List of top General Aptitude Questions on mathematical reasoning asked in GATE AG

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 ________.

Human beings are one among many creatures that inhabit an imagined world. In this world, some creatures are cruel. If it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following statements can be logically inferred with certainty? (i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.

In 2022, June Huh was awarded the Fields medal. He was also a poet, did not win any medals in the International Mathematics Olympiads, and dropped out of college. Based only on this information, which statement can be inferred with certainty?