What comes next? 1, 4, 10, 20, 35, ?
Correct answer: D. 56
- A. 50
- B. 52
- C. 54
- D. 56
Explanation
The sequence is based on the sum of the first n natural numbers (also known as triangular numbers). The differences between consecutive numbers are 3, 6, 10, 15, and the next difference should be 21 (since 21 is the next triangular number: 1+2+3+4+5+6=21). Therefore, adding 21 to 35 gives us 56. This means 56 is the correct next number. The other options (50, 52, 54) do not follow this pattern of triangular numbers.
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Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.
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