List of top Questions asked in GATE Statistics

The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by imaging very old stars formed almost 13 billion years ago. Astrophysicists and cosmologists believe that this odyssey in space may even shed light on the existence of dark matter. Dark matter is supposed to interact only via the gravitational interaction and not through the electromagnetic-, the weak- or the strong-interaction. This may justify the epithet “dark” in dark matter. Based on the above paragraph, which one of the following statements is FALSE?

Let \(a = 30!\), \(b = 50!\), and \(c = 100!\). Consider the following numbers: \(\log_a c\), \(\log_c a\), \(\log_b a\), \(\log_a b\)
Which one of the following inequalities is CORRECT?

“I have not yet decided what I will do this evening; I ................. visit a friend.”

Eject : Insert :: Advance : ............... (By word meaning)

A duck named Donald Duck says “All ducks always lie.” Based only on the information above, which one of the following statements can be logically inferred with certainty?