Question
If x/y = (-1/3)⁻³ ÷ (2/3)⁻⁴ , then the value of (x/y + y/x)⁻¹ × (y/x)⁻¹ is :
Asked in CTET (Maths & Science) · 2026
Surds and Indices · Quantitative Aptitude
Exam PYQ4 Options
Quick Revision
For indices, a^m ÷ a^n = a^(m−n), provided a is non-zero.
Correct AnswerCorrect option for this question
Learn Surds and Indices in 60 Seconds
A concise refresher on simplifying and rationalising radical expressions.
Everything you need to learn, practice & excel — in one place.
3,000+ Video-Based Study Material
PYQ-Based Quizzes
4,000+ Informative Audiobooks
6,300+ Full-Length Mock Tests
Daily Current Affairs
40,000+ PYQs
Questions Asked from Surds In Simplification: Rationalise & Simplify in Previous Exams
See how often Surds In Simplification: Rationalise & Simplify has appeared in previous-year questions across major government exams.
12UPSC Questions Asked in These Years:2011, 2012, 2013, 2014, 2015, 2018, 2019, 2020, 2021, 2022, 2023, 2026
10SSC Questions Asked in These Years:2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
7Railways Questions Asked in These Years:2016, 2018, 2021, 2022, 2024, 2025, 2026
16State PSC Questions Asked in These Years:2002, 2004, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
Surds In Simplification: Rationalise & Simplify has appeared in 45 previous-year exam questions, most frequently in State PSC, UPSC and SSC.
2-Minute Revision Notes
Revise Surds and Indices and Its Related Concepts
Strengthen key concepts with exam-focused visual notes for faster revision.
Explore More Questions
Continue practising by chapter, topic and related subjects.
One question solved. Keep going.
Continue with the next Simplification question and build your accuracy one question at a time.