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What is the value of 999\( \Large \dfrac{1}{2} \) + 999\( \Large \dfrac{1}{6} \) + 999\( \Large \dfrac{1}{12} \) + 999\( \Large \dfrac{1}{20} \) + 999 \( \Large \dfrac{1}{30} \)

A) 999\( \Large \dfrac{1}{6} \)
B) 999\( \Large \dfrac{5}{6} \)
C) 4995\( \Large \dfrac{1}{6} \)
D) 4995\( \Large \dfrac{5}{6} \)

Correct Answer:




D) 4995\( \Large \dfrac{5}{6} \)

Description for Correct answer:
999\( \Large \dfrac{1}{2} \) + 999\( \Large \dfrac{1}{6} \) + 999\( \Large \dfrac{1}{12} \) + 999\( \Large \dfrac{1}{20} \) + 999 \( \Large \dfrac{1}{30} \)

= \( \Large \left( 999 + 999 + 999 + 999 +999 \right) + \left( \dfrac{1}{2} + \dfrac{1}{6} + \dfrac{1}{12} + \dfrac{1}{20} + \dfrac{1}{30}\right) \)

= 4995 + \( \large \left[ \dfrac{30 + 10 + 5 + 3 + 2}{60} \right] \) = 4995 + \( \Large \dfrac{50}{60} \)

= 4995 + \( \Large \dfrac{5}{6} \) = 4995\( \Large \dfrac{5}{6} \)

Part of solved SSC CAPF SI Exam questions and answers : Exams >> SSC Exams >> SSC CAPF SI Exam

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