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Mathematics · JEE

Simple applications Previous Year Questions for JEE

26+ syllabus-aligned questions available

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Goodmarks offers 26+ 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 26+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Syllabus context

Part of Permutations and Combinations in JEE Main Mathematics.

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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
There are 4 balls of different colours &4\& 4 boxes of colours same as those of the balls. The number of ways in which the balls, one in each box, could be placed such that exactly no ball go to the box of its own colour is:
Q3MathsUnit 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
Q4MathsUnit 4: Permutations and Combinations
7 boys and 8 girls have to sit in a row on 15 chairs numbered from 1 to 15 then?
Q5MathsUnit 4: Permutations and Combinations
Find the correct co-related number. 5:36::6:?\mathbf{5}: \mathbf{3 6}:: \mathbf{6}: ?
Q6MathsUnit 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}
Q7MathsUnit 4: Permutations and Combinations
A 5 digit number divisible by 3 is to be formed using the numerals 0,1,2,3,4 \& 5 without repetition. The total number of ways this can be done is
Q8MathsUnit 4: Permutations and Combinations
Given: 20!18!=380\frac{20 !}{18 !}=380

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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.

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