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HTET TGT Maths Mock Test - 7 - HTET MCQ


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30 Questions MCQ Test - HTET TGT Maths Mock Test - 7

HTET TGT Maths Mock Test - 7 for HTET 2024 is part of HTET preparation. The HTET TGT Maths Mock Test - 7 questions and answers have been prepared according to the HTET exam syllabus.The HTET TGT Maths Mock Test - 7 MCQs are made for HTET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for HTET TGT Maths Mock Test - 7 below.
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HTET TGT Maths Mock Test - 7 - Question 1

Learning can be enriched if:

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 1

Learning can be enhanced if situations from the real world are brought into the class in which students interact with each other and the teacher facilitates. Children grasp easily when a teacher makes them understand the concepts by relating them to real-life experiences. In this way, they not only create interests in their subject but also retain concepts for a longer time.
Hence, the correct answer is, 'Situations from the real world are brought into the class in which students interact with each other and the teacher facilitates.'

HTET TGT Maths Mock Test - 7 - Question 2

Which of the following statements cannot be considered as a feature in the process of learning?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 2

The process of learning can take place everywhere. It is not limited to a particular place, it can take place in a formal setup or in the informal or non-formal setup. Non-formal setup does not require any curriculum, syllabus, etc whereas formal setup requires curriculum, syllabus, etc. Learnings in educational institutions are known as formal learning. Learning is a comprehensive, goal-oriented process.
Hence, the correct answer is, 'Educational institutions are the only place where learning takes place.'

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HTET TGT Maths Mock Test - 7 - Question 3

A teacher because of his/her democratic nature, allows students to sit all over the class. Some sit together and discuss or do group reading. Some sit quietly and read themselves. A parent does not like it. Which of the following is the best way to handle the situation?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 3

A teacher having a democratic nature permits students to sit all over the class in which some sit together and discuss or do group reading. Some sit quietly and read themselves. If a parent does not like this behaviour of a teacher then they should show trust in the teacher and discuss the problem with the teacher. Maybe the teacher is doing this with positive hidden motives.
Hence, the correct answer is, 'Parents should show trust in the teacher and discuss the problem with the teacher.'

HTET TGT Maths Mock Test - 7 - Question 4

Which one of the following may be used to develop creativity among the students?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 4

Assignments are the basis of academic and didactic interaction or communication between the distance learner and the distance teacher.

  • Assignments enable the students to ensure that they have actually learned what they are expected to learn from their course materials.
  • The actual teaching-learning takes place through assignments.
  • The assignments, when handled properly, reinforce learning through quick communication and feedback from the teacher.
  • The assignments provide for continuous assessment of learners.
  • It is used to develop creativity among the students.
  • Creativity involves thinking that aims at producing ideas or products that are relatively novel and that are, in some respect, compelling.
  • They also provide an opportunity for the learner to improve himself in the light of the feedback as discussed earlier.
  • Assignments support and facilitate student learning by enabling students to apply their knowledge and skills.

Thus, it is concluded that providing assignments may be used to develop creativity among the students.

HTET TGT Maths Mock Test - 7 - Question 5
सज्जन- के लिए सही संधि विच्छेद को चुनिए I
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 5

सज्जन- के लिए सही संधि विच्छेद: सत्+जन

  • सज्जन का संधि विच्छेद = सत् + जन, जिन व्यंजनों में परिवर्तन के कारण संधि है = त्/द् + ज = ज्ज
  • सज्जन - सत् + जन

Key Pointsयदि दन्त्य स् या त् वर्ग से पहले या बाद में तालव्य ‘श’ या च वर्ग का कोई एक वर्ण आये तो दन्त्य ‘स’ का तालव्य ‘श’ में और त् वर्ग को च् वर्ग में बदल देते हैं।

  • व्यंजन संधि के उदाहरण :-
    • सत् + जन = सज्जन
    • जगत् + जननी = जगज्जननी
    • उद् + ज्वल = उज्जवल

Additional Information

HTET TGT Maths Mock Test - 7 - Question 6
वचन की दृष्टि से शुद्ध वाक्य है-
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 6

