Mathematics · JEE

Important Questions: Simple applications for JEE

19+ syllabus-aligned questions available

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The most important Simple applications questions for JEE cover conceptual traps, standard results, and numerical patterns from Simple applications. Goodmarks provides 19+ high-yield MCQs with full solutions.

Focus on what matters most. These important Simple applications questions cover high-weightage concepts from Simple applications — the topics JEE repeats every year.

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Q1MathsUnit 4: Permutations and Combinations
The total number of ways of formation of five letter words from the letters of the word INDEPENDENT,I N D E P E N D E N T, is
Q2MathsUnit 4: Permutations and Combinations
All the five digit numbers that can be formed using the digits 1,2,3,4,5 without repetition, are arranged in the decreasing order of magnitude. The rank of the number 34215 is
Q3MathsUnit 4: Permutations and Combinations
7 boys and 8 girls have to sit in a row on 15 chairs numbered from 1 to 15 then?
Q4MathsUnit 4: Permutations and Combinations
Assertion In the shop there are five types of ice- creams available, a child buys six ice- creams. Reason The number of different ways the child can buy the six ice-creams is 10C3^{10} C_{3}
Q5MathsUnit 4: Permutations and Combinations
Given: 20!18!=380\frac{20 !}{18 !}=380
Q6MathsUnit 4: Permutations and Combinations
The number of words that can be formed out of the letters of the word "ARTICLE" so that the vowels occupy even places is
Q7MathsUnit 4: Permutations and Combinations
How many three digit numbers can be formed that are divisible by 5 by using the digits 0,2,5,8,9 such that repetition is strictly not allowed
Q8MathsUnit 4: Permutations and Combinations
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is

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Frequently asked questions

What makes a Simple applications question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Permutations and Combinations are high-weightage?

Key areas include Simple applications. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.