NDA || Weekly_Revision || Quiz

Let S be a set of all distinct numbers of the form  where p, q ∈ {1, 2, 3, 4, 5, 6}. What is the cardinality of the set S?

If A is a square matrix of order 3 and det
A = 5, then what is equal to ?

If  where z = x + iy is a complex number, then which one of the following is correct?

If both the roots of the equation x² - 2kx + k² – 4 = 0 lie between -3 and 5, then which one of the following is correct?

Let R be a relation from A = {1, 2, 3, 4} to B = {1, 3, 5} such that

 where  and

What is  equal to?

A time-dependent force F(t) acts on a body for a duration of 2 seconds. If the dependency of force on time is (3t² + 2) N (where t is time), find the magnitude of impulse imparted.

A lift in a multistorey building is facing technical issues. From the ground to the 2^nd floor, the lift upwards with a uniform speed of 1 m/s, but from the 2^nd floor onwards, it moved with a constant acceleration of 1.2 m/s². Find the change in the apparent weight of a man of mass 60 kg who is going to the 4^th floor from the ground.

(g = 9.8 ms^-2)

What is the correct dimensional formula for energy density?

Match List I with List II and select the correct answer using the code given below the Lists :

Which one of the following species is not capable of showing disproportionation reaction?