HTET TGT Maths Mock Test - 7 - HTET MCQ

A student of any class having a problem of  'visual deficiency' should be treated normally within the classroom and provided support through audio CDs. Children suffering from 'visual deficiency are unable to see, in that case, they should be provided adequate support through audio lectures so that they also gain the same level of understanding as other students.
Hence, the correct answer is, 'Treated normally in the classroom and provided support through audio CDs.'

Jean Piaget has proposed four stages in his cognitive development theory. The First stage is the sensorimotor stage which occurs from birth to 2 years, second is the pre-operational stage which occurs from 2 to 7 years of age, the third is the concrete operational stage which occurs from 7 to 11 years of age. This is the stage when a child begins to think logically about objects and events. Last is the formal operational stage which occurs above 12 years of age.
Hence, the correct answer is, 'Concrete operational stage.'

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.'

The reasoning is inherently a thinking process. Man has recourse to reasoning in order to obtain reliable knowledge. He attempts to comprehend the world around him by applying the faculty of reasoning. There are two types of reasoning deductive and inductive.

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

पीयूष शब्द दूध का पर्यायवाची है।

पीयूष

• पुल्लिंग
  • अमृत, सुधा।

दूध का पर्यायवाची शब्द-

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

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

The given sentence is in the active voice: "Why did you not agree to my proposal?"

The correct transformation of this sentence into the passive voice is: "Why was my proposal not agreed to by you?"

Therefore, the correct answer is option A: "Why was my proposal not agreed to by you?"

Use structure “subject + auxiliary + past participle ”
As per the given above sentence is given in Passive Voice.
You have been warned.
Therefore , required answer will be option A .

The correct answer is Kurukshetra.

Key Points

• Surya Grahan Fair:
  • This fair is held in Kurukshetra district.
  • It is held on the day of solar eclipse (July).
  • On this day devotees gather and take a holy bath.
  • After taking a holy bath they conducted devotional acts.
  • This fair is very famous all over India and people come from all the states to attend this fair.

As 'Ophthalmia' is a disease of 'Eye' in the same way 'Rickets' is the disease of 'Bone'.

Sum of 100 numbers =100×210=21000
Sum of 120 numbers =120×200=24000
Sum of 20 numbers =24000−21000=3000
∴ Average of 20 new numbers =3000/20=150

Hence, Option D is correct.

Sundays → 2nd, 9th, 16th, 23rd and 30th (5 Sundays)

Hence, Option C is correct.

Given number -        8 3 7 9 1 2

Descending order -  9 8 7 3 2 1

Hence, the position of only one digit, i.e. 7 remains unchanged.

All except White are colours of the' rainbow.

A cubic polynomial is a polynomial of the form . A cubic polynomial is a polynomial of degree 3. A univariate cubic polynomial has the form . An equation involving a cubic polynomial is called a cubic equation. A closed-form solution known as the cubic formula exists for the solutions of an arbitrary cubic equation.

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.

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 

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.

Sum of two solutions is zero ,so both are inverse of each other. So we have the solutions as a,-a,b.
(x-a)(x+a)(x+b)=(x²-a²)(x+b)=x³+bx²-a2x-a2b
pq=-a²b=r

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

We know those odd integers are 1, 3, 5, ...
So, it can be written in the form of 2q + 1, where, q = integer = Z
⇒ q = ..., -1, 0,1,2,3, ...
2q + 1 = ..., -3, -1, 1, 3,5, ...

Alternate Method
Let 'a' be given positive integer. On dividing 'a' by 2, let q be the quotient and r be the remainder.
By Euclid's division algorithm, we have
a = 2q + r, where 0 ≤ r < 2
⇒ a = 2q + r, where r = 0 or r = 1
⇒ a = 2q or 2q + 1
when a = 2q + 1 for some integer q, then clearly a is odd.

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.

In 2^nd quadrant, x-co-ordinate is negative and y-coordinate is positive.

Explanation:

Given Information:
- Two zeros of the cubic polynomial are 0.
- Therefore, the cubic polynomial can be written as ax^3 + bx^2 + cx + d = a(x - 0)(x - 0)(x - k) = ax^3 - akx^2 = ax^3.

Finding the value of c:
- Since the coefficient of the linear term in the polynomial is c, and two of the zeros are given to be 0, the sum of the zeros is 0 + 0 + k = -b/a.
- As k represents the remaining zero, this implies that k = -b/a.
- Since the sum of the zeros of a cubic polynomial is -b/a, the value of c cannot be determined from the given information.
- Therefore, the correct answer is c.​​​​

The two triangles are congruent by SAS congruency.

 ∴ x = 4 and 5 are the roots/solution of the given quadratic equation