\(8:64::10:?\)
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.)
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.
546 : 15 :: 879 : ? :: 715 : 13
- 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 In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic relationship with the given pair. Choose the most appropriate option from the four choices given below.
Glacier: Melt :: Volcano:?- Complete the analogy: PQR: LMN :: GHI:?
- Complete the analogy: HJL : JLN :: QSU : ?
In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic
relationship with the given pair. Choose the most appropriate option from the four choices given below.
Doctor: Diagnosis :: Judge: ?- NPCI is to Digital Payment as UIDAI is to...?
In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic
relationship with the given pair. Choose the most appropriate option from the four choices given below.
Seed: Sapling :: Fetus: ?- In each question below, two pairs of letters are given. The first pair has a specific relationship between its letters. Identify the relationship and choose the correct option that completes the second pair in the same way.
DC: FA:: HE:?
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 :: ....... : .........
