(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
15, 224
8, 63
Number Pair Relationship Analysis
The question asks to identify the number pair where the second number is obtained from the first using a specific mathematical operation. We need to find this consistent operation by analyzing the given examples and options.
Identifying the Pattern
Let's examine the relationship within the provided correct answer pair: (9, 80).
- First Number ($N_1$): 9
- Second Number ($N_2$): 80
We look for a mathematical operation that transforms $N_1$ into $N_2$. Consider squaring the first number:
Calculation: $N_1^2 = 9^2 = 81$.
Now, subtract 1 from this result:
Result: $81 - 1 = 80$.
This matches the second number ($N_2$). Therefore, the identified mathematical operation is $N_2 = N_1^2 - 1$.
Applying the Pattern to Options
We now test this rule, $N_2 = N_1^2 - 1$, against each of the given options to find the pair that follows the same relationship.
| Option Pair | $N_1$ | $N_2$ | Calculation ($N_1^2 - 1$) | Result | Match? |
|---|---|---|---|---|---|
| 1. (9, 80) | 9 | 80 | $9^2 - 1 = 81 - 1$ | 80 | Yes |
| 2. (11, 123) | 11 | 123 | $11^2 - 1 = 121 - 1$ | 120 | No |
| 3. (6, 37) | 6 | 37 | $6^2 - 1 = 36 - 1$ | 35 | No |
| 4. (13, 170) | 13 | 170 | $13^2 - 1 = 169 - 1$ | 168 | No |
Conclusion
The number pair (9, 80) is the only option where the second number is obtained by squaring the first number and subtracting 1 ($N_2 = N_1^2 - 1$).
Similar Questions
- 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 their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(52, 100, 196)
(65, 126, 248) - In the following number-pairs, the second number is obtained by applying certain mathematical operation(s) to the first number. Select the number-pair in which the numbers are related in the same way as are the numbers of the following pairs.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
34, 136
53, 212 Select the option that is related to the third term in the same way as the second term is related to the first term.
Bihu : Assam :: Kathakali : ?
Select the option that is related to the third term in the same way as the second term is related to the first term.
Goldsmith : Gold :: Blacksmith : ?
- 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 their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(45, 80, 5)
(39, 30, 24) - Select the pair that follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
EYN : FAQ
GWA : HYD - 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 their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(19, 374, 14)
(47, 2230, 22) - Select from the options the first word is related to the second word in the same way. The word related to the third word is S
Jaggery : Sugar :: Pepper : ? - Select the option that is related to the third term in the same way as the second term is related to the first term.
Tea : Leaves :: Coffee : ? - Select the option in which the words share the same relationship as that shared by the given pair of words.
Actor = Theatre
Important Questions from Analogy
Select the option that is related to the third number in the same way as the second number is related to the first number.
12 : 60 :: 16 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number.
16 : 144 :: 28 : ?
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)
(42, 18, 3)
(36, 14, 4)
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
ABILITY : LIBAYTI : : CHRONIC : ORHCCIN : : HEAVILY : ?
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, 50, 6)
(13, 128, 3)
