CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
[.] denotes the greatest integer function.
| List-I | List-II |
| (A) \(\int_0^3[x] d x\) | (I) \(\frac{1}{2}\) |
| (B) \(\int_0^1[2 x] d x\) | (II) 1 |
| (C) \(\int_0^1[3 x] d x\) | (III) \(\frac{3}{2}\) |
| (D) \(\int_0^1[4 x] d x\) | (IV) 3 |
- A (А) - (ІІ), (В) - (III), (C) - (IV), (D) - (I)
- B (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
- C (А) - (III), (B) - (IV), (C) - (I), (D) - (II)
- D (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
Answer & Solution
Correct Answer
(B) (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
Step-by-step Solution
Detailed explanation
(A) \(\int_0^3[x] d x = \int_0^1 0 \,dx + \int_1^2 1 \,dx + \int_2^3 2 \,dx\) \(= 0(1-0) + 1(2-1) + 2(3-2)\) \(= 0 + 1 + 2 = 3\) (A) \(\to\) (IV) (B) Let \(u=2x \implies dx=\frac{1}{2}du\).…
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