Class 12th

What is the real matrix?

The maximum number of compound propositions, out of   $p\vee r\vee s,p\vee r\vee \sim s,p\vee \sim q\vee s,\sim p\vee \sim r\vee s,\sim p\vee \sim r\vee \sim s,\sim p\vee q\vee \sim s,$ $q\vee r\vee \sim s,q\vee \sim r\vee \sim s,\sim p\vee \sim q\vee \sim s$ that can be made simultaneously true by an assignment of the truth values to p, q, r and s, is equal to………….

Let S = $\left\{1,2,3,4\right\}.$  Then the number of elements in the set  is……………….

$\left\{f:S*S:fisontoandf(a,b)=f(b,a)\ge a\forall (a,b)\in S*S\right\}$

 If cot a = 1 and sec b = $-\frac{5}{3}$ , where   $\pi <\alpha <\frac{3\pi }{2}and\frac{\pi }{2}<\beta <\pi ,$ then the value of tan(a + b) and the quadrant in which a + b lies, respectively are:

The conversion of propan-1- ol to n- butylamine involves the sequential addition of reagents. The correct sequential order of reagent is

Hex-4- ene- 2-ol on treatment with PCC gives 'A' on reaction with sodium hypolodite gives 'B', which on further heating with soda lime gives 'C'. The compound 'C' is

The probability that a randomly chosen one-one function from the set $\left\{a,b,c,d\right\}$ to the set $\left\{1,2,3,4,5\right\}$ satisfies f(a) + 2f(b) – f(c)  = f(d) is:

The probability that a randomly chosen one-one function from the set $\left\{a,b,c,d\right\}$ to the set $\left\{1,2,3,4,5\right\}$ satisfies f(a) + 2f(b) – f(c)  = f(d) is: