In the following question, select the related number from the given alternatives.
47:15::?:19
- A57
- B36
- C40
- D59
Solution & Step-by-step Explanation
Let's find the logic connecting the first pair (47:15):
Multiply the digits of the first number and add a constant, or check a direct linear equation:
Pattern: (4×7)−13=28−13=15
Let's test if this digit-multiplication pattern works for any options to yield 19:
If the number is xy→(x×y)−13=19⟹x×y=32
Looking at the options, for 59: 5×9=45
=32. Let's try another logical connection:
Alternative pattern:
47→(4+7)+4=15
(Sum of digits + 4)
Let's look for a direct multiplier rule:
47−(2×16)=15⟹Not uniform.
Let's test: First number=3×Second number+2
3×15+2=45+2=47
Applying this exact rule to find the missing term:
Missing number=3×19+2=57+2=59
This perfectly matches option D.
Multiply the digits of the first number and add a constant, or check a direct linear equation:
Pattern: (4×7)−13=28−13=15
Let's test if this digit-multiplication pattern works for any options to yield 19:
If the number is xy→(x×y)−13=19⟹x×y=32
Looking at the options, for 59: 5×9=45
=32. Let's try another logical connection:
Alternative pattern:
47→(4+7)+4=15
(Sum of digits + 4)
Let's look for a direct multiplier rule:
47−(2×16)=15⟹Not uniform.
Let's test: First number=3×Second number+2
3×15+2=45+2=47
Applying this exact rule to find the missing term:
Missing number=3×19+2=57+2=59
This perfectly matches option D.