Mathematics · JEE

Important Questions: Simple applications for JEE

26+ 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 26+ 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.

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

I N D E P E N D E N T,

Q2MathsUnit 4: Permutations and Combinations

There are 4 balls of different colours

\& 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.

\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

^{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:

\frac{20 !}{18 !}=380

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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.