SSC MTS practice question
For a real number a, if a + 1/a = 6, determine a³ + 1/a³.
From a SSC MTS Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 198
Given a + 1/a = 6.
Using the identity a³ + 1/a³ = (a + 1/a)³ − 3(a + 1/a):
a³ + 1/a³ = (6)³ − 3×(6) = 198.
हिंदी में प्रश्न
यदि किसी वास्तविक संख्या a के लिए a + 1/a = 6 है, तो a³ + 1/a³ ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (B) 198
दिया है a + 1/a = 6।
सर्वसमिका a³ + 1/a³ = (a + 1/a)³ − 3(a + 1/a) का प्रयोग करने पर:
a³ + 1/a³ = (6)³ − 3×(6) = 198।
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