SSA Chandigarh TGT Math Mock Test -1 - SSA Chandigarh MCQ

Hence, Option C is correct.

An input device used to move the pointer (cursor) on screen. The major pointing device is the mouse for the desktop computer and the touchpad for the laptop, although many road warriors bring along a mouse. Pointing sticks are available on some laptops, and a small number of users prefer trackballs over the mouse.

The program that interacts with the inner part called kernel is known as Shell. Here is a detailed explanation:
Definition:
The Shell is a program that acts as an interface between the user and the operating system kernel. It allows users to interact with the operating system by executing commands and managing the system resources.
Key Points:
- The Shell provides a command-line interface (CLI) or a graphical user interface (GUI) for users to interact with the operating system.
- It interprets the commands entered by the user and executes them by communicating with the kernel.
- The Shell handles input/output redirection, command execution, file management, and other system operations.
- It provides features like command history, command completion, and scripting capabilities.
- Different operating systems have different types of shells, such as Bash (Bourne Again SHell) on Linux, PowerShell on Windows, and Terminal on macOS.
- The Shell also allows users to run scripts, which are sequences of commands stored in a file.
- It acts as an intermediary between the user and the kernel, translating user commands into instructions that the kernel can understand and execute.
Example:
Let's say a user wants to create a new directory. They can use the Shell by typing a command like "mkdir new_directory". The Shell will interpret this command and send a request to the kernel to create the directory. The kernel will then carry out the requested operation and inform the Shell of the result. The Shell will then display the appropriate message to the user.
Therefore, the correct answer is D: Shell.

Malafide case is one which is undertaken in a bad faith.

If a student passes a comment, then the teacher must ignore the comment and continue taking class. 

All exams must be conducted for the backward children. Emphasis must be paid on providing proper education to them so that they can easily face all examinations.

Socialisation of a child can be measured by social welfare method. 

The triarchic theory of intelligence is also called the three forms of intelligence. Based on this theory, research on human intelligence take a more cognitive approach. 
Sternberg explained only three types of intelligence: Componential or analytical sub theory, Experiential or creative sub theory, and Contextual or practical sub theory. 
Hence, the correct answer is, 'Social.'

Listening skills of the students are improved because students listen to stories with full interest and enjoy them.

Conditions of Rolle’s Theorem are satisfied by f(x) in [2,3].Hence there exist atleast one real c in (2, 3) s.t. f ‘(c) = 0 . Therefore , the set S contains atleast one element

Both  y² = x³ and |y| = 2x are symmetric about y – axis and on solving them we get :

sinA + cosA = √2(sinA/√2+cosA/√2)
=√2(sinAcos(π/4)+cosAsin(π/4))
=√2sin(A+π/4)
by using sin(A+B) formula

f (x) = mx + c is strict decreasing on R 
if f ‘ (x) < 0 i.e. if m < 0 .

The line makes 30o with z-axis

Since it is in z-x axis the angle made with y-axis is 90

And angle made by x-axis is 60

Therefore direction cosines are

1/2, 0, √3/2

The correlation between x and y is positive correlation because it is a correlation where if one variable increases, the other also increases, and if one variable decreases, the other also decreases.

If A = [a_ij]_2x2 where a_ij = i + j, then, 

Since x is the square of y in relation R.
i.e. option D is correct.

• P contains {0, 1, 2, 3, 4} and Q contain natural numbers which start with 1 and P = {0, 1, 2, 3, 4} Q = {1, 2, 3}
• Here P isn't a subset of Q because all the elements of P are not in Q.

Square brackets [a, b] implies that values of a and b should be included in the range of x i.e., a ≤ x ≤ b.

Let I = ∫e^x . cos 3x dx
⇒ I = cos 3x × ∫e^x dx − ∫[d/dx(cos 3x) × ∫e^x dx]dx
⇒ I = e^x cos 3x − ∫(− 3 sin 3x . e^x)dx
⇒ I = e^x cos 3x + 3∫sin 3x . e^x dx
⇒ I = e^x cos 3x + 3[sin 3x × ∫e^x dx − ∫{ddx(sin 3x) × ∫e^x dx}dx]
⇒ I = e^x cos 3x + 3[sin 3x . e^x − ∫3 cos 3x . ex dx]
⇒ I = e^x cos 3x + 3 ex . sin 3x − 9∫e^x . cos 3x dx
⇒ I =  e^x cos 3x + 3 e^x . sin 3x − 9I
⇒ 10I =  e^x cos 3x + 3 e^x . sin 3x
⇒ I = 1/10[e^x cos 3x + 3 e^x . sin 3x] + C

Probability that first and second student can solve
=0.7×0.5=0.35
Probability that first can solve and second cannot solve
=0.7×0.5=0.35
Probability that first cannot solve and Amisha can solve
=0.3×0.5=0.15
Therefore, probability that at least one of them will solve
=0.35+0.35+0.15 = 0.85
=> 85/100
= 17/20

The probability that both occur simultaneously is 1/6 and the probability that neither occurs is  1/3
Let P(A)=x, P(B)=y
Then P(A)×P(B) = ⅙ becomes xy = 1/6
​And [1−P(A)][1−P(B)]=1/3 becomes (1−x)(1−y)=1/3
​On Solving for x and y, 
we get x=1/3 or x=1/2 which is the probability of occurrence of A.

The transpose of the given column matrix is a row matrix with the same elements in the same order. So, the transpose of the given matrix is ([4, -1, 2]), which matches option B.

Eliminating y, we get :

Required area:

We need to find the L.C.M of 40, 42 and 45 cm to get the required minimum distance.
40 = 2×2×2×5
42 = 2×3×7
45 = 3×3×5
L.C.M. = 2×3×5×2×2×3×7 = 2520

Distance from origin = 3p