HTET TGT Maths Mock Test - 1 - HTET MCQ

Schools act as an agent of socialization through the hidden curriculum. According to sociologists, the hidden curriculum is an unintended result of education. It is the process by which the norms and values of a society are taught to children, alongside the expectations of their particular society.

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

Determinants of Individual differences in human beings relate to both heredity and environment interacting together. By heredity we mean the influence of factors inherent in the child himself from the time he is conceived. Environment also plays a key role in the individual's development.

Action research in education can be defined as the process of studying a school situation to understand and improve the quality of the educative process. It is an attractive option for teacher researchers, school administrative staff, and other stakeholders in the teaching and learning environment to consider. . It provides practitioners with new knowledge and understanding about how to improve educational practices or resolve significant problems in classrooms and school. 

'Education-of-all-in-schools-for-all' is a tagline for Inclusive education.
Inclusive education is a platform that promotes and believes that every child should get equal opportunity irrespective of caste, creed, colour, religion and whether a child is a normal or special case. 
It mainly focuses on providing education to special children, along with children with non-special needs. It welcomes special-needs children to promote equality.
Hence, the correct answer is, 'Inclusive education.

Emotional intelligence is a type of ability to manage and understand a person's emotions. People who possess a high degree of emotional intelligence are aware of what they are feeling. People who possess a low degree of emotional intelligence remain confused about their emotions. Empathising is associated with emotional intelligence. It is the ability to understand the feelings of another person.
Hence, the correct answer is, 'Empathising.'

Lawrence Kohlberg, an American psychologist, has propounded the 'Theory of Moral Development'.

• He has made a systematic study of moral development in his theory that is categorized into 3 levels and 6 stages. 

Explanation:

The analogy can be understood as follows:

- A sculptor creates a statue
- A poet creates a verse

In both cases, the artist creates a piece of art. The sculptor works with physical materials to create a statue, while the poet uses words to create a verse. Therefore, the correct option to complete the analogy is "Verse" (Option C).

Esteemed means regarded with respect, honored, prestigious

The esteemed panel discussed crucial issues on a televised debate

The esteemed judge ruled in the favor of convict due to lack of evidence

One word substitution is Intellectual.

Expert: A person who is very knowledgeable about or skillful in a particular area.

Intellectual: Intelligent; knowledgeable.

Snob: A person with an exaggerated respect for high social position or wealth who seeks to associate with social superiors and looks down on those regarded as socially inferior.

Literate: Able to read and write.

U is the mother of P and R is the brother of P. So, U is mother of R.

Step 1: Determine Sunny's Work Rate

• Sunny's Completion Time: 15 days to complete the work.
• Sunny's Work Rate:
  • Sunny can complete 1 work in 15 days.
  • Therefore, Sunny's work rate is 1/15 work per day.

Step 2: Calculate Bobby's Work Rate

• Bobby's Efficiency: Bobby is 60% as efficient as Sunny.
• Convert Efficiency to Fraction:
  • 60% = 60/100 = 3/5.
• Bobby's Work Rate:
  • Bobby's rate = (3/5) * (1/15) = 3/75 = 1/25 work per day.

Step 3: Determine the Number of Days Bobby Takes to Complete the Work

• Total Work: 1 work.
• Bobby's Daily Contribution: 1/25 work per day.
• Number of Days Required:
  • Days = Total Work / Bobby's Work Rate = 1 / (1/25) = 25 days.

The correct answer is Safidon.Key Points

• The ancient city of Haryana Sarpadaman is known as safidon.
• Safidon was discovered in the fourteenth century by the Mughal King named Firoz Shah Tughlaq, he was one of the visionary rulers who discovered the place.
• He wanted to build a canal passing through the river Yamuna to jind.
• When Timur attacked India he attacked Punjab and the parts of Haryana but this place was safe from his hands as it wasn’t that talking.

Additional Information

The correct answer is 2,53,51,462.

Key Points

• Population Census 2011 published by the Government of India for the state of Haryana shows that the population of Haryana has increased by 19.90% in this decade (2001-2011) as compared to the previous decade (1991-2001).
  • Haryana is a state in India with a population of 2.54 crores.
  • The population of Haryana state is 25,351,462.
  • The density of Haryana state is 573 per sq. km.
  • Haryana state is spread over an area of ​​44,212 sq. km.

Additional Information

• Literacy rate of Haryana census 2011:
  • Total Literacy: 76.64%
  • Male Literacy: 85.38%
  • Female Literacy: 66.67%

From Statement 1:

We have, S sits third to the right of N and third to the left of M.

 From the statement, M sits at the extreme right end.

From Statement 2:

We have, X sits in the middle of the line.

Y sits second to the right of X.

Z sits fifth to the left of W, who is the neighbor of Y.

From the statement, W sits at the extreme right end.

Hence option B is correct.

The correct answer is Bhim Award.

Key Points

• The Bhim Award is the highest sports honor given by the government of Haryana, India, for "outstanding performance in national and international competitions".
  • Each recipient of the Bhim Award receives a cash prize of Rs. 5,00,000.

Important Points

• Rani Laxmi Bai Award is conducted by the Department of Sports and Youth Affairs under the Government of Haryana. The award will be awarded a cash prize of INR 2,00,000 and other rewards.

(100 – 37.50)% of total employees = 450
62.50% of total employees = 450

Hence, Option C is correct.

5³ - 2³ - 3³​​​​​​​
= 125 - 8 - 27
= 90

Let the angles be x
As they are in ratio of 4:5, so we can write it in the form of 4x ,5x
We know supplementary angle =180°
so,According to the question
4x+5x = 180°
9x = 180°
x = 180° ÷ 9
x = 20°
so, 1 st angle = 4x = 4×20° = 80°
2 nd angle = 5x = 5×20° = 100°
PROOF
4x + 5x = 180°
4×20° +5×20° = 180°
80°+ 100°= 180°
180° = 180°

2 rectangles having same area may differ in their lengths. So they will not be congruent

To factorise the quadratic polynomial x² + 14x + 45, follow these steps:

• Identify two numbers that multiply to 45 and add up to 14.
• The numbers are 9 and 5.
• Rewrite the middle term: x² + 9x + 5x + 45.
• Factor by grouping:
  Group the first two and last two terms: (x² + 9x) + (5x + 45).
  Factor out the common terms: x(x + 9) + 5(x + 9).
  Combine to get: (x + 9)(x + 5).

Thus, the factorised form is (x + 9)(x + 5).

Given that PQRS and ABCD are rectangle and Q is the mid pt of AC.

Since PQRS and ABCD are rectangle, every angle would be of 90°.

Consider AD and PQ.

angle ADP = 90°
angle QPC = 90°

Now, angle ADP lies corresponding to angle QPC and are equal.

If corresponding angles are equal, then the lines are parallel


=> AD || PQ

Now consider ∆ADC.

Q is the midpoint of AC (Given)
AD || PQ (shown above)

We know that,
line drawn parallel from the midpoint of a side, to other side, bisects the third side.

Hence, P would be the midpoint of DC

Hence, DP = PC

We have first ten multiples of 6 as follows:
6,12,18,24,30,36,42,48,54,60

The basic structure of mathematics includes arithmetic, algebra, geometry, and trigonometry that helps in learning the techniques to handle abstractions and structures.

• The teaching of mathematics must develop attitudes to think, reason, analyze, and articulate logically.
• The nature of mathematics highly influences the nature of the teaching-learning process in mathematics.

Key Points

Nature of mathematics:

• Each mathematical concept can be described in the terms of precision which is one of the main characteristics of mathematics.
• Precision in mathematics deals with accuracy and exactness and leaves no scope for doubt and ambiguity. So, mathematics is considered the science of precision, accuracy, and exactness.
• Mathematics uses symbols, numbers, figures, and objects to form concepts, terms, signs, formulas, etc. It uses its own language to express complicated abstract ideas and generalizations to solve problems.
• Mathematics has universal applicability as mathematical knowledge is used in almost every aspect of our life such as money exchange, computing wages, determining areas of fields, and in construction of houses, etc.

Hint

• Mathematics involves intuitive methods of teaching-learning like learning through discovery which is a method of inquiry-based instruction.
• Intuitive methods are used in mathematics to develop the minds of students so that they can use their insight and intuition to go beyond the textbook to find relationships and organize mathematical structures.

Hence, it is concluded that "mathematics does not involve any intuitive method" is not correct with regard to the nature of mathematics.

⇒   We have the sequence, 1,2,3.......n
⇒   This is an AP, with the initial term a=1 and the common difference d=1.
∴   The sum of n terms of an AP is given by,


→   Arithmetic mean of n numbers a1​,a2​,a3​,a4​,...an​ is given by the formula

The graph of the linear equation x + y = 0 passes through the point (1,-1) because the co-ordinate of x and y axis satisfy the  given equation
x + y = 0
1 - 1 = 0
so we can say  (1,-1) is a solution of above equation

 Let G be the favourable outcomes of getting 10 of black suit then

⇒ n(G) = 2

Therefore,  P(G) 

We have a quadratic equation: 

If we have standard equation ax² + bx + c  then D = b² - 4ac

a= 2, b= -√5, c= 1

D = (-√5)² - (4x2x1)

D= 5 - 8

D = -3

As the value of D<0 so there is no real root

Surface area of a cube = 96 cm²
Surface area of a cube = 6 (Side)² = 96 ⇒  (Side)² = 16
⇒ (Side) = 4 cm
[taking positive square root because side is always a positive quantity]
Volume of cube = (Side)³ = (4)3 = 64 cm³
Hence, the volume of the cube is 64 cm³.