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UTET Paper 2 Mock Test - 9 (Science and Mathematics) - UTET MCQ


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30 Questions MCQ Test - UTET Paper 2 Mock Test - 9 (Science and Mathematics)

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UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 1

A 6-year-old girl shows exceptional sporting ability. Her parents are sportspersons, send her for coaching daily and train her on weekends. Her capabilities are most likely to be the result of an interaction between:

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 1

According to the question girl’s parents are sportspersons and she obtained training from coaching. Both of her parents are sportspersons. So, we can say that her capabilities depend on heredity and the environment.

  • The individual’s personality is the product of both heredity and environment.
  • Heredity determines a child's potential, while the Environment influences the extent to which that potential is achieved.

Role of Heredity and Environment:

So, from the points, as mentioned above, it becomes clear that the girl's capabilities are most likely to be the result of an interaction between heredity and the environment.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 2

According to Howard Gardener's theory of multiple intelligence, which of the following refers to the ability to discriminate complex inner feelings and to use them to guide one's own behavior?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 2

Howard Gardner, an American psychologist, proposed the Theory of Multiple Intelligences. In his book ‘Frames of Mind’, he pointed out that he did not believe there was "one form of cognition which cuts across all human thinking." There are multiple intelligences with autonomous intelligence capacities. " So, intelligence cannot be viewed as a single entity.

  • Gardner initially proposed eight types of intelligence, which later on he increased to nine. Thus, Gardner views each individual as a unique combination of various intelligences; hence, we cannot say that one is more intelligent and another is less intelligent.
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UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 3

Children in _______ stage have symbolic thinking but do not realize that actions can be reversed and their judgments are based on the immediate appearance of things. 

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 3

Children in Pre-operational stage have symbolic thinking but do not realize that actions can be reversed and their judgments are based on the immediate appearance of things. 
Cognitive development involves cognitive processes such as knowing, thinking, remembering, recognizing, categorizing, imagining, reasoning, decision-making, and so forth. Cognitive development proceeds as children mature. Piaget divided cognitive development into four stages.

  • Sensorimotor (Birth – 2 years) & Preoperational (2-7 years)
  • Concrete Operational (7-11 years) & Formal Operational (11 years and above)

​The Pre-operational Stage: This is the second stage of cognitive development which is basically a pre-logical stage as logic has not yet fully developed. It extends from two to seven years of age. They begin to think symbolically. During the Symbolic play, children can create mental images of objects and store them in their minds for later use. For example, such a child can draw a picture of or pretend to play with a puppy that is no longer present there.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 4

Which of the following are the major socialization agencies?
I. Community
II. Family
III. Same group
IV. Formal educational institution

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 4

Socialization may be defined more comprehensively as a life-long process of inculcation whereby an individual learns the principles, values, and symbols of the social system in which he participates and the expression of those values and norms in the roles he enacts. 

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 5

दिए गए पद्यांश के आधार पर पूछे गए प्रश्नों के उत्तर के लिए सबसे उपयुक्त विकल्प का चयन कीजिए।
आकाश का साफा बाँधकर 
सूरज की चिलम खींचता 
बैठा है पहाड़ 
घुटनों पर पडी है नदी चादर सी 
पास ही दाहक रही है 
पलाश के जंगल की अंगीठी 
अन्धकार दूर पूर्व में 
सिमटा बैठा है भेड़ो के गल्ले सा 
चानक बोला मोर 
जैसे किसी ने आवाज दी 
अजी सुनते हो 
चिलम औंधी 
धुँआ उठा 
सूरज डूबा 
अन्धकार छा गया।

Q. अन्धकार के सिमटकर बैठे होने का क्या कारण है:

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 5
  • उपर्युक्त पद्यांश के अनुसार अंधकार के सिमट कर बैठे होने का कारण "अभी सूर्यास्त नहीं हुआ है।"
  • उपर्युक्त पद्यांश में कवि ने अंधकार  को इस तरीके से सिमटता हुआ बताया है जैसे भेड़ों का झुंड एक तरफ सिमट जाता है।
UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 6

"छोटे उच्चारणों से, छात्र आसानी से लंबे वाक्यों को आगे बढ़ा सकते हैं।" इस कथन के साथ द्वितीय भाषा शिक्षण के किस सिद्धांत को जोड़ा जा सकता है?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 6

