Select the option in which the numbers are related in the same way as are the numbers in the given set. (4, 104, 6)
| Question | Select the option in which the numbers are related in the same way as are the numbers in the given set. (4, 104, 6) | |
| Type | multiple_choice | |
| Option | (5, 292, 11) | correct |
| Option | (2, 105, 10) | incorrect |
| Option | (3, 270, 9) | incorrect |
| Option | (10, 300, 7) | incorrect |
| Solution | (Square of first number + square of third number)× 2 = Middle Number (4, 104, 6) → (42 + 62) × 2= (16 + 36) × 2 = 52 × 2= 104 a) (5, 146, 11) → (52 + 112) × 2 = (25 + 121) × 2 =146 × 2 = 292 b) (2, 105, 10) → (22 + 102) × 2 = (4 + 100) × 2 =104 × 2 = 208 ≠ 105 c) (3, 270, 9) → (32 + 92) × 2 = (9 + 81) × 2 = 90 ×2 = 180 ≠ 270 d) (10, 300, 7) → (102 + 72) × 2 = (100 + 49) × 2 =149 × 2 = 298 ≠ 300 Hence, “(5, 292, 11)” is the correct answer. | |