There are two rows, each containing 3 numbers. Below are some rules to be used to get the resultant number for each row separately. Use the rule from left to right for each row and find the answer to the question. Rule: 1. If an even number is followed by an even number, then the first number will be subtracted from the second. 2. If an odd number is followed by an odd number, then both will be added. 3. If an odd number is followed by an even number, then the even number will be subtracted from the square of the odd number. 4. If an even number is followed by an odd number, then the odd number will be subtracted from the even number. Row I: 9,11, 34 Row II: 16, 9, 8 What is the difference between the resultant numbers in the first row and the second row
27
Understanding the Number Pattern Rules
This question involves applying specific rules to a sequence of numbers in rows to find a resultant number for each row. We are given four rules based on whether numbers are odd or even and their order. Let's break down these rules:
- Rule 1: Even followed by Even - Subtract the first number from the second. \( \text{Even}_2 - \text{Even}_1 \)
- Rule 2: Odd followed by Odd - Add both numbers. \( \text{Odd}_1 + \text{Odd}_2 \)
- Rule 3: Odd followed by Even - Subtract the even number from the square of the odd number. \( (\text{Odd}_1)^2 - \text{Even}_2 \)
- Rule 4: Even followed by Odd - Subtract the odd number from the even number. \( \text{Even}_1 - \text{Odd}_2 \)
We need to apply these rules step-by-step from left to right for each row to get the final resultant number.
Processing Row I: 9, 11, 34
Let's process the numbers in Row I using the given rules.
- First pair: 9 and 11. Both are odd numbers.
Rule 2 applies: Odd followed by Odd. Add the numbers.
\( 9 + 11 = 20 \) - The result from the first step is 20. Now we use this result with the next number in the row, which is 34. The pair is 20 and 34.
20 is an even number, and 34 is an even number.
Rule 1 applies: Even followed by Even. Subtract the first number (20) from the second number (34).
\( 34 - 20 = 14 \)
The resultant number for Row I is 14.
Processing Row II: 16, 9, 8
Now, let's process the numbers in Row II following the same rules.
- First pair: 16 and 9. 16 is an even number, and 9 is an odd number.
Rule 4 applies: Even followed by Odd. Subtract the odd number (9) from the even number (16).
\( 16 - 9 = 7 \) - The result from the first step is 7. Now we use this result with the next number in the row, which is 8. The pair is 7 and 8.
7 is an odd number, and 8 is an even number.
Rule 3 applies: Odd followed by Even. Subtract the even number (8) from the square of the odd number (7).
\( 7^2 - 8 = 49 - 8 = 41 \)
The resultant number for Row II is 41.
Calculating the Difference Between Resultant Numbers
The question asks for the difference between the resultant numbers in the first row and the second row. The resultant number for Row I is 14, and the resultant number for Row II is 41.
Difference \( = | \text{Resultant from Row I} - \text{Resultant from Row II} | \)
Difference \( = | 14 - 41 | \)
Difference \( = | -27 | \)
Difference \( = 27 \)
The difference between the resultant numbers is 27.
Revision Table: Number Pattern Rules Summary
| Condition | Rule Operation | Formula |
|---|---|---|
| Even followed by Even | Subtract first from second | \( \text{Even}_2 - \text{Even}_1 \) |
| Odd followed by Odd | Add both | \( \text{Odd}_1 + \text{Odd}_2 \) |
| Odd followed by Even | Square first, subtract second | \( (\text{Odd}_1)^2 - \text{Even}_2 \) |
| Even followed by Odd | Subtract second from first | \( \text{Even}_1 - \text{Odd}_2 \) |
Additional Information: Logic and Reasoning in Number Series
Questions like this test your ability to follow specific logical rules sequentially. These are common in reasoning and aptitude tests. The key is to correctly identify the type of numbers (odd or even) and apply the exact rule specified for that pair. Always proceed from left to right, using the result of the previous operation as the first number for the next step in the row.
Understanding basic arithmetic operations (addition, subtraction, squaring) and the concept of odd and even numbers is crucial for solving such problems. Practice with different sets of numbers and rules can help improve speed and accuracy in applying these logical steps.
Important Questions from Coding Decoding
Which two signs should be interchanged to make the given equation correct?
51 + 18 - 5 × 12 ÷ 3 = 137
In a code language, INDICATOR is written as JOEJBCVQT. How will EMOTIONAL be written in that language?
There are two rows, each containing 3 numbers. Some rules are given below to be used for obtaining the resultant number for each row separately. Apply the rules for each row from left to right and answer the question.
Rules:
i. If an even number is followed by an even number, the first is to be subtracted from the second.
ii. If an odd number is followed by an odd number, both are to be added.
iii. If an odd number is followed by an even number, the even number is to be subtracted from the square of the odd number.
iv. If an even number is followed by an odd number, the odd number is to be subtracted from the even number.
Row I: 28, 19, 12
Row II: 13, 7, 32
What is the average of the resultant numbers of the first row and the second row?
In a certain code language, 'I belong to you' is written as '# @ © *', 'you belong to them' is written as '©@ % *', 'we belong them' is written as '+ %©'. What is the code for 'we to you' in that code language?
In a certain code language, ' IN' is coded as '23', and 'ARE' is coded as '24'. How will ' HUNGRY' be coded in that language?
