Chemical Engineering Gate 2026 Questions with Answer

Ques 27 GATE 2026


In the sequence of tiles shown below, the missing tile indicated by the question mark should be

A

B

C

D


(a) is the correct answer.

Ques 28 GATE 2026


A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?

A

There are at least 10 students who belong to the same standard.

B

There is at least one student in each standard.

C

There are at most 10 students in 10th standard.

D

The total number of students from 1st to 5th standards is at least 50.


(a) is the correct answer.

Ques 29 GATE 2026


How many 3-digit numbers can be formed using three distinct single digit prime numbers?

A

64

B

24

C

12

D

4


(b) is the correct answer.

Ques 30 GATE 2026


In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like neither Mathematics nor English. The number of students in the group is ____

A

18

B

20

C

24

D

32


(c) is the correct answer.

Ques 31 GATE 2026


Charity : P :: Retaliation : Q
Choose the appropriate pair of words P and Q that fit the analogy.

A

P = Parsimonious; Q = Vengeful

B

P = Altruistic; Q = Amicable

C

P = Resentful; Q = Spiteful

D

P = Magnanimous; Q = Vindictive


(d) is the correct answer.

Ques 32 GATE 2026


A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?

A

Only (i) can correspond to the unfolded cube in Panel I.

B

Only (ii) can correspond to the unfolded cube in Panel I.

C

Both (i) and (ii) can correspond to the unfolded cube in Panel I.

D

Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.


(d) is the correct answer.

Ques 33 GATE 2026


Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is ________

A

8

B

4

C

3

D

2


(d) is the correct answer.

Ques 34 GATE 2026


Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them:
i. Neither H2 nor H3 is the easternmost hill.
ii. Neither H2 nor H3 is the westernmost hill.
iii. Neither the easternmost hill nor the westernmost hill is the southernmost hill.
iv. Two hills are located to the west of H2.
v. The southernmost hill has at least two hills to its east.
The southernmost hill is ________.

A

H1

B

H2

C

H3

D

H4


(c) is the correct answer.

Ques 35 GATE 2026


As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T.
Given r1 = 1 cm and VY̅ = VW̅ = 4 cm, r2 = _____ cm.

A

4 − 3√2

B

1 + 2√2

C

7 − 4√2

D

5 + 3√2


(c) is the correct answer.

Ques 36 GATE 2026


In a double pipe cocurrent heat exchanger, operating at steady state, oil (specific heat capacity = 2100 J kg−1 °C−1) entering at 7 kg s−1 at 100 °C is used to heat water (specific heat capacity = 4200 J kg−1 °C−1) flowing at 3.5 kg s−1 from 20 °C to 50 °C. If the overall heat transfer coefficient is 291 W m−2 °C−1, the required heat transfer area (in m2) is _____ (rounded off to one decimal place).


(35.0) is the correct answer.

Ques 37 GATE 2026


A pipe with outer diameter of 0.02 m, carries hot water. The temperature at the outer surface of the pipe is 70 °C. This pipe is covered with two concentric layers of insulation, each having a thickness of 0.01 m. The first layer (adjacent to the pipe) is made up of felt material (thermal conductivity kf = 0.12 W m−1 °C−1), and the next layer is made up of asbestos (thermal conductivity kas = 0.15 W m−1 °C−1). The insulated pipe is exposed to ambient air at 20 °C. The convection heat transfer coefficient at the outer insulation layer is 3 W m−2 °C−1. At steady state, neglecting heat transfer due to radiation, the heat loss at the outer insulation layer (in W m−1) is _____ (rounded off to two decimal places).


(16.04) is the correct answer.

Ques 38 GATE 2026


A body is placed inside a perfectly black enclosure and is allowed to reach thermal equilibrium. According to the Kirchhoff's identity, which one of the following is equal to the emissivity of the body at a given wavelength?

A

absorptivity of the body at the same wavelength

B

reflectivity of the body at the same wavelength

C

Stefan-Boltzmann constant

D

zero


(a) is the correct answer.

Ques 39 GATE 2026


Which one of the following ratios does Grashof number represent?

A

buoyancy force to inertia force

B

buoyancy force to viscous force

C

viscous force to capillary force

D

viscous force to inertia force


(b) is the correct answer.

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