GATE XE 2024 question paper — Paper 1

If ‘→’ denotes increasing order of intensity, then the meaning of the words [walk → jog → sprint] is analogous to [bothered → → daunted]. Which one of the given options …

Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They …

In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is 1/4th of …

For positive non-zero real variables and , if then, the value of is

In the sequence 6, 9, 14, , 30, 41, a possible value of is

Sequence the following sentences in a coherent passage. P: This fortuitous geological event generated a colossal amount of energy and heat that resulted in the rocks ris…

A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total …

The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023. The renewable sou…

A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube. The minimu…

In the array shown below, each cell of the first three rows has either a cross (X) or a number. The number in a cell represents the count of the immediate neighboring ce…

Let with . If represents the Fourier series of , then the value of is

Let be a non-zero quadratic polynomial satisfying the differential equation where is a real constant. If , then the value of the integral is