CUET 2026 Mathematics May 15 Shift 1 Question Paper- Download Answer Key and Solution PDF

CUET 2026 May 15 Shift 1 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 15 Shift 1 Mathematics Question Paper with Answer Key and Solution PDF from links provided below.

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CUET 2026 Mathematics May 15 Shift 1 Question Paper with Solution PDF

CUET May 15 Shift 1 Mathematics Question Paper 2026	Download PDF	Check Solutions

Question 1:

Let \( A = \{1,2,3\} \) and \( B = \{2,4,6\} \). A function \( f : A \to B \) is defined by \( f(x)=2x \). The function is:

(A) One-one only
(B) Onto only
(C) Both one-one and onto
(D) Neither one-one nor onto

Detailed Solution

Question 2:

If \[ A= \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \] then \(A^{-1}\) is:

(A) \[ \begin{pmatrix} -2 & 1 \\ \frac{3}{2} & -\frac{1}{2} \end{pmatrix} \]
(B) \[ \begin{pmatrix} 2 & 1 \\ \frac{3}{2} & -\frac{1}{2} \end{pmatrix} \]
(C) \[ \begin{pmatrix} 2 & 1 \\ \frac{3}{2} & \frac{1}{2} \end{pmatrix} \]
(D) \[ \begin{pmatrix} -2 & 1 \\ -\frac{3}{2} & -\frac{1}{2} \end{pmatrix} \]

Detailed Solution

Question 3:

Evaluate: \[ \begin{vmatrix} 1 & 2 & 3 \\ 0 & 1 & 4 \\ 5 & 6 & 0 \end{vmatrix} \]

(A) 1
(B) -1
(C) 5
(D) 10

Detailed Solution

Question 4:

A bag contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. The probability that both are red is:

(A) (\(\frac{5}{14}\))
(B) (\(\frac{8}{56}\))
(C) (\(\frac{5}{28}\))
(D) (\(\frac{15}{56}\))

Detailed Solution

Question 5:

If \( f(x)= \begin{cases} x^2+k, & x\leq 1
2x+1, & x>1 \end{cases} \) is continuous at \( x=1 \), then the value of \( k \) is:

(A) 1
(B) 2
(C) 3
(D) 4

Detailed Solution

Question 6:

Solve: \( \frac{dy}{dx}=3x^2 \)

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

Detailed Solution

Question 7:

The feasible region of a linear programming problem is always:

(A) Circular
(B) Open
(C) Convex
(D) Irregular

Detailed Solution

Question 8:

The principal value of \( \tan^{-1}(1) \) is:

(A) (0)
(B) (\(\frac{\pi}{6}\))
(C) (\(\frac{\pi}{4}\))
(D) (\(\frac{\pi}{2}\))

Detailed Solution

Question 9:

Differentiate: \( y = x^2\sin x \)

(A) \( (2x\sin x) \)
(B) \( (x^2\cos x) \)
(C) \( (2x\sin x + x^2\cos x) \)
(D) \( (2x\cos x) \)

Detailed Solution

Question 10:

Evaluate: \( \int_0^1 (2x+1) dx \)

(A) 1
(B) 2
(C) 3
(D) 4

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 Question Paper Analysis

CUET Questions

1.
If \( A=\begin{bmatrix}2 & 3 \\ 5 & -2\end{bmatrix} \), then:

\( A^{-1}=\frac{1}{11}A \)
\( A^{-1}=\frac{1}{19}A \)
\( A^{-1}=-\frac{1}{19}A \)
\( A^{-1}=\frac{1}{7}A \)

View Solution

2.
A pump can fill a tank in 2 hours. Because of a leak, it took \( 2 \frac{1}{3} \) hours (or 7/3 hours) to fill the tank. In how many hours can the leak drain all the water?

14 hours
7/3 hours
3/7 hours
7 hours

View Solution

3.
M is a square matrix of order 3. If \[ M(\operatorname{adj} M)= \begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix}, \] then the value of \[ |M+\operatorname{adj} M| \] is equal to:

\( 125 \)
\( 30 \)
\( 25 \)
\( 50 \)

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.
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

6.
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

CUET 2026 Mathematics May 15 Shift 1 Question Paper- Download Answer Key and Solution PDF

CUET 2026 Mathematics May 15 Shift 1 Question Paper with Solution PDF

CUET UG 2026 Exam Pattern

CUET UG 2026 Question Paper Analysis

CUET Questions

1.
If \( A=\begin{bmatrix}2 & 3 \\ 5 & -2\end{bmatrix} \), then:

2.
A pump can fill a tank in 2 hours. Because of a leak, it took \( 2 \frac{1}{3} \) hours (or 7/3 hours) to fill the tank. In how many hours can the leak drain all the water?

3.
M is a square matrix of order 3. If \[ M(\operatorname{adj} M)= \begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix}, \] then the value of \[ |M+\operatorname{adj} M| \] is equal to:

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

6.
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

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CUET 2026 Mathematics May 15 Shift 1 Question Paper with Solution PDF

CUET UG 2026 Exam Pattern

CUET UG 2026 Question Paper Analysis

CUET Questions

1.If \( A=\begin{bmatrix}2 & 3 \\ 5 & -2\end{bmatrix} \), then:

2.A pump can fill a tank in 2 hours. Because of a leak, it took \( 2 \frac{1}{3} \) hours (or 7/3 hours) to fill the tank. In how many hours can the leak drain all the water?

3.M is a square matrix of order 3. If \[ M(\operatorname{adj} M)= \begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix}, \] then the value of \[ |M+\operatorname{adj} M| \] is equal to:

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

6.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

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1.
If \( A=\begin{bmatrix}2 & 3 \\ 5 & -2\end{bmatrix} \), then:

2.
A pump can fill a tank in 2 hours. Because of a leak, it took \( 2 \frac{1}{3} \) hours (or 7/3 hours) to fill the tank. In how many hours can the leak drain all the water?

3.
M is a square matrix of order 3. If \[ M(\operatorname{adj} M)= \begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix}, \] then the value of \[ |M+\operatorname{adj} M| \] is equal to:

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

6.
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