Mining Engineering Gate 2026 Questions with Answer

Ques 14 GATE 2026

Two blocks P and Q weighing 100 kN and 200 kN, respectively, are connected by a string passing through a massless and frictionless pulley fixed to a wall as shown, with P resting on top of Q. The friction coefficient between blocks P and Q is 0.4, and that between block Q and surface is 0.3. The minimum force, F, in kN, required to pull the block Q, is _______________. (answer in integer)

Ques 15 GATE 2026

Suresh said, "I did it yesterday."
Which one of the following options is the correct form of this sentence in indirect speech?

Ques 16 GATE 2026

To continue the sequence of tiles shown, the tile indicated by the question mark should be.

A

B

C

D

Ques 17 GATE 2026

Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.

Ques 18 GATE 2026

The 2^nd of June is a Thursday in a certain year. Which day of the week is the 3^rd of July in that year?

Ques 19 GATE 2026

A coin with heads facing up is shown as (H) and a coin with tails facing up is shown as (T).
Six coins are placed in the Starting Arrangement, as shown in the figure below. A "step" is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.

Ques 20 GATE 2026

Exacerbate : Mitigate :: ___________
Choose the option with the correct pair of words to fill the blank.

Ques 21 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?

Ques 22 GATE 2026

In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore,
1. the total number of patients with at least one of these conditions is 75,
2. the number of patients with high cholesterol is 10,
3. the number of patients with high BP is 45, and
4. the number of patients with only high BP and no other conditions is 20.
Then the number of patients who have both diabetes and high BP is _______

Ques 23 GATE 2026

Four people P, Q, R, and S, of different ages, make the following observations.
P – I am younger than S.
Q – I am neither the youngest nor the oldest.
R – P is older than me.
Based on these observations, the youngest person is ______.

Ques 24 GATE 2026

Circles C₁, C₂, and C₃, with centers O₁, O₂, and O₃, and radii r₁, r₂, and r₃, respectively, touch each other as shown in the following figure. Given r₁ = 2 cm, r₂ = 1 cm and the angle ∠O₁O₃O₂ is 90°, r₃ = _____ cm.

Ques 25 GATE 2026

As per the Mohs scale of hardness, the correct sequence is

Ques 26 GATE 2026

The igneous intrusion along the bedding plane of the coal seam, as indicated by P, is known as