Question
Find the missing number in the given number series.
98, 89, 114, 50, 194, ?Solution
ATQ, 98 → 89 : 98 − 3² = 98 − 9 = 89 89 → 114 : 89 + 5² = 89 + 25 = 114 114 → 50 : 114 − 8² = 114 − 64 = 50 50 → 194 : 50 + 12² = 50 + 144 = 194 Squares used: 3², 5², 8², 12² Bases: 3, 5, 8, 12 (increase by +2, +3, +4) Next increase = +5 ⇒ next base = 17 So next term = 194 − 17² = 194 − 289 = -95
I. 6y2 – 23y + 20 = 0
II. 4x2 – 24 x + 35 = 0
The quadratic equation (p + 1)x 2 - 8(p + 1)x + 8(p + 16) = 0 (where p ≠-1) has equal roots. find the value of p.
I. 56x² - 99x + 40 = 0
II. 8y² - 30y + 25 = 0
I. 2x² - 7x + 3 = 0
II. 8y² - 14y + 5 = 0
I. x2Â - 9x - 52 = 0
II. y2Â - 16y + 63 = 0
I. y² + y – 56 = 0
II. 2x² + 11 x – 40 = 0
I. 2p2 + 25p – 13 = 0
II. 2q2 – 19q = 2q + 23
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
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