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Select the set, from the given options, 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 тАУ 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.) (2,24,6)(4,32,2)
(3,48,4)
(6,108,3)
(9,80,1)
(5,70,3)
(6,108,3)
Look at the relationship between the first and third numbers to get the middle number: (First ├Ч Third) ├Ч 4 = Middle number.
Look at the relationship between the first and third numbers to get the middle number: (First ├Ч Third) ├Ч 4 = Middle number.
Analyze First Given Set
For set (2, 24, 6), multiplying the first and third numbers gives 2 ├Ч 6 = 12. Multiplying 12 by 4 gives the middle number 24.
Analyze Second Given Set
For set (4, 32, 2), multiplying the first and third numbers gives 4 ├Ч 2 = 8. Multiplying 8 by 4 gives the middle number 32.
Test Option B
For set (3, 48, 4), multiplying the first and third numbers gives 3 ├Ч 4 = 12. Multiplying 12 by 4 gives 48, which matches the middle number.
A: (3, 48, 4) gives 48 which matches the pattern. C: (6, 108, 3) gives 72 not 108. D: (9, 80, 1) gives 36 not 80.
B is correct because the product of the first and third numbers multiplied by 4 equals the second number in the set ((3 ├Ч 4) ├Ч 4 = 48).
In number set analogy questions, always test basic products and sums of outer numbers before checking squares or cubes.
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