CMAT Functions, Graphs and Statistics Questions

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?

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

Which of the following graphs represent the function of x?

Choose the correct answer from the options given below :

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

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

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

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?

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

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

Find the value of a, if:

 Modulus(2a-3)=3a+2