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.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.
3, 8, 27, 124, ?
What value should come in the place of (?) in the following number series?
54, 81, 135, 216, 324, ?
18, 37, 60, ?, 120, 157
70, 69, 73, 64,80, 55, ?
97, 75, 108, 64, ?, 53
What will come in place of the question mark (?) in the following series?
15, 90, 450, ?, 5400, 10800Â
What will come in place of the question mark (?) in the following series?
?, 65, 37, 73, 29, 81
Find the missing number in the given number series.
2, 5, 11, 23, 47, ?250, 279, 311, 349, 396, ?
What will come in place of the question mark (?) in the following series?
40, 25, 30, 50, 105, ?