GATE CS 2018 Set 1 — Question 7
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyRatios, Percentages, Powers, Exponents & LogarithmsQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
Last updated
Question
If and , what is the value of the product ?
Correct answer
(C) 1
Solution
Given:
---(1)
---(2)
---(3)From (1) and (2):
Substitute this into (3):
Since , cannot be . Assuming and for a unique solution:
---(1)
---(2)
---(3)From (1) and (2):
Substitute this into (3):
Since , cannot be . Assuming and for a unique solution:
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Quantitative Aptitude
2026 Set 1 Q1The antonym of the word protagonist is ________.2026 Set 2 Q1Expedite, Hasten, Hurry, __________ Fill the blank by choosing a word with a meaning similar to…2026 Set 2 Q2A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of…2026 Set 1 Q2The figure shows two 4-tile patterns. [figure] Either one or both of the patterns can be used any…2026 Set 1 Q3Consider a knock-out women’s badminton singles tournament where there are no ties. The loser in…