मूल वाक्य पैटर्न में वर्तमान भाषा:

  • वर्तमान, और छात्रों की यादें, दिन-प्रति-दिन बातचीत में उपयोग किए जाने वाले मूल वाक्य पैटर्न हैं। छोटे-छोटे उच्चारणों से छात्र आसानी से लंबे वाक्यों को आगे बढ़ा सकते हैं।
  • मातृभाषा सीखने के मामले में, छात्र की स्मृति अवधि विदेशी भाषा की तुलना में अधिक लंबे वाक्यों को बरकरार रख सकती है।
  • इस प्रकार एक विदेशी भाषा में प्राप्त सुविधा शिक्षार्थियों को ध्वनियों और शब्दावली वस्तुओं के संबंध में भाषा सामग्री की समझ का विस्तार करने में सक्षम बनाती है।

इसलिए, हम यह निष्कर्ष निकाल सकते हैं कि दूसरी भाषा के 'मूल वाक्य पैटर्न में वर्तमान भाषा' सिद्धांत को उपर्युक्त कथन से जोड़ा जा सकता है।

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 7

दिए गए गद्यांश को ध्यानपूर्वक पढ़िए तथा पूछे गए प्रश्न के उत्तर के लिए सबसे उपयुक्त विकल्प का चयन कीजिए।
राजभाषा का अर्थ राजा या राज्य की भाषा है। वह भाषा जिसमें शासक या शासन का काम होता है। राष्ट्रभाषा वह है जिसका व्यवहार राष्ट्र के सामान्य जन करते है। राजभाषा का क्षेत्र सीमित होता है। राष्ट्र भाषा सारे देश की संपर्क भाषा है। राष्ट्रभाषा के साथ जनता का भावात्मक लगाव रहता है क्योंकि उसके साथ जनसाधारण की सांस्कृतिक परम्पराएँ जुड़ी रहती हैं। राजभाषा के प्रति वैसा सम्मान हो तो सकता है, लेकिन नहीं भी हो सकता है, क्योंकि वह अपने देश की भी हो सकती है। किसी गैर देश से आये शासक की भी हो सकती है। लोकतांत्रिक व्यवस्था में आज हिन्दी राजभाषा के रूप में ही विराजित है। 14 सितंबर, 1949 ई. को भारत के संविधान में हिन्दी को मान्यता प्रदान की गई है। संविधान की अनुच्छेद 120 के अनुसार संसद का कार्य हिन्दी में या अंग्रेजी में किया जाता है। अनुच्छेद 210 के अंतर्गत राज्यों के विधानमंडलों का कार्य अपने-अपने राज्य की राजभाषा या हिन्दी में या अंग्रेजी में किया जा सकता है। 343 के अनुसार संघ की राजभाषा हिन्दी और लिपि देवनागरी होगी। इस भाषा का प्रसार तथा प्रचार के लिए महात्मा गाँधी का योगदान रहा है। अनुच्छेद 344 में राष्ट्रपति को शासकीय कार्य में हिन्दी भाषा का प्रयोग अधिक करने के लिए कहा गया है।

Q. संविधान के अनुच्छेद 120 के अनुसार : 

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 7
  • 14 सितंबर, 1949 ई. को भारत के संविधान में हिन्दी को मान्यता प्रदान की गई है।
  • संविधान के अनुच्छेद 120 के अनुसार संसद का कार्य हिन्दी में या अंग्रेजी में किया जाता है।
  • अनुच्छेद 210 के अंतर्गत राज्यों के विधानमंडलों का कार्य अपने-अपने राज्य की राजभाषा या हिन्दी में या अंग्रेजी में किया जा सकता है। 

संविधान - भारत का संविधान भारत की सर्वोच्च विधि है।

  • संसद - यह द्विसदनीय व्यवस्था है। भारतीय संसद में राष्ट्रपति तथा दो सदन- लोकसभा (लोगों का सदन) एवं राज्यसभा (राज्यों की परिषद) होते हैं।
  • मान्यता स्त्रीलिंग शब्द जिसका अर्थ मान्य होने का भाव या सिद्धान्त। 
UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 8

