(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.)
Logic Identification
The question presents a relationship between pairs of numbers and asks to identify the rule governing this relationship. We are given:
- 21 is related to 83
- 33 is related to 131
The constraint is that operations must be performed on the whole numbers, not their digits.
Applying Logic to Examples
Let's test potential mathematical operations. Consider the first pair (21 -> 83):
- Multiplying 21 by 4 gives 84.
- Subtracting 1 from 84 yields 83.
- So, the potential logic is: \( \text{Result} = (\text{Number} \times 4) - 1 \)
Let's verify this logic with the second pair (33 -> 131):
- Using the formula: \( (33 \times 4) - 1 \)
- \( 33 \times 4 = 132 \)
- \( 132 - 1 = 131 \)
The logic \( (\text{Number} \times 4) - 1 \) holds true for both given examples.
Calculating the Related Number for 43
Now, we apply the identified logic to the number 43:
- Number = 43
- Applying the formula: \( (43 \times 4) - 1 \)
- Calculate the product: \( 43 \times 4 = 172 \)
- Subtract 1: \( 172 - 1 = 171 \)
Therefore, 43 is related to 171 following the established logic.
Option Verification
Comparing the calculated result (171) with the given options:
- Option 1: 177
- Option 2: 171
- Option 3: 161
- Option 4: 166
The calculated value 171 matches Option 2.
Similar Questions
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
BIP : EMU
GNU : JRZ
PJAE is related to JOWH in a certain way based on the English alphabetical order. In the same way, OIVC is related to INRF. To which of the following is NEZF related to following the same logic?
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
ZOT - TLP
NIL - HFH- KNVG is related to QIZD in a certain way based on the English alphabetical order. In the same way, HMSE is related to NHWB. To which of the following is GIUH related, following the same logic?
- CPWG is related to HLZE in a certain way based on the English alphabetical order. In the same way, IMTE is related to NIWC. To which of the following is JOWF related, following the same logic?
- Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
FPD : ENB
RUN : QSL - BIGE is related to CKJI in a certain way based on the English alphabetical order. In the same way, RYAK is related to SADO. To which of the given options is JQTB related, following the same logic?
Important Questions from Analogy
Select the related word pair from the given alternatives. Teeth : Cut :: ____ : ______.
Select the related word pair from the given alternatives. Celsius : Temperature :: ______ : ____.
Select the option that is related to the third term in the same way as the second term is related to the first term.
0.24 : 0.0024 :: 3.03 : ?
Select the option in which the numbers are related in the same way as are the numbers in the given set.
(11, 13, 17)
Select the option that is related to the third number in the same way as the second number is related to the first number.
154 : 10 :: 261 : ?
