NDA || Weekly Revision Quiz

The relation S is defined on the set of integers Z as xSy if integer x divides integer y. then

If a ≠ b ≠ c are all positive, then the value of the determinant  is

Let A and B be two matrices such that AB = A and BA = B. Which of the following statements are correct?

1) A² = A

2) B² = B

3) (AB)² = AB

Select the correct answer using the code given below :

In free space, a particle A of charge 1 C is held fixed at a point P. Another particle B of the same charge and mass 4g is kept at a distance of 1 mm from P. If B is released, then is the velocity at a distance of 9 mm from P is :

[ Take:- ]

A student is standing at a distance of 25 metre from a bus. As soon as the bus starts with an acceleration of 2 ms^{− 2}, the student started running towards the bus with a uniform velocity u (bus is moving away from student). Assuming the motion to be along a straight road, the minimum value of u (in m/s) , so that the student is able to reach the bus is

A body starting from rest accelerates uniformly at the rate of 10 cms^–2 and retards uniformly at the rate of 20 cms^–2. The least time (in sec) in which it can complete a journey of 5 km (if maximum velocity attained during the journey is 72 kmh^–1) is-

Consider the following reaction:

xAa₂S₃ + yO₂→ zAs₂O₃ + wSO₂

What is y (the coefficient for O₂) when this equation is balanced using whole number coefficients?

How many grams of MgCO₃ contain 24.00 gm of oxygen? The molar mass of MgCO₃ is 84.30 g mol^-1) -

A sample of gas is to be identified by means of its behaviour in the presence of a glowing splint. Which of the following gases will neither itself burn nor cause the splint to burn?

Growth and repair of damaged tissue involve –