वचन की दृष्टि से शुद्ध वाक्य है- बालक पढ़ता है।

Key Pointsअन्य विकल्प

Additional Informationवचन की अशुद्धियों वाले कुछ अन्य वाक्य

HTET TGT Maths Mock Test - 7 - Question 7
निम्नलिखित में से एक 'दूध' का पर्यायवाची शब्द है
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 7

पीयूष शब्द दूध का पर्यायवाची है।

Key Points

पीयूष

  • पुल्लिंग
    • अमृत, सुधा।

दूध का पर्यायवाची शब्द-

  • दुग्ध, गोरस, क्षीर, दोहज, पय, पीयूष, स्तन्य।
Additional Information

पीयूष के पर्यायवाची-

  • अमिय, अमी, अमृत, सुधा, सोम
  • आबेहयात, देवान्न, देवाहार, जीवनोदक।

जल के पर्यायवाची-

  • वारि, पानी, नीर, सलिल, तोय, उदक
  • अंबु, जीवन, पय, अमृत, मेघपुष्प।

घृत का पर्यायवाची-

  • घी, अमृत, नवनीत।

हलाहल का पर्यायवाची

  • गरल, कालकूट, माहुर, विष, जहर
HTET TGT Maths Mock Test - 7 - Question 8

Direction: In the following question, the sentences have been given in Active/ Passive Voice. From the given alternatives, choose the one that best expresses the given sentence in Passive/ Active Voice.

It is your duty to make tea at eleven O’clock.

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 8

We can say that ,
The above given sentence is given in Passive Voice :-
You are supposed to make tea at eleven O’clock.
Hence , option C will be correct answer .

HTET TGT Maths Mock Test - 7 - Question 9

If x is 75% of y, y is what percent of x?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 9

x : y = 75 : 100

Hence, Option C is correct.

HTET TGT Maths Mock Test - 7 - Question 10

Direction: If a Paper (Transparent Sheet) is folded in a manner and a design or pattern is drawn. When unfolded this paper appears as given below in the answer figure. Choose the correct answer figure given below.

Find out from the four alternatives as how the pattern would appear when the transparent sheet is folded at the dotted line.

Question Figure

Answer figure

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 10

If you fold the paper in upward direction from dotted line, the upper line of the figure will be near to middle line. So it will make s triangle. Please take a transparent paper and draw a similar figure and fold it.

HTET TGT Maths Mock Test - 7 - Question 11
Sirsa district occupies which position in population of Haryana state as per the 2011 census?
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 11

The correct answer is 8th position.

Key Points

  • Sirsa district occupies 8th position in population size during the 2011 census.

  • In terms of density, Sirsa ranks at last position in the entire Haryana with a density of 303 as per sq km.
  • The sex ratio of Sirsa district is 897 females per 1000 males.
  • The district stands at 4th place amongst the 22 districts of the State. The Sex Ratio in rural is 898 and it is better than the urban Sex Ratio which is 896 during the 2011 Census.
HTET TGT Maths Mock Test - 7 - Question 12

Find out which answer figures will exactly make up the question figure?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 12

HTET TGT Maths Mock Test - 7 - Question 13
Recently who has been made the General Secretary of the Haryana Wrestling Association?
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 13

The correct answer is Rakesh Singh.

Key Points

  • Rakesh Koch -
    • He is a resident of Bahadurgarh, Haryana
    • He has been elected General Secretary of the Wrestling Association of Haryana.
    • He has been associated with sports for a long time and is also the director of the Model School located in Bahadurgarh.

Additional Information

  • ​Santosh Sharma -
    • This is the head constable of Panipat Police.
    • He has recently brought laurels to the state of Haryana by winning the gold medal in the World Police Sports Competition.
  • Preetpal Sangwan -
    • ​He is the Haryana police officer who has been awarded the Police Medal.
HTET TGT Maths Mock Test - 7 - Question 14

Suraj can complete a work in 60 days. In how many days can he complete 80% of the work with 75% of his efficiency?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 14


Hence, Option B is correct.

HTET TGT Maths Mock Test - 7 - Question 15

'Reading' is related to 'knowledge' in the same way as 'Work' is related to:

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 15

As 'Knowledge' is achieved by 'Reading' in the same way 'Experience' is achieved by 'Work'.

