Chemistry
CUET 2023 EXAMS
(MATHEMATICS MBQs)
Exam Date: 21 May, 22 May, 23 May, 24 May, 25 May
DURATION : 60 Minutes
General Instructions
Please read the following instructions very carefully
1. You have 60 Minutes to complete the test.
2. The test contains a total of 50 Questions. You have to attempt any 40.
3. You will be awarded 5 marks for each correct answer. Click on the most appropriate option to mark your answer.
4. There is a penalty of 1 mark for each wrong answer.
5. You can change your answer by clicking on some other option.
6. You can unmark your answer by clicking on the "Clear Response" button.
7. A Number list of all questions appears on the right-hand side of the screen. You can access the questions in any order with in a
section or across sections by clicking on the question number given on the number list.
8. You can use rough sheets while taking the test. Do not use calculators, log tables, dictionaries, or any other printed/on line reference
material during the test.
9. Do not click the button "Submit Test" before completing the test. A test once submitted cannot be resumed.
Choose Your Default Language: ENGLISH
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1
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,CUET 2023 MBQs (Mathematics)
To Attempt these Questions as Mock Test Click on the Links
CUET MBT-Mathematics (Exam Date-21 May 2023) https://dl.adda247.com/6oF1
CUET MBT-Mathematics (Exam Date-22 May 2023) https://dl.adda247.com/7fDA
CUET MBT-Mathematics (Exam Date-23 May 2023) https://dl.adda247.com/Q3R2
CUET MBT-Mathematics (Exam Date-24 May 2023) https://dl.adda247.com/Kg4x
CUET MBT-Mathematics (Exam Date-25 May 2023) https://dl.adda247.com/TCkn
Exam Date 21st May 2023
Q1. A relation R is defined on a set A = [ 1 ,2 ,3 } by R = { (1 ,2) , (2 ,1) , (1 ,1) ,(2 ,2) } .Then which of the
following is correct ?
(a) R is reflexive and symmetric
(b) R is symmetric and transitive
(c) R is reflexive and transitive
(d) R is an equivalence relation
𝑥+1
Q2. Find the inverse function of 𝑓(𝑥) = 𝑥−1
𝑥+1
(a) 𝑓 −1 (𝑥) =
𝑥−1
(b) 𝑓 −1 (𝑥) = 𝑥
𝑥−1
(c) 𝑓 −1 (𝑥) =
𝑥+1
−1 (𝑥) 2𝑥
(d) 𝑓 = 𝑥+1
Q3. If 2 tan−1 𝑥 + cot −1 𝑥 = 𝜋 ; find the value of x = ?
(a) 1
(b) ∞
(c) -1
(d) 2
Q4. If A is a square matrix of order 3 × 3 and |A|= 2 then value of |kA| = ?
(a) 2𝑘
(b) 2𝑘 2
(c) 2𝑘 3
(d) 𝑘 3
Q5. Given, 2𝑥 − 𝑦 + 2𝑧 = 2 , 𝑥 − 2𝑦 + 𝑧 = −4 , 𝑥 + 𝑦 + 𝜆𝑧 = 4 , then the value of λ such that the
given system of equations has no solution, is
(a) 3
(b) 1
(c) 0
(d) –3
P a g e |2
,CUET 2023 MBQs (Mathematics)
1 2 3
Q6. Direction: Let 𝐴 = [−1 −2 1] be a matrix of order 3 × 3
1 0 5
LIST I LIST II
P. Co- factors of 𝑎11 I. 8
Q. Co – factors of 𝑎31 II. 2
R. Co- factors of 𝑎22 III. -10
S. Co- factors of 𝑎12 IV. 6
(a) 𝑃 → 𝐼 , 𝑄 → 𝐼𝐼 , 𝑅 → 𝐼𝐼𝐼 , 𝑆 → 𝐼𝑉
(b) 𝑃 → 𝐼𝐼𝐼 , 𝑄 → 𝐼 , 𝑅 → 𝐼𝐼 , 𝑆 → 𝐼𝑉
(c) 𝑃 → 𝐼𝑉 , 𝑄 → 𝐼𝐼 , 𝑅 → 𝐼𝐼𝐼 , 𝑆 → 𝐼
(d) 𝑃 → 𝐼 , 𝑄 → 𝐼𝐼𝐼 , 𝑅 → 𝐼𝐼 , 𝑆 → 𝐼𝑉
𝑥 − 2 ,𝑥 ≥ 5
Q7. Let 𝑓(𝑥) = { be a continuous function at x = 5 then find the value of k = ?
