SSA Chandigarh TGT Math Mock Test -3 - SSA Chandigarh MCQ

Initial area = L × B

New area = (100 + 20)% of L × (100 – 12.50)% of B = 1.05L × B

Hence, Option A is correct.

When integrating MS Word and Excel, the Word is usually the Client

Explanation:

• Integration: Integration refers to the process of combining or merging two or more software applications to work together.


• MS Word and Excel: MS Word is a word processing software, while MS Excel is a spreadsheet software.


• Client-Server Model: In computing, the client-server model is a distributed application structure that partitions tasks or workloads between the providers of a resource or service, called servers, and service requesters, called clients.


• Integrating MS Word and Excel: When integrating MS Word and Excel, the Word application is usually considered as the client.


• Functionality: MS Word acts as a client to request data or perform operations on the Excel application, which acts as the server.


• Examples: Some examples of integrating MS Word and Excel include importing data from Excel into Word for creating reports, generating mail merges using Excel as a data source, or embedding Excel charts or tables within Word documents.


• Benefits: Integrating Word and Excel allows users to combine the features of both applications to enhance productivity and create more comprehensive documents.

Therefore, the correct answer is C: Client.

The performance of a data communications network depends on several factors. Here are the key points:
Number of Users:
- The number of users accessing the network simultaneously can affect its performance.
- As the number of users increases, the network may experience congestion and slower speeds.
- Network capacity needs to be sufficient to handle the traffic generated by all users.
The Hardware and Software:
- The quality and efficiency of the hardware components used in the network infrastructure can impact performance.
- This includes routers, switches, cables, and other networking equipment.
- Similarly, the software used to manage and control the network plays a crucial role.
- Proper configuration and updates are essential to optimize performance.
The Transmission:
- The transmission medium used for data transfer, such as copper wires, fiber optic cables, or wireless connections, can affect network performance.
- The bandwidth and speed capabilities of the transmission medium impact data transfer rates.
- Interference or signal degradation can occur, leading to slower or unreliable connections.
All of These:
- All the mentioned factors (number of users, hardware and software, and transmission) collectively contribute to the overall performance of a data communications network.
- Neglecting any of these aspects can result in poor network performance and user experience.
In conclusion, the performance of a data communications network is influenced by the number of users, the quality of hardware and software components, and the characteristics of the transmission medium. Considering and optimizing these factors is crucial for maintaining an efficient and reliable network.

The network topology with bi-directional links between each possible node is called a Mesh topology.
Explanation:
In a Mesh topology, each node in the network is connected to every other node through individual bi-directional links. This means that there is a direct connection between each pair of nodes in the network.
Here are some key points about Mesh topology:
- Full Mesh: In a full mesh topology, each node has a direct connection with every other node in the network. This provides high redundancy and fault tolerance but requires a large number of physical connections.
- Partial Mesh: In a partial mesh topology, only some nodes have direct connections with other nodes. This reduces the number of physical connections required but still provides some redundancy and fault tolerance.
- Advantages: Mesh topology offers several advantages, including:
- High fault tolerance: If one link or node fails, there are alternative paths for communication.
- High scalability: It is easy to add or remove nodes without affecting the rest of the network.
- High security: Each node has its own dedicated connection, making it difficult for unauthorized access.
- High performance: Mesh topology allows for parallel and simultaneous data transmission between nodes.
- Disadvantages: However, there are also some disadvantages to using a Mesh topology:
- High cost: The implementation of numerous physical connections can be expensive.
- Complex management: With a large number of connections, managing and troubleshooting the network can be challenging.
- High redundancy: In a full mesh topology, there may be redundant connections that are not regularly utilized.
In conclusion, a Mesh topology provides a highly interconnected network where each node has a direct link to every other node in the network, allowing for efficient communication and high fault tolerance.

Fell foul of: to get into trouble because of failing to do what is required by (the law, a rule, etc.).
Run the rule over: examine cursorily for correctness or adequacy.
Strike a chord: cause someone to feel sympathy, emotion, or enthusiasm.
Stir up a hornets' nest: to do something which causes a lot of controversy or produces a situation which is extremely difficult to deal with.
Hence, the correct answer is option B. 

Note: Assume if we had “Someone was reading the Gita”, then active voice would be, The Gita was being read.
We can say that ,
The above given sentence is given in Passive Voice :-
Use structure “subject + auxiliary + past participle + by + object”
The Gita was being read by Sita.
Hence , option A is correct sentence .

