Question : Directions: Which number from among the given options can replace the question mark (?) in the following series?
361, 306, ?, 208, 165, 126
Option 1: 235
Option 2: 216
Option 3: 298
Option 4: 255
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Correct Answer: 255
Solution :
Given:
361, 306, ?, 208, 165, 126
Decrease the difference between the consecutive numbers by 4 and find the next term of the series –
361 – 55 = 306;
306 – (55 – 4) = 306 – 51 = 255;
255 – (51 – 4) = 255 – 47 = 208;
208 – (47 – 4) = 208 – 43 = 165;
165 – (43 – 4) = 165 – 39 = 126
So, the missing number is 255. Hence, the fourth option is correct.
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