

For z = a2x3 y1/2,where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12%, respectively, then the percentage error for 'z' will be _______ %.


Detailed Solution: Question 6


a is constant

*Answer can only contain numeric values
MET Mock Test - 9 - Question 7

When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v1. When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes v2. If v2 = xv1, the value of x will be ________. (In Integers)


Detailed Solution: Question 7

Let us say the work function is ϕ.
 ___ (1) and   ____ (2)
From (1) and (2),

MET Mock Test - 9 - Question 8

The highest industrial consumption of molecular hydrogen is to produce compounds of element:

Detailed Solution: Question 8

Hydrogen combines with nitrogen to produce ammonia in Haber's process.
N2(g) + 3H2(g) ⇌ 2NH3(g)
In this process, iron oxide is used with small amounts of K2O and Al2O3 to increase the rate of attainment of equilibrium.
Optimum conditions for the production of ammonia are a pressure of 200 atm and a temperature of 700 K.
Earlier, iron was used as a catalyst with molybdenum as a promoter in this reaction.

MET Mock Test - 9 - Question 9

Which is chlorate (I) ion?

Detailed Solution: Question 9

  • ClO3: A very reactive inorganic anion.
  • The term chlorate can also be used to describe any compound containing the chlorate ion, normally chlorate salts. 
  • Example: Potassium chlorate, KClO3

MET Mock Test - 9 - Question 10

Which of the following chemical reactions represents Hall-Heroult Process?

MET Mock Test - 9 - Question 11

The correct order of electron gain enthalpies of Cl, F, Te and Po is

Detailed Solution: Question 11

Te → -190 kJ mol-1
Po → -174 kJ mol-1
F → -333 kJ mol-1
Cl → -349 kJ mol-1
Chlorine has the highest electron gain enthalpy, even greater than F, due to small size and repulsion in fluorine atom. Down the group, electron gain enthalpy decreases and along the period it increases.
So, the correct order is Po < Te < F < Cl.

MET Mock Test - 9 - Question 12

Metals generally melt at very high temperature. Amongst the following, the metal with the highest melting point will be

Detailed Solution: Question 12

Melting points of the given metals:
Hg: -38.83°C
Ag: 961.8°C
Ga: 29.76°C
Cs: 28.44°C
So, the metal having the highest melting point is Ag.

MET Mock Test - 9 - Question 13

The third ionisation enthalpy is minimum for

Detailed Solution: Question 13

The electronic configurations of the given metals and in their +3 state are:

Since Fe3+ has a stable configuration of 3d5, the third ionisation energy of Fe is minimum.

MET Mock Test - 9 - Question 14

PCl5 is well known but NCl5 is not because

Detailed Solution: Question 14

PCl5 is well known but NCl5 is not because nitrogen does not have vacant d-orbitals in its valence shell. So, nitrogen cannot expand its octet. On the other hand, phosphorus has vacant d-orbitals in its valence shell which enables it to expand its octet.

*Answer can only contain numeric values
MET Mock Test - 9 - Question 15

Manganese (VI) has ability to disproportionate in acidic solution. The difference in oxidation states of two ions it forms in acidic solution is _____. (In integers)


Detailed Solution: Question 15

Manganese (VI) disproportionate in acidic medium as

Difference in oxidation states of Mn in the products formed = 7 - 4 = 3

*Answer can only contain numeric values
MET Mock Test - 9 - Question 16

The number of chiral centres in penicillin is _____________.


Detailed Solution: Question 16

The general structure of penicillin is:

The number of chiral centres in penicillin is 3.

