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Select the option in which the numbers share the same relationship as that shared by the given number triads. 2-8-32 5-20-80 (NOTE: Operations should be performed on the whole number, 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.)
5-25-100
1-4-12
4-8-12
3-12-48
12-48
Observe that the triad follows a constant multiplicative ratio: the second term is 4 times the first, and the third term is 4 times the second (A, A4, A16).
Observe that the triad follows a constant multiplicative ratio: the second term is 4 times the first, and the third term is 4 times the second (A, A4, A16).
Analyze the given triads
Triad 1: 2, 8, 32. Pattern: 24=8 and 84=32. Triad 2: 5, 20, 80. Pattern: 54=20 and 204=80. Both sets follow the ratio 1:4:16.
Apply pattern to options
We need an option where middle term = first term * 4 and last term = middle term * 4. Checking D: 3, 12, 48. 34=12 and 124=48. This matches the logic.
A: 54=20 (not 25), B: 14=4 but 44=16 (not 12), C: 42=8 and 8*1.5=12, failing the 1:4:16 ratio.
D is correct because 3-12-48 follows the consistent pattern of multiplying the previous number by 4 to get the next number, just like the given triads.
In number analogy, always check for simple multiplication or squares first. If those fail, look for the relationship between the first and second, and second and third numbers separately.
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