Question
Download Solution PDF6 से कितने तीन अंकों की संख्याएँ विभाज्य हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
समान्तर श्रेणी के nवें पद a, a + d , a + 2d, . . . . ,a + (n - 1)d हैं।
Tn = a + ( n - 1 ) d
जहां a = पहला पद और d = सार्व अंतर
गणना:
6 से विभाज्य तीन अंकों की संख्याएँ 102, 108, 114, ... 996 है।
समान्तर श्रेणी की श्रृंखला 102, 108, 114, ... 996 है।
जैसा कि हम जानते हैं कि, Tn = a + ( n - 1 ) d
⇒ 996 = 102 + ( n - 1 ) 6
⇒ 894 = ( n- 1 ) 6
⇒ 149 = n - 1
⇒ n = 150
सही विकल्प 4 है
Last updated on May 31, 2025
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