List of top Questions asked in TS PGECET- 2026

From a set \(\{1,2,3,4,5,6,7\}\) two numbers are selected at random. The random variable \(X\) is defined as the absolute difference of the numbers selected. The mean of \(X\) is

The maximum value of \(x^2 y z^3\), subject to \(x + y + z = 42\) exist at \((x, y, z) = (\alpha, \beta, \gamma)\), then \(\alpha\beta\gamma =\)

Given below are pair of functions \(f(x)\) and \(g(x)\). Which pair is not linearly independent?

The solution of \(\frac{\partial^2 u}{\partial t^2} = 4\frac{\partial^2 u}{\partial x^2}\), \(t > 0\), \(-\infty < x < \infty\) satisfying the conditions \(u(x,0) = x\) and \(\frac{\partial u}{\partial t}(x,0) = 0\) is

Which of the following cannot be an eigen value for an unitary matrix?

If \(A\) is symmetric, \(P\) and \(B\) are skew symmetric matrices, then which of the following is correct?

The unit for the coefficient of permeability of a soil is

A pure cohesive soil has cohesion value of 40 kPa, then as per the Mohr's – Coulomb equation its shear strength is

In a total volume of 1 \(\text{m}^3\) of soil, if the pores volume is 0.5 \(\text{m}^3\), then the porosity of soil grains is

The term 'extinction' is mostly related to the following environmental issue

Biotic community that breaks down the complex organic compounds into dead matter is

The saline concentration of inland waters is

Evapotranspiration is typically expressed in which one of the following units?

The Physiographical factors that affect the runoff is

Which one of the following indicates an approximate range of runoff coefficient for a clay soil?

The height derived or deduced directly from the GPS observations is referred as

The GNSS service developed indigenously by the ISRO is

Which one of the following is not a commercial GIS software?

Arrange the GIS Data Modelling Steps (A, B, C and D) in the correct order A. Identify possible features from the real world B. Use the selected method to represent the feature in the GIS C. Select a method for representing the feature D. Identify appropriate attributes for the feature

Which one of the following is incorrect with reference to the Raster Data?

The temporal resolution of a larger swath width covered by the satellite is

The revisit time of a Moderate Resolution Imaging Spectroradiometer (MODIS) satellite sensor is

How many times, the electromagnetic energy passes through the atmosphere from the Sun to the Earth and back to the sensor?

Which of the following common natural surfaces on the Earth have highest albedo?

The energy received by the Earth from the Sun is called as