Select the option that is related to the third number in the same way as the second number is related to the first number. 18 ∶ 10 ∶ ∶ 24 ∶ ?
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Understanding Number Analogy Questions
Number analogy questions ask you to find a relationship between two numbers and then apply that same relationship to a third number to find a fourth, missing number. These questions test your ability to recognize patterns and mathematical operations.
In the given question, we have the analogy: 18 ∶ 10 ∶∶ 24 ∶ ?
We need to find the relationship between the first number, 18, and the second number, 10. Once we identify this relationship, we will apply it to the third number, 24, to find the missing fourth number.
Finding the Relationship between 18 and 10
Let's explore possible mathematical relationships between 18 and 10.
- Could it be a simple subtraction? $18 - 8 = 10$. If we subtract 8 from 24, we get $24 - 8 = 16$. Is 16 an option? No.
- Could it involve division? Let's try dividing 18 by a number. $18 \div 2 = 9$. How can we get from 9 to 10? By adding 1: $9 + 1 = 10$.
So, the potential relationship is: divide the first number by 2, and then add 1.
Let's verify this rule with the first pair (18 and 10):
$$ \frac{18}{2} + 1 $$
$$ 9 + 1 = 10 $$
This relationship holds true for the first pair of numbers.
Applying the Relationship to 24
Now, we apply the same rule to the third number, 24, to find the missing number.
We need to calculate: $\text{(24 divided by 2)} + 1$.
$$ \frac{24}{2} + 1 $$
$$ 12 + 1 = 13 $$
The result is 13.
Checking the Options
Now let's look at the given options:
- 13
- 17
- 12
- 29
Our calculated number, 13, is one of the options.
Conclusion
The relationship between the first pair of numbers (18 and 10) is dividing the first number by 2 and adding 1. Applying this same relationship to the third number (24) gives us 13. Therefore, the missing number in the analogy 24 ∶ ? is 13.
The complete analogy is: 18 ∶ 10 ∶∶ 24 ∶ 13.
Revision Table: Number Analogy
Understanding the relationship between numbers is key to solving number analogy problems.
| First Number | Relationship/Rule | Second Number |
|---|---|---|
| 18 | Divide by 2, then add 1 | $\frac{18}{2} + 1 = 9 + 1 = 10$ |
| 24 | Divide by 2, then add 1 | $\frac{24}{2} + 1 = 12 + 1 = 13$ |
Additional Information: Solving Analogy Problems
Number analogy questions often involve basic arithmetic operations, squares, cubes, roots, or digit-based manipulations. Here are some common approaches to finding the relationship:
- Arithmetic Operations: Look for addition, subtraction, multiplication, or division. Sometimes a combination of these is used.
- Squares and Cubes: The numbers might be squares or cubes, or related to them (e.g., one more or less than a square).
- Digit Operations: The relationship might involve the sum of digits, product of digits, or other manipulations of the digits themselves.
- Prime or Composite Numbers: The pattern might relate to properties like being prime or composite.
- Sequence Patterns: Although less common in simple analogies, sometimes there's an underlying sequence.
To solve these problems effectively, practice identifying common patterns and perform calculations carefully.
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 : ?
