$3:17::6:?:: 9:47$
Number Analogy: Solving the Pattern $3:17::6:?:: 9:47$
This question is a type of number analogy problem. We need to find the relationship between the first number and the second number in the given pairs and apply that same relationship to find the missing number.
The question presents the analogy in the format: $A:B::C:D::E:F$. Here, we have:
- First pair: $A=3$, $B=17$
- Second pair: $C=6$, $D=?$
- Third pair: $E=9$, $F=47$
We need to determine the relationship between A and B, and between E and F, and then use that relationship to find D.
Analyzing the Relationship Between Pairs
Let's look at the first pair, $3:17$. We need to find a mathematical operation that transforms 3 into 17.
- Possibility 1: Multiplication and Addition. Let's try multiplying the first number by a factor and adding a constant. If we multiply 3 by 5, we get $3 \times 5 = 15$. Adding 2 gives $15 + 2 = 17$. So, the pattern could be (Number $\times 5) + 2$.
- Possibility 2: Squaring. $3^2 = 9$. To get 17, we need to add 8: $3^2 + 8 = 9 + 8 = 17$. The pattern could be (Number$^2$) + 8.
Testing the Pattern with the Third Pair
Now, let's test these potential patterns using the third pair, $9:47$.
- Testing Possibility 1: (Number $\times 5) + 2$
Applying this to 9: $(9 \times 5) + 2 = 45 + 2 = 47$. This matches the second number in the third pair!
- Testing Possibility 2: (Number$^2$) + 8
Applying this to 9: $(9^2) + 8 = 81 + 8 = 89$. This does not match 47.
Since the pattern (Number $\times 5) + 2$ works for both the first ($3:17$) and the third ($9:47$) pairs, we can confidently use this pattern to find the missing number.
Calculating the Missing Number
We use the confirmed pattern (Number $\times 5) + 2$ for the second pair, $6:?$.
- The first number in the pair is 6.
- Applying the pattern: $(6 \times 5) + 2$
- Calculation: $30 + 2 = 32$.
Therefore, the missing number is 32.
Conclusion
The relationship established is that the second number is obtained by multiplying the first number by 5 and then adding 2. This relationship holds true for the pairs $3:17$ and $9:47$. Applying this pattern to the pair $6:?$, we find the missing number to be 32.
The sequence is $3:17::6:32:: 9:47$.
The correct option is the one containing the number 32.
Similar Questions
Four numbers have been given, of which three are alike in some manner, while the fourth one is different. Choose the odd one.
- Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
$8:14::13:24::9:?$ - 9 is related to 16 following a certain logic. Following the same logic, 25 is related to 36. To which of the following is 81 related using the same logic?
- The numbers in each set are related to each other in a certain way.
(3, 6, 81), (2, 2, 16), (4, 5, ?)
Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set. Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number.
4862 : 6428 :: 3952 : 5392 :: 1758 : ?
- The numbers in each set are related to each other in a certain way.
(2, 8, 100), (7, 2, 81), (4, 7, ?)
Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set. Select the option that is related to the third number in the same way as the second number is related to the first number.
4 : 80 : 5 : ?If 15 is to 30, then 20 is to __?
What comes next in the series - 11 : 121 :: 13 : ?
In the following question, select the number/symbol that will replace the question mark (?) to complete the analogy: 90 : __?___ :: 72 : 240
Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
