21. How many
solutions do the following equation have

x

_{1}+x_{2}+x_{3}=11
where x

_{1}≥1, x_{2}≥2, x_{3}≥3
(A) C(7, 11)

(B) C(11, 3)

(C) C(14, 11)

(D) C(7, 5)

Answer: D

__Explanation:__
x1+x2+x3=11, x

_{1}≥1, x_{2}≥2, x_{3}≥3
x1=y1+1, x2=y2+2, x3=y3+3

y1+y2+y3=x1+x2+x3 - 6 = 11-6 = 5

Then the solutions are

^{5+3-1}C_{5}=^{7}C_{5}**Theorem:**there are C(n+r-1,r) solutions, r-combinations from a set with n elements when repetition of elements is allowed.

22. Which provides
an interface to the TCP/IP suit protocols in Windows95 and Windows NT?

(A) FTP Active-X Control

(B) TCP/IP Active-X Control

(C) Calinsock Active-X Control

(D) HTML Active-X Control

Answer: Marks to All

23. What are the
final values of Q

_{1}and Q_{0 }after 4 clock cycles, if initial values are 00 in the sequential circuit shown below :
(A) 11

(B) 10

(C) 01

(D) 00

Answer: D

24. If dual has an
unbounded solution, then its corresponding primal has

(A) no feasible solution

(B) unbounded solution

(C) feasible solution

(D) none of these

Answer: A

**Unboundedness Property**: If the primal (dual) problem has an unbounded solution, then the dual (primal) problem is infeasible

25. The number of
distinct bracelets of five beads made up of red, blue, and green beads (two
bracelets are indistinguishable if the rotation of one yield another) is,

(A) 243

(B) 81

(C) 51

(D) 47

Answer: C

26. Which are the
classifications of data used in Mobile Applications?

(A) Private data, User data, Shared data.

(B) Public data, User data, Virtual data.

(C) Private data, Public data, Shared data.

(D) Public data, Virtual data, User data.

Answer: C

27. In an
enhancement of a CPU design, the speed of a floating point unit has been
increased by 20% and the speed of a fixed point unit has been increased by 10%.
What is the overall speed achieved if the ratio of the number of floating point
operations to the number of fixed point operations is 2:3 and the floating
point operation used to take twice the time taken by the fixed point operation
in original design?

(A) 1.62

(B) 1.55

(C) 1.85

(D) 1.285

Answer: Marks to All

__Explanation:__
Speed up = Original time taken/ new time taken

Let us say the total number of instruction to be
executed is 100

By the ratio 2:3,

Floating point instructions N(Ft) = 40

Fixed point instructions N(Fd) = 60

Before enhancement:

Time taken to process a floating point instruction
T(Ft) = 2 units

Time taken to process a fixed point instruction T(Fd)
= 1 unit

Total time to execution, T(B) = N(Ft) * T(Ft) + N(Fd)
* T(Fd)

= 40×2 + 60×1 = 140 units.

After enhancement:

When speed of floating point processing is increased
by 20% means time to execute a floating point instruction is decreased by 20%.

Before T(Ft) was 2 units. Now, time taken to processes
a floating point instruction

T(Ft) = 2-2x20% = 1.6 units.

Similarly speed of fixed point processing increased by
10% means time to execute a fixed point instruction is decreased by 10%.

Hence, before T(Fd) was 1 unit. Now time taken to
process a fixed point instruction T(Fd)
= 1-1x10% = 0.9 units.

Total time to execute T(A) = 40×1.6 + 60x0.9 = 118
units

So, the speed up = T(B)/T(A) = 140/118 = 1.186

28. The initial
basic feasible solution to the following transportation problem using Vogel’s
approximation method is

(A) x

_{11}=20, x_{13}=10, x_{21}=20,
x

_{23}=20, x_{24}=10, x_{32}=10,
Total cost=180

(B) x

_{11}=20, x_{12}=20, x_{13}=10,
x

_{22}=20, x_{23}=20, x_{24}=10,
Total cost=180

(C) x

_{11}=20, x_{13}=10, x_{22}=20,
x

_{23}=20, x_{24}=10, x_{32}=10,
Total cost=180

(D) None of the above

Answer: D

__Explanation:__
Correct answer is

x

_{11}=20, x_{12}=10, x_{22}=10,
x

_{23}=30, x_{24}=10, x_{32}=20,
Total cost=180

29. 58 lamps are
to be connected to a single electric outlet by using an extension board each of
which has four outlets. The number of extension boards needed to connect all
the light is

(A) 29

(B) 28

(C) 20

(D) 19

Answer: D

30. Match the
following with respect to the Mobile Computing Architecture.

**List - I**

a. Downlink control

b. Radio communication data rate

c. The average duration of user’s stay in cell

d. FDDI bandwidth

**List - II**

1. 100 Mbps

2. Residency latency (RL)

3. Sending data from a BS to MD

4. 2-Mbps

**Codes :**

a b c d

(A) 2 1 4 3

(B) 3 4 2 1

(C) 4 1 2 1

(D) 4 3 1 2

Answer: B

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