HTET TGT Maths Mock Test - 7 - Question 16

The length of a rectangle increases by 20% while its breadth decreases by 12.5%. What is the percentage increase/decrease in the area of the rectangle?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 16

Initial area = L × B

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

Hence, Option A is correct.

HTET TGT Maths Mock Test - 7 - Question 17

For every line l and for every point P not lying on it there exist a unique line which passes through P and is
................. to l.

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 17

HTET TGT Maths Mock Test - 7 - Question 18

Find the probability of getting a number greater than 2 when a die is thrown

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 18

Probability of getting a number greater than 2 is
number greater than 2 = 4
total outcomes = 6
so, 4/6
=2/3

HTET TGT Maths Mock Test - 7 - Question 19

The value of m, if a = 3 and b = 1 is the solution of equation 2a + 3b = m is:

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 19

In the given question we have  a=3,b=1 the given equation is 2a + 3b=m

By substituting the values of a,b in the given  equation, we get ,

 2 x 3 + 3 x 1 = m 

6 + 3 = m

9 = m 

So option A is the correct answer. 

 

HTET TGT Maths Mock Test - 7 - Question 20
Which of the following can enhance critical thinking in middle school students?
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 20

Thinking is the basis of all cognitive activities or processes and is unique to human beings. It involves the manipulation and analysis of information received from the environment. There are different kinds of thinking styles which include creative, logical, concrete thinking, etc.

Key Points Critical thinking is a process that challenges an individual to use reflective, reasonable, rational thinking to gather, interpret, and evaluate information in order to derive a judgment.

Few methods that a teacher can think of in order to inculcate the skill of critical thinking in middle school students:

  • Engage students in problem-solving situations by providing problems that have multiple solutions.
  • Do reward students who come up with innovative ideas.
  • Develop the quality of persistence. Do not get bored while solving problems.
  • Asking Questions to the students related to the topic so that they can reply by thinking divergently in a critical way.
  • Develop a risk-taking ability and engage in creative activities.
  • Avoid the rigid and fixed patterns of solving problems.
  • Promote interaction with teachers and among peers.

Thus we can say that critical thinking in middle school students can be enhanced by Asking students to discuss topics in groups and come up with questions.

Hint

  • The lecture method of teaching can never promote their thinking, it makes them bored and may impact their learning in a negative way.
  • Discussions among the students provide many opportunities to learn the concept in a different way and also give they the can analyze the thoughts of other students so that we can say that discussion can also improve their critical thinking.
  • Learning by textbooks, and by memorization never promotes critical thinking of the students.
HTET TGT Maths Mock Test - 7 - Question 21

In the given figure, BO and CO are the bisectors of ∠B and ∠C respectively. If ∠A = 500, then ∠BOC = ?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 21

a+b+c = 180
50+b+c= 180
b+c = 130 ............(1)
divide equation (1) by 2 
1/2(b+c) = 65...........(2)
now in triangle obc
o+1/2(b+c) = 180
o+65= 180 ( from (2))
o= 180-65= 115 

HTET TGT Maths Mock Test - 7 - Question 22

An ‘ogive’ is used to determine

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 22

An give, also known as a cumulative histogram, is a graph that is used to determine the number of data points that are equal to or below a certain value in a data set.It is a plot of cumulative values, rather than a plot of the values themselves. Median is determined by finding the (n/2)th value and then dropping it to the x axis.

HTET TGT Maths Mock Test - 7 - Question 23

The horizontal distance between two towers is 140 m. The angles of depression of the first tower, when seen from the top of the second tower is 30°. If the height of the first tower is 60 m. Find the height of the second tower.

