Mathematics · JEE

Simple applications Mock Test for JEE

26+ syllabus-aligned questions available

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A Simple applications JEE mock test on Goodmarks lets you attempt 26+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Simple applications mock test. Attempt 26+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

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

Q9MathsUnit 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

Q10MathsUnit 4: Permutations and Combinations

A polygon with minimum number of sides is called as ?

Q11MathsUnit 4: Permutations and Combinations

In a test there were

n

questions. In the test

2^{n-i}

students gave wrong answers to at least

i

questions

i=1,2,3 \dots . n .

If the total number of wrong answers given is

2047,

then

n

Q12MathsUnit 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

Q13MathsUnit 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

Q14MathsUnit 4: Permutations and Combinations

Numbers of ways in which 75600 can be resolved as product of two divisors which are relatively prime?

Q15MathsUnit 4: Permutations and Combinations

Find the number of ways of choosing two squares which are not adjacent in a

8 X 8

chess board

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Frequently asked questions

How long should a Simple applications mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

What is a good score on a Simple applications mock test?

Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

Does Goodmarks score mock tests automatically?

Yes. Each MCQ is scored instantly with the correct answer and explanation shown after submission.

Can I retake the same mock test?

Pro users can generate new question sets by topic. Reattempting the same questions after a gap is excellent for retention.