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Exam Details

2016 Mathematics

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Questions 2010
Duration 180 mins
Package National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers

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Difficulty distribution

Medium 670 33.3%
Hard 670 33.3%
Easy 670 33.3%

Question type distribution

Multiple Choices 2,010 100%

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Sample questions from this paper

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1
2016 · Unclassified
2016 Mathematics
Let S be a set of all distinct numbers of the form \( p/q \), where p, q \in \{1, 2, 3, 4, 5, 6\}. What is the cardinality of the set S?
A
21
B
23
C
32
D
36
2
2016 · Unclassified
2016 Mathematics
If c > 0 and 4a + c < 2b, then ax2 - bx + c = 0 has a root in which one of the following intervals?
A
(0, 2)
B
(2, 3)
C
(3, 4)
D
(-2, 0)
3
2016 · Unclassified
2016 Mathematics
If A = \{x \in \mathbf{R} : x2 + 6x - 7 < 0\} and B = \{x \in \mathbf{R} : x2 + 9x + 14 > 0\}, then which of the following is/are correct? 1. A ∩ B = \{x \in \mathbf{R} : -2 < x < 1\} 2. A \ B = \{x \in \mathbf{R} : -7 < x < -2\} Select the correct answer using the code given below:
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
4
2016 · Unclassified
2016 Mathematics
If A is a square matrix of order 3 and det A = 5, then what is det [(2A)−1] equal to?
A
1/10
B
2/5
C
8/5
D
1/40
5
2016 · Unclassified
2016 Mathematics
What is \( \omega^{100} + \omega^{200} + \omega^{300} \) equal to, where \( \omega \) is the cube root of unity?
A
1
B
\(3\omega\)
C
3\omega2
D
0
6
2016 · Unclassified
2016 Mathematics
If \( Re \left( z-1/z+1 \right) = 0 \), where \( z = x + iy \) is a complex number, then which one of the following is correct?
A
z = 1 + i
B
|z| = 2
C
z = 1 - i
D
|z| = 1