GATE IN 2024 Question Paper (04-Feb-2024) (Shift 2)

If '→' denotes increasing order of intensity, then the meaning of the words
[drizzle → rain → downpour] is analogous to [ ________ → quarrel → feud].
Which one of the given options is appropriate to fill the blank?

Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?

A student was supposed to multiplya positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in the student's answer is 80%, the value of $q$ is

If the sum of the first 20 consecutive positive odd numbers is divided by $20^2$, the result is

The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is