CUET Mathematics 2022 6 Aug Shift 2 PYQs

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MAT

Q1:

6 Aug Shift 2

Algebra

Easy

Q1:

$m \times n$

$n \times m$

$m \times m$

$n \times n$

Correct Answer

Option 1

Correct Answer

Explanation →

Q2:

6 Aug Shift 2

Algebra

Easy

Q2:

$2$

$-\frac{1}{2}$

$1$

$\frac{1}{2}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q3:

6 Aug Shift 2

Algebra

Easy

Q3:

$x = -2, y = 0$

$x = 2, y = 0$

$x = -2, y = 1$

$x = 2, y = -1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q4:

6 Aug Shift 2

Calculus

Medium

Q4:

$(-\infty, -\frac{1}{2}) \cup (\frac{1}{2}, \infty)$

$(-\frac{1}{2}, 0) \cup (\frac{1}{2}, \infty)$

$(-\frac{1}{2}, \frac{1}{2})$

$(-\infty, -\frac{1}{2}) \cup (0, \frac{1}{2})$

Correct Answer

Option 2

Correct Answer

Explanation →

Q5:

6 Aug Shift 2

Calculus

Medium

Q5:

$-\frac{2}{a}$

$-\frac{a^2}{2}$

$\frac{2}{a^2}$

$\frac{2}{a}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q6:

6 Aug Shift 2

Calculus

Easy

Q6:

$0$

$12$

$16$

$18$

Correct Answer

Option 2

Correct Answer

Explanation →

Q7:

6 Aug Shift 2

Calculus

Easy

Q7:

$e + 1$

$3e$

$e$

$3e - 2$

Correct Answer

Option 3

Correct Answer

Explanation →

Q8:

6 Aug Shift 2

Calculus

Easy

Q8:

$462$

$219$

$138$

$957$

Correct Answer

Option 1

Correct Answer

Explanation →

Q9:

6 Aug Shift 2

Calculus

Easy

Q9:

$2$

$1$

$0$

$8 \log_e(2)$

Correct Answer

Option 3

Correct Answer

Explanation →

Q10:

6 Aug Shift 2

Calculus

Medium

Q10:

$3$

$2$

$1$

$0$

Correct Answer

Option 4

Correct Answer

Explanation →

Q11:

6 Aug Shift 2

Algebra

Medium

Q11:

$\frac{3}{2}$

$-\frac{3}{4}$

$-\frac{4}{3}$

$\frac{2}{3}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q12:

6 Aug Shift 2

Calculus

Medium

Q12:

A-III, B-II, C-IV, D-I

A-II, B-I, C-IV, D-III

A-II, B-III, C-I, D-IV

A-II, B-III, C-IV, D-I

Correct Answer

Option 4

Correct Answer

Explanation →

Q13:

6 Aug Shift 2

Algebra

Medium

Q13:

$\frac{7}{32}$

$\frac{1}{32}$

$\frac{7}{64}$

$\frac{1}{8}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q14:

6 Aug Shift 2

Algebra

Easy

Q14:

It is a relation between the events of a sample space and the numbers in [0,1].

It is a function defined from the sample space of a random experiment to the set of real numbers.

It is a table containing probability values

It is a function from the set of natural numbers to the numbers in [0,1]

Correct Answer

Option 2

Correct Answer

Explanation →

Q15:

6 Aug Shift 2

Algebra

Medium

Q15:

$(4, 5)$

$(2, 6)$

$(4, 3)$

$(3, 6)$

Correct Answer

Option 2

Correct Answer

Explanation →

Q16:

6 Aug Shift 2

Algebra

Easy

Q16:

reflexive and not transitive.

symmetric and not reflexive.

transitive and not symmetric

neither reflexive nor symmetric and nor transitive

Correct Answer

Option 2

Correct Answer

Explanation →

Q17:

6 Aug Shift 2

Algebra

Medium

Q17:

A-I, B-IV, C-II, D-III

A-II, B-I, C-IV, D-III

A-II, B-IV, C-I, D-III

A-I, B-III, C-IV, D-II

Correct Answer

Option 3

Correct Answer

Explanation →

Q18:

6 Aug Shift 2

Algebra

Medium

Q18:

$7^2$

$7^4$

$1$

$\frac{1}{7^2}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q19:

6 Aug Shift 2

Algebra

Hard

Q19:

$\{1, 2\}$

$\{-1, 2\}$

$\{-1, -2\}$

$\{1, -2\}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q20:

