CUET 2026 Mathematics May 18 Shift 2 Question Paper- Download Answer Key and Solution PDF

CUET 2026 May 18 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 18 Shift 2 Mathematics Question Paper with Answer Key and Solution PDF from links provided below.

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CUET 2026 Mathematics May 18 Shift 2 Question Paper with Solution PDF

CUET May 18 Shift 2 Mathematics Question Paper 2026	Download PDF	Check Solutions

Question 1:

Match the following integrals in Column I with their corresponding results in Column II:

Column I	Column II
A. \[ \int \frac{dx}{x^2-a^2} \]	I. \[ \frac{1}{2a}\log\left\|\frac{a+x}{a-x}\right\|+C \]
B. \[ \int \frac{dx}{a^2-x^2} \]	II. \[ \log\left\|x+\sqrt{x^2-a^2}\right\|+C \]
C. \[ \int \frac{dx}{\sqrt{x^2-a^2}} \]	III. \[ \frac{1}{2a}\log\left\|\frac{x-a}{x+a}\right\|+C \]
D. \[ \int \frac{dx}{\sqrt{a^2-x^2}} \]	IV. \[ \sin^{-1}\frac{x}{a}+C \]

(A) \( A-I,\ B-III,\ C-IV,\ D-II \)
(B) \( A-III,\ B-I,\ C-II,\ D-IV \)
(C) \( A-III,\ B-II,\ C-I,\ D-IV \)
(D) \( A-IV,\ B-II,\ C-III,\ D-I \)

View Solution

Question 2:

If \( R = \{(x,y)\mid x,y \in \mathbb{Z},\ x^2+y^2\leq 4\} \) is a relation in \( \mathbb{Z} \), then the domain of \( R \) is:

(A) \( \{0,1,2\} \)
(B) \( \{0,-1,-2\} \)
(C) \( \{-2,-1,0,1,2\} \)
(D) \( \{-1,0,2\} \)

View Solution

Question 3:

If \( R=\{(x,y)\mid x,y\in \mathbb{R},\ x^2+y^2=1\} \) is a relation in \( \mathbb{R} \), then \(R\) is:

(A) Reflexive
(B) Symmetric
(C) Transitive
(D) Equivalence Relation

View Solution

Question 4:

The value of \( \cot^{-1}\left[2\cos\left(2\sin^{-1}\frac{1}{2}\right)\right] \) is:

(A) \( \frac{\pi}{6} \)
(B) \( \frac{\pi}{4} \)
(C) \( \frac{2\pi}{3} \)
(D) \( \frac{\pi}{3} \)

View Solution

Question 5:

The value of \( \cos\left(\frac{\pi}{6}-\cos^{-1}\left(-\frac{\sqrt3}{2}\right)\right) \) is equal to:

(A) \( -\frac{\sqrt1}{2} \)
(B) \( -\frac{1}{\sqrt2} \)
(C) \( -\frac{1}{2} \)
(D) \( \frac{1}{2} \)

View Solution

Question 6:

If \[ A= \begin{bmatrix} 2 & 3 \\ 5 & -2 \end{bmatrix}, \] then:

(A) \[ A^{-1}=\frac{1}{11}A \]
(B) \[ A^{-1}=\frac{1}{19}A \]
(C) \[ A^{-1}=-\frac{1}{19}A \]
(D) \[ A^{-1}=\frac{1}{7}A \]

View Solution

Question 7:

The value of \( \lambda \) for which the following system of equations has unique solution:
\[ \lambda x+3y-z=1 \]
\[ x+2y+z=2 \]
\[ -\lambda x+y+2z=-1 \]

are:

(A) \( \lambda\neq \frac{5}{2} \)
(B) \( \lambda\neq \frac{3}{2} \)
(C) \( \lambda\neq \frac{7}{2} \)
(D) \( \lambda\neq -\frac{7}{2} \)

View Solution

Question 8:

If \( B \) is a non-singular \(4\times4\) matrix and \( A \) is its adjoint such that \( |A|=125 \), then \( |B| \) is:

(A) \( 5 \)
(B) \( 25 \)
(C) \( 125 \)
(D) \( 625 \)