निर्देश: निम्नलिखित गद्यांश को ध्यानपूर्वक पढ़िए व प्रश्नों के उत्तर उपयुक्त विकल्पों द्वारा दीजिये- 
बारहसिंगा हिरण प्रजाति का बड़े आकार का शानदार वन्य पशु है। इस वन्य जीव को उत्तरप्रदेश की सरकार ने अपना राज्य पशु घोषित कर रखा है। दुर्लभ वन्य जीव होने के कारण इसे संकटग्रस्त सूची में रखा गया है। बारहसिंगा दुधवा राष्ट्र्रीय उद्यान, हस्तिनापुर अभ्यारण्य, असम के काजीरंगा राष्ट्रीय उद्यान और बंगाल के सुंदरवनों में भी पाया जाता है। मध्यप्रदेश के कान्हा राष्ट्रीय उद्यान में भी बारहसिंगा की दूसरी प्रजाति पाई जाती है। बारहसिंगा की कंधे तक की ऊँचाई 135 सेंटीमीटर होती है। इसका वजन लगभग 170 - 180 किलोग्राम तक होता है। यह प्रायः नम दलदली घास वाले क्षेत्रो में रहना पसंद करते है। बारहसिंगा प्रायः समूहों में पाए जाते है। इसके सींग 75 सेंटीमीटर लम्बे होते है। अधिकांश बारहसिंगो के सींगों में 10 से 14 तक शाखाएं होती है। अधिकतम 20 शाखाएँ वाले बारहसिंगा भी देखे गये हैं।

Q. बारहसिंगा किस राज्य का राजकीय पशु है?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 8

बारहसिंघा उत्तर प्रदेश राज्य का राजकीय पशु है।
गद्यांश से
"इस वन्य जीव को उत्तर प्रदेश की सरकार ने अपना राज्य पशु घोषित कर रखा है।"

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 9

फ़ैली खेतों में दूर तलक 
मखमल की कोमल हरियाली,
लिपटी जिससे रवि की किरणें 
चाँदी की सी उजली जाली।
तिनकों के हरे हरे तन पर 
हिल हरित रुधिर है रहा झलक,
श्यामल भू तल पर झुका हुआ 
नभ का चिर निर्मल नील फलक।
रोमांचित - सी लगती वसुधा 
आई जौ गेहूँ में बाली,
अरहर सनई की सोने की 
किंकिणियाँ है शोभाशाली।
उडती भीनी तैलाक्त गंध,
फूली सरसों पीली - पीली,
लो, हरित धरा से झाँक रही 
नीलम की कलि, तीसी नीली।
रंग - रंग के फूलो में रिलमिल 
हंस रही सखियाँ मटर खडी 
मखमली पेटियों सी लटकी 
छीमियाँ, छिपाए बीज लड़ी 
फिरती है रंग रंग की तितली 
रंग - रंग के फूलो पर सुंदर,
फुले फिरते हो फूल स्वयं 
उड़ - उड़ वृन्तो से वृन्तो पर।

Q. किसके पीले फूल अपनी तैलीय सुगंध बिखेर रहे है?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 9

उपर्युक्त पद्यांश के अनुसार सरसों के पीले फूल अपनी तैलीय सुगंध बिखेर रहे हैं।
पद्यांश से

  • "उड़ती भीनी तैलाक्त गंध… फूली सरसों पीली-पीली"
UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 10

सुश्री शीला कक्षा सात के विद्यार्थियों को वाक्यों के प्रकार के बारे में पढ़ा रही हैं। सबसे पहले वे उन्हें उन वाक्यों के कुछ उदाहरण बताती हैं जिन्हें हम सामान्यतः सुनते हैं फिर वह वाक्यों के विभिन्न प्रकारों की व्याख्या करती हैं। सुश्री शीला निम्नलिखित में से किस शिक्षण सिद्धांत का अनुसरण कर रही हैं?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 10

सुश्री शीला आगमनात्मक से निगमनात्मक शिक्षण सिद्धांत का अनुसरण कर रही हैं।
आगमनात्मक-निगमनात्मक विधि: यह शिक्षण-अधिगम का शायद सबसे पुराना और सबसे बुनियादी तरीका है। यह आगमनात्मक और निगमनात्मक के दो तरीकों का एक संयोजन है।

