Study the given pattern carefully and select the number that can replace the question mark (?) in it. (4, 2, 18) (1, 7, 24) (5, 4, ?) (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)
27
Understanding the Number Pattern
The question asks us to identify the pattern in the given sets of numbers and find the missing number in the third set. We are given three sets of numbers in the format (a, b, c).
- Set 1: (4, 2, 18)
- Set 2: (1, 7, 24)
- Set 3: (5, 4, ?)
We need to find a mathematical relationship between the first two numbers (a and b) in each set that results in the third number (c).
Analysing the Pattern with Given Sets
Let's examine the first two sets to find a consistent rule. We are looking for an operation involving the first number (a) and the second number (b) that produces the third number (c).
Consider Set 1: (4, 2, 18). Let a=4 and b=2. We need an operation to get c=18.
- Maybe addition and multiplication: $(a+b) \times \text{constant} = c$? Let's try: $(4+2) \times k = 18 \implies 6 \times k = 18 \implies k = 3$.
- Let's test this rule $(a+b) \times 3 = c$ on the second set.
Consider Set 2: (1, 7, 24). Let a=1 and b=7. According to our potential rule, $(a+b) \times 3 = c$.
- Let's calculate: $(1+7) \times 3 = 8 \times 3 = 24$.
- This matches the third number in the second set (24).
The pattern appears to be: (First Number + Second Number) $\times$ 3 = Third Number or $(a+b) \times 3 = c$.
Applying the Pattern to Find the Missing Number
Now we apply this rule to the third set: (5, 4, ?).
- Here, a = 5 and b = 4.
- Using the rule $(a+b) \times 3 = c$, we substitute the values:
- $(5 + 4) \times 3 = ?$
- $9 \times 3 = ?$
- $27 = ?$
So, the missing number is 27.
Conclusion
Based on the identified pattern, the number that replaces the question mark is 27.
| Set | First Number (a) | Second Number (b) | Calculation $(a+b) \times 3$ | Third Number (c) |
|---|---|---|---|---|
| 1 | 4 | 2 | $(4+2) \times 3 = 6 \times 3 = 18$ | 18 |
| 2 | 1 | 7 | $(1+7) \times 3 = 8 \times 3 = 24$ | 24 |
| 3 | 5 | 4 | $(5+4) \times 3 = 9 \times 3 = 27$ | ? = 27 |
Revision Table: Key Learnings
| Concept | Description |
|---|---|
| Pattern Recognition | Finding a consistent rule or relationship between numbers in a sequence or set. |
| Logical Reasoning | Using deduction to determine the next element or missing value based on the identified pattern. |
| Arithmetic Operations | Applying basic operations like addition, subtraction, multiplication, or division to test potential rules. |
Additional Information: Solving Number Patterns
Solving number pattern questions often involves trial and error with different mathematical operations. Here are some common approaches:
- Look for relationships between adjacent numbers (addition, subtraction, multiplication, division).
- Look for relationships between numbers at fixed positions (e.g., first and third, first and last).
- Consider operations involving squaring, cubing, or roots.
- Think about combinations of operations (like addition followed by multiplication).
- Test a potential rule on all given examples before applying it to find the missing value.
- Pay attention to any notes, like the one provided here stating operations must be on whole numbers, not individual digits.
Similar Questions
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row - 8, 28, 53
Second row - 7, 25, 47
Third row - 13, 43, ?
(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)
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row: 15, 3, 252
Second row: 11, 5, 246
Third row: 9, 6, ?
(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)
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
(5, 14, 3)
(3, 24, 7)
(9, 30, ?)
(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)
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
(6, 1, 18)
(5, 4, 60)
(6, 2, ?)
(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)
Study the given matrix carefully and select the number from among the given options that can replace the question mark (?) in it.
7 13 174 9 25 104 11 30 ? Study the given pattern carefully and select the number that can replace the question mark (?) in it.
15 9 144 18 12 ? 22 17 195 Study the given matrix carefully and select the number from among the given options that can replace the question mark (?) in it.
12 8 100 18 6 111 15 4 ? Study the given pattern carefully and select the number that can replace the question mark (?) in it.
14 21 165 13 19 ? 10 17 99 Study the given matrix carefully and select the number from among the given options that can replace the question mark (?) in it.
9
7
9
5
4
7
43
26
?
Study the given matrix carefully and select the number from among the given options that can replace the question mark(?) in it.
13 6 75 15 8 ? 18 4 70
Important Questions from Missing Number in Matrix
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
16 295 19 9 144 17 26 ? 16 Study the given pattern carefully and select the number that can replace the question mark (?) in it.
57
28
29
68
?
33
72
37
35
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
13 26 39 30 42 ? 17 16 15 Find the missing number from the below options.
12 16 18 24 32 ? 36 48 54 Study the given pattern carefully and select the number that can replace the question mark (?) in it.
64 12 27 216 ? 343 512 40 125
