Practicing sample papers and previous years’ question papers help in assessing your preparation and time management. It will also help in increasing your marks in examination. Engineering aspirants will get JEE Main Solved Mathematics Sample Paper Set-I based on the latest pattern and syllabus. This sample paper consists of 30 questions from Mathematics. Each question is very important from examination point of view and has been designed by Subject Experts of Mathematics.

**About Exam:**

Joint Entrance Examination (JEE) is a national level entrance examination for engineering. It consists of two level process i.e., JEE Main and JEE Advanced. It is held to give admission to Indian Institute of Technology (IITs), Indian Institute of Information Technology (IIITs), National Institute of Technology (NITs), Government-funded Technical Institutes (GFTIs) and various others prestigious engineering institutions.

**Most Important 100 Maths Solved Questions for JEE Main 2019**

**Few questions from the sample paper are given below:**

**Question:**

If eight astronaughts are to go for space walk, then the number of ways in which a specified astronaughts is to walk before another specified astronaughts is

(A) 2520

(B) 20160

(C) 40320

(D) none of these

**Solution: (B)**

The number of ways in which a specified astronaughts is to walk before another specified astronaughts is given by

**Question:**

If *T*_{0}, *T*_{1}, *T*_{2}, …., *T _{n}* represent the terms in the expansion of (

*x*+

*a*)

*, then the value of (*

^{n}*T*

_{0}-

*T*

_{2}+

*T*

_{4}*-*

*T*

_{6}+ …..)

^{2}+ (

*T*

_{1}-

*T*

_{3}+

*T*+ …..)

_{5}^{2}

*is*

(A) (*x*^{2} - *a*^{2})^{n}

(B) (*x*^{2} + *a*^{2})^{n }

(C) (*a*^{2} - *x*^{2})^{n}

(D) none of these

**Solution: (A)**

**Question:**

If *G* is the G.M. of the product of *r* sets of observations with geometric means *G*_{1}, *G*_{2}, …., *G _{r}* respectively, then

*G*is equal to

(A) log*G*_{1} + log*G*_{2} + ….. + log*G _{n}*

(B) *G*_{1}.*G*_{2} …. *G _{n}*

(C) log*G*_{1} . log*G*_{2} …. log*G _{n}*

(D) none of these

**Solution: (B)**

**JEE Main Solved Physics Sample Paper 2019 Set-I**

**Question:**

Two children each make a single throw with a pair of dice. The probability that the throws are unequal is given by

**Solution: (D)**

**Download the complete sample paper and its solution with the help of the link given below:**