6 Aug Shift 2

Algebra

Hard

Q20:

$1$

$-1$

$3$

$-3$

Correct Answer

Option 4

Correct Answer

Explanation →

Q21:

6 Aug Shift 2

Calculus

Hard

Q21:

$3$

$6$

$9$

$12$

Correct Answer

Option 3

Correct Answer

Explanation →

Q22:

6 Aug Shift 2

Algebra

Medium

Q22:

$-2$

$-1$

$38$

$13$

Correct Answer

Option 3

Correct Answer

Explanation →

Q23:

6 Aug Shift 2

Geometry

Medium

Q23:

$\frac{\pi}{6}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

$\frac{5\pi}{12}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q24:

6 Aug Shift 2

Geometry

Easy

Q24:

$\frac{\pi}{3}$

$\frac{2\pi}{3}$

$\frac{5\pi}{6}$

$\frac{3\pi}{4}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q25:

6 Aug Shift 2

Calculus

Easy

Q25:

$3$

$5$

$1$

$4$

Correct Answer

Option 4

Correct Answer

Explanation →

Q26:

6 Aug Shift 2

Calculus

Medium

Q26:

continuous and differentiable

continuous but not differentiable

$\lim_{x \to 1^-} f'(x) = 10$

$f''(1) = 10$

Correct Answer

Option 2

Correct Answer

Explanation →

Q27:

6 Aug Shift 2

Calculus

Hard

Q27:

A, B, D Only

C, D, E Only

A, D, E Only

B, C, D Only

Correct Answer

Option 2

Correct Answer

Explanation →

Q28:

6 Aug Shift 2

Calculus

Easy

Q28:

$9$

$\frac{1}{9}$

$-\frac{1}{9}$

$-9$

Correct Answer

Option 3

Correct Answer

Explanation →

Q29:

6 Aug Shift 2

Calculus

Medium

Q29:

$4k^2 - 5 = 0$

$8k^2 - 5 = 0$

$8k^2 - 17 = 0$

$5k^2 - 8 = 0$

Correct Answer

Option 2

Correct Answer

Explanation →

Q30:

6 Aug Shift 2

Calculus

Hard

Q30:

$\frac{37}{20}$

$\frac{1}{5}$

$\frac{11}{5}$

$1$

Correct Answer

Option 1

Correct Answer

Explanation →

Q31:

6 Aug Shift 2

Geometry

Hard

Q31:

$5$

$-5$

$9$

$-3$

Correct Answer

Option 2

Correct Answer

Explanation →

Q32:

6 Aug Shift 2

Geometry

Medium

Q32:

$(1, 1, 1)$

$(1, -1, 1)$

$(1, 1, -1)$

$(-1, 1, 1)$

Correct Answer

Option 3

Correct Answer

Explanation →

Q33:

6 Aug Shift 2

Geometry

Medium

Q33:

$3x - y - 2z = 7$

$3x - y + 2z = 7$

$x + y - 2z = 5$

$x - y + 2z = 1$

Correct Answer

Option 1

Correct Answer

Explanation →

Q34:

6 Aug Shift 2

Geometry

Easy

Q34:

$-9$

$-1$

$1$

$9$

Correct Answer

Option 2

Correct Answer

Explanation →

Q35:

6 Aug Shift 2

Algebra

Easy

Q35:

$0$

$3$

$-1$

$-3$

Correct Answer

Option 4

Correct Answer

Explanation →

Q36:

6 Aug Shift 2

Algebra

Medium

Q36:

$\sqrt{10}$

$\sqrt{6}$

$\sqrt{5}$

$\sqrt{\frac{5}{2}}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q37:

6 Aug Shift 2

Algebra

Medium

Q37:

A, B, C, D Only

A, B, E Only

C, D, E Only

B, C, D Only

Correct Answer

Option 4

Correct Answer

Explanation →

Q38:

6 Aug Shift 2

Algebra

Medium

Q38:

$26$

$32$

$36$

$38$

Correct Answer

Option 3

Correct Answer

Explanation →

Q39:

6 Aug Shift 2

Algebra

Medium

Q39:

$\frac{1}{2}$

$\frac{2}{3}$

$0$

$1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q40:

6 Aug Shift 2

Algebra

Easy

Q40:

$0.24$

$0.30$

$0.25$

$0.28$

Correct Answer

Option 2

Correct Answer

Explanation →

Q41:

6 Aug Shift 2

Calculus

Hard

Q41:

$\frac{1}{2}$

$\frac{1}{7}$

$\frac{2}{3}$

$\frac{1}{3}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q42:

6 Aug Shift 2

Calculus

Hard

Q42:

$(0, \frac{1}{6})$

$(\frac{1}{6}, \frac{2}{3})$

$(0, \frac{1}{2})$

$(\frac{1}{2}, \frac{2}{3})$

Correct Answer

Option 3

Correct Answer

Explanation →

Q43:

6 Aug Shift 2

Calculus

Medium

Q43:

$\frac{2}{3}$

$1$

$\frac{1}{2}$

$\frac{1}{6}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q44:

6 Aug Shift 2

Calculus

Hard

Q44:

$\frac{1}{18} + \frac{2\sqrt{3}\pi}{27}$

$\frac{1}{18} + \sqrt{3}\frac{\pi}{36}$

$\frac{1}{18} + \frac{\sqrt{6}\pi}{9}$

$\frac{1}{18} + \frac{\pi}{36}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q45:

6 Aug Shift 2

Calculus

Medium

Q45:

$2$

$0$

$3$

$1$

Correct Answer

Option 1

Correct Answer

Explanation →

Q46:

6 Aug Shift 2

Algebra

Easy

Q46:

$0.1$

$0.2$

$0.25$

$0.125$

Correct Answer

Option 1

Correct Answer

Explanation →

Q47:

6 Aug Shift 2

Algebra

Easy

Q47:

$0.4$

$0.3$

$0.2$

$0.1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q48:

6 Aug Shift 2

Algebra

Easy

Q48:

$0.5$

$0.2$

$0.8$

$0.7$

Correct Answer

Option 1

Correct Answer

Explanation →

Q49:

6 Aug Shift 2

Algebra

Easy

Q49:

$0.4$

$0.5$

$0.7$

$0.2$

Correct Answer

Option 4

Correct Answer

Explanation →

Q50:

6 Aug Shift 2

Algebra

Easy

Q50:

$0.2$

$0.7$

$0.8$

$0.6$

Correct Answer

Option 3

Correct Answer

Explanation →

CUET Mathematics 2022 6 Aug Shift 2 - Past Year Questions

Practice with our comprehensive collection of CUET Mathematics 2022 6 Aug Shift 2 Past Year Questions (PYQs) with detailed solutions. No login required. We have created handwritten solutions for all CUET Mathematics questions for free!

CUET Mathematics 2022 6 Aug Shift 2 PYQs

Filter & Analyse PYQs (Topic-Wise) →

No login required. No pop-ups. We have all previous-year questions with solutions for free!

MAT

Q1:

6 Aug Shift 2

Algebra

Easy

Q1:

$m \times n$

$n \times m$

$m \times m$

$n \times n$

Correct Answer

Option 1

Correct Answer

Explanation →

Q2:

6 Aug Shift 2

Algebra

Easy

Q2:

$2$

$-\frac{1}{2}$

$1$

$\frac{1}{2}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q3:

6 Aug Shift 2

Algebra

Easy

Q3:

$x = -2, y = 0$

$x = 2, y = 0$

$x = -2, y = 1$

$x = 2, y = -1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q4:

6 Aug Shift 2

Calculus

Medium

Q4:

$(-\infty, -\frac{1}{2}) \cup (\frac{1}{2}, \infty)$

$(-\frac{1}{2}, 0) \cup (\frac{1}{2}, \infty)$

$(-\frac{1}{2}, \frac{1}{2})$

$(-\infty, -\frac{1}{2}) \cup (0, \frac{1}{2})$

Correct Answer

Option 2

Correct Answer

Explanation →

Q5:

6 Aug Shift 2

Calculus

Medium

Q5:

$-\frac{2}{a}$

$-\frac{a^2}{2}$

$\frac{2}{a^2}$

$\frac{2}{a}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q6:

6 Aug Shift 2

Calculus

Easy

Q6:

$0$

$12$

$16$

$18$

Correct Answer

Option 2

Correct Answer

Explanation →

Q7:

6 Aug Shift 2

Calculus

Easy

Q7:

$e + 1$

$3e$

$e$

$3e - 2$

Correct Answer

Option 3

Correct Answer

Explanation →

Q8:

6 Aug Shift 2

Calculus

Easy

Q8:

$462$

$219$

$138$

$957$

Correct Answer

Option 1

Correct Answer

Explanation →

Q9:

6 Aug Shift 2

Calculus

Easy

Q9:

$2$

$1$

$0$

$8 \log_e(2)$

Correct Answer

Option 3

Correct Answer

Explanation →

Q10:

