NDA/NA SOLVED PAPER 2016-I (MATHEMATICS)

Total Questions: 120

81. Solve the following equation

Correct Answer: (a) a²
Solution:

82. Solve the following equation

Correct Answer: (a) 0
Solution:

83. If A is a square matrix, then what is adj (A⁻¹) – (adj A)⁻¹ equal to?

Correct Answer: (b) Null matrix
Solution:

84. What is the binary equivalent of the decimal number 0.3125?

Correct Answer: (c) 0.0101
Solution:

85. Let R be a relation on the set N of natural numbers defined by 'nRM ⇔ n is a factor of m'. Then which one of the following is correct?

Correct Answer: (c) R is reflexive, transitive but not symmetric
Solution:


86. Solve the following equation

Correct Answer: (d) 8
Solution:

87. What is the number of natural numbers less than or equal to 1000 which are neither divisible by 10 nor 15 nor 25?

Correct Answer: (b) 854
Solution:

88. (a, 2b) is the mid-point of the line segment joining the points (10, -6) and (k, 4) a - 2b = 7, then what is the value of k?

Correct Answer: (а) 22
Solution:


89. Consider the following statements:

Correct Answer: (b) 2 only
Solution:


90. If A = (cos 12° - cos 36°) (sin 96° + sin 24°) and B = (sin 60° - sin 12°) (cos 48° - cos 72°) then what is A/B equal to ?

Correct Answer: (c) 1
Solution: