Mathematics Question Paper of NDA(National Defence Academy & Naval Academy) Exam (I), 2006
NDA (National Defence Academy & Naval Academy) Mathematics Exam Question Paper 2006: Download Question Paper of Mathematics of NDA Exam conducted by UPSC in 2006 to select right candidates in National Defence Academy & Naval Academy.
1. Universal set,
U ={ x|x5 - 6x4 + 11x3 - 6x2 =o}
A = { x|x2 - 5x + 6 = 0 }
B = { x|x2 - 3x + 2 = 0 }
What is (A ∩ B) equal to?
(a) {1, 3}
(b) {1, 2, 3}
(c) {0, 1, 3}
(d) {0, 1,2, 3}
Ans: (c)
2. If the sum of first 10 terms of an arithmetic progression with first term p and common difference q, is 4 times the sum of the first 5 terms, then what is the ratio p : q?
(a) 1 : 2
(b) 1 : 4
(c) 2 : 1
(d) 4 : 1
Ans: (a)
3. If the roots of the equation 4β2 + λβ - 2 = 0 are of the form k/k + 1 and k + 1/k + 2, then what is the value of λ?
(a) 2k
(b) 7
(c) 2
(d) k + 1
Ans: (b)
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