In each of the following question, there is a certain relationship between two given numbers on one side of (::) and one number is given on another side of (::) where another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative. 4 : 64 :: 5 : ?
125
We must find the rule connecting 4 and 64, then apply the identical rule to 5.
Test the cube relationship: \(4^3 = 4 \times 4 \times 4 = 64\), which matches exactly.
So the pattern is: the second number is the cube of the first number.
Applying the same rule to 5 gives \(5^3 = 5 \times 5 \times 5\).
Compute step by step: \(5 \times 5 = 25\), then \(25 \times 5 = 125\).
So the required number is 125.
Options 124, 126 and 142 are not perfect cubes of 5, so they are wrong.
Hence 4 : 64 :: 5 : 125.
Similar Questions
Select the option which is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
IGEC : DFHJ : : USQO : PRTV : : NLJH : ?
Directions: Pick the correct options from the given alternatives
201 : 423 :: 501 : ?
Directions: Select the related word from the given alternatives
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Direction: Choose the correct options from the alternative
52 :27 :: 62 : ?
If 31 : 52 = 4836 and 18 : 4 = 216, then what is the value of 51 : 27?
Directions: Select the related letter from the given alternatives.
CGK: MQU:: WAE : ?
Directions: Pick the correct options from the given alternatives
SIKIM :MIKIS:: LADAK :?
Two figures given on the left side of (::) are related with some logic/rule/relation. Select the missing figure on the right side of (::) from the given alternatives based on the same logic/rule/relation.
Two figures given on the left side of (::) are related with some logic/rule/relation. Select the missing figure on the right side of (::) from the given alternatives based on the same logic/rule/relation.
Select the option that is related to the fifth letter-number cluster in the same way as the second letter-number cluster is related to the first letter-number cluster and fourth letter-number cluster is related to third letter-number cluster.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number 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)
SB760 : PY530 :: AR1040 : XO810 :: FK840 : ?
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 :: ....... : .........
