5 : 125 :: 8 : ?
Number Analogy: Identifying the Pattern
The question presents a number analogy: 5 : 125 :: 8 : ? We need to find the mathematical relationship between the first pair of numbers (5 and 125) and apply it to the second pair (8 and the unknown number).
Finding the Relationship
Observe the relationship between 5 and 125:
- $5 \times 5 \times 5 = 5^3 = 125$
The pattern is that the second number is the cube of the first number.
Applying the Pattern
Now, apply the same pattern (cubing the number) to 8:
- Take the number 8.
- Calculate its cube: $8^3$.
- $8^3 = 8 \times 8 \times 8 = 64 \times 8 = 512$.
Result
Therefore, the missing number in the analogy is 512.
Similar Questions
- 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 their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
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(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
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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 :: ....... : .........