View Solution

Question 9:

If \( A \) is a square matrix of order \(3\) such that \( |2(\operatorname{adj}A)|=288 \), then the value of \( |A| \) is:

(A) \( 144 \)
(B) \( 36 \)
(C) \( \pm 12 \)
(D) \( \pm 6 \)

View Solution

Question 10:

If \( A \) is a square matrix of order \(3\) and \( |A|=-3 \), then the value of \( |2AA^T| \) is:

(A) \( -36 \)
(B) \( 72 \)
(C) \( -72 \)
(D) \( 36 \)

View 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.
A function \[ f(x)=12x^{4/3}-6x^{1/3}, \qquad x\in[-1,1] \] is given. Then, which of the following are TRUE?

(A) \(f(x)\) has a critical point at \(x=\dfrac{1}{8}\)
(B) Absolute maximum value of \(f(x)\) is \(18\)
(C) Absolute maximum value of \(f(x)\) is \(6\)
(D) Absolute minimum value of \(f(x)\) is \(-\dfrac{9}{4}\)

(A), (C) and (D) only
(A) and (B) only
(A), (B) and (D) only
(C) and (D) only

View Solution

2.
The function \[ f(x)=\sum_{k=1}^{7}(x-k)^2 \] has a minimum value at \(x=a\). Then, \(a\) is equal to:

View Solution

3.
Water is leaking from the bottom of a conical funnel at the rate of \(0.15\pi\) cm³/s. If the radius of the base is 10 cm and the height is 20 cm, then the rate at which the water level is dropping when it is 5 cm from the top is:

\( 1/375 \) cm/s
3.75 cm/s
\( 1/375 \) cm/s
2.75 cm/s

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.
A TV set costing Rs.55,000 has a useful life of 8 years. If annual depreciation is Rs.5,000, then the scrap value by straight line method is:

Rs.5,000
Rs.20,000
Rs.10,000
Rs.15,000

View Solution

6.
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

CUET 2026 Mathematics May 18 Shift 2 Question Paper- Download Answer Key and Solution PDF

CUET 2026 Mathematics May 18 Shift 2 Question Paper with Solution PDF

CUET UG 2026 Exam Pattern

CUET UG 2026 Question Paper Analysis

CUET Questions

2.
The function \[ f(x)=\sum_{k=1}^{7}(x-k)^2 \] has a minimum value at \(x=a\). Then, \(a\) is equal to:

3.
Water is leaking from the bottom of a conical funnel at the rate of \(0.15\pi\) cm³/s. If the radius of the base is 10 cm and the height is 20 cm, then the rate at which the water level is dropping when it is 5 cm from the top is:

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.
A TV set costing Rs.55,000 has a useful life of 8 years. If annual depreciation is Rs.5,000, then the scrap value by straight line method is:

6.
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?

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CUET 2026 Mathematics May 18 Shift 2 Question Paper with Solution PDF

CUET UG 2026 Exam Pattern

CUET UG 2026 Question Paper Analysis

CUET Questions

2. The function \[ f(x)=\sum_{k=1}^{7}(x-k)^2 \] has a minimum value at \(x=a\). Then, \(a\) is equal to:

3.Water is leaking from the bottom of a conical funnel at the rate of \(0.15\pi\) cm3/s. If the radius of the base is 10 cm and the height is 20 cm, then the rate at which the water level is dropping when it is 5 cm from the top is:

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.A TV set costing Rs.55,000 has a useful life of 8 years. If annual depreciation is Rs.5,000, then the scrap value by straight line method is:

6.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?

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
The function \[ f(x)=\sum_{k=1}^{7}(x-k)^2 \] has a minimum value at \(x=a\). Then, \(a\) is equal to:

3.
Water is leaking from the bottom of a conical funnel at the rate of \(0.15\pi\) cm³/s. If the radius of the base is 10 cm and the height is 20 cm, then the rate at which the water level is dropping when it is 5 cm from the top is:

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.
A TV set costing Rs.55,000 has a useful life of 8 years. If annual depreciation is Rs.5,000, then the scrap value by straight line method is:

6.
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?