  • आगमन विधि - यह एक मनोवैज्ञानिक विधि है जिसमें विशिष्ट अनुभवों और उदाहरणों के माध्यम से सामान्य नियमों का निर्माण किया जाता है। इसके द्वारा छात्र अधिक सक्रिय होकर सरल संप्रत्ययो के सहायता से नवीन ज्ञान का संचार करते हैं।
  • निगमन विधि - यह नियमों और सिद्धांतों के प्रस्तुतीकरण तथा बाद में उदाहरणों के द्वारा उन नियमों के पुष्टीकरण से संबंधित है। शिक्षक परिभाषा बता कर उनके सिद्धांत एवं परिभाषा को स्पष्ट करता है।
  • उपरोक्त वर्णित उपागम में सुश्री शीला आगमन विधि की सहायता से सबसे पहले वे उन्हें उन वाक्यों के कुछ उदाहरण बताती हैं, उसके बाद
  • निगमन विधि की सहायता से वह वाक्यों के विभिन्न प्रकारों की व्याख्या करती हैं।
UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 11

पाठ्य-पुस्तक भाषा-शिक्षण में मुख्यतः क्या सहायता करती है?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 11

पाठ्य-पुस्तक भाषा-शिक्षण में भाषा की विभिन्न छटाएँ प्रस्तुत करने का कार्य करती है।
एक पाठ्य-पुस्तक शिक्षण प्रक्रिया में प्रभावी शिक्षण की सुविधा के लिए उपयोग किया जाने वाला एक आवश्यक उपकरण है। सामूहिक शिक्षण व्यवस्था में पाठ्य-पुस्तक बहुत ही आवश्यक एवं उत्तम शैक्षिक साधन है।

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 12

Direction: ​Read the given passages carefully and answer the question that follows.
Everything that men do or think concerns either the satisfaction of the needs they feel or the need to escape from pain. This must be kept in mind when we seek to understand spiritual or intellectual movements and the way in which they develop, for feeling and longing are the motive forces of all human striving and productivity – however nobly these latter may display themselves to us.
What, then, are the feelings and the needs which have brought mankind to religious thought and to faith in the widest sense? A moment’s consideration shows that the most varied emotions stand at the cradle of religious thought and experience.
In primitive people, it is, first of all, fear that awakens religious ideas – fear of hunger, of wild animals, of illness, and of death. Since the understanding of causal connections is usually limited on this level of existence, the human soul forges a being, more or less like itself, on whose will and activities depend the experiences which it fears. One hopes to win the favor of this being, by deeds and sacrifices, which according to the tradition of the race are supposed to appease the being or to make him well disposed to man. I call this the religion of fear.
This religion is considerably established, though not caused, by the formation of priestly caste which claims to mediate between the people and the being they fear and so attains a position of power. Often a leader or despot will combine the function of the priesthood with its own temporal rule for the sake of greater security, or an alliance may exist between the interests of political power and the priestly caste.

Q. How did the priests come to acquire political power?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 12

According to the line given in the passage, Often a leader or despot will combine the function of the priesthood with its own temporal rule for the sake of greater security, or an alliance may exist between the interests of political power and the priestly caste.
The meaning of the word 'Despotic' is- A ruler who exercises absolute power, especially in a cruel or oppressive way.
In the given lines, the speaker says that 'an alliance may exist between the interests of political power and the priestly caste.' this states that by joining hands with the despotic rulers' priests can acquire the political powers.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 13

She said to him, "Are you coming with me or not?"
If you report the above sentence correctly, you will get

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 13

Since it is a question, 'said to' changes to 'asked' and 'you' refers the boy (he).

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 14

Directions: The given sentence may contain only one error in grammar usage, diction (choice of words), or idiom. The sentence may be correct. Select the lettered part that, according to you, contains the error. If there is no error, the answer is (D), i.e. No error.
While he was walking along the road, (A)/ a speeding car (B)/ knocked down to him. (C)/ No Error (D)

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 14

While he was walking along the road, a speeding car knocked him down.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 15

Based on the text related to the lesson, students find the exact meaning of the text and understand the text formed by sentences, phrases and words. Interpreting text in this way is called _________

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 15

Sub skills are essentially sub-sets or parts of a skill that has to be acquired by the learners. for example, reading is a skill, and scanning the text is known as a sub-skill.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 16

A foreign/non-mother tongue language teacher often faces the problem of a class full of reluctant, unmotivated learners. This can be helped by:

