List of top Mathematics Questions on mathematical reasoning asked in MET

If $p$ and $q$ are two statements, then $(p \land q) \lor (q \leftrightarrow p)$ is

Find the greatest value of \(xyz\) for positive values of \(x,y,z\) subject to the condition \(xy + yz + zx = 12\)

If \(Q\) is real and \(z_1, z_2\) are connected by \(z_1^2 + z_2^2 + 2z_1z_2\cos \theta = 0\) then triangle with vertices \(0, z_1\) and \(z_2\) is

Negation of “Ram is in Class X or Rashmi is in Class XII” is

The inequality \( n!>2^{n-1} \) is true for

A man walks 5 km South and then turns Right. After walking 3 km he turns Left and walks 5 km. Now in which direction is he from the starting place?

Pointing to a photograph, a man said, "I have no brother or sister but that man's father is my father's son." Whose photograph was it?