Mathematics · JEE

Simple applications Previous Year Questions for JEE

19+ syllabus-aligned questions available

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Goodmarks offers 19+ JEE-style PYQs for Simple applications with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Simple applications is tested in JEE. Practise 19+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

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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

Why practise PYQs for Simple applications?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Simple applications, covering the same topics as previous year papers.

How should I use PYQs for Permutations and Combinations?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.