*Answer can only contain numeric values
MET Mock Test - 9 - Question 17

A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27°C. At 03:00 pm, when the temperature is 45°C, the pressure in the tank will be _______ atm. [nearest integer]


Detailed Solution: Question 17

Since, P ∝ T

MET Mock Test - 9 - Question 18

If c is a point at which Rolle's theorem holds for the function f(x) = loge  in the interval [3, 4], where α ∈ R, then f''(c) is equal to

Detailed Solution: Question 18

For application of Rolle's theorem,
f(3) = f(4)

MET Mock Test - 9 - Question 19

The mean and the standard deviation (s.d.) of 10 observations are 20 and 2, respectively. Each of these 10 observations is multiplied by p and then reduced by q, where p ≠ 0 and q ≠ 0. If the new mean and new s.d. become half of their original values, then q is equal to

Detailed Solution: Question 19

μ = 20, σ2 = 2
And pμ - q =  20/2 ⇒ 20p - q = 10
Also,
|p| σ2 = |p| × 2 = 1 ⇒ 
If p = 1/2 ⇒  q = 0 (rejected)

MET Mock Test - 9 - Question 20

The number of choices for  such that (p Δ q) ⇒ ((p Δ ~q) v ((~p) Δ q)) is a tautology, is

Detailed Solution: Question 20

Let x : (p Δ q) ⇒ (p Δ ~q) v (~p Δ q)
Case-I
When Δ is same as v, then (p Δ ~q) v (~p Δ q) becomes (p v ~q) v (~p v q) which is always true. So, x becomes a tautology.
Case-II
When Δ is same as , then (p  q) ⇒ (p  ~q) ∨ (~p ∨ q).
If p  q is T, then (p  ~q) ∨ (~ p  q) is F.
So, x cannot be a tautology.
Case-III
When Δ is same as ⇒ , then (p ⇒ ~q) v (~p ⇒ q) is same as (~p v ~q) v (p v q), which is always true. So, x becomes a tautology.
Case-IV
When Δ is same as ⇔, then (p ⇔ q) ⇒ (p ⇔ ~q) v (~p ⇔ q).
p ⇔ q is true when p and q have same truth values, then p ⇔ ~q and ~p ⇔ q are both false.
Hence, x cannot be a tautology.
So, finally, x can be v or ⇒.

MET Mock Test - 9 - Question 21

If a, b and c are the greatest values of 19Cp, 20Cq and 21Cr respectively, then

Detailed Solution: Question 21

*Answer can only contain numeric values
MET Mock Test - 9 - Question 22

Let .
If , then α1 + α2 is equal to ________. (in integer)


Detailed Solution: Question 22

Let F(x)

So, α = f(1) = 2 and β = min(f(0), f(2)) = 5/3
Now, 

Clearly, α1 = 18 and α2 = 16, so α1 + α2 = 34

*Answer can only contain numeric values
MET Mock Test - 9 - Question 23

The positive value of λ for which the co-efficient of x2 in the expression x2 is 720, is______.


Detailed Solution: Question 23


*Answer can only contain numeric values
MET Mock Test - 9 - Question 24

For a natural number n, let an = 19n - 12n. Then, the value of  is


Detailed Solution: Question 24

*Answer can only contain numeric values
MET Mock Test - 9 - Question 25

The number of values of x in the interval  for which 14cosec2x - 2sin2x = 21 - 4cos2x holds, is _________


Detailed Solution: Question 25


14cosec2 x - 2sin2 x = 21 - 4cos2 x
= 21 - 4(1 - sin2 x)
= 17 + 4sin2 x
14cosec2 x - 6sin2 x = 17
Let sin2x = p
14/p- 6p = 17
⇒ 14 - 6p2 = 17p
6p2 + 17p - 14 = 0
p = -3.5, 2/3
⇒ sin2x = 2/3
⇒ sin x = 

∴ There are total 4 solutions.

MET Mock Test - 9 - Question 26

Fill in the blank with appropriate word.
I.......missed the train this morning as I got up late

MET Mock Test - 9 - Question 27

Find the synonym of OBSTREPEROUS

MET Mock Test - 9 - Question 28

Improve the sentence by choosing best alternative for capitalised part of the sentence.

Let's buy a new sari with the annual bonus, CAN WE ?

MET Mock Test - 9 - Question 29

Fill in the blank with appropriate word.
The twins are so alike that I cannot.......one from the other.

MET Mock Test - 9 - Question 30

Out of the given alternatives, choose the one which can be substituted for the given capitalised word. 

The old man CUT TO THE QUICK when his rich son refused to recognise him.

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