GATE EE 2019 Set 1 — Question 6
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyPermutations & CombinationsQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Permutations & Combinations
Last updated
Question
How many integers are there between 100 and 1000 all of whose digits are even?
Correct answer
(C) 100
Solution
Integers between 100 and 1000 are 3-digit numbers.
The set of even digits is .
For a 3-digit number :
The set of even digits is .
For a 3-digit number :
1.The hundreds digit () cannot be 0. So, . There are 4 choices.
2.The tens digit () can be any even digit. So, . There are 5 choices.
3.The units digit () can be any even digit. So, . There are 5 choices.
Total such integers = .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 EE 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 Q1‘The shopkeeper sells lemons.’ In this sentence, the word ‘lemons’ is the ________.2026 Set 1 Q2The figure below is supposed to show three non-overlapping shapes – one oval and two triangles.…2026 Set 1 Q3At how many points will the curves and intersect in the real …2026 Set 1 Q4‘If Anish had scored hundred runs in today’s match, he would have been made the captain of his…2026 Set 1 Q5Which one of the following figures P, Q, R, or S, correctly shows the clockwise-rotated…