STATEMENT-I : The graph of consists of only two line segments. Where [.] represent greatest integer function and
STATEMENT-II : The graph of is

Statement 1: Let be a continuous and onto function, then it cannot be one-one. And
Statement 2: If for a continuous and differentiable function f, then f(x) is one-one

Number of solutions of the equation |3x 2| = 3[x] + 2{x}, where [.] and {.} denote the integral and fractional parts of x respectively, is

A mixture of benzene and toluene can be separated by

The solution set of the inequality log_1/5 (2x + 5) + log₅ (16 x 2) 1 is

Let f be an injective map with domain and range such that exactly one of the following statements is correct and the remaining are false The value ofis

For such questions, we should know concept of injective function.

Hyper conjugation effect is not possible in which of the following species

The graph (y x) against is as shown. Which one of the following shows the graph of y against ?

For each x in [0, 1] define f(x) = Let f^((b) (x)=f(f(x)), f^(n+(a) (x) = f⁽ⁿ⁾(f(x)) for each integer n 2. For how many values of x is [0, 1] is f⁽²⁰⁰⁸⁾ (x) = 1/2?

Ifand are the roots of the equation then the quadratic equation whose roots are

The probability of getting at least 2 heads, when an unbiased coin is
tossed 6 times is

Most stable carbocation is

Inductive effect involves