Functions, Graphs, and Statistics are pivotal topics in the XAT Quantitative Ability section, requiring strong analytical skills and an understanding of data representation. This set of questions dives deep into these essential areas, focusing on concepts such as function behavior, graph interpretation, and statistical calculations. Each question is paired with comprehensive solutions to help you learn the tricks and techniques for solving them efficiently. For a well-rounded preparation, review the entire XAT syllabus to ensure you’re covering all exam-relevant topics.
Download the PDF and take your XAT 2025 preparation to the next level with this specialized practice set! Remember, consistent practice is essential for success, and attempting a XAT mock test will give you valuable insights into the exam pattern and question types.
If f(x) = ax + b, a and b are positive real numbers and if f(f(x)) = 9x + 8, then the value of a + b is:
correct answer:-3
f is a function for which f(1)= 1 and f(x) = 2x + f(x - 1) for each natural number x$$\geq$$2. Find f(31)
correct answer:-4
Find the equation of the graph shown below.
correct answer:-4
If $$f(x^2 - 1) = x^4 - 7x^2 + k_1$$ and $$f(x^3 - 2) = x^6 - 9x^3 +k_2$$ then the value of $$(k_2 - k_1)$$ is
correct answer:-3
For a positive integer x, define f(x) such that f(x + a) = f(a × x), where a is an integer and f(1) = 4. If the value of f(1003) = k, then the value of ‘k’ will be:
correct answer:-5
The mean of six positive integers is 15. The median is 18, and the only mode of the integers is less than 18. The maximum possible value of the largest of the six integers is
correct answer:-4
The figure below shows the graph of a function f(x). How many solutions does the equation f(f(x)) = 15 have?
correct answer:-3
The domain of the function $$f(x) =log_{7}({ log_{3}(log_{5}(20x-x^{2}-91 )))}$$ is:
correct answer:-2
Determine the value(s) of “a” for which the point $$(a, a^{2})$$ lies inside the triangle formed by the lines: 2x+ 3y= 1, x+ 2y=3 and 5x-6y= 1
correct answer:-3
The operation (x) is defined by
(i) (1) = 2
(ii)(x + y) = (x).(y)
for all positive integers x and y.
If $$\sum_{x=1}^n(x)$$ = 1022 then n =
correct answer:-2
Let $$A_{1},A_{2},.....A_{n}$$ be then points on the straight - line y = px + q. The coordinates of $$A_{k}is(X_{k},Y_{k})$$, where k = 1, 2, ...n such that $$X_{1},X_{2}....X_{n}$$ are in arithmetic progression. The coordinates of $$A_{2}$$ is (2,–2) and $$A_{24}$$ is (68, 31).
The y - ordinates of $$A_8$$ is
correct answer:-3
Let $$A_{1},A_{2},.....A_{n}$$ be then points on the straight - line y = px + q. The coordinates of $$A_{k}is(X_{k},Y_{k})$$, where k = 1, 2, ...n such that $$X_{1},X_{2}....X_{n}$$ are in arithmetic progression. The coordinates of $$A_{2}$$ is (2,–2) and $$A_{24}$$ is (68, 31).
The number of point(s) satisfying the above mentioned characteristics and not in the first quadrant is/are
correct answer:-3