𝑘 ,𝑥 < 5
(a) 0
(b) 1
(c) 2
(d) 3
𝑑2 𝑦 𝜋
Q8. If 𝑥 = 𝑎 cos 𝜃 , 𝑦 = 𝑏 sin 𝜃 then find the value of 𝑑𝑥 2 at 𝜃 = 2
𝑏
(a) − 𝑎
𝑏
(b) − 𝑎2
𝑏
(c) 𝑎
𝑏
(d) 𝑎3
𝑑2 𝑦
Q9. If 𝑥 = 2 sin 𝜃 and 𝑦 = 2 cos 𝜃 then find the value of 2 at 𝜃 = 0°
𝑑𝑥
(a) 1
(b) 1/2
(c) 0
(d) -1/2
Q10. Find the maximum value of 𝑓(𝑥) = 4𝑥 2 − 4𝑥 + 4 on R
(a) 3
(b) 4
(c) 10
(d) Does not exist
Q11. Find the value of “a” if the function 𝑥 3 − 6𝑥 2 + 𝑎𝑥 is increasing for all the values of x.
(a) 𝑎 > 12
(b) 𝑎 < 12
(c) 𝑎 = 12
(d) None of these
P a g e |3
, CUET 2023 MBQs (Mathematics)
Q12. Find local minima value of the function: 𝑓(𝑥) = (𝑥 − 5)4
(a) Local minima value is 𝑓(5) = 0
(b) Local minima value is 𝑓(4) = 1
(c) Local minima value is 𝑓(6) = 1
(d) Local minima value is 𝑓(7) = 16
Q13. Find the point at which the tangent to the curve 𝑦 = 𝑥 3 − 3𝑥 2 − 9𝑥 + 7 parallel to the x – axis
(a) (−1 ,12 ) and (3 , −20)
(b) (1 ,12 ) and (3 , −20)
(c) (−1 ,12 ) and (−3 , 20)
(d) (1 ,12 ) and (3 , 20)
𝜋
3 1
Q14. Evaluate: ∫ 𝜋
1+√cot 𝑥
𝑑𝑥
6
𝜋
(a) 3
𝜋
(b) 6
𝜋
(c) 12
2𝜋
(d) 3
𝑥3
Q15. Evaluate: ∫ 𝑥+1 𝑑𝑥
𝑥3 𝑥2
(a) + + 𝑥 − log|𝑥 + 1| + 𝐶
3 2
𝑥3 𝑥2
(b) 3 − 2 + 𝑥 − log|𝑥 + 1| + 𝐶
𝑥3 𝑥2
(c) 3 − 2 + 𝑥 + log|𝑥 + 1| + 𝐶
𝑥3 𝑥2
(d) 3 − 2 − 𝑥 − log|𝑥 + 1| + 𝐶
𝑑𝑦
Q16. If integrating factor of the differential equation 𝑑𝑥 + 𝑃(𝑥)𝑦 = 𝑄(𝑥) is sin 𝑥 then find the value of
𝑃(𝑥) = ?
(a) cos 𝑥
(b) log(cos 𝑥)
(c) log(tan 𝑥)
(d) cot 𝑥
2
𝑑3 𝑦 𝑑2 𝑦
Q17. Find the order and degree of the differential equation: (𝑑𝑥 3 ) = √𝑑𝑥 2 + 1
(a) 3 , 4
(b) 2 ,1
(c) 3 , 2
(d) 1 , 1
Q18. Formation of differential equation of 𝑦 = 𝑒 −2𝑥 (acos 𝑥 + 𝑏 sin 𝑥) ,where a and b are arbitrary
constant, is:
𝑑2 𝑦
(a) + 𝑦2 = 0
𝑑𝑥 2
P a g e |4
CUET 2023 EXAMS
(MATHEMATICS MBQs)
Exam Date: 21 May, 22 May, 23 May, 24 May, 25 May
DURATION : 60 Minutes
General Instructions
Please read the following instructions very carefully
1. You have 60 Minutes to complete the test.
2. The test contains a total of 50 Questions. You have to attempt any 40.
3. You will be awarded 5 marks for each correct answer. Click on the most appropriate option to mark your answer.
4. There is a penalty of 1 mark for each wrong answer.
5. You can change your answer by clicking on some other option.
6. You can unmark your answer by clicking on the "Clear Response" button.
7. A Number list of all questions appears on the right-hand side of the screen. You can access the questions in any order with in a
section or across sections by clicking on the question number given on the number list.
8. You can use rough sheets while taking the test. Do not use calculators, log tables, dictionaries, or any other printed/on line reference
material during the test.
9. Do not click the button "Submit Test" before completing the test. A test once submitted cannot be resumed.
Choose Your Default Language: ENGLISH
To Attempt these questions as Mock Test Click on the link https://dl.adda247.com/cAqi For More Study Material
1
Visit: adda247.com
,CUET 2023 MBQs (Mathematics)
To Attempt these Questions as Mock Test Click on the Links
CUET MBT-Mathematics (Exam Date-21 May 2023) https://dl.adda247.com/6oF1
CUET MBT-Mathematics (Exam Date-22 May 2023) https://dl.adda247.com/7fDA
CUET MBT-Mathematics (Exam Date-23 May 2023) https://dl.adda247.com/Q3R2
CUET MBT-Mathematics (Exam Date-24 May 2023) https://dl.adda247.com/Kg4x
CUET MBT-Mathematics (Exam Date-25 May 2023) https://dl.adda247.com/TCkn
Exam Date 21st May 2023
Q1. A relation R is defined on a set A = [ 1 ,2 ,3 } by R = { (1 ,2) , (2 ,1) , (1 ,1) ,(2 ,2) } .Then which of the
following is correct ?
(a) R is reflexive and symmetric
(b) R is symmetric and transitive
(c) R is reflexive and transitive
(d) R is an equivalence relation
𝑥+1
Q2. Find the inverse function of 𝑓(𝑥) = 𝑥−1
𝑥+1
(a) 𝑓 −1 (𝑥) =
𝑥−1
(b) 𝑓 −1 (𝑥) = 𝑥
𝑥−1
(c) 𝑓 −1 (𝑥) =
𝑥+1
−1 (𝑥) 2𝑥
(d) 𝑓 = 𝑥+1
Q3. If 2 tan−1 𝑥 + cot −1 𝑥 = 𝜋 ; find the value of x = ?
(a) 1
(b) ∞
(c) -1
(d) 2
Q4. If A is a square matrix of order 3 × 3 and |A|= 2 then value of |kA| = ?
(a) 2𝑘
(b) 2𝑘 2
(c) 2𝑘 3
(d) 𝑘 3
Q5. Given, 2𝑥 − 𝑦 + 2𝑧 = 2 , 𝑥 − 2𝑦 + 𝑧 = −4 , 𝑥 + 𝑦 + 𝜆𝑧 = 4 , then the value of λ such that the
given system of equations has no solution, is
(a) 3
(b) 1
(c) 0
(d) –3
P a g e |2
,CUET 2023 MBQs (Mathematics)
1 2 3
Q6. Direction: Let 𝐴 = [−1 −2 1] be a matrix of order 3 × 3
1 0 5
LIST I LIST II
P. Co- factors of 𝑎11 I. 8
Q. Co – factors of 𝑎31 II. 2
R. Co- factors of 𝑎22 III. -10
S. Co- factors of 𝑎12 IV. 6
(a) 𝑃 → 𝐼 , 𝑄 → 𝐼𝐼 , 𝑅 → 𝐼𝐼𝐼 , 𝑆 → 𝐼𝑉
(b) 𝑃 → 𝐼𝐼𝐼 , 𝑄 → 𝐼 , 𝑅 → 𝐼𝐼 , 𝑆 → 𝐼𝑉
(c) 𝑃 → 𝐼𝑉 , 𝑄 → 𝐼𝐼 , 𝑅 → 𝐼𝐼𝐼 , 𝑆 → 𝐼
(d) 𝑃 → 𝐼 , 𝑄 → 𝐼𝐼𝐼 , 𝑅 → 𝐼𝐼 , 𝑆 → 𝐼𝑉
𝑥 − 2 ,𝑥 ≥ 5
Q7. Let 𝑓(𝑥) = { be a continuous function at x = 5 then find the value of k = ?
𝑘 ,𝑥 < 5
(a) 0
(b) 1
(c) 2
(d) 3
𝑑2 𝑦 𝜋
Q8. If 𝑥 = 𝑎 cos 𝜃 , 𝑦 = 𝑏 sin 𝜃 then find the value of 𝑑𝑥 2 at 𝜃 = 2
𝑏
(a) − 𝑎
𝑏
(b) − 𝑎2
𝑏
(c) 𝑎
𝑏
(d) 𝑎3
𝑑2 𝑦
Q9. If 𝑥 = 2 sin 𝜃 and 𝑦 = 2 cos 𝜃 then find the value of 2 at 𝜃 = 0°
𝑑𝑥
(a) 1
(b) 1/2
(c) 0
(d) -1/2
Q10. Find the maximum value of 𝑓(𝑥) = 4𝑥 2 − 4𝑥 + 4 on R
(a) 3
(b) 4
(c) 10
(d) Does not exist
Q11. Find the value of “a” if the function 𝑥 3 − 6𝑥 2 + 𝑎𝑥 is increasing for all the values of x.
(a) 𝑎 > 12
(b) 𝑎 < 12
(c) 𝑎 = 12
(d) None of these
P a g e |3
, CUET 2023 MBQs (Mathematics)
Q12. Find local minima value of the function: 𝑓(𝑥) = (𝑥 − 5)4
(a) Local minima value is 𝑓(5) = 0
(b) Local minima value is 𝑓(4) = 1
(c) Local minima value is 𝑓(6) = 1
(d) Local minima value is 𝑓(7) = 16
Q13. Find the point at which the tangent to the curve 𝑦 = 𝑥 3 − 3𝑥 2 − 9𝑥 + 7 parallel to the x – axis
(a) (−1 ,12 ) and (3 , −20)
(b) (1 ,12 ) and (3 , −20)
(c) (−1 ,12 ) and (−3 , 20)
(d) (1 ,12 ) and (3 , 20)
𝜋
3 1
Q14. Evaluate: ∫ 𝜋
1+√cot 𝑥
𝑑𝑥
6
𝜋
(a) 3
𝜋
(b) 6
𝜋
(c) 12
2𝜋
(d) 3
𝑥3
Q15. Evaluate: ∫ 𝑥+1 𝑑𝑥
𝑥3 𝑥2
(a) + + 𝑥 − log|𝑥 + 1| + 𝐶
3 2
𝑥3 𝑥2
(b) 3 − 2 + 𝑥 − log|𝑥 + 1| + 𝐶
𝑥3 𝑥2
(c) 3 − 2 + 𝑥 + log|𝑥 + 1| + 𝐶
𝑥3 𝑥2
(d) 3 − 2 − 𝑥 − log|𝑥 + 1| + 𝐶
𝑑𝑦
Q16. If integrating factor of the differential equation 𝑑𝑥 + 𝑃(𝑥)𝑦 = 𝑄(𝑥) is sin 𝑥 then find the value of
𝑃(𝑥) = ?
(a) cos 𝑥
(b) log(cos 𝑥)
(c) log(tan 𝑥)
(d) cot 𝑥
2
𝑑3 𝑦 𝑑2 𝑦
Q17. Find the order and degree of the differential equation: (𝑑𝑥 3 ) = √𝑑𝑥 2 + 1
(a) 3 , 4
(b) 2 ,1
(c) 3 , 2
(d) 1 , 1
Q18. Formation of differential equation of 𝑦 = 𝑒 −2𝑥 (acos 𝑥 + 𝑏 sin 𝑥) ,where a and b are arbitrary
constant, is:
𝑑2 𝑦
(a) + 𝑦2 = 0
𝑑𝑥 2
P a g e |4
