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.**A coin is tossed n times. The probability that head will turn up an odd number of times, is

**Q2.**If the letters of the word ‘REGULATIONS’ be arranged at random, the probability that there will be exactly 4 letters between R and E is

(a) There are 11 letters in the word “REGULATIONS” which can be arranged in 111 ways

^{9}C

_{4}ways.

^{9}C

_{4}×4 !×2 !

^{9}C

_{4}×4 !×2 !×6 !

^{9}C

_{4}×4 ! ×2 ! ×6 !)/(11 !)=6/55

**Q3.**The probability of getting at least one tail in 4 throws of a coin is

(a) Required probability=1-(1/2)

^{4}=15/16

**Q4.**If A is a finite set, then the probability that the mapping is a bijection, is

(c) Since A is a finite set, therefore every injective map from A to itself is bijective also ∴Required probability =(n !)/n

^{n}=(n-1)!/n

^{(n-1)}

**Q5.**There are 4 white and 4 black balls in a bag and 3 balls are drawn at random. If balls of same colour are identical, the probability that none of them is black, is

(a) Three balls can be selected in the following ways:

^{4}C

_{3}, because all white balls are identical and all black balls are also identical

**Q6.**When three dice are thrown the probability of getting 4 or 5 on each of the dice simultaneously, is

(d) Total number of cases=6

^{3}=216

**Q7.**A coin is tossed 2n times. The chance that the number of times one gets head is not equal to the number of times one gets tail, is

(c) The required probability =1- probability of equal number of heads and tails.

^{2n}C

^{n}(1/2)

^{n}(1/2)

^{(2n-n )}=1-(2n)!/n!n! (1/2)

^{2n}=1-(2n)!/(n!)

^{2}∙1/4

^{n}

**Q8.**The probability that a number n chosen at random from 1 to 30, to satisfy n+(50/n)>27 is

(d) Total outcomes=30

^{2}-27n+50>0

**Q9.**Given two events A and B. If odds against A are 2 : 1 and those in favour of A∪B are as 3 : 1, then

(b) 5/12 ≤ P(B) ≤ 3/4

**Q10.**In a binomial distribution the mean is 15 and variance is 10. Then parameter n is

(c) Given mean, np=15 and variance np(1-p)=10