📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    âš¡ Month End Offer - Flat 52% Off On All Courses! Enroll Now âš¡
    00:00:00 AM Left

    Question

    Given below are two statements Statement I : The

    given set of numbers (5,6,7,p,6,7,8,q) has an arithmetic mean of 6, and its mode (the number occurring most frequently) is 7. Additionally, it is known that p × q = 14. Statement II : Let p and q be two positive integers such that p + p × q = 94. Then p + q = 20. In light of the above statements, choose the correct answer from the options given below.
    A Both statement I and II are true Correct Answer Incorrect Answer
    B Both statement I and II are false Correct Answer Incorrect Answer
    C Statement I is true but Statement II is false Correct Answer Incorrect Answer
    D State I is false but Statement II is true Correct Answer Incorrect Answer

    Solution

    Mean- The mean is the average or the most common value in a collection of numbers. In Statement I, For p × q = 14; the possible pairs are (4, 4); (8, 2); (16, 1); but by no pair can we ensure a mean of 6 In Statement II, The first equation can be simplified as q(p + 1) = 94 and the other one can be written as p + q = 20 But these 2 equations are not consistent. There can be no pair of p and q that satisfies the equations. ∴ This statement is also wrong.

    Practice Next
    More No. System Questions
    ask-question