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दिलेल्या मालिकेत '?' च्या जागी काय येईल?
32 40 50 58 68?
75
76
77
78
76
Observe the alternating addition pattern: +8, +10, +8, +10. The cycle repeats every two steps.
Observe the alternating addition pattern: +8, +10, +8, +10. The cycle repeats every two steps.
Analyze consecutive differences
Calculate the difference between adjacent terms: 40-32 = 8, 50-40 = 10, 58-50 = 8, 68-58 = 10.
Identify the alternating cycle
The differences follow a strict pattern: +8, +10, +8, +10. Following this logic, the next difference must be +8.
Calculate the final term
Add 8 to the last term (68): 68 + 8 = 76.
A: 75 is incorrect as it implies an addition of +7, breaking the established +8/+10 cycle. C: 77 is incorrect as it assumes an addition of +9, which does not match the cycle. D: 78 is incorrect as it assumes an addition of +10, whereas the cycle dictates +8.
B is correct because the series follows an alternating pattern of adding 8 and 10 to consecutive terms, meaning the final step is 68 + 8 = 76.
In any series, if the difference fluctuates in a small range, check for alternating addition/subtraction or periodic patterns (cycle of 2 or 3) before assuming complex squares/cubes.