HPCL Mechanical Engineer Mock Test - 6 Free Online Test 2026

Narrow is a synonym of insular.

Let, the measure of the required angled be A°.
Then, measure of its complement = ( 90 – A )° measure of its supplement = (180 – A)°
According to question,
6(90° – A) = 2(180° – A) –12°
⇒ 540° – 6A = 360° – 2A – 12°
⇒ 4A = 192°
⇒ A = 48°.

A ratio equivalent to 3 : 7 is:
To find a ratio equivalent to 3 : 7, we need to find a pair of numbers that have the same ratio when simplified. Let's try the options:

(i) 3 : 9 → This simplifies to 1 : 3, not the same as 3 : 7
(ii) 6 : 10 → This simplifies to 3 : 5, not the same as 3 : 7
(iii) 9 : 21 → This simplifies to 3 : 7, which is the same as 3 : 7, so the answer is (iii).

2D definition - A two-dimensional (2D) object is an object that only has two dimensions, such as a length and a width, and no thickness or height.  Since the plane figure has no thickness or height so it will be 2d figure.

Between 5 and 78:
First number = 6
Last number = 72

Hence, Option D is correct.

Given, both of them travel the same distance.
∴ Speed will be inversely proportional to time.
So, A and B will take 3x minutes and 2x minutes, respectively, to cover the same distance.
Given, 3x – 2x = 10
x = 10
So, A will take 30 minutes to cover the distance.
If A doubles his speed, then the time taken will be halved i.e. 15 minutes.

Lets break the figure -
It has 6 surfaces.
Area of bottom surface = L * B
Area of Top Surface = L * B
Area of Right side surface = B * H
Area of Left Side surface  = B * H
Area of front Surface = H * L
Area of Back surface = H * L 
Total surface area of Cuboid = sum of all the surfaces.
=> (Bottom surface area + Top surface area + Right side surface area + Left side surface area + front side surface area
back side surface area)
=> (LB + LB + BH + BH + HL + HL)
=> (2LB + 2BH + 2HL)
=> 2(LB + BH + HL)
hence option B is correct.

AP: 21, 42, 63, 84, …
a = 21
d = 42 – 21 = 21
a(n) = 210
a + (n – 1) x d = 210
21 + (n – 1) x (21) = 210
21 + 21 x n – 21 = 210
21 x n = 210
n = 10

Alcohol = 40% of 120 = 48

Hence, Option C is correct.

From the common explanation, we get the immediate neighbour of P and M is Q.

Hence, Option C is correct.

Final Arrangement:

Common Explanation:

References:

M is sitting fourth to the right of N.

P is sitting second to the left of N.

Inferences:

From the above reference, we get the following arrangements:

References:

Q is sitting third to the right of S.

Inferences:

From the above reference, we get two different cases:

Case 1:

Case 2:

References:

S is not sitting beside P.

T is sitting second to the left of O.

O is not sitting beside M.

Inferences:

So, from this case 1 will be eliminated as S is not sitting beside P.

Thus, the final arrangement,

The above information can be summarized below diagram,

Therefore, the code for “was” will be “3”. 

Hence, option 4 is the correct answer.

As position of M and N in Eq. alphabets are 13 and 14 respectively.Same position of F and R in Eq. alphabets are 6 and 18 respectively.

All are the parts of tree.

In the figure the simplest Triangles are GLK, DLJ, DJM,HMN,QRE,IRA,IPA, and FPO is the 8 triangle

and another is BDO,CDQ,DLM, PRA, KFI, NEI, HJI, GJI,DKI, and DNI is the 10 triangle

and another is DIE, DFI, DOA, DQA, and GHI is the 5 triangle

and DCA, DBA is the 2 triangle and DEF and ABC so that according to the figure the total no. of triangle is
8 + 10 + 5 + 2 + 1 + 1
= 27

Answer: C

Explanation:
The word that is different from the rest is Scallop (C). The reasons are as follows:
- Oyster (A), Clam (B), and Mussel (D) are all bivalve mollusks, meaning they have a shell that is divided into two hinged parts. On the other hand, Scallop (C) is also a bivalve mollusk, but it has some unique features that set it apart.
- Scallop's unique features:
- Scallops have a distinct shell shape, which is rounder and flatter compared to the other three.
- Scallops have an ability to swim by opening and closing their shells rapidly, which is not a common feature among the other three mollusks.
- The adductor muscle of the scallop, the part that is commonly consumed, is larger and more developed than in oysters, clams, or mussels, making it a more popular choice for culinary dishes.
These differences make Scallop (C) the word that stands out from the rest.All except Scallop, live in shells.

