GATE EE 2024 Question Paper (11-Feb-2024) (Shift-2)

If '→' denotes increasing order of intensity, then the meaning of the words
[talk → shout → scream] is analogous to [please → __________ → pander].
Which one of the given options is appropriate to fill the blank?

P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and watch birds outside the window. Q does not mind that as long as his bed is close to the ceiling fan.
Which one of the following arrangements suits them the most?

The decimal number system uses the characters 0, 1, 2, ..., 8, 9, and the octal number system uses the characters 0, 1, 2, ..., 6, 7.
For example, the decimal number 12 ( = $1\times 10^1+2\times 10^0$ ) is expressed as 14( = $1\times 8^1+4\times 8^0$) in the octal number system.
The decimal number 108 in the octal number system is

A shopkeeper buys shirts from a producer and sells them at 20% profit. A customer has to pay ₹3,186.00 including 18% taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer?

If, for non-zero real variables $x,y$, and real parameter $a>1$,
$x:y=(a+1):(a-1)$,
then, the ratio $(x^2\text{–}{y}^2):(x^2+y^2)$ is