NDA/NA SOLVED PAPER 2016-I (MATHEMATICS)

Total Questions: 120

111. Solve the following equation

Correct Answer: (a)
Solution:

112. Solve the following equation

Correct Answer: (c) 5√3 square units
Solution:


113. Consider the following in respect of the matrix


1. A² = - A
2. A³ = 4A
Which of the above is/are correct?

Correct Answer: (b) 2 only
Solution:

114. Which of the following determinants have value 'zero'?

Select the correct answer using the code given below.

Correct Answer: (d) 1, 2 and 3
Solution:


115. What is the acute angle between the lines represented by the equations y - √3x - 5 = 0 and √3y - x + 6 = 0 ?

Correct Answer: (a) 30°
Solution:

116. The system of linear equations kx + y + z = 1 , x + ky + z = 1 and x + y + kz = 1 has a unique solution under which one of the following conditions?

Correct Answer: (a) k ≠ 1 and k ≠ -2
Solution:


117. What is the number of different messages that can be represented by three 0's and two 1's?

Correct Answer: (a) 10
Solution:Number of different messages that can be represented by three O's and two 1's is 10. Option (a) is correct.

118. Solve the following equation

Correct Answer: (d)
Solution:

119. Solve the following equation

Correct Answer: (d) 0
Solution:

120. Suppose ω₁ and ω₂ are two distinct cube roots of unity different from 1. Then what is (ω₁ – ω₂)² equal to?

Correct Answer: (d) -3
Solution: