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.) (4, 3, 16) (6, 4, 28)
(8, 2, 20)
This problem requires identifying a numerical pattern common to two given sets and then applying that pattern to find the correct option among the choices provided. The constraint is that operations must be performed on the whole numbers.
Analyzing the Number Sets for a Pattern
Let's denote the numbers in each set as $(a, b, c)$. We need to find a relationship between $a$, $b$, and $c$ that holds true for the given examples.
Given Set 1: (4, 3, 16)
- Here, $a=4$, $b=3$, and $c=16$.
Given Set 2: (6, 4, 28)
- Here, $a=6$, $b=4$, and $c=28$.
We look for a consistent mathematical operation linking $a$ and $b$ to produce $c$. Let's explore possible operations:
- Consider multiplication of the first two numbers: $a \times b$.
- For Set 1: $4 \times 3 = 12$.
- For Set 2: $6 \times 4 = 24$.
- Now, let's see how $c$ relates to $a \times b$.
- For Set 1: $c = 16$. The difference is $16 - 12 = 4$.
- For Set 2: $c = 28$. The difference is $28 - 24 = 4$.
In both cases, the difference between $c$ and the product $a \times b$ is 4. This suggests the relationship might be $c = (a \times b) + 4$.
Verifying the Identified Pattern
Let's verify if the relationship $c = a \times b + 4$ holds true for both given sets:
- Set 1: $(4, 3, 16)$
- Using the formula: $4 \times 3 + 4 = 12 + 4 = 16$. This matches the third number ($c=16$).
- Set 2: $(6, 4, 28)$
- Using the formula: $6 \times 4 + 4 = 24 + 4 = 28$. This matches the third number ($c=28$).
The relationship $c = a \times b + 4$ is consistent across both provided sets.
Testing the Pattern Against the Options
Now, we apply the confirmed relationship $c = a \times b + 4$ to each of the given options:
-
Option 1: (5, 2, 49)
- $a=5$, $b=2$.
- Calculation: $5 \times 2 + 4 = 10 + 4 = 14$.
- The result (14) does not match the third number (49).
-
Option 2: (8, 2, 20)
- $a=8$, $b=2$.
- Calculation: $8 \times 2 + 4 = 16 + 4 = 20$.
- The result (20) matches the third number (20).
-
Option 3: (8, 1, 18)
- $a=8$, $b=1$.
- Calculation: $8 \times 1 + 4 = 8 + 4 = 12$.
- The result (12) does not match the third number (18).
-
Option 4: (3, 2, 12)
- $a=3$, $b=2$.
- Calculation: $3 \times 2 + 4 = 6 + 4 = 10$.
- The result (10) does not match the third number (12).
Conclusion on the Correct Number Set
Based on the analysis, the set (8, 2, 20) is the only option that follows the pattern $c = a \times b + 4$, which is consistent with the given examples (4, 3, 16) and (6, 4, 28).
Therefore, the set in which the numbers are related in the same way is (8, 2, 20).
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 : ?
