It is the disadvantage or lack of property of a DFA that it cannot remember an arbitrarily such large amount of data which makes it incapable of accepting such languages like palindrome, reversal, etc.

Normalization is a process of organizing the data in database to avoid data redundancy, insertion anomaly, update anomaly & deletion anomaly.
Most commonly used normal forms
First normal form(1NF)
Second normal form(2NF)
Third normal form(3NF)
Boyce & Codd normal form (BCNF)

A is false: L1 is CSL and L2 is regular
L1-L2 means L1 intersection L2(complement) == CSL Intersect (regular complement)
Since regular is closed under complement hence regular complement= regular
So it is equal to CSL intersect regular which is equal to CSL
Option A says L1-L2 is not context free . Now as we get L1-L2 is CSL and every context free is also CSL, so L1-L2 can be CFL also.
Hence A is false.
Please note closure property gives worst case possibility Means CSL intersect regular is CSL it means in worst case it is CSL and hence it can be regular as well as CFL also but in worst case it must be CSL.
Similarly with other options

Step-1: Here, A we are getting A’ and B we are getting B’. So, A’+B’
Step-2: (A’+B’)’=AB
Step-3: (AB)’=A’+B’
Solution: NAND or NOR but in options they are not given NOR. So, Final result is NAND

v - e + f = 2
‘v’ is number of vertices and ‘e’ is number of edges
‘f’ is number of faces including bounded and unbounded
10 - 15 + f = 2
f = 7
There is always one unbounded face, so the number of bounded faces = 6

● A Turing machine is a mathematical model of computation that defines an abstract machine,which manipulates symbols on a strip of tape according to a table of rules.
● Despite the model's simplicity, given any computer algorithm, a Turing machine capable of simulating that algorithm's logic can be constructed.
● The machine operates on an infinite memory tape divided into discrete cells.
● The machine positions its head over a cell and "reads" (scans)the symbol there.
● Then, as per the symbol and its present place in a finite table of user-specified instructions, the machine (i) writes a symbol (e.g., a digit or a letter from a finite alphabet) in the cell (some models allowing symbol erasure or no writing), then (ii) either moves the tape one cell left or right (some models allow no motion, some models move the head), then (iii) (as determined by the observed symbol and the machine's place in the table) either proceeds to a subsequent instruction or halts the computation.

The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible

As we know any data type shows cyclic properties
In our example the data type is char data type , so if you will increase or decrease the char
variables beyond its maximum or minimum value respectively it will repeat same value
according to following cyclic order
So,
125+1= 126
125+2= 127
125+3=-128
125+4=-127
125+5=-126
125+6=-125
125+7=-124
125+8=-123
125+9=-122
125+10=-121

The Advanced Research Projects Agency Network (ARPANET) was an early packet-switching network and the first network to implement the protocol suite TCP/IP. Both technologies became the technical foundation of the Internet.

Shot noise is caused due to random behaviour of charge carriers. Shot noise is generated due to random emission of electrons from cathodes in electron tubes. In semiconductor devices, shot noise is generated due to random generation and recombination of electron-hole pairs

● Analog signal is a continuous signal and digital signal is a discrete signal.
● A sinusoidal signal is a continuous signal with respect to time.
● Therefore, sinusoidal signal is a analog signal.

The running time of Quicksort will depend on how balanced the partitions are. If you are unlucky and select the greatest or the smallest element as the pivot, then each partition will separate only one element at a time, so the running time will be similar to Insertion Sort.However, Quicksort will usually pick a pivot that is mid-range, and it will partition the array into two parts.

Size of is a special operator will return number of bytes of data types. By default system will take integer data type,if we are not specifying any data type. Total size is 4 bytes.

● Constant folding is the process of recognizing and evaluating constant expressions at compile time rather than computing them at runtime.It can more accurately propagate constants and simultaneously remove dead code
● Global optimization refers to finding the optimal value of a given function among all possible solution whereas local optimization finds the optimal value within the neighboring set of candidate solution.
● Loop optimization is the process of increasing execution speed and reducing the overheads associated with loops. It plays an important role in improving cache performance and making effective use of parallel processing capabilities. Most execution time of a scientific program is spent on loops; as such, many compiler optimization techniques have been developed to make them faster.
● Data-flow analysis is a technique for gathering information about the possible set of values calculated at various points in a computer program.

B trees need not be the binary tree. B trees may have more than 2 children. The order of B tree is maximum number of children a node can have.

→ Actual meaning of Antagonism is active hostility or opposition.
→ Antonyms are hostility, enmity, antipathy, dislike, hatred, aggression.

→ Hasten meaning is be quick to do something.
→ Antonyms are dally, dawdle, dillydally, drag, hang (around or out), lag, linger, loiter, poke, tarry, amble, lumber, plod, saunter, shuffle, stroll.

→ Camouflage meaning is the disguising of military personnel, equipment, and installations by painting or covering them to make them blend in with their surroundings.
→ Camouflage synonyms are costume, disguise, guise.

→ Yearn meaning is have an intense feeling of longing for something, typically something that one has lost or been separated from.
→ Yearn synonym is ache, covet, crave, desiderate, desire, die, hanker.

According to Diagram the circle is in the form of 360°
From that Diagram Expenditure incurred on Royalty is 15%
ஃ 360*(15/100) = 54°

Let’s C.P = x
M.P = 120 x / 100
From that question M.P of Magazine is = 180/-
Cost of the paper in a single copy = ?
From the above details we have to find out C.P first
180 x = x (120 x / 100)
After solving this
x = 150
Cost of the paper in a single copy
= 150 * (25/100)
= 37.50

Printing Cost=30,600/- that means 20% according to Diagram
Royalty cost=x
∴20 % →30,600
15% →x
Do Cross Multiplication
(20/100) * x=30,600 * (15/100)
x=22,950/-

According to Diagram
Printing Cost = 20%
Royalty Cost = 15%
How much percentage royalty cost is less than printing cost
((20-15) / 20 ) * 100 = 50/2 = 25%

In this question we have to verify from options, so we can easily find which one is same
P+Q in 2011 -----> 20+10 = 30
R+S in 2011 ------> 17+6 = 23
option A is wrong
P+Q in 2012 ----> 16+14 = 30
R+S in 2012 ----> 16+10 = 26
option B is wrong
P+Q in 2015 ---> 6+14 = 20
R+S in 2015 ---> 31+8 = 39
option C is wrong
So finally option D is correct.

Take the sum of all cars by years = (88+78+90+87+133) = 476
Average during the period = 476/6 = 79.33.
Year 2014 is approximately equal
option C correct.

From that table in 2014 total production of cars was 80.
So,
100% -----> 80
25% ------> x
(25 * 80) / 100 = 20.
From that table 20 cars are from Type S .

Twine, Cord, Yarn all are similar words.
Tape is Different one.