\(58214 : 70436 :: 73928 : ?\)
The question presents a number series problem involving an analogy. We need to identify the relationship between the first pair of numbers (\(58214\) and \(70436\)) and apply the same relationship to find the missing number in the second pair (\(73928 : ?\)).
Identifying the Pattern
Let's examine the relationship between the digits of the first number (\(58214\)) and the second number (\(70436\)).
- Compare the first digit: \(5\) and \(7\). The difference is \(7 - 5 = 2\).
- Compare the second digit: \(8\) and \(0\). The difference could be interpreted as adding \(2\) (\(8+2=10\), the last digit is \(0\)).
- Compare the third digit: \(2\) and \(4\). The difference is \(4 - 2 = 2\).
- Compare the fourth digit: \(1\) and \(3\). The difference is \(3 - 1 = 2\).
- Compare the fifth digit: \(4\) and \(6\). The difference is \(6 - 4 = 2\).
The pattern appears to be adding \(2\) to each digit of the first number to get the corresponding digit of the second number. When the sum of a digit plus \(2\) is greater than \(9\), we take only the unit digit of the sum.
Let's verify this pattern:
- \(5 + 2 = 7\)
- \(8 + 2 = 10\). The unit digit is \(0\).
- \(2 + 2 = 4\)
- \(1 + 2 = 3\)
- \(4 + 2 = 6\)
Combining these results gives \(70436\), which matches the second number in the first pair.
Applying the Pattern to Find the Missing Number
Now, we apply the same digit-wise addition of \(2\) to the second pair, starting with the number \(73928\).
- First digit: \(7 + 2 = 9\)
- Second digit: \(3 + 2 = 5\)
- Third digit: \(9 + 2 = 11\). The unit digit is \(1\).
- Fourth digit: \(2 + 2 = 4\)
- Fifth digit: \(8 + 2 = 10\). The unit digit is \(0\).
Combining these resulting digits, we get \(95140\).
Conclusion
Based on the identified pattern of adding \(2\) to each digit (taking the unit digit for sums greater than \(9\)), the missing number in the sequence \(73928 : ?\) is \(95140\). This corresponds to option 3.
Similar Questions
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1. Iconoclast: Tradition
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Important Questions from Reasoning Analogy
WSO is related to XXUP in a certain way based on the English alphabetical order. In the same way, ONKG is related to PPMH. To which of the following is VURN related, following the same logic?
Select the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.
(The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Withdraw : ExtractSelect the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.
Duleep Trophy : Cricket
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 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, 35, 11)
(1, 82, 61)
7 is related to 30 following a certain logic. Following the same logic, 14 is related to 100. To which of the following is 22 related following the same logic?
(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 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.)
