(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 set of pairs given below. Both pairs follow the same pattern.
ARH: YOJ
SFP: QCRFIGH is related to KNLM in a certain way based on the English alphabetical order. In the same way, RUST is related to WZXY. To which of the following options is HKIJ related, following the same logic?
- In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is same as that on the right side of ::? (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.) X : 179 :: 22 : Y
- Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::? # : EAG :: IEK : %
- Select the set in which the numbers are related in the same way as are the numbers of the given 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.)
(29, 116, 348)
(22, 88, 264) - MXEL is related to OZHP in a certain way based on the English alphabetical order. In the same way, VRHB is related to XTKF. To which of the given options is QOJA related, following the same logic?
- Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given 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.)
3 – 9 – 81 – 66 ; 5 – 25 – 625 – 610 - 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.)
(10, 5, 60)
(9, 6, 64) - 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 - Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
KFM : GCR
RMS : NJX
Important Questions from Analogy
Select the option that is related to the third term in the same way as the second term is related to the first term.
Day: Night :: Morning : ?Select the option that is related to the third term in the same way as the second term is related to the first term.
India : Country :: Delhi : ..........Select the option that is related to the third term in the same way as the second term is related to the first term.
MATE: NATE :: FATE: ?Select the option that is related to the third term in the same way as the second term is related to the first term.
13 : 196 :: 9 : .......
Select the related word pair from the given alternatives. Afghanistan : Kabul :: ....... : .........
