Question : Directions: Select the option that will replace the question mark (?) in the following number series.
456, 444, 420, 384, 336, ?
Option 1: 276
Option 2: 256
Option 3: 234
Option 4: 264
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Correct Answer: 276
Solution :
Given:
456, 444, 420, 384, 336, ?
Subtract consecutive multiples of 12 from the previous number, to obtain the next number –
456 – (12 × 1) = 456 – 12 = 444;
444 – (12 × 2) = 444 – 24 = 420;
420 – (12 × 3) = 420 – 36 = 384;
384 – (12 × 4) = 384 – 48 = 336;
336 – (12 × 5) = 336 – 60 = 276
So, 276 is the missing number. Hence, the first option is correct.
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