Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth numbers is related to the fifth number.
85
Understanding Number Analogy Questions
Number analogy questions test your ability to find the relationship or pattern between pairs of numbers. The same relationship must hold true for all given pairs in the analogy. In this specific problem, we are given three parts: 52 is to 221, 20 is to an unknown number, and 64 is to 272. We need to find the relationship between the first and second numbers (52 and 221) and the fifth and sixth numbers (64 and 272), and then apply that relationship to the third number (20) to find the fourth, or missing, number.
Finding the Pattern in the Number Analogy
Let's look closely at the given pairs:
- Pair 1: 52 and 221
- Pair 3: 64 and 272
We need to find a consistent mathematical operation or relationship that transforms the first number of each pair into the second number.
Let's try division to see if there's a simple ratio:
For the first pair (52 and 221):
\( \frac{221}{52} \)
Let's perform the division:
\( 221 \div 52 \approx 4.25 \)
Let's check if 52 multiplied by 4.25 gives 221:
\( 52 \times 4.25 = 52 \times \frac{17}{4} = \frac{52}{4} \times 17 = 13 \times 17 = 221 \)
This works! The relationship for the first pair seems to be multiplying the first number by 4.25 (or \(\frac{17}{4}\)).
Now let's check this relationship for the third pair (64 and 272):
Is \( 64 \times 4.25 \) equal to 272?
\( 64 \times 4.25 = 64 \times \frac{17}{4} = \frac{64}{4} \times 17 = 16 \times 17 = 272 \)
Yes, the relationship holds true for the third pair as well. The consistent pattern is to multiply the first number by 4.25 (or \(\frac{17}{4}\)) to get the second number.
Applying the Pattern to Find the Missing Number
Now we need to apply this same pattern to the third number in the analogy, which is 20, to find the missing fourth number.
The relationship is: Missing Number = \( 20 \times 4.25 \)
Let's calculate:
\( 20 \times 4.25 = 20 \times \frac{17}{4} \)
We can simplify this calculation:
\( \frac{20}{4} \times 17 = 5 \times 17 = 85 \)
So, the missing number is 85.
Verifying the Solution
The analogy can be completed as: 52 : 221 :: 20 : 85 :: 64 : 272
This fits the pattern we discovered where the second number is obtained by multiplying the first number by 4.25.
Let's check the given options:
- 170
- 255
- 84
- 85
Our calculated missing number, 85, matches one of the options.
Summary of the Analogy Pattern
| First Number | Relationship | Second Number |
|---|---|---|
| 52 | \(\times 4.25\) (or \(\times \frac{17}{4}\)) | 221 |
| 20 | \(\times 4.25\) (or \(\times \frac{17}{4}\)) | 85 |
| 64 | \(\times 4.25\) (or \(\times \frac{17}{4}\)) | 272 |
Revision Table: Number Analogy Concepts
| Concept | Description |
|---|---|
| Number Analogy | A type of logical reasoning question where numbers are related based on a specific pattern or rule. |
| Pattern Recognition | The process of identifying the rule or relationship connecting the numbers in the known pairs. |
| Applying the Rule | Using the identified pattern to find the missing number in the incomplete pair. |
Additional Information: Types of Number Patterns
Number analogy problems can use various types of patterns. Here are some common ones:
- Arithmetic Operations: Addition, subtraction, multiplication, division, or a combination of these.
- Squares and Cubes: Numbers related to squares or cubes (e.g., \(n^2\), \(n^2+1\), \(n^3\), \(n^3-1\)).
- Digit Operations: Sum, difference, product, or other operations on the digits of the numbers.
- Prime Numbers: Patterns involving prime numbers.
- Series Logic: The numbers might be part of a sequence or series with a specific rule.
Practicing different types of patterns helps improve your ability to quickly identify the rule in number analogy questions.
Similar Questions
What comes next?
AJ, BL, CN, ?
In the word "FUNDAMENTAL", if we assign even numbers to vowels (A=2, E=4, I=6, O=8, U=10), what is the sum of all vowel values?
Select the term from among the given options that can replace the question mark (?) in the following series.
YL 93, XK 88, WJ 83, VI 78, ?
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/Subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(49, 63, 441)
(7, 14, 14)
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(15, 20, 4)
(30, 30, 3)
Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(4, 6, 8)
(6, 8, 10)
Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
132 : 10 :: 42 : 5 :: 272 : ?
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
(6, 2, 34)
(1, 5, 13)
(9, 1, ?)
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed)
(2, 114, 19)
(12, 216, 6)
Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
6 : 646 :: 5 : ? :: 4 : 190
Important Questions from Letter and Number Based
Select the option that is related to the third number in the same way as the second number is related to the first number.
22 : 441 :: 13 : ?Select the option that is related to the third number in the same way as the second number is related to the first number.
31 : 90 :: 43 : ?
Select the option which is related to the third number in the same way as the second number is related to the first number.
7 : 56 :: 13 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number.
77 : 11 :: 259 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number.
15 : 270 :: 13 : ?
