Analogy Pattern Analysis
The question presents a number analogy: $8 : 27 :: 64 : ?$. We need to find the relationship between the numbers.
- Look at the first pair: $8$ and $27$.
- Notice that $8 = 2^3$ (2 cubed) and $27 = 3^3$ (3 cubed).
- The pattern involves the cubes of consecutive integers ($2$ and $3$).
Calculating Missing Term
Now, apply this pattern to the second pair, which starts with $64$.
- Recognize that $64 = 4^3$ (4 cubed).
- Following the established pattern of consecutive cubes, the next base number should be $4 + 1 = 5$.
- Calculate the cube of $5$: $5^3 = 5 \times 5 \times 5 = 125$.
- Therefore, the missing number in the analogy $8 : 27 :: 64 : ?$ is $125$.
Similar Questions
Solve:
DF : GI :: KM : ?- Choose the number that fits the analogy: $3 : 24 :: 5 : ?$
- Find the missing number:
$100 : 1000 :: 64 : ?$ - Find the missing number: 12 : 441 :: 13 : ?
- Solve:
AB : CD :: EF : ? - 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 option that is related to the third number in the same way as the second number is related to the first number.
12 : 60 :: 16 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number.
16 : 144 :: 28 : ?
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 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)
(42, 18, 3)
(36, 14, 4)
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
ABILITY : LIBAYTI : : CHRONIC : ORHCCIN : : HEAVILY : ?
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(4, 50, 6)
(13, 128, 3)
