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Q: The sum of five consecutive multiples of 6 is 2040. The largest multiple is :
  • A. 420
  • B. 450
  • C. 456
  • D. 528
Correct Answer: Option A - प्रश्नानुसार, 6x + (6x + 6) + (6x + 12) + (6x + 18) + (6x + 24) = 2040 ⇒ 30x + 60 = 2040 ⇒ 30x = 1980 ⇒ x = 66 अत: सबसे बड़ा गुणज = 6x + 24 = 6 × 66 + 24 = 420
A. प्रश्नानुसार, 6x + (6x + 6) + (6x + 12) + (6x + 18) + (6x + 24) = 2040 ⇒ 30x + 60 = 2040 ⇒ 30x = 1980 ⇒ x = 66 अत: सबसे बड़ा गुणज = 6x + 24 = 6 × 66 + 24 = 420

Explanations:

प्रश्नानुसार, 6x + (6x + 6) + (6x + 12) + (6x + 18) + (6x + 24) = 2040 ⇒ 30x + 60 = 2040 ⇒ 30x = 1980 ⇒ x = 66 अत: सबसे बड़ा गुणज = 6x + 24 = 6 × 66 + 24 = 420