$100 : 1000 :: 64 : ?$
Analogy Pattern Identification
The question presents a number analogy: $100 : 1000 :: 64 : ?$. We need to find the relationship between the first pair of numbers (100 and 1000) and apply it to the second pair (64 and the missing number).
Finding the Mathematical Relationship
Observe the relationship between 100 and 1000:
- $100 = 10^2$ (10 squared)
- $1000 = 10^3$ (10 cubed)
The pattern appears to be $x^2 : x^3$. In the first pair, $x=10$.
Applying the Pattern
Now, let's apply this $x^2 : x^3$ pattern to the second pair, starting with 64:
- $64 = 8^2$ (8 squared)
Here, $x=8$. Following the pattern, the missing number should be $x^3$.
Calculating the Missing Number
Calculate $8^3$:
$ 8^3 = 8 \times 8 \times 8 = 64 \times 8 = 512 $
Conclusion
The missing number is 512. This corresponds to Option C.
Similar Questions
Solve:
DF : GI :: KM : ?- Choose the number that fits the analogy: $3 : 24 :: 5 : ?$
- Find the missing number: 12 : 441 :: 13 : ?
- Solve:
AB : CD :: EF : ? - Find the missing number: $8 : 27 :: 64 : ?$
- Find the missing number: $14 : 2758 :: 16 : ?$
- Solve:
BG : DJ :: FM : ? - Find the missing number: 10 : 21 :: 12 : ?
- Find the missing number: 21 : 3 :: 574 : ?
- Find the missing number: 256 : 4096 :: 225 : ?
Important Questions from Analogy
Select the related word pair from the given alternatives. Teeth : Cut :: ____ : ______.
Select the related word pair from the given alternatives. Celsius : Temperature :: ______ : ____.
Select the option that is related to the third term in the same way as the second term is related to the first term.
0.24 : 0.0024 :: 3.03 : ?
Select the option in which the numbers are related in the same way as are the numbers in the given set.
(11, 13, 17)
Select the option that is related to the third number in the same way as the second number is related to the first number.
154 : 10 :: 261 : ?
