Mathematical Reasoning Questions

The statement ~ (p ↔ ~ q) is

The contrapositive of the statement ″If it is raining, then I will not come″, is :

A particle of mass m is projected from the ground with an initial speed u0 at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision wit...

A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and the speed of light is 3 × 108 ms-1. The final momentum of the objec...

The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scal...

A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is :-...

The I-V characteristic of an LED is :

The anode voltage of photocell is kept fixed. The wavelength λ of the light falling on the cathode is gradually changed. The plate current I of the photocell varies as follows :...

In an LCR circuit as shown below both switches are open initially. Now switch S1 is closed, S2 kept open, (q is charge on the capacitor and is Capacitive time constant). Which of the following stateme...

Statement-I : Higher the range, greater is the resistance of ammeter. Statement-II : To increase the range of ammeter, additional shunt needs to be used across it....

Consider three statements : Statement-1 : nCr. 2n. = 5nStatement-2 : If sides of ᐃABC are in A.P., then one angle of ᐃABC must be 60o. Statement-3 : Equation a + a3 + a5 +.......infinite t...

Consider the following statements :P : Suman is brilliantQ : Suman is rich.R : Suman is honestthe negation of the statement″Suman is brilliant and dishonest if and only if suman is rich″ c...

The negation of the statement″If I become a teacher, then I will open aschool″, is :

If A = , then which one of the following statements is not correct ?

In a certain town, 25% of the families own a phone and 15% own a car; 65% families own neither a phone nor a car and 2,000 families own both a car and a phone. Consider the following three statements ...

Equivalent statement of the statement ″If > √2 then (√2)5 = 3″ will be...

Consider the following statements :p : Sachin plays wellq : Sachin is good at heartr : Sachin will get Bharat Ratnathen negation of the statement ″Sachin will get Bharat Ratna iff the plays will...

Let A = . The only correct statement about the matrix A is

The statement p → (q → p) is equivalent to

Consider the following statements P : Suman is brilliant Q : Suman is rich R : Suman is honest The negation of the statement ″Suman is brilliant and dishonest if and only if Suman is rich″...