Question
Find the wrong number in the given number series.
3, 5, 9, 13, 21, 26, 45Solution
Look at the series in terms of odd and even positions. Odd positions (1, 3, 5, 7): 3, 9, 21, 45 Pattern: multiply by 2, then add 3 3 × 2 + 3 = 9 9 × 2 + 3 = 21 21 × 2 + 3 = 45 Even positions (2, 4, 6): 5, 13, 26 Here, the intended pattern is: multiply by 2, then add 2 5 × 2 + 2 = 12 (but we have 13 in the series) 12 × 2 + 2 = 26 So the correct series should be: 3, 5, 9, 12, 21, 26, 45 Hence, 13 is the wrong term.
Equation 1: x² - 180x + 8100 = 0
Equation 2: y² - 170y + 7225 = 0
l). p² - 26p + 153 = 0
ll). q² - 17q + 72 = 0
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
Equation 1: x² + 16x + 63 = 0
Equation 2: y² + 10y + 21 = 0
I. (4x-5)3Â +Â 1/(4x-5)3Â = 2
II. 2[(y+1/y)2- 2]- 9(y+1/y)= -14
I. 5x² = 19x – 12
II. 5y² + 11y = 12
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
(i) 2x² – x – 3 = 0
(ii) 2y² – 6y + 4 = 0
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
