Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number. 84 : 196 :: 51 : ? :: 96 : 224 (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.)
The pattern in the given analogy is based on a mathematical relationship between pairs of numbers. Let's analyze the relationship between the first pair (84 : 196) and the third pair (96 : 224):
- 84 : 196: Notice that \(196 = 84 \times 2 + 28\). The second number is double the first number plus 28.
- 96 : 224: Similarly, \(224 = 96 \times 2 + 32\). The second number is double the first number plus 32.
Observe that the added constant increases by 4 (from 28 to 32) as we move from the first pair to the second pair. This suggests a pattern.
Now, let's apply this pattern to the second pair (51 : x) to find the missing number (x):
If the pattern continues, the added constant should be \(32 + 4 = 36\).
Therefore, \(x = 51 \times 2 + 36 = 102 + 36 = 138\).
However, this result is not among the options provided. Let's re-examine the pattern. It seems there is another logical pattern present.
Let's try another approach. Consider the difference between the numbers in each pair:
- 196 - 84 = 112
- 224 - 96 = 128
The difference increases by 16 (128 - 112 = 16). If we maintain this pattern, the difference for the middle pair should be 112 + 16 = 128
Therefore, x = 51 + 112 + 16 = 179. This is also not an option. Let's consider another pattern.
Let's examine the relationship in a different light. If we look at the prime factorization of the numbers, there's no immediately apparent pattern. Let's try a simpler approach. Let's consider if one number is a multiple of the other.
It turns out that \(196 = 84 \times 2 + 28\) and \(224 = 96 \times 2 + 32\). While not a clean ratio, the relationship between the pairs involves multiplication by 2 and adding an increasing constant. This is a subtle pattern.
There might be an error in the question or the provided options. None of the simple arithmetic relationships yield a consistent pattern that leads to one of the provided options. The explanation assumes a potential error in the question or answer choices.
Similar Questions
- Which option represents the correct order of the given words as they would appear in an English dictionary?
1 Measurement
2 Methodology
3 Merchandise
4 Meaningless
5 Memorabilia Select the option that is related to the third term in the same way as the second term is related to the first term. (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.)
HORSE: GNQRD :: ANIMAL:?
Select the pair from among the given options that is analogous to the given pair.
3:31
2:12
(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.)
Select the option that is related to the third number in the same way as the second number is related to the first number.
335 : 216 :: 987 : ?
(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.)
- 325 is related to 30 following a certain logic. Following the same logic, 424 is related to 32. Which of the following numbers is related to 16 using the same logic?
Select the option that is related to the third word in the same way as the second word is related to the first word. (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) Embroidery: Thread :: Knitting:_______________
Select the set in which the numbers are related in the same way as the numbers of the following set.
(13, 57, 111)
(11, 49, 95)
(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.)
- Which of the following equations is correct when the numbers 3 and 9 are interchanged and the signs - and x are interchanged?
Select the option in which the numbers share the same relationship as that shared by the given triad of numbers.
2312 – 62 – 12
Select the triad from among the given options that is analogous to the given triad.
251-332-422
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 :: ....... : .........
