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JEE Mathematics PYQ — Algebra & Calculus

JEE Mathematics • 10 questions • Free on ExamBattle

Practice Questions

1. Q1

   [JEE Mains 2023] The value of lim(x→0) (sin 3x)/(sin 5x) is:

   • A. 3/5
   • B. 5/3
   • C. 1
   • D. 0

2. Q2

   [JEE Mains 2022] If A is a 3×3 matrix with |A| = 5, then |3A| =

   • A. 15
   • B. 135
   • C. 45
   • D. 5

3. Q3

   [JEE Mains 2023] The number of ways 5 boys and 3 girls can be seated in a row so that no two girls are adjacent is:

   • A. 14400
   • B. 7200
   • C. 720
   • D. 3600

4. Q4

   [JEE Mains 2022] The complex number z = (1+i)/(1−i) equals:

   • A. i
   • B. −i
   • C. 1
   • D. −1

5. Q5

   [JEE Mains 2021] In a binomial expansion (x + y)ⁿ, if the coefficients of 3rd and 4th terms are 36 and 84 respectively, then n is:

   • A. 7
   • B. 9
   • C. 6
   • D. 8

6. Q6

   [JEE Mains 2023] The probability that a randomly chosen 2-digit number is divisible by both 2 and 3 is:

   • A. 1/6
   • B. 1/3
   • C. 1/4
   • D. 1/9

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