Total Questions: 33
(14 - 3)² : 14 = (13)² : 14 = 169 : 14 (18 - 3)² : 18 = (15)² : 18 = 225 : 18 (17 - 3)² : 17 = (14)² : 17 = 196 : 17 (19 - 3)² : 19 = (16)² : 19 = 256 : 19
Clearly, we can see that 169 : 14 is an odd one.
In 16 : 1024, 16 : (16 × 2)² = 16 : 32² = 16 : 1024 In 14 : 784, 14 : (14 × 2)² = 14 : 28² = 14 : 784 In 18 : 1620, 18 : (18 × 2)² = 18 : 36² = 18 : 1620 In 12 : 576, 12 : (12 × 2)² = 12 : 24² = 12 : 576
we can see that (18 : 1620) is an odd one.
(a) 3 : 7 = (2² - 1) : (2³ - 1) (b) 15 : 63 = (4² - 1) : (4³ - 1) (c) 8 : 26 = (3² - 1) : (3³ - 1) (d) 23 : 123 = (5² - 2) : (5³ - 2)
Option (d) doesn’t follow this pattern.
In 25 : 3, (3 + 2)² : 3 = (5)² : 3 = 25 : 3 In 64 : 6, (6 + 2)² : 6 = (8)² : 6 = 64 : 6 In 100 : 9, (9 + 2)² : 9 = (11)² : 9 = 121 : 9 ≠ 100 : 9 In 81 : 7, (7 + 2)² : 7 = (9)² : 7 = 81 : 7
we can see that 100 : 9 is an odd one.
By checking option, we get in option (a), 47 : 47 × 45 → 47 : 2115 ≠ 2116 Except (47 : 2116), all other options are following the same pattern.
In 52 : 182, 52 : 52 × 7/2 → 52 : 182
In 26 : 91, 26 : 26 × 7/2 → 26 : 91
In 34 : 118,
34 : 34 × 7/2 = 34 : 119 ≠ 34 : 118
we can see that (34 : 118) is an odd one.
In 537 : 15, 537 → 5 + 3 + 7 → 15
In 917 : 17, 917 → 9 + 1 + 7 → 17
In 459 : 19, 459 → 4 + 5 + 9 = 18 ≠ 19
In 673 : 16, 673 → 6 + 7 + 3 = 16
Clearly, we can see that 459 : 19 is an odd one.
In 729 : 81, 81 × 9 : 81 = 729 : 81
In 369 : 41, 41 × 9 : 41 = 369 : 41
343 : 47, 47 × 9 : 47 = 423 : 47 ≠ 343 : 47
Clearly, we can see that 343 : 47 is an odd one.
In 4 : 5, √4 + 3 = 2 + 3 = 5
In 9 : 6, √9 + 3 = 3 + 3 = 6
In 36 : 9, √36 + 3 = 6 + 3 = 9
So, we can clearly see that (16 : 8) is an odd one.
In 53 : 2916, 53 : (53 + 1)² = 53 : 54² = 53 : 2916
In 41 : 1765, 41 : (41 + 1)² = 41 : 42² = 41 : 1764 ≠ 41 : 1765
In 23 : 576, 23 : (23 + 1)² = 23 : 24² = 23 : 576
In 19 : 400, 19 : (19 + 1)² = 19 : 20² = 19 : 400
we can see that (41 : 1765) is an odd one.