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


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30 Questions MCQ Test - UTET Paper 2 Mock Test - 1 (Science and Mathematics)

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

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. राष्ट्रभाषा के साथ कैसी परम्पराएँ जुड़ी रहती है? 

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 1
  • राष्ट्रभाषा सारे देश की संपर्क भाषा है।
  • राष्ट्रभाषा के साथ जनता का भावात्मक लगाव रहता है क्योंकि उसके साथ जनसाधारण की सांस्कृतिक परंपरायें जुड़ी रहती हैं। 
  • परंपरा एकवचन शब्द है जबकि परम्पराएँ इसका बहुवचन रूप होगा। 
  • परंपरा अर्थात अटूट सिलसिला या रीति-रिवाज होगा। 
UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 2

दिशानिर्देश: नीचे दिए गए गद्यांश को ध्यानपूर्वक अध्ययन करे और इस पर आधारित प्रश्नो के उत्तर दे:
केंद्रीय माध्यमिक शिक्षा बोर्ड (सीबीएसई) 10वीं कक्षा के अच्छे परिणाम से जहां खुशी का संचार हुआ है, वहीं इससे अन्य छात्रों को बेहतर पढ़ाई की प्रेरणा भी मिली है। कुल 91.46 प्रतिशत छात्र परीक्षा में सफल हुए हैं। पिछले वर्ष की तुलना में इस बार 0.36 प्रतिशत बेहतर नतीजे रहे हैं। अब यह आश्चर्य की बात नहीं कि लड़कियों ने 93.31 के पास प्रतिशत के साथ लड़कों को पछाड़ दिया है। लड़कों के पास होने का प्रतिशत 90.14 रहा है। खास बात यह रही कि इस वर्ष 2.23 प्रतिशत या 41,804 छात्रों ने 95 प्रतिशत से अधिक अंक प्राप्त किए हैं। यह बहुत सकारात्मक बात है कि 18 लाख विद्यार्थियों के बीच 1.84 लाख से अधिक ने 90 प्रतिशत से अधिक अंक हासिल किए हैं। मोटे तौर पर यह कहा जा सकता है कि 10 में से एक विद्यार्थी को 90 प्रतिशत से अधिक अंक हासिल होने लगे हैं, यह कहीं न कहीं बेहतर होती शिक्षा की ओर एक इशारा है।
एक अच्छी बात यह रही है कि सीबीएसई ने कोरोना वायरस के कारण उत्पन्न परिस्थितियों को देखते हुए इस वर्ष 12वीं और 10वीं, दोनों कक्षाओं के टॉपरों का एलान नहीं किया है। शिक्षाविद भी मानते हैं कि टॉपरों के एलान से लाभ कम और नुकसान ज्यादा होते हैं। आज छात्रों के बीच चिंता का माहौल है, वे घरों में रहने को विवश हैं, उनमें अकेलापन, अवसाद और अन्य तरह की समस्याएं बढ़ी हैं। अत: आज शिक्षा बोर्ड को ऐसी कोई पहल नहीं करनी चाहिए कि छात्रों की बड़ी जमात में किसी तरह का असंतोष, दुख या अपमान पैदा हो। कोरोना के इस दौर में हमें यह भी ध्यान रखना चाहिए कि 10वीं की परीक्षा ढंग से नहीं हो पाई है। अनेक विषयों की परीक्षा कोरोना के कारण स्थगित करनी पड़ी है। परीक्षा फिर से लेने के प्रयास भी सफल नहीं रहे हैं। ऐसे में, विद्यार्थी जिन विषयों की परीक्षा नहीं दे पाए हैं, उनमें उन्हें आनुपातिