List of top Questions asked in GATE GG- 2026

The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
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 ______.
The wavelength of a certain portion of the electromagnetic spectrum ranges from 2000 nm to 3000 nm. The highest frequency associated with the above portion of the spectrum is____________\(\times10^{8}\) MHz (rounded off to one decimal place).
Circles \(C_1\), \(C_2\), and \(C_3\), with centers \(O_1\), \(O_2\), and \(O_3\), and radii \(r_1\), \(r_2\), and \(r_3\), respectively, touch each other as shown in the following figure. Given \(r_1 = 2\) cm, \(r_2 = 1\) cm and the angle \(\angle O_1 O_3 O_2\) is 90 degrees, \(r_3 =\) _____ cm.
Which one of the following is NOT a volcanic igneous rock?
Which of the following assumptions is/are valid for electromagnetic induction to happen in the Earth?
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 ________.
In regions of lateral conductivity contrasts, the time-independent separation between the subsurface apparent resistivity curves of transverse electric (TE) and transverse magnetic (TM) modes relative to each other arises mainly due to
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Which one of the following is the CORRECT pair of radioactive parent isotope and the corresponding radiogenic daughter isotope?
Which one of the following increases over time when the soil is fully saturated?
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 quartz vein in a granitic outcrop has an initial length of 20 cm. If it undergoes uniform stretching resulting in a longitudinal strain of 0.45, the length of the vein post deformation is _________cm (answer in integer).
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 ________.
Between \(L_1\) and \(L_2\) norms, which one of the following is CORRECT in the treatment of outliers in the data?
What is the value of magnetotelluric impedance phase over a homogeneous half-space?
If the depth of penetration of an inducing electromagnetic wave of 1 kHz frequency is 400 m, then the resistivity of the subsurface is __________ \(\Omega\)m (answer in integer).
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 _______
Given data \(d = \begin{bmatrix} d_{11} \\ d_{21} \end{bmatrix}\) and the kernel \(G = \begin{bmatrix} G_{11} & G_{12} & G_{13} \\ G_{21} & G_{22} & G_{23} \end{bmatrix}\), which one of the following expressions correctly represents the generalized linear inverse formula for the model, \(m\), satisfying \(d = Gm\)?
Which of the following is/are REE-bearing mineral(s)?
Which one of the following is a physical weathering process?
In which one of the following layers inside the Earth, the velocity of the P-wave exceeds 13 km/s?
The model regularization in a damped least square problem is/are used to
A pebble has an average diameter of 8 mm. Its \(\phi\)-value on the Udden-Wentworth scale is ___________ (answer in integer).
Suresh said, "I did it yesterday." Which one of the following options is the correct form of this sentence in indirect speech?