GATE CY 2021 Question Paper (06-Feb-2021) (Shift 1)

Statement: Either P marries Q or X marries Y

Among the options below, the logical NEGATION of the above statement is:

Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm each

Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.

Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.

Folding operation 1 is carried out on Sheet M three times.

Folding operation 2 is carried out on Sheet N three times.

The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is ______.

Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a star as shown in the figure above.
The value of θ, in degrees, is ______

A function λ, is defined by

λ ≤ft( p, q ) = ≤ft\{ {*20c {{≤ft( p - q )^2}, ir p ≥ q,}\\ p + q, if p < q. } .

The value of the expression $\frac{\lambda (-(-3+2),(-2+3))}{(-(-2+1))}$ is

Humans have the ability to construct worlds entirely in their minds, which don’t exist in the physical world. So far as we know, no other species possesses this ability. This skill is so important that we have different words to refer to its different flavors, such as imagination, invention and innovation.

Based on the above passage, which one of the following is TRUE?