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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Matrices

NDA 2021 · Mathematics · Matrices

How many matrices of different orders are possible with elements...

How many matrices of different orders are possible with elements comprising all prime numbers less than 30 ?

Options

  1. A22
  2. B33
  3. C44
  4. D66

Correct answer

C. 44

Step-by-step solution

Prime number less than 30 are 2,3,5,7,11,13,17,19,232,3,5,7,11,13,17,19,23 and 29. Number of prime number =10=10. Different order of matrices: 1×10,10×1,2×5 and 5×21 \times 10,10 \times 1,2 \times 5 \text{ and } 5 \times 2
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