A thread can be enabled fiber operation by ________.

• A) GetCurrentFiber()
• B) CreateFiber()
• C) ConvertThreadToFiberEx()
• D) SwitchToFiber()

The scheduler will run the _________ priority _________thread when a processor becomes available.

• A) Lowest, ready
• B) Lowest, running
• C) Highest, running
• D) Highest, ready

In Finding a Process Id, the FindProcessId() obtains the ______ of the given job number.

• A) Job ID
• B) Process ID
• C) Handle ID
• D) Thread ID

How does Thread Local Storage (TLS) contribute to thread safety?

• A) By allocating a single TLS index for all threads.
• B) By allowing all threads to access each other's TLS arrays.
• C) By enabling shared data modification.
• D) By preventing threads from modifying each other's data.

Thread should not change the ___________ environment.

• A) Hard disk
• B) Process
• C) Integer
• D) RAM

Which of the following is an optimal situation?

• A) Every worker work as a separate thread on a separate processor
• B) · Every worker work with multiple processor on multiple processor
• C) Every worker work as a separate thread on a single processor
• D) Every worker work with multiple processor on single processor

Which of following thread will run first?

• A) Thread with THREAD_PRIORTY_NORMAL
• B) Thread with THREAD_PRIORTY__IDLE
• C) Thread with THREAD_PRIORTY_BELOW_NORMAL
• D) Thread with THREAD_ PRIORTY_ABOVE_NORMAL

A new fiber can be created using__________.

• A) GetFiber()
• B) ConvertThreadToFiber()
• C) CreateFiber()
• D) ConvertThreadToFiberEx()

When a thread exits, the thread __________ is deallocated and the handle referring to the thread is invalidated.

• A) List
• B) Stack
• C) Queue
• D) Array

Default stack size for thread is__________.

• A) 1 MB
• B) 1 Byte
• C) 1 Bit
• D) 1 KB

In Simpson’s 1/3 rule, we divide the interval of integration [a, b] into an ………………………number of sub-intervals.

• A) Prime
• B) Odd
• C) Even
• D) None of the given choices

Which of the following is the Global Error for Simpson’s 3/8 Rule while integrating
‘f(x) = Cosx’ in the interval of [0,pi] of equally spaced subinterval of width ‘h =pi/6’ and intermediate point x = pi/2?

• A) -pi/80
• B) 1
• C) pi/80
• D) 0

$$For\,the\,given\,data\,{\text{points}}\,(4,1.3),\,(8,1.5),\,and\,(12,1.9)\,\,the\,divide\,difference\,table\,will\,be\,given\,as$$

• A) $$\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{1.3}&{0.0062}&{} \\\ 8&{1.5}&{0.1}&{0.05} \\\ {12}&{1.9}&{}&{} \end{array}$$
• B) $$\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{1.3}&{0.05}&{} \\\ 8&{1.5}&{0.1}&{0.0062} \\\ {12}&{1.9}&{}&{} \end{array}$$
• C) $$\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{1.3}&{0.1}&{} \\\ 8&{1.5}&{0.35}&{0.0062} \\\ {12}&{1.9}&{}&{} \end{array}$$
• D) $$\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{1.3}&{0.1}&{} \\\ 8&{1.5}&{0.0062}&{0.05} \\\ {12}&{1.9}&{}&{} \end{array}$$

$$\begin{gathered} For\,the\,given\,divide\,difference\,table \hfill \\ \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 1&{2.2}&{0.4333}&{} \\\ 4&{3.5}&{0.2}&{ - 0.0389} \\\ 7&{4.1}&{}&{} \end{array} \hfill \\ the\,Newton's\,divide\,difference\,\,{\text{interpolation}}\,formula\,will\,be \hfill \\\ \end{gathered}$$

• A) $$y = f(x) = - 0.0389 + (x - 1)(0.4333) + (x - 1)((x - 4)(2.2)$$
• B) $$y = f(x) = 2.2 + (x - 1)(0.4333) + (x - 1)((x - 4)( - 0.0389)$$
• C) $$y = f(x) = - 0.0389 + (x - 1)(2.2) + (x - 1)((x - 4)(0.4333)$$
• D) $$y = f(x) = 2.2 + (x - 1)( - 0.0389) + (x - 1)((x - 4)(0.4333)$$

In Simpson’s 3/8 rule, we divide the interval of integration into n sub-intervals.
Where n is divisible by.....

• A) 3
• B) None of the given choices
• C) 4
• D) 2

$$\Delta = - - -$$

• A) None
• B) $$\frac{{E - 1}}{2}$$
• C) $E\,\, - \,\,1$
• D) $1 - E$

Given the following data x:1 2 7 11 y:6 10 13 37 Which formula is useful in finding the interpolating polynomial?

• A) None
• B) Newton’s backward difference interpolation formula
• C) Lagrange’s interpolation formula
• D) Newton’s forward difference interpolation formula

If the area under ‘f(x) = x’ in interval [0,2] is subdivided into two equal sub-intervals of width ‘1’ with right end points, then which of the following will be the Truncation Error provided that I(definite integral) = 2 and approximate sum = 3 ?

• A) 0
• B) 2
• C) 1
• D) -1

In Simpson’s 1/3 rule, the global error is of ………………

• A) O(h2)
• B) None of the given choices
• C) O(h4)
• D) O(h3)

Simpson’s 3/8 rule represents the area between the curve y = f(x) in the interval say [a,b] above x-axis by approximating the given curve by the ----------.

• A) Cubic curve through one point
• B) Cubic curve through four points
• C) Cubic curve through three points
• D) Cubic curve through two points