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.**Three dice are thrown simultaneously, then probability of throwing a total greater than 4 is

(b) P(getting a sum greater than 4) =1-P(getting a sum less than 5) …(i)

**Q2.**An integer is chosen at random from first two hundred numbers. Then, the probability that the integer chosen is divisible by 6 or 8 is

(a) One integer can be chosen out of 200 integers in

^{200}C

_{1}ways.

**Q3.**Given two mutually exclusive events A and B such that P(A)=0.45 and P(B)=0.35,P(A∩B) is equal to

**Q4.**Suppose f(x)=x

^{3}+ax

^{2}+bx+c,where a,b,c are chosen respectively by throwing a dice three times. Then, the probability that f(x) is an increasing function, is

(a) ∵f(x)=x

^{3}+ax

^{2}+bx+c

^{2}+2ax+b y=f(x) is increasing.

^{2}-4×3×b≤0

^{2}-3b≤0

**Q6.**If P(A∩B)=1/2,P(A

^{c}∩B

^{c})=1/3,P(A)=p,P(B)=2 p, then the value of p is given by

(b) We have, P(A

^{c}∩B

^{c})=1/3

^{c})=1/3

**Q7.**One card is drawn randomly from a pack of 52 cards, then the probability that it is a king of spade, is

(c) Probability of getting a king =4/52=1/13

**Q8.**The probability that the three cards drawn from a pack of 52 cards, are all black, is

(b) In a pack of 52 cards, there are 26 black cards.

^{26}C

_{3})/(

^{52}C

_{3}) =(26×25×24)/(3×2×1)×(3×2×1)/(52×51×50) =2/17

**Q9.**A biased coin with probability p,0<pə of heads is tossed until a head appears for the first time. If the probability that the number of tossed required is even is 2/5,then p equals

(a) Let q=1-p.

^{3}p+q

^{5}p+...

^{2})

^{2})

**Q10.**A matrix is chosen at random from the set of all 2×2 matrices with elements 0 and 1 only. The probability that the value of the determinant of the matrix chosen is positive, is