Question
Select the option that is related to the third number
in the same way as the first number is related to the second number and the fifth number is related to the sixth number. 12 : 156 :: 15 : ? :: 18 : 342Solution
The logic followed here is: The second number is obtained by adding the first number to its square. In 12 : 156 → 12 + 12² = 12 + 144 = 156 18 : 342 → 18 + 18² = 18 + 324 = 342 15 : ? →18 + 15² = 15 + 225 = 240
I. 2p2 + 25p – 13 = 0
II. 2q2 – 19q = 2q + 23
I). p2 = 81
II). q2 - 9q + 14 = 0
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
I. 2x2 – 5x - 12 = 0
II. y2 – 11y + 30 = 0
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I. 2x² - 12x + 16 = 0  Â
II. 4y² - 8y - 12 = 0  Â
I. y/16 = 4/yÂ
II. x3 = (2 ÷ 50) × (2500 ÷ 50) × 42 × (192 ÷ 12)
I. 2x2 - 9 x + 9 = 0
II. 2y2 - 7 y + 3 = 0
I. 9x2 + 45x + 26 = 0
II. 7y2 – 59y − 36 = 0
I. p2 – 15p + 56 = 0
II. q2 + 2q – 63 = 0