हिंदी

The sum of first 40 positive integers divisible by 6 is ______. (a) 2460 (b) 3640 (c) 4920 (d) 4860

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प्रश्न

The sum of first 40 positive integers divisible by 6 is ______.

विकल्प

  • 2460

  • 3640

  • 4920

  • 4860

MCQ
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उत्तर

The sum of first 40 positive integers divisible by 6 is 4920.

Explanation:

The numbers 6, 12, 18, ..., 6 × 40 = 240 form an AP with n = 40, a = 6 and last term l = 240. 

Use `S_n = n/2 (a + l)`:

`S_40 = 40/2 xx (6 + 240)`

= 20 × 246

= 4920

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अध्याय 5: Arithmetic Progression - MULTIPLE-CHOICE QUESTIONS (MCQ) [पृष्ठ २९७]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 15. | पृष्ठ २९७
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