ਸਹੀ ਉੱਤਰ ਹੈ , ਸਾਰਥਕ ਸ਼ਬਦ

Additional Information

• ਜਿਸ ਸ਼ਬਦ ਦੇ ਕੋਈ ਅਰਥ ਨਾ ਨਿਕਲਦੇ ਹੋਣ – ਨਿਰਾਰਥਕ
• ਜੋ ਬੇਮਤਲਬ ਖ਼ਰਚ ਕਰੇ – ਖ਼ਰਚੀਲਾ
• ਜੋ ਦੂਸਰੇ ਲੋਕ ਦਾ ਉਪਕਾਰ ਕਰੇ --ਪਰਉਪਕਾਰੀ

Hence, option C is correct.

School is a place designed to provide an adequate learning environment. In school, the opportunity a child gets to learn affects his cognitive development. The more opportunities a child gets, the better his cognition because he/she will be able to add to his/her mental capacities by learning through these opportunities. In school, during teaching-learning, many new concepts form, many new ideas develop, and many other mental processes take place.

Theory of Multiple Intelligence which describes eight different kinds of intelligence is propounded by an American cognitive psychologist 'Howard Gardner'.

Principle of continuity was given by Gottfried Leibnez, which states that 'Development is a never ending process'.

'बढ़ा चढ़ाकर बात करना' वाक्यांश के लिए उचित मुहावरा “नमक मिर्च लगाना” होगा।

नमक मिर्च लगाना का वाक्य प्रयोग-

तुमने उसे क्या कहा था और उसने तो पुरे गाव मे उसे नमक मिर्च लगाकर फैला दिया।

Given, f³(x) = ∫(0 to x)tf(t)dt
Differentiating throughout w.r.t x,
3f²(x) f′(x) = xf²(x)
⇒ f′(x)= x/3
​So, f(x)=∫(0 to x) x/3 dx = (x²)/6
Area = ∫f(x)dx=∫(0 to 3) (x²)/6 dx
= {(x³)/18}(0 to 3)
= 3/2

t = ln(tan x)
dt = (sec² x)/(tan x) dx
=> (1/cos^2x) * (cosx /sinx) dx = dt
dt = dx/(cosx sinx)
I = ∫t dt
= [t²]/2 + c
= 1/2[ln(tanx)]² + c

f(x) = max(x, x+1, 2-x)
y = 2-x
y = x+1
Comparing both the equations, we get
2 - x = x + 1
x = ½
y = 2 - x
y = 2 - (½)
y = 1/3

f (x) is discontinuous when x² - 3|x| + 2 = 0
⇒ |x|² - 3|x| + 2 = 0 ⇒ |x| = 1, 2

Since the number of terms is finite, just differentiate term by term using the power rule.
 dy/dx = 0 + 1 + 2x/2! + 3x2/3! + ... + nx^n-1/n!
dy/dx = 1 + x + x2/2! + ... + xn-1/(n -1)!
Compare dy/dx to y and note that the last term of y, which is xn/n!, is not in dy/dx, while all the other terms of y are in dy/dx.
Then dy/dx = y - xⁿ/n! 
⇒ dy/dx + xⁿ/n! = y

For the relation x = qy+r, 0 ⩽ r < y So, here r lies between 0 ⩽ r < 6. Hence r = 0, 1, 2, 3, 4, 5

xy = 2
x dy/dx + y = 0
x dy/dx = -y
dy/dx = -y/x

The conditional probability of an event E, given the occurrence of the event F is given by :

xe^x = t
(xe^x + e^x) dx = dt
= e^x(x + 1) dx = dt
= ∫dt/sin^2t
= ∫cosec^2t dt
= -cot(xe^x) + c

Let R be the feasible region for a linear programming problem,and let Z = ax + by be the objective function. If R is bounded, then the objective function Z has both a maximum and a minimum value on R and each of these occurs at a corner point (vertex) of R.

let P and Q be the points on the given lines, respectively. then the general coordinates of P and Q are: 
P(k+3, -2k+5, k+7) and Q (7m-1, -6m-1, m-1)
therefore the direction ratios of PQ are (7m-k-4,-6m+2k-6, m-k-8)
now PQ will be the shortest distance if it is perpendicular to both the given lines, therefore by the condition of perpendicularity,
1(7m-k-4) -2(-6m+2k-6) + 1(m-k-8) = 0  (1)
7(7m-k-4) -6(-6m+2k-6) + 1(m-k-8) = 0  (2)
now solving (1) and (2),
m=0 and k = 0
hence the points are P(3,5,7) and Q (-1,-1,-1), therefore the shortest distance between the lines
PQ = sqrt((3+1)²+(5+1)² +(7+1)²) 
= sqrt(16+36+64) = sqrt(116) 
= 2sqrt(29)

f’(x) > 0 
=> f(x) is increasing
f’’(x) < 0  => f(x) is convex