PYQ Vault

Day 418: MHT-CET Maths

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

  1. Question 1

    Linear Programming. Asked once: 11 Apr 2026 S2

    96
    The corner points of the feasible region determined by a system of linear constraints are (0,3),(1,1)(0, 3), (1, 1) and (3,0)(3, 0). If the objective function is z=px+qyz = px + qy, where p,q>0p, q > 0, then the condition on p and q such that the minimum of z occurs at both (3,0)(3, 0) and (1,1)(1, 1) is _____

    Tap an option to check your answer.

  2. Question 2

    Mathematical Logic. Asked once: 14 May 2026 S2

    65
    Let p, q, r be three logical statements. Consider the compound statements S1:[(p→q)∧∼q]→rS_1 : [(p \rightarrow q) \wedge \sim q] \rightarrow r and S2:(p∨q)∨rS_2 : (p \vee q) \vee r Then which of the following is not true?

    Tap an option to check your answer.

  3. Question 3

    Measures of Dispersion. Asked once: 12 May 2024 S1

    118
    If the variance of the numbers −1,0,1,k-1,0,1,k is 5, where k>0k>0, then kk is equal to

    Tap an option to check your answer.

  4. Question 4

    Pair of Straight Lines. Asked once: 13 May 2026 S2

    62
    If two lines represented by the equation x2+bcy2=(b+c)xyx^2 + bcy^2 = (b + c)xy are coincident, then ____

    Tap an option to check your answer.

  5. Question 5

    Permutations and Combinations. Asked once: 15 May 2026 S2

    57
    If all permutations of the letters of the word THREE are arranged as in dictionary, then 47th47^{th} word is...

    Tap an option to check your answer.