Question : Directions: Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 9 – 44 – 218
Option 2: 6 – 31 – 156
Option 3: 13 – 66 – 331
Option 4: 16 – 81 – 406
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Correct Answer: 9 – 44 – 218
Solution :
Let's check the options –
First option:
9 – 44 – 218; 9 × 5 + 1 = 45 + 1 = 46; 46 × 5 + 1 = 230 + 1 = 231
≠ 218
Second option:
6 – 31 – 156; 6 × 5 + 1 = 30 + 1 = 31; 31 × 5 + 1 = 155 + 1 = 156
Third option:
13 – 66 – 331; 13 × 5 + 1 = 65 + 1 = 66; 66 × 5 + 1 = 330 + 1 = 331
Fourth option:
16 – 81 – 406; 16 × 5 + 1 = 80 + 1 = 81; 81 × 5 + 1 = 405 + 1 = 406
So, the first option does not follow the pattern of multiplying the numbers by 5 and adding 1 to get the next number of the sequence. Hence, the first option is correct.
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