Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
78 – 57
Option 1: 35 – 14
Option 2: 67 – 42
Option 3: 45 – 21
Option 4: 24 – 19
Correct Answer: 45 – 21
Solution :
Given:
78 – 57
Multiply the digits of the first number then add 1 to obtain the second number in the given set of numbers –
⇒ (78 – 57) → (7 × 8) + 1 = 56 + 1 = 57
Let's check the options –
First option:
(35 – 14) → (3 × 5) + 1 = 15 + 1 = 16 ≠ 14
Second option:
(67 – 42) → (6 × 7) + 1 = 42 + 1 = 43 ≠ 42
Third option:
(45 – 21) → (4 × 5) + 1 = 20 + 1 = 21
Fourth option:
(24 – 19) → (2 × 4) + 1 = 8 + 1 = 9 ≠ 19
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