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 23

The second tower is smaller than the first tower so let the height of the first tower is h So a part of it is equal to 60m so the remaining height is h-60 m
Tan 30=perpendicular/base

HTET TGT Maths Mock Test - 7 - Question 24

On a square handkerchief, nine circular designs each of radius 7cmare made. The area of the remaining portion of the handkerchief is

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 24

Here Side of square ABCD = AB = 3 x diameter of circular design
⇒ AB = 3 x (2 x 7) = 42 cm
∴ Area of square = 42 x 42 = 1764 cm2
And Area of one circular design   
And Area of one circular design
∴ Area of 9 circular designs = 154 x 9 = 1386 sq. cm
∴ Area of remaining portion of handkerchief = 1764 - 1386 = 378 sq. cm

HTET TGT Maths Mock Test - 7 - Question 25

The solution of the trigonometric equation 

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 25


cos2θ = 3(cot2θ-cos2θ)
4cos2θ = 3cot2θ
4=3(1/sin2θ)
sin2θ = 3/4
sinθ = √3/2
θ = 60

HTET TGT Maths Mock Test - 7 - Question 26

Read the following text and answer the following questions on the basis of the same:

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto and Ria’s parents own a Toyota Liva. Both the families decided to go for picnic to Somnath temple in Gujarat by their own cars. Nidhi car travels x km/h when Ria’s car travels 5 km/h more than Nidhi’s car Nidhi’s car took 4 hours more than Ria’s car in covering 400 km.

Q. What will be the distance covered by Ria’s car in two hours?
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 26
We know that distance = Speed × time

= (x + 5) × 2 = 2(x + 5) km

HTET TGT Maths Mock Test - 7 - Question 27

The quadratic equation  has

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 27

As, discriminant (b2 - 4ac) of the equation is negative. Therefore, no real roots.

HTET TGT Maths Mock Test - 7 - Question 28
Which of the following is least likely to impact teaching-learning in mathematics?
Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 28

Mathematics focuses on developing an understanding of numbers, shapes, and patterns by using the techniques of problem-solving and logical reasoning.

  • The mathematical curriculum treats mathematics both as a tool for practical utility as well as a discipline that develops reasoning and analytical abilities.

Key Points

  • The teacher should adopt teaching methods that encourage the students to actively participate in the learning process and build the concepts through direct experiences to facilitate the permanent learning.
  • Firstly, he tries to know the best ways with which individuals learn in class so that he can use those methods and techniques frequently in the class to stimulate the interest of students in learning.
  • Such as there should be wide use of the play-way method in teaching mathematics at the primary level as they are unable to concentrate for a longer period. Also, they enjoy playing with peers and in play way method, they can learn and enjoy as well.
  • Collaborative learning is a synchronized process in which students attempt to learn something together. They work as a team that develops the team spirit, feeling of collaboration, and make them good communicators as well.
  • The use of a collaborative learning approach should be promoted in mathematics class that will help a teacher to develop social interdependence and participation among students and will help in removing the communication gap among students.
  • It is very important for a teacher to assess the learning of students time-to-time so that the learning process can be modified further to make the learning a fun experience.
  • Assessment is mainly to identify the areas for improvement in the learning process and it can be used to determine how students are learning, what's difficulties they are facing, so that if there a need, the teacher can adjust their teaching methodologies.
  • The teacher should analyze the output of the assessment to know where students need remedy and where they achieved a certain set of skills and knowledge, also to know if students are understanding his teaching strategies or he needs to change or modify his teaching styles.

Hint

  • The crude methods of assessment are the simple, basic, and rough methods of assessment that are used to get a rough idea about the knowledge of students.
  • It encourages the perception of mathematics as mechanical computation and emphasizes upon memorization of formulas.

Hence, it is concluded that crude methods of assessment are least likely to impact teaching-learning in mathematics.

HTET TGT Maths Mock Test - 7 - Question 29

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If Sn is the sum of the first n terms of an A.P., then its nth term an is given by an =Sn - Sn - 1 .

Reason : The 10th term of the A.P. 5, 8, 11, 14, .......... is 35.

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 29
Assertion (A) is true but reason (R) is false.

a10 = a + 9d

= 5 + 9(3) = 5 + 27 = 32

HTET TGT Maths Mock Test - 7 - Question 30

Direction: Child labour refers to any work or activity that deprives children of their childhood. It is a violation of children's rights. This can harm them mentally or physically. It also exposes them to hazardous situations or stop them from going to school. Naman got data on number of child labours (in million) in different country that is given below.

Q. Which country has the lowest child labour?

Detailed Solution for HTET TGT Maths Mock Test - 7 - Question 30
According to data, United States has lowest child labour i.e. 800.000.
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