(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)
Identifying the Number Pattern
We need to find the relationship between the numbers in the given sets: (45, 80, 5) and (39, 30, 24). The operations must be performed on the whole numbers without breaking them into digits.
Let the numbers in a set be represented as (A, B, C).
Let's analyze the first set (45, 80, 5):
- Consider the difference between the first and third numbers: $ 45 - 5 = 40 $.
- Now, check if this difference relates to the second number (80). We find that $ 40 \times 2 = 80 $.
Let's verify this pattern with the second set (39, 30, 24):
- Difference between the first and third numbers: $ 39 - 24 = 15 $.
- Check the relation to the second number (30): $ 15 \times 2 = 30 $.
The identified pattern is consistent for both sets: (First Number - Third Number) $\times$ 2 = Second Number. Mathematically, this can be expressed as $ (A - C) \times 2 = B $.
Verifying Number Set Options
Now, we apply the derived pattern $ (A - C) \times 2 = B $ to each of the given options:
- Option 1: (45, 72, 9)
Calculation: $ (45 - 9) \times 2 = 36 \times 2 = 72 $. This matches the second number (72). This set follows the pattern. - Option 2: (15, 10, 11)
Calculation: $ (15 - 11) \times 2 = 4 \times 2 = 8 $. This does not match the second number (10). - Option 3: (27, 6, 25)
Calculation: $ (27 - 25) \times 2 = 2 \times 2 = 4 $. This does not match the second number (6). - Option 4: (15, 0, 16)
Calculation: $ (15 - 16) \times 2 = (-1) \times 2 = -2 $. This does not match the second number (0).
The set (45, 72, 9) correctly follows the identified numerical relationship, making it the correct answer.
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 : ?
- 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.)
15, 224
8, 63 - 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)