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 16

Language is one of the most important characteristic forms of human behavior. Language plays a crucial role in the process of learning. It is evident that the child acquires the language in the home environment informally in an unstructured manner but it is at the school where the child learns the language formally.
In language learning, it's a teacher's responsibility to use customized and stimulating instructions method to make learning interesting for learners. If a foreign/non-mother tongue language teacher often faces the problem of a class full of reluctant, unmotivated learners, this can be helped by the following ways:

  • Encouraging students and teaching them responsibility, to get them involved in the classroom.
  • Setting expectations and making reasonable demands encourages students to participate.
  • Teaching through games and discussions instead of lectures, encourage students to debate.
  • Using methods and strategies to motivate the students such as offering a small incentive for work.
  • Making learning more challenging in the class by connecting it with the real world to ensure learners' active involvement.

Thus, from the above-mentioned points, it is clear that if a foreign/non-mother tongue language teacher often faces the problem of a class full of reluctant, unmotivated learners, it can be helped by using methods and strategies to motivate and make learning more challenging in the class.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 17

Direction: Read the following information carefully and answer the given questions.
Initiatives such as “4 per mille” and Terraton aim to sequester huge amounts of carbon in the soil. The 2018 U.S. Farm Bill includes the first-ever incentives for farmers to adopt practices aimed at improving soil health and sequestering carbon. But these initiatives are missing a key point: not all soil carbon is the same.
The very different lifetimes of particulate organic matter and mineral-associated organic matter have important implications for these efforts. For example, adding low-quality crop residues to agricultural fields would likely create more particulate organic matter than mineral-associated organic matter. This could increase soil carbon in the short term - but if that field later is disturbed by tilling, a lot of it would decompose and the benefit would be quickly reversed. The best practices focus on building up the mineral-associated organic matter for longer-term carbon storage, while also producing high-quality particulate organic matter with lots of nitrogen to help boost crop productivity.
Natural healthy soils show us that providing continuous and diverse plant inputs that reach all the way to deep soil is key for achieving both high mineral-associated organic matter storage and particulate organic matter recycling. There are many promising ways to do this, such as maintaining plant cover on fields year-round; growing diverse crops that include high-nitrogen legumes and perennials with deep roots; and minimizing tillage.
However, not all soils can accumulate both mineral-associated organic matter and particulate organic matter. Before implementing any management practices for carbon sequestration, participants should first assess the carbon storage potential of the local soil, much as a doctor studies a patient before prescribing a cure. Sequestering soil carbon effectively requires an understanding of how particulate organic matter and mineral-associated organic matter work, how human actions affect them, and how to build up both types to meet our planet’s climate and food security needs.

Q. What is the synonym of the word ‘boost’?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 17

Let's explore the meaning of the marked word and the given word.

  • Boost: help or encourage (something) to increase or improve.
    Example: The new resort area has boosted tourism.
  • Bolster: support or strengthen.
    Example: Timman needs to win a game to bolster his confidence.

From the above, we can refer that a correct answer is an option (C).

  • Inhibit: hinder, restrain, or prevent (an action or process).
    Example: An unhappy family life may inhibit children’s learning.
  • Placate: make (someone) less angry or hostile.
    Example: These changes did little to placate the unions.
  • Shackle: restrain; limit.
    Example: Industrial progress is being shackled by a mass of regulations.
UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 18

A star has a diameter of approximately 0.5 that of the earth and mass of 0.1 that of the earth. The force experienced by a body of mass 1 kg on the surface of that star is what times to that experienced on the earth's surface?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 18

g = GMe/Re2
Ds = 0.5 De; Ms = 0.1 Me
g' = GMs/Rs2 = G x 0.1 Me/0.25 Re2 = 0.4 g

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 19

60% of the population of a city is female. If the total population of the city is 87000, then find the population of males in the city.

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 19

Given:
Female percent in city = 60% 
Total population of the city = 87,000
Calculation:
Total female in city = 87,000 × (60/100) = 52,200
Total male in city = 87,000 – 52,200 = 34,800
∴ Total male in the city is 34,800

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 20

The deficiency of copper in a body causes which of the following diseases?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 20

The deficiency in copper can cause many hematological manifestations, such as myelodysplasia, anemia, leukopenia (low white blood cell count) and neutropenia (low count of neutrophils, a type of white blood cell that is often called "the first line of defense" for the immune system).

