Practice/Question bank/JEE Main

JEE Main practice questions

NTA-style Physics, Chemistry and Maths MCQs with solutions. 2,688 questions in the bank.

1. 1If [IMAGE] thenMathematics· Limits· Moderate· figure
2. 2If one of the lines of [IMAGE] is a bisector of the angle between the lines xy = 0, then m isMathematics· Straight Lines· Tough· figure
3. 3Suppose a and b are real numbers such thatMathematics· Limits· Easy· figure
4. 4[IMAGE] is equal toMathematics· Limits· Easy· figure
5. 5JM-M-10-Q19Mathematics· Limits· Moderate· figure
6. 6The sum of all the 4 digits numbers formed using digits 0,2,3,5 (repetition is not allowed) is equal toMathematics· Permutations and Combinations· Easy
7. 7The equations of perpendicular of the sides AB & AC of [IMAGE] are x - y - 4 = 0 and 2x - y - 5 = 0 respectively. If the vertex A is (-2,3)…Mathematics· Straight Lines· Tough· figure
8. 8The number of factors of [IMAGE] which are perfect squares of natural numbers are [IMAGE] Then [IMAGE] is equal toMathematics· Permutations and Combinations· Easy· figure
9. 9The equation of a line through the mid-point of the sides AB and AD of rhombus ABCD, whose one diagonal is 3x-4y+5=0 and one vertex is…Mathematics· Straight Lines· Tough· figure
10. 10Number of ways in which the letter of the word DECISIONS be arranged so that letter N be somewhere to the right of the letter "D" is…Mathematics· Permutations and Combinations· Easy· figure
11. 11There are n persons sitting around a circular table. They start singing a 2 minute song in pairs such that no two persons sitting together…Mathematics· Permutations and Combinations· Moderate· figure
12. 12The point (x, y) lies on the line[IMAGE]. The smallest value of the quantity [IMAGE] is m. Then the value of [IMAGE] isMathematics· Straight Lines· Moderate· figure
13. 13If pair of lines [IMAGE] and another pair of lines given by [IMAGE] have exactly one line common and other lines represented by them are…Mathematics· Straight Lines· Moderate· figure
14. 14If the straight line [IMAGE] and [IMAGE] enclosed an angle of [IMAGE] and the line [IMAGE] meets them at the same point, thenMathematics· Straight Lines· Moderate· figure
15. 15If N is the number of positive integral solution of Then, which is correct out of followingMathematics· Permutations and Combinations· Moderate· figure
16. 16Number of ways in which AAA BBB can be placed in the squares of the figure as shown, so that no row remains empty, isMathematics· Permutations and Combinations· Moderate· figure
17. 17The number less than 1000 that can be formed using the digits 0, 1, 2, 3, 4, 5 when repetition is not allowed is equal toMathematics· Permutations and Combinations· Moderate· figure
18. 18n is selected from the set [IMAGE] and the number [IMAGE] is formed. Total number of ways of selecting n so that the formed number is…Mathematics· Permutations and Combinations· Tough· figure
19. 19If P, Q and R are three points with co-ordinates (1,4), (4,2) and [IMAGE] respectively then the value of m for which PR + RQ is minimum…Mathematics· Straight Lines· Moderate· figure
20. 20Let P and Q be any two points on the lines represented by 2x -3y = 0 and 2x + 3y = 0 respectively. If the area of triangle OPQ (where O is…Mathematics· Straight Lines· Tough· figure
21. 21From a well shuffled deck of cards, 2 cards are drawn with replacement. If x represent numbers of times ace coming, then value of P(x = 1)…Mathematics· Pemutation and combination· Moderate
22. 22If px + qy + r = 0 represent a family of straight lines such that 3p + 2q + 4r = 0 thenMathematics· Straight Lines· Moderate
23. 23Number of natural number's less than 7000 using digit 0, 1, 3, 7, 9 (repetition allowed) isMathematics· Pemutation and combination· Moderate
24. 24An urn contains 5 red and 2 green balls, one ball is chosen from urn, if it is red then a green ball is put back into Box, and if it is…Mathematics· Pemutation and combination· Easy· figure