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Exam Details

2017 Mathematics

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Questions 390
Duration 180 mins
Package National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers

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Difficulty distribution

Medium 130 33.3%
Hard 130 33.3%
Easy 130 33.3%

Question type distribution

Multiple Choices 390 100%

Syllabus

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Sample questions from this paper

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1
2017 · Unclassified
2017 Mathematics
Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day. Which one of the following is correct?
A
The relation is an equivalent relation
B
The relation is not reflexive but it is symmetric and transitive
C
The relation is not symmetric but it is reflexive and transitive
D
The relation is not transitive but it is reflexive and symmetric
2
2017 · Unclassified
2017 Mathematics
Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of A containing two or three elements is
A
45
B
120
C
165
D
330
3
2017 · Unclassified
2017 Mathematics
The value of i^{2n} + i^{2n+1} + i^{2n+2} + i^{2n+3}, where i = √{-1}, is
A
0
B
1
C
i
D
-i
4
2017 · Unclassified
2017 Mathematics
If the difference between the roots of the equation x² + kx + 1 = 0 is strictly less than √{5}, where |k| ≥ 2, then k can be any element of the interval
A
(-3, -2] \cup [2, 3)
B
(-3, 3)
C
[-3, -2] \cup [2, 3]
D
None of the above
5
2017 · Unclassified
2017 Mathematics
If the roots of the equation x² + px + q = 0 are in the same ratio as those of the equation x² + lx + m = 0, then which one of the following is correct?
A
p² m = l² q
B
m² p = l² q
C
m² p = q² l
D
m² p² = l² q
6
2017 · Unclassified
2017 Mathematics
The value of \left(\frac{-1 + i √{3}}{2}\right)^n + \left(\frac{-1 - i √{3}}{2}\right)^n where n is not a multiple of 3 and i = √{-1}, is
A
1
B
-1
C
i
D
-i