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JEE Quick: Algebra & Probability
JEE Mathematics • 10 questions • Free on ExamBattle
Practice Questions
Q1
If A is a 3×3 matrix with |A| = 5, then |adj(A)| equals:
- A. 5
- B. 25
- C. 125
- D. 1/5
Q2
The probability that a leap year has 53 Sundays is:
- A. 1/7
- B. 2/7
- C. 3/7
- D. 53/366
Q3
If z = (1+i)/(1−i), then z⁴ equals:
- A. i
- B. 1
- C. −1
- D. −i
Q4
The number of 4-letter words (with or without meaning) that can be formed from the letters of "RANDOM" such that the first and last letters are vowels is:
- A. 40
- B. 48
- C. 60
- D. 36
Q5
If the sum of the first n terms of an A.P. is 3n² + 5n, then the 10th term is:
- A. 57
- B. 62
- C. 65
- D. 60
Q6
The value of the determinant |1 a a²; 1 b b²; 1 c c²| is:
- A. (a−b)(b−c)(c−a)
- B. (a+b)(b+c)(c+a)
- C. abc(a−b)(b−c)
- D. (a−b)²(b−c)
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