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Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number results in the second number. Similarly, certain mathematical operation(s) on the second number results in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 тАУ 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.) 4 - 8 - 16 - 32; 1 - 2 - 4 - 8
6 - 12 - 24 - 28
5 - 10 - 20 - 40
12 - 24 - 28 - 56
6 - 12 - 20
5 - 10 - 20 - 40
Observe the ratio between consecutive numbers: each term is twice the previous term (x2 pattern). Simply look for the option where each number is continuously multiplied by 2.
Observe the ratio between consecutive numbers: each term is twice the previous term (x2 pattern). Simply look for the option where each number is continuously multiplied by 2.
Analyze Given Set 1
In 4 - 8 - 16 - 32: 4 x 2 = 8, 8 x 2 = 16, 16 x 2 = 32. Each number is multiplied by 2 to get the next number.
Analyze Given Set 2
In 1 - 2 - 4 - 8: 1 x 2 = 2, 2 x 2 = 4, 4 x 2 = 8. This confirms the rule is multiplying each term by 2.
Check Options for the x2 Pattern
Option A: 6 x 2 = 12, 12 x 2 = 24, but 24 x 2 = 48 (not 28). Option B: 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40. This follows the exact pattern. Option C: 12 x 2 = 24, 24 x 2 = 48 (not 28). Option D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24 (not 20).
A: Fails at the 4th term (24 x 2 = 48, not 28). C: Fails at the 3rd term (24 x 2 = 48, not 28). D: Fails at the 4th term (12 x 2 = 24, not 20).
B is correct because Option B (5 - 10 - 20 - 40) consistently multiplies each number by 2 to obtain the next number, exactly matching the pattern in both given sets.
Always test the pattern across all transitions in a sequence; options often mimic the first one or two steps to trap candidates who do not verify the complete chain.
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