An ascending series of numbers satisfies the following conditions:
The 6th number in this series will be:
Explanation:
LCM (3, 4, 5, 6) = 60 From (i), numbers are of the form 60k + 2. From (ii), numbers are of the form 11m. 11m = 60k + 2 = 55k + (5k + 2) 11 divides (5k + 2) Units digit of (5k + 2) is 2 or 7 So, values of (5k + 2) are 11 × 2, 11 × 7, 11 × 12, 11 × 17, 11 × 22, 11 × 27, … and so on. We need to find the 6th number of the ascending series. ∴ 5k + 2 = 11 × 27 ⇒ k = 59 The required number = 60 × 59 + 2 = 3542 Hence, option (c).
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