\(8:64::10:?\)
Solving the Number Analogy 8:64 :: 10:?
This question asks us to find the missing number in the analogy $8:64::10:?$. An analogy presents a relationship between two pairs of numbers. Our goal is to identify the pattern in the first pair ($8$ and $64$) and apply it to the second pair ($10$ and the unknown number).
Identifying the Pattern
Let's examine the relationship between the first number, 8, and the second number, 64.
- We can see that 64 is the result of multiplying 8 by itself.
- Mathematically, this can be represented as $8 \times 8 = 64$.
- Alternatively, we can express this using exponents: $8^2 = 64$.
This suggests the pattern is to square the first number to get the second number.
Applying the Pattern
Now, we apply the same pattern to the second pair of the analogy, which starts with the number 10.
Using the squaring pattern identified:
- The first number is 10.
- We need to calculate $10^2$.
- $10^2 = 10 \times 10 = 100$.
Therefore, the missing number in the analogy is 100.
Comparing with Options
The options provided are 80, 120, 100, and 90. Our calculated result, 100, matches one of the options.
- Option 1: 80 (Incorrect)
- Option 2: 120 (Incorrect)
- Option 3: 100 (Correct)
- Option 4: 90 (Incorrect)
The correct number to complete the analogy $8:64::10:?$ is 100.
Similar Questions
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.)
- 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
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 :: ....... : .........
