NDA & NA Exam (II)- 2016 - Mathematics Defence Question Paper

NDA Previous Year Question Papers Question Papers
NDA & NA Exam (II)- 2016 - Mathematics

NDA & NA Exam (II)- 2016 - Mathematics Defence Questions

11.
What is the number of distinct solutions of the equation \( z^{2} + |z| = 0 \) (where z is a complex number)?
A.
One
B.
Two
C.
Three
D.
Five
😑 View Answer Error
ANSWER :
C. Three
12.
How many geometric progressions is/are possible containing 27, 8 and 12 as three of its/their terms?
A.
One
B.
Two
C.
Four
D.
Infinitely many
😑 View Answer Error
ANSWER :
D. Infinitely many
13.
Let R be a relation from \( A = \{1, 2, 3, 4\} \) to \( B = \{1, 3, 5\} \) such that \( R = \{(a, b) : a < b, a \in A, b \in B\} \). What is \( R \circ R^{-1} \) equal to?
A.
{(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
B.
{(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
C.
{(3, 3), (3, 5), (5, 3), (5, 5)}
D.
{(3, 3), (3, 4), (4, 5)}
😑 View Answer Error
ANSWER :
C. {(3, 3), (3, 5), (5, 3), (5, 5)}
14.
A five-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3 and 4 without repetition of digits. What is the number of ways this can be done?
A.
96
B.
48
C.
32
D.
No number can be formed
😑 View Answer Error
ANSWER :
D. No number can be formed
15.
What is \( {}^{47}C_{4} + {}^{51}C_{3} + \sum_{j=2}^{5} {}^{52-j}C_{3} \) equal to?
A.
\( {}^{52}C_{4} \)
B.
\( {}^{51}C_{5} \)
C.
\( {}^{53}C_{4} \)
D.
\( {}^{52}C_{5} \)
😑 View Answer Error
ANSWER :
A. \( {}^{52}C_{4} \)
16.
For the next three (03) items that follow:
Let a, x, y, z, b be in AP, where \( x + y + z = 15 \). Let a, p, q, r, b be in HP, where \( p^{-1} + q^{-1} + r^{-1} = \frac{5}{3} \).

What is the value of ab?
A.
10
B.
9
C.
8
D.
6
😑 View Answer Error
ANSWER :
B. 9
17.
What is the value of xyz?
A.
120
B.
105
C.
90
D.
Cannot be determined
😑 View Answer Error
ANSWER :
B. 105
18.
What is the value of pqr?
A.
\( \frac{35}{243} \)
B.
\( \frac{81}{35} \)
C.
\( \frac{243}{35} \)
D.
Cannot be determined
😑 View Answer Error
ANSWER :
C. \( \frac{243}{35} \)
19.
For the next two (02) items that follow:
The sixth term of an AP is 2 and its common difference is greater than 1.

What is the common difference of the AP so that the product of the first, fourth and fifth terms is greatest?
A.
\( \frac{8}{5} \)
B.
\( \frac{9}{5} \)
C.
2
D.
\( \frac{11}{5} \)
😑 View Answer Error
ANSWER :
A. \( \frac{8}{5} \)
20.
What is the first term of the AP so that the product of the first, fourth and fifth terms is greatest?
A.
−4
B.
−6
C.
−8
D.
−10
😑 View Answer Error
ANSWER :
B. −6
Prev Next page