CUET 2026 Mathematics May 26 Shift 2 Question Paper- Download Answer Key and Solution PDF

CUET 2026 May 26 Shift 2 Mathematics Question Paper is available for download here. NTA is conducting the CUET 2026 exam from 11th May to 31st May.

CUET 2026 Mathematics exam consists of 50 questions for 250 marks to be attempted in 60 minutes.
As per the marking scheme, 5 marks are awarded for each correct answer, and 1 mark is deducted for incorrect answer.

Candidates can download CUET 2026 May 26 Shift 2 Mathematics Question Paper with Answer Key and Solution PDF from links provided below.

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CUET 2026 Mathematics May 26 Shift 2 Question Paper with Solution PDF

CUET May 26 Shift 2 Mathematics Question Paper 2026	Download PDF	Check Solutions

Question 1:

Evaluate: \[ \int (3x^2 + 4x - 5) \, dx \]

(A) \( (x^3 + 2x^2 - 5x + C) \)
(B) \( (3x^3 + 4x^2 - 5x + C) \)
(C) \( (x^2 + 2x - 5 + C) \)
(D) \( (x^3 + 4x^2 - 5 + C) \)

Detailed Solution

Question 2:

If \( y = e^{2x} \), then find \( \dfrac{dy}{dx} \).

(A) \( 2e^{2x} \)
(B) \( e^x \)
(C) \( 2xe^{2x} \)
(D) \( e^{2x}+2 \)

Detailed Solution

Question 3:

Find the value of: \[ \int \frac{1}{x} \, dx \]

(A) \( \log x + C \)
(B) \( \dfrac{1}{x^2}+C \)
(C) \( x\log x + C \)
(D) \( e^x + C \)

Detailed Solution

Question 4:

Find the solution of the differential equation: \[ \frac{dy}{dx} = 3x^2 \]

(A) \( y = x^3 + C \)
(B) \( y = 3x^3 + C \)
(C) \( y = x^2 + C \)
(D) \( y = 9x + C \)

Detailed Solution

Question 5:

If \[ \frac{dy}{dx} = y \]
then which of the following is the correct solution?

(A) \( y = Ce^x \)
(B) \( y = Cx \)
(C) \( y = x^2 + C \)
(D) \( y = \log x \)

Detailed Solution

Question 6:

Which of the following functions has derivative equal to \( \cos x \)?

(A) \( \sin x \)
(B) \( -\sin x \)
(C) \( \tan x \)
(D) \( \sec x \)

Detailed Solution

Question 7:

Match the following:

(A) P–I, Q–III, R–II
(B) P–II, Q–I, R–III
(C) P–III, Q–II, R–I
(D) P–I, Q–II, R–III

Detailed Solution

Question 8:

If \[ A = \begin{bmatrix} 2 & 1 \\ 3 & 4 \end{bmatrix} \] then find \( |A| \).

(A) \( 5 \)
(B) \( 8 \)
(C) \( 11 \)
(D) \( 13 \)

Detailed Solution

Question 9:

Find the simple interest on Rs 5000 at 10% per annum for 2 years.

(A) Rs 500
(B) Rs 1000
(C) Rs 1500
(D) Rs 2000

Detailed Solution

Question 10:

A shopkeeper earns 20% profit on an article whose cost price is Rs 800. Find the selling price.

(A) Rs 920
(B) Rs 940
(C) Rs 960
(D) Rs 1000

Detailed Solution

CUET UG 2026 Exam Pattern

Parameter	Details
Exam Name	Common University Entrance Test (CUET UG) 2026
Conducting Body	National Testing Agency (NTA)
Exam Mode	Computer-Based Test (CBT)
Exam Duration	60 minutes per test
Total Sections	3 (Languages, Domain Subjects, General Test)
Question Type	Multiple Choice Questions (MCQs)
Questions per Test	50 questions (all compulsory)
Marking Scheme	+5 for correct, -1 for incorrect
Maximum Marks	250 marks per test
Maximum Subject Choices	5 subjects in total
Syllabus Base	Class 12 NCERT (mainly for Domain Subjects)

CUET UG 2026 Paper Analysis

CUET Questions

1.
The solution of the differential equation \[ (x-1)\frac{dx}{dy}+(y-2)=0, \] given that \(x=1\) when \(y=1\), represents a:

Parabola
Circle
Ellipse
Hyperbola

View Solution

2.
The order of the differential equation \[ \left(\frac{d^5y}{dx^5}\right)^2 + \frac{dy}{dx} + y^2 = 0 \] is:

1
Not defined
5
2

View Solution

3.
Find the total area of the region bounded between the curve \( y = x^3 \), the x-axis, and the vertical lines \( x = -1 \) and \( x = 1 \).

\( 0 \)
\( \frac{1}{4} \)
\( \frac{1}{2} \)
\( 1 \)

View Solution

4.
A person invested Rs.15,000 in a mutual fund; it became Rs.25,000. If CAGR is 8.88%, then the number of years \( n \) is: [Use \( -\log 1.667 = 0.2219 \); \( \log 1.089 = 0.0370 \)]

View Solution

5.
If \[ f(x)= \begin{cases} \dfrac{x-2}{|x-2|}+a, & x<2, \\[6pt] a+b, & x=2, \\[6pt] \dfrac{x-2}{|x-2|}+b, & x>2, \end{cases} \] is continuous at \(x=2\), then

\( a = 1, b = 1 \)
\( a = 1, b = -1 \)
\( a = -1, b = 1 \)
\( a = -1, b = -1 \)

View Solution

6.
A simple random sample consists of five observations: 4, 5, 9, 10 & 12. What is the point estimate of population standard deviation?

View Solution

CUET 2026 Mathematics May 26 Shift 2 Question Paper- Download Answer Key and Solution PDF

CUET 2026 Mathematics May 26 Shift 2 Question Paper with Solution PDF

CUET UG 2026 Exam Pattern

CUET UG 2026 Paper Analysis

CUET Questions

1.
The solution of the differential equation \[ (x-1)\frac{dx}{dy}+(y-2)=0, \] given that \(x=1\) when \(y=1\), represents a:

2.
The order of the differential equation \[ \left(\frac{d^5y}{dx^5}\right)^2 + \frac{dy}{dx} + y^2 = 0 \] is:

3.
Find the total area of the region bounded between the curve \( y = x^3 \), the x-axis, and the vertical lines \( x = -1 \) and \( x = 1 \).

4.
A person invested Rs.15,000 in a mutual fund; it became Rs.25,000. If CAGR is 8.88%, then the number of years \( n \) is: [Use \( -\log 1.667 = 0.2219 \); \( \log 1.089 = 0.0370 \)]

5.
If \[ f(x)= \begin{cases} \dfrac{x-2}{|x-2|}+a, & x<2, \\[6pt] a+b, & x=2, \\[6pt] \dfrac{x-2}{|x-2|}+b, & x>2, \end{cases} \] is continuous at \(x=2\), then

6.
A simple random sample consists of five observations: 4, 5, 9, 10 & 12. What is the point estimate of population standard deviation?

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CUET 2026 Mathematics May 26 Shift 2 Question Paper with Solution PDF

CUET UG 2026 Exam Pattern

CUET UG 2026 Paper Analysis

CUET Questions

1. The solution of the differential equation \[ (x-1)\frac{dx}{dy}+(y-2)=0, \] given that \(x=1\) when \(y=1\), represents a:

2.The order of the differential equation \[ \left(\frac{d^5y}{dx^5}\right)^2 + \frac{dy}{dx} + y^2 = 0 \] is:

3.Find the total area of the region bounded between the curve \( y = x^3 \), the x-axis, and the vertical lines \( x = -1 \) and \( x = 1 \).

4.A person invested Rs.15,000 in a mutual fund; it became Rs.25,000. If CAGR is 8.88%, then the number of years \( n \) is: [Use \( -\log 1.667 = 0.2219 \); \( \log 1.089 = 0.0370 \)]

5.If \[ f(x)= \begin{cases} \dfrac{x-2}{|x-2|}+a, & x<2, \\[6pt] a+b, & x=2, \\[6pt] \dfrac{x-2}{|x-2|}+b, & x>2, \end{cases} \] is continuous at \(x=2\), then

6.A simple random sample consists of five observations: 4, 5, 9, 10 & 12. What is the point estimate of population standard deviation?

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1.
The solution of the differential equation \[ (x-1)\frac{dx}{dy}+(y-2)=0, \] given that \(x=1\) when \(y=1\), represents a:

2.
The order of the differential equation \[ \left(\frac{d^5y}{dx^5}\right)^2 + \frac{dy}{dx} + y^2 = 0 \] is:

3.
Find the total area of the region bounded between the curve \( y = x^3 \), the x-axis, and the vertical lines \( x = -1 \) and \( x = 1 \).

4.
A person invested Rs.15,000 in a mutual fund; it became Rs.25,000. If CAGR is 8.88%, then the number of years \( n \) is: [Use \( -\log 1.667 = 0.2219 \); \( \log 1.089 = 0.0370 \)]

5.
If \[ f(x)= \begin{cases} \dfrac{x-2}{|x-2|}+a, & x<2, \\[6pt] a+b, & x=2, \\[6pt] \dfrac{x-2}{|x-2|}+b, & x>2, \end{cases} \] is continuous at \(x=2\), then

6.
A simple random sample consists of five observations: 4, 5, 9, 10 & 12. What is the point estimate of population standard deviation?