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 21

Solve: 5 + 0.5 + 6 + 0.5 + 7 + 0.5 + 0.5 = ______

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 21

Given:
5 + 0.5 + 6 + 0.5 + 7 + 0.5 + 0.5 = ______
Concept used:
Adding number together and decimal number together
Calculation:
5 + 0.5 + 6 + 0.5 + 7 + 0.5 + 0.5 = ______
⇒ (5 + 6 + 7) + (0.5 + 0.5 + 0.5 + 0.5)
⇒ (18 + 2) = 20
∴ The required value is 20.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 22

If the base of an isosceles ΔABC is 48 cm and its area is 168 cm2, then what is the length of one of its equal sides?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 22


UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 23

A car goes one kilometre at 30 km per hour and then goes another kilometre at 40 km per hour. The average speed (in km/hr) of the car for 2 km is

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 23

Time taken by the car to cover the 1st km = 1/30 hrs
Time taken by the car to cover the 2nd km = 1/40 hrs
Total time taken to cover 2 km =  hrs
Thus, average speed =   km/hr =  km/hr
Hence, answer option 2 is correct.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 24

Three positive numbers are in the ratio 2 ∶ 3 ∶ 4. The sum of their squares is 2349. The average of the first two numbers is:

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 24

Given: 
Three positive numbers are in the ratio 2 ∶ 3 ∶ 4.
The sum of their squares is 2349.
The average of the first two numbers 
Calculation:
Let the numbers be 2x, 3x, 4x 
⇒ 4x2 + 9x2 + 16x2 = 2349
⇒ 29x2 = 2349 
⇒ x = √2349/29
⇒ √81 = 9
⇒  x = 9
⇒ Two numbers = 2x, 3x = 18 and 27
⇒ The average of the first two numbers = (18 + 27)/2 = 22.5
∴ The average of the first two numbers is 22.5.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 25

The learning outcome which focuses on the academic standard 'communication' is that

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 25

This is the correct answer. The student, using communication, can arrive at a conclusion using logical arguments.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 26

An eighth class student makes the statement: "Heavy objects sink in water and light objects float."
How is the Science teacher of class VIII best advised to react?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 26

The teacher is best advised to present counter examples and arrange materials of different shapes, sizes and weights for the child to investigate.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 27

Following are some questions posed by the teacher in the mathematics classroom:
A. What shall be added to 3 to get 5?
B. Give any two numbers whose subtraction is 5.
C. Write any four numbers greater than 5.
D. Which of the following is greater than 3.4?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 27

​Mathematics is a study of patterns, numbers, geometrical objects, data, and information. It deals with data analysis, integration of various fields of knowledge, deductive and inductive reasoning, and generalizations.

  • The teacher while asking questions in the mathematics classroom should focus more on providing practical exercises and abstract knowledge to students to foster their individualized discovery-oriented learning.
UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 28

If 2460375= 3375 × 729, then the cube root of 2460375 is:

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 28

Given:
2460375= 3375 × 729
Calculation:
∛2460375= ∛(3375 × 729) 
= ∛(153 × 93) = 15 × 9 
∛2460375= 135

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 29

If a learner is able to perform the four basic operations on whole numbers, fractions and decimal numbers, the learner is at _________.

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 29

Mathematics is a branch of science which deals with counting, calculating, and studying numbers, shapes, and structures. 
There is 6 Development Phase in Mathematics:

  • Emergent Phase: Recognize that numbers may be used to signify quantity.
  • Matching Phase: Understanding of counting or numeric values.
  • Quantifying Phase: In this phase, the students are able to quantify the objects by automatic recognition.
  • Partitioning Phase: Splitting of large numbers into smaller ones to solve easily.
  • Factoring Phase: Factoring complex numbers into simple.
  • Operating Phase: In this phase, the students are able to perform basic operations on whole numbers, fractions, and decimal numbers.

Thus, if a learner is able to perform the four basic operations on whole numbers, fractions, and decimal numbers, the learner is at the operating phase.

UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 30

Which of the following statements is true?

Detailed Solution for UTET Paper 2 Mock Test - 9 (Science and Mathematics) - Question 30

Analytical and Critical Thinking Skills help to evaluate the problem and to make decisions. It does not require any physical activity, but only Mental activity is what is required.

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