Boost your CAT Quant score with CAT graphs practice questions with solutions. Master data interpretation, trend analysis, and quick calculation techniques.

CAT Graphs Practice Question with Solutions

The CAT Quant Graphs Practice Test is a beneficial facility for candidates practicing to fortify graph interpretation and problem-solving skills under the CAT Quantitative Aptitude section. Simply put, graph questions are designed to test your ability to read, analyse, and extract the necessary information from visual data. The answers to the CAT Graphs Practice Questions with Solutions presented here break down each of the problems into simple steps, helping you get a clear view of the logic and the calculation involved. Bar and line graphs, pie charts, and combination graphs dominate the CAT-type graphs. Few questions may even involve tables alongside graphs. They need a quick mental recall of concepts, percentage changes, comparisons, and trend analysis.

Graph-based questions come in individual questions or in sets of Data Interpretation in the CAT. While solving them, try an active reading of the titles, labels, and scales first. Following this, the important data points and interrelationships should be located before proceeding with the actual calculation. Practicing a variety of CAT Graphs Practice Question with Solutions will improve both accuracy and speed. Over time, you will develop the ability to quickly spot the patterns and solve even complex graph problems efficiently, giving you an advantage in the exam’s time-pressured environment.

CAT Quant Graphs Practice Questions

VARC DILR

Question 1.

Suppose k is any integer such that the equation $2x^{2}+kx+5=0$ has no real roots and the equation $x^{2}+(k-5)x+1=0$ has two distinct real roots for x. Then, the number of possible values of k is

A

9

B

7

C

8

D

13

Question 2.

Let r be a real number and $f(x) = \begin{cases}2x -r & ifx \geq r\\ r &ifx < r\end{cases}$ . Then, the equation $f(x) = f(f(x))$ holds for all real values of $x$ where

A

$x > r$

B

$x \leq r$

C

$x \neq r$

D

$x \geq r$

Question 3.

The number of integers n that satisfy the inequalities $\mid n - 60 \mid < \mid n - 100 \mid < \mid n - 20 \mid$ is

A

21

B

19

C

18

D

20

Question 4.

$f(x) = \frac{x^2 + 2x - 15}{x^2 - 7x - 18}$ is negative if and only if

A

-5 < x < -2 or 3 < x < 9

B

x < -5 or -2 < x < 3

C

-2 < x < 3 or x > 9

D

x < -5 or 3 < x < 9

Question 5.

If r is a constant such that $\mid x^2 - 4x - 13 \mid = r$ has exactly three distinct real roots, then the value of r is

A

17

B

21

C

15

D

18

Question 6.

The number of real-valued solutions of the equation $2^{x}+2^{-x}=2-(x-2)^{2}$ is:

A

1

B

2

C

infinite

D

0

Question 7.

How many disticnt positive integer-valued solutions exist to the equation $(x^{2}-7x+11)^{(x^{2}-13x+42)}=1$ ?

A

8

B

4

C

2

D

6

Question 8.

Let k be a constant. The equations $kx + y = 3$ and $4x + ky = 4$ have a unique solution if and only if

A

$\mid k\mid\neq2$

B

$\mid k\mid=2$

C

$k\neq2$

D

$k=2$

Question 9.

The quadratic equation $x^2 + bx + c = 0$ has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of $b^2 + c$ ?

A

3721

B

361

C

427

D

549

Question 10.

Suppose, $\log_3 x = \log_{12} y = a$ , where $x, y$ are positive numbers. If $G$ is the geometric mean of x and y, and $\log_6 G$ is equal to

A

$\sqrt{a}$

B

2a

C

a/2

D

a

Question 1.

The shortest distance of the point $(\frac{1}{2},1)$ from the curve y = I x -1I + I x + 1I is

A

1

B

0

C

$\sqrt{2}$

D

$\sqrt{\frac{3}{2}}$

Question 2.

Let $f(x) = x^{2}$ and $g(x) = 2^{x}$ , for all real x. Then the value of f[f(g(x)) + g(f(x))] at x = 1 is

A

16

B

18

C

36

D

40

Question 3.

Let $f(x) =2x-5$ and $g(x) =7-2x$ . Then |f(x)+ g(x)| = |f(x)|+ |g(x)| if and only if

A

$\frac{5}{2}<x<\frac{7}{2}$

B

$x\leq\frac{5}{2}$ or $x\geq\frac{7}{2}$

C

$x<\frac{5}{2}$ or $x\geq\frac{7}{2}$

D

$\frac{5}{2}\leq x\leq\frac{7}{2}$

CAT Graphs Practice Questions With Solutions

CAT Graphs Practice Question with Solutions

CAT Quant Graphs Practice Questions

Question 1.

Question 2.

Question 3.

Question 4.

Question 5.

Question 6.

Question 7.

Question 8.

Question 9.

Question 10.

Question 1.

Question 2.

Question 3.

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