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Day 402: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Differential Equations. Asked once: 13 May 2024 S2 (same type asked 7 times) See all 7 of this type

    114
    If x dy=y(dx+y dy), y(1)=1, y(x)>0x\,dy=y(dx+y\,dy),\ y(1)=1,\ y(x)>0, then y(−3)y(-3) is:

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  2. Question 2

    Mathematical Logic. Asked once: 18 Apr 2026 S1 (same type asked 19 times) See all 19 of this type

    60
    The correct logical equivalence from the following is /are ___ (I) p→(q→r)≡(p∧q)→rp \to (q \to r) \equiv (p \wedge q) \to r (II) (p→q)→r≡p→(q∨r)(p \to q) \to r \equiv p \to (q \vee r) (III) (p→q)→r≡(p→r)∧(∼q→r)(p \to q) \to r \equiv (p \to r) \wedge (\sim q \to r) (IV) p→(q→r)≡q→(p→r)p \to (q \to r) \equiv q \to (p \to r)

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  3. Question 3

    Differential Equations. Asked once: 4 May 2023 S2 (same type asked 15 times) See all 15 of this type

    131
    The particular solution of differential equation (1+y2)(1+log⁡x)dx+x dy=0(1+y^2)(1+\log x)dx+x\,dy=0 at x=1,y=1x=1, y=1 is

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  4. Question 4

    Binomial Distribution. Asked once: 12 May 2024 S1 (same type asked 14 times) See all 14 of this type

    113
    An experiment succeeds twice as often as it fails. Then the probability, that in the next 6 trials there will be at least 4 successes, is

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  5. Question 5

    Trigonometric Functions. Asked once: 14 May 2024 S2 (same type asked 14 times) See all 14 of this type

    102
    The value of tan⁡−118+tan⁡−112+tan⁡−115\tan^{-1}\frac{1}{8} + \tan^{-1}\frac{1}{2} + \tan^{-1}\frac{1}{5} is

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