6 Aug Shift 2

Calculus

Medium

Q10:

$3$

$2$

$1$

$0$

Correct Answer

Option 4

Correct Answer

Explanation →

Q11:

6 Aug Shift 2

Algebra

Medium

Q11:

$\frac{3}{2}$

$-\frac{3}{4}$

$-\frac{4}{3}$

$\frac{2}{3}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q12:

6 Aug Shift 2

Calculus

Medium

Q12:

A-III, B-II, C-IV, D-I

A-II, B-I, C-IV, D-III

A-II, B-III, C-I, D-IV

A-II, B-III, C-IV, D-I

Correct Answer

Option 4

Correct Answer

Explanation →

Q13:

6 Aug Shift 2

Algebra

Medium

Q13:

$\frac{7}{32}$

$\frac{1}{32}$

$\frac{7}{64}$

$\frac{1}{8}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q14:

6 Aug Shift 2

Algebra

Easy

Q14:

It is a relation between the events of a sample space and the numbers in [0,1].

It is a function defined from the sample space of a random experiment to the set of real numbers.

It is a table containing probability values

It is a function from the set of natural numbers to the numbers in [0,1]

Correct Answer

Option 2

Correct Answer

Explanation →

Q15:

6 Aug Shift 2

Algebra

Medium

Q15:

$(4, 5)$

$(2, 6)$

$(4, 3)$

$(3, 6)$

Correct Answer

Option 2

Correct Answer

Explanation →

Q16:

6 Aug Shift 2

Algebra

Easy

Q16:

reflexive and not transitive.

symmetric and not reflexive.

transitive and not symmetric

neither reflexive nor symmetric and nor transitive

Correct Answer

Option 2

Correct Answer

Explanation →

Q17:

6 Aug Shift 2

Algebra

Medium

Q17:

A-I, B-IV, C-II, D-III

A-II, B-I, C-IV, D-III

A-II, B-IV, C-I, D-III

A-I, B-III, C-IV, D-II

Correct Answer

Option 3

Correct Answer

Explanation →

Q18:

6 Aug Shift 2

Algebra

Medium

Q18:

$7^2$

$7^4$

$1$

$\frac{1}{7^2}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q19:

6 Aug Shift 2

Algebra

Hard

Q19:

$\{1, 2\}$

$\{-1, 2\}$

$\{-1, -2\}$

$\{1, -2\}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q20:

6 Aug Shift 2

Algebra

Hard

Q20:

$1$

$-1$

$3$

$-3$

Correct Answer

Option 4

Correct Answer

Explanation →

Q21:

6 Aug Shift 2

Calculus

Hard

Q21:

$3$

$6$

$9$

$12$

Correct Answer

Option 3

Correct Answer

Explanation →

Q22:

6 Aug Shift 2

Algebra

Medium

Q22:

$-2$

$-1$

$38$

$13$

Correct Answer

Option 3

Correct Answer

Explanation →

Q23:

6 Aug Shift 2

Geometry

Medium

Q23:

$\frac{\pi}{6}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

$\frac{5\pi}{12}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q24:

6 Aug Shift 2

Geometry

Easy

Q24:

$\frac{\pi}{3}$

$\frac{2\pi}{3}$

$\frac{5\pi}{6}$

$\frac{3\pi}{4}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q25:

6 Aug Shift 2

Calculus

Easy

Q25:

$3$

$5$

$1$

$4$

Correct Answer

Option 4

Correct Answer

Explanation →

Q26:

6 Aug Shift 2

Calculus

Medium

Q26:

continuous and differentiable

continuous but not differentiable

$\lim_{x \to 1^-} f'(x) = 10$

$f''(1) = 10$

Correct Answer

Option 2

Correct Answer

Explanation →

Q27:

6 Aug Shift 2

Calculus

Hard

Q27:

A, B, D Only

C, D, E Only

A, D, E Only

B, C, D Only

Correct Answer

Option 2

Correct Answer

Explanation →

Q28:

6 Aug Shift 2

Calculus

Easy

Q28:

$9$

$\frac{1}{9}$

$-\frac{1}{9}$

$-9$

Correct Answer

Option 3

Correct Answer

Explanation →

Q29:

6 Aug Shift 2

Calculus

Medium

Q29:

$4k^2 - 5 = 0$

$8k^2 - 5 = 0$

$8k^2 - 17 = 0$

$5k^2 - 8 = 0$

Correct Answer

Option 2

Correct Answer

Explanation →

Q30:

6 Aug Shift 2

Calculus

Hard

Q30:

$\frac{37}{20}$

$\frac{1}{5}$

$\frac{11}{5}$

$1$

Correct Answer

Option 1

Correct Answer

Explanation →

Q31:

6 Aug Shift 2

Geometry

Hard

Q31:

$5$

$-5$

$9$

$-3$

Correct Answer

Option 2

Correct Answer

Explanation →

Q32:

6 Aug Shift 2

Geometry

Medium

Q32:

$(1, 1, 1)$

$(1, -1, 1)$

$(1, 1, -1)$

$(-1, 1, 1)$

Correct Answer

Option 3

Correct Answer

Explanation →

Q33:

6 Aug Shift 2

Geometry

Medium

Q33:

$3x - y - 2z = 7$

$3x - y + 2z = 7$

$x + y - 2z = 5$

$x - y + 2z = 1$

Correct Answer

Option 1

Correct Answer

Explanation →

Q34:

6 Aug Shift 2

Geometry

Easy

Q34:

$-9$

$-1$

$1$

$9$

Correct Answer

Option 2

Correct Answer

Explanation →

Q35:

6 Aug Shift 2

Algebra

Easy

Q35:

$0$

$3$

$-1$

$-3$

Correct Answer

Option 4

Correct Answer

Explanation →

Q36:

6 Aug Shift 2

Algebra

Medium

Q36:

$\sqrt{10}$

$\sqrt{6}$

$\sqrt{5}$

$\sqrt{\frac{5}{2}}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q37:

6 Aug Shift 2

Algebra

Medium

Q37:

A, B, C, D Only

A, B, E Only

C, D, E Only

B, C, D Only

Correct Answer

Option 4

Correct Answer

Explanation →

Q38:

6 Aug Shift 2

Algebra

Medium

Q38:

$26$

$32$

$36$

$38$

Correct Answer

Option 3

Correct Answer

Explanation →

Q39:

6 Aug Shift 2

Algebra

Medium

Q39:

$\frac{1}{2}$

$\frac{2}{3}$

$0$

$1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q40:

6 Aug Shift 2

Algebra

Easy

Q40:

$0.24$

$0.30$

$0.25$

$0.28$

Correct Answer

Option 2

Correct Answer

Explanation →

Q41:

6 Aug Shift 2

Calculus

Hard

Q41:

$\frac{1}{2}$

$\frac{1}{7}$

$\frac{2}{3}$

$\frac{1}{3}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q42:

6 Aug Shift 2

Calculus

Hard

Q42:

$(0, \frac{1}{6})$

$(\frac{1}{6}, \frac{2}{3})$

$(0, \frac{1}{2})$

$(\frac{1}{2}, \frac{2}{3})$

Correct Answer

Option 3

Correct Answer

Explanation →

Q43:

6 Aug Shift 2

Calculus

Medium

Q43:

$\frac{2}{3}$

$1$

$\frac{1}{2}$

$\frac{1}{6}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q44:

6 Aug Shift 2

Calculus

Hard

Q44:

$\frac{1}{18} + \frac{2\sqrt{3}\pi}{27}$

$\frac{1}{18} + \sqrt{3}\frac{\pi}{36}$

$\frac{1}{18} + \frac{\sqrt{6}\pi}{9}$

$\frac{1}{18} + \frac{\pi}{36}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q45:

6 Aug Shift 2

Calculus

Medium

Q45:

$2$

$0$

$3$

$1$

Correct Answer

Option 1

Correct Answer

Explanation →

Q46:

6 Aug Shift 2

Algebra

Easy

Q46:

$0.1$

$0.2$

$0.25$

$0.125$

Correct Answer

Option 1

Correct Answer

Explanation →

Q47:

6 Aug Shift 2

Algebra

Easy

Q47:

$0.4$

$0.3$

$0.2$

$0.1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q48:

6 Aug Shift 2

Algebra

Easy

Q48:

$0.5$

$0.2$

$0.8$

$0.7$

Correct Answer

Option 1

Correct Answer

Explanation →

Q49:

6 Aug Shift 2

Algebra

Easy

Q49:

$0.4$

$0.5$

$0.7$

$0.2$

Correct Answer

Option 4

Correct Answer

Explanation →

Q50:

6 Aug Shift 2

Algebra

Easy

Q50:

$0.2$

$0.7$

$0.8$

$0.6$

Correct Answer

Option 3

Correct Answer

Explanation →