Checking Statement I:

Codes for truck and train cannot be found out.

Hence data in statement I is not sufficient to answer the question.

Checking Statement II:

Codes for truck and train cannot be found out.

Hence data in statement II is not sufficient to answer the question.

Checking both statements I and II together:

Code for truck is 110 and code for train is 115.

Hence data in statement I and II together is sufficient to answer the question.

Hence option D is correct.

A man walks 30 meters towards South, then turning to his right, he walks 30 meters, then turning to his left, he walks 20 meters, again turning to his left, he walks 30 meters. The figure are given below -

50 meters far is he from his starting point.

Hence, "50 meters" is the correct answer.

1st term = 6
2nd term = 6 + 5 = 11
3rd term = 11 + 10 = 21
4th term = 21 + 15 = 36
5th term = 36 + 20 = 56

Thus, Missing Number is 6th term = 56 + 25 = 81

As dwelling place of 'Nun' is 'Convent' similarly the dwelling place of 'Hen' is 'Cote'.

As 'Knowledge' is achieved by 'Reading' in the same way 'Experience' is achieved by 'Work'.

Given statements: K > M < L = Z = O < P.

Conclusions:

I. P < Z → False (As, L = Z = O < P → P > Z).

II. M = Z → False ( M < L = Z → M < Z and L = Z).

Hence, "Neither Conclusion I nor II correct".

Torsion Equation:

Where T is torque applied on the shaft in N−m

is the polar moment of inertia m4

T is shear stress in MPa, r is the radius of the shaft in m, G shear modulus or modulus of rigidity in MPa

θ is the angle of twist in radian, and 1 is the length of the shaft in m.T_maxoccurs at r_max

R−22  has freezing temperature of -160°C. It requires 5.85 cubic metres per ton per hour at evaporator temperature of 15°C. It gives a coefficient of performance of around 4.66 and consumes around 1.01 horse power per ton.

dU + PdV = dH which is enthalpy

Required Properties of Ideal Refrigerant:

1) The refrigerant should have a low boiling point and a low freezing point.

2) It must have low specific heat and high latent heat. Because high specific heat decreases the refrigerating effect per kg of refrigerant and high latent heat at low temperature increases the refrigerating effect per kg of refrigerant.

3) It must have high critical pressure and temperature to avoid large power requirements.

4) The pressures required to be maintained in the evaporator and condenser should be low enough to reduce the material cost. They must be positive to avoid leakage of air into the system.

5) It should have a low specific volume to reduce the size of the compressor.

6) It must have high thermal conductivity to reduce the area of heat transfer in the evaporator and condenser.

7) It should be non-flammable, non-explosive, non-toxic, and non-corrosive.

8) It should not have any bad effects on the stored material or food when any leak develops in the system.

9) It must have high miscibility with lubricating oil and it should not have reacting properly with lubricating oil in the temperature range of the system.

10) It should give high COP in the working temperature range. This is necessary to reduce the running cost of the system.

The cycle in which heat is supplied at constant volume and rejected at constant pressure is known as A Dual combustion cycle. The Atkinson-cycle engine is a type of internal combustion engine invented by James Atkinson in 1882. The Atkinson cycle is designed to provide efficiency at the expense of power density. A modern variation of this approach is used in some modern automobile engines.

A system is said to be in thermodynamic equilibrium if the conditions for the following all three equilibrium is satisfied:

1) Mechanical equilibrium: When there are no unbalanced forces within the system and between the system and the surrounding, the system is under mechanical equilibrium.

2) Chemical equilibrium: The system is said to be in chemical equilibrium when no chemical reactions are going on within the system. There is no transfer of matter from one part of the system to another due to diffusion.

3) Thermal equilibrium: When the temperature of the system is uniform and not changing throughout the system and also in the surroundings, the system is said to be in thermal equilibrium.

If the observer views the surface such that the lines of sight are parallel to the plane, he or she will see the plane as a single line. The plane will appear foreshortened in any view where the surface is neither parallel nor perpendicular to the projection plane.

From Merchant Circle