As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

**Q1.**The number of numbers of 4 digits which are not divisible by 5, are

(a) Total number of four digit numbers =9×10×10×10 =9000

**Q2.**The number of ways in which n ties can be selected from a rack displaying 3 n different ties is

(d) Required number of ways =

^{3n}C

_{n}=(3n !)/(n ! 2n !)

**Q3.**How many even numbers of 3 different digits can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9

(a) The number will be even if last digit is either 2, 4, 6 or 8 ie the last digit can be filled in 4 ways and remaining two digits can be filled in

^{8}P

_{2}ways.

^{8}P

_{2}×4=224

**Q5.**Three straight lines L

_{1},L

_{2},L

_{3}are parallel and lie in the same plane. A total of m points are taken on

_{1},n points on L

_{2},k points on L

_{3}. The maximum number of triangles formed with vertices at these points are

(b) Total number of points on a three lines are m+n+k

^{m+n+k}C

_{3}-

^{m}C

_{3}-

^{n}C

_{3}-

^{k}C

_{3}(subtract those triangles in which point on the same line)

**Q5.**If r>p>q, the number of different selections of p+q thing taking r at a time, where p things are identical

**Q6.**Let 1, 2, 3, 4 are four numbers. How many numbers can be made using all four numbers?

(d) Given four numbers 1, 2, 3 and 4 Number of numbers of one digit=

^{4}P

_{1}=4

^{4}P

_{3}=24

^{4}P

_{1}=24

^{4}P

_{4}=24

**Q7.**A polygon has 170 diagonals. How many sides will it have?

(c) 20

**Q9.**The number of diagonals in a octagon will be

(b) In a octagon there are eight sides and eight points

^{8}C

_{2}-8=28-8=20

**Q10.**If a,b,c,d,e are prime integers, then the number of divisors of ab

^{2}c

^{2}de excluding 1 as a factor is

(d) The number of divisors of ab

^{2}c

^{2}de =(1+1)(2+1)(2+1)(1+1)(1+1)-1 =2.3.3.2.2.-1=71