# CMAT Functions, Graphs and Statistics questions

## CMAT 2023 Functions, Graphs and Statistics questions

#### Question 1

Consider the following figure that shows the graph of the function F defined by
F(x) = | 2x | + 4 for all numbers x:

For which of the following functions G defined for all numbers x does the graph of G intersect the graph of F?

## CMAT 2022 Functions, Graphs and Statistics questions

#### Question 1

Given below are two statements:

Statement I : The set of numbers (7,8,9,a,b,10,8,7) has an arithmetic mean of 9 and mode(most frequently occurring number) as 8, Then a x b = 120.
Statement II : Let a and b be two positive integers such that a + b + a x b = 84, then a + b =20.
In the light of the above statements, choose the most appropriate answer from the options given below

## CMAT 2021 Functions, Graphs and Statistics questions

#### Question 1

Which of the following graphs represent the function of x?

Choose the correct answer from the options given below :

#### Question 2

Which of the following equations best describes the graph given below?

#### Question 3

Let $$g(x)+g(\frac{1}{x})=1+3x$$. Find the value of $$g(3)$$.

## CMAT 2019 Functions, Graphs and Statistics questions

#### Question 1

What is the area covered by a bell-shaped curve from —6 sigma to +6 sigma in normal distribution?

#### Question 2

If f(x) = $$x^3 - 4x + p$$ and f(0) and f(1) are of opposite signs, Which one of the following is neccessarily true?

## CMAT 2018 Functions, Graphs and Statistics questions

#### Question 1

If (x + 4) is a factor of $$x^3 + 2x^2 + bx + 68$$, what is the value of b?

#### Question 2

If a is between 0 and 1, which of the following statements is (are) true?
(i) $$a^2$$ - 1> 0
(ii) $$a^2$$ + 1 > 0
(iii) $$a^2$$ - a > 0

#### Question 3

Find the value of a, if:

Modulus(2a-3)=3a+2