CAT Calculus is one of the most vital sections in Quantitative Aptitude. After reducing the number of questions from CAT QA for the upcoming session, candidates can expect 2 to 3 questions in the entrance test. As per the difficulty level, this section of quantitative aptitude is considered as moderate. In CAT 2021, objective type of question will be framed from this section. Also, the syllabus for this part is not as vast as the other part of the section of Quantitative Aptitude. Check CAT 2021 Quantitative Aptitude Syllabus

Read the article to know more about CAT Calculus important formula, solved sample questions and basic concepts.

What is Calculus & its types?

Calculus is an integral branch of Mathematics. It is applicable to solve equations. It can be divided into two parts.

• One is Differential Calculus and another one is Integral Calculus.
• The first one i.e Differential Calculus defines rates of change and slopes of curves whereas the second one defines accumulation of quantities along with the portion between the curves.
• With the help of the fundamental theorem of calculus, these two branches of calculus are related to each other.
• Differential Calculus - In mathematics, differential calculus can be defined as the subfield of calculus that helps to know the rates at the point of changes in quantities.
• Integral Calculus - In mathematics, integral calculus is a part of calculus which helps to know about integrals, accumulation of quantities and others.

Quick Links:

CAT Quantitative Aptitude: Important Formulas for Calculus

CAT Calculus Solved Questions

Some solved questions for CAT Calculus are mentioned below:

Ques. In four points in the plane A = ( − 2 , − 2 ) , B = ( 3 , 2 ) , C = ( 5 , − 8 ) , and D = ( 7 , 3 ) . There are 3 line segments i.e A B , B C and C D in a graph of the function f ( x ). What is the integral ∫ 7 − 2 f ( x ) d x?

1. -3
2. -2
3. 1
4. -4

Correct Answer: (2)

Ques. Find the minimum value of f(x) = x2 – 5x + 41

1. 139/4
2. 149/4
3. 129/4
4. 119/4

Correct Answer: (1)

Ques. When x4 – 4x3 + ax2 – bx = 1 = 0 has positive real roots then find the maximum possible value of a + b.

1. 20
2. 12
3. 8
4. 10

Correct Answer: (4)

Ques. |x3 – 3x + 5| > -4. Find out the range of x that satisfies the equation.

1. [0,∞)
2. [-4, ∞)
3. All real values of x
4. [4,∞)

Correct Answer: (3)

Ques. Find out the maximum and minimum possible values for |x+y||x|+|y| + |z+y||z|+|y| + |z+x||x|+|z|

1. 3 and 1
2. 3 and 0
3. 4 and 0
4. 4 and 1

Correct Answer: (1)

Quick Links:

CAT Questions on Calculus for Practice are mentioned below:

In the below section, the answers of the above mentioned question regarding CAT Calculus are given.

CAT Calculus Preparation Tips

In CAT 2021, candidates need to take preparation for the section of CAT Calculus carefully as this is one of the most scoring sections in the test. Below are some preparation tips for CAT Calculus.

• Develop a clear idea on this topic
• Take note of all the important formulas
• Apply all the formulas for the sample question
• Do practice the question from the previous year’s paper
• Draw a graph if possible to remember
• Give mock test daily

Quick Links: