NDA I 2017 Mathematics Previous Year Paper (23-Apr-2017)

Question 1

The fifth term of an AP of n terms, whose sum is n 2&ndash; 2n, is

Accepted Answer

7

Answer

5

Answer

8

Answer

15

Question 2

The sum of the first n terms of the series $\frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{{15}}{{16}} + \ldots $ is equal to

Accepted Answer

${{\rm{2}}^{{\rm{ - n}}}}{\rm{ + \;n - 1}}$

Answer

${{\rm{2}}^{\rm{n}}}{\rm{-\;n - 1}}$

Answer

${\rm{1-}}\;{{\rm{2}}^{{\rm{ - n}}}}$

Answer

${{\rm{2}}^{\rm{n}}}{\rm{ - 1}}$

Question 3

Consider the following in respect of sets A and B:1. (A - B) &cup; B = A2. (A - B) &cup; A = A3. (A - B) &cap; B = &varphi; 4. A &sube; B &rArr; A &cup; B = BWhich of the above are correct?

Accepted Answer

2, 3 and 4

Answer

1, 2 and 3

Answer

1, 3 and 4

Answer

1, 2 and 4

Question 4

If B is a non-singular matrix and A is a square matrix, then the value of det (B -1 AB) is equal to

Accepted Answer

det (A)

Answer

det (B)

Answer

det (B -1 )

Answer

det (A -1 )

Question 5

The variance of 20 observations is 5. If each observation is multiplied by 3, then what is the new variance of the resulting observations?

Accepted Answer

45

Answer

5

Answer

10

Answer

15

NDA I 2017 Mathematics Previous Year Paper (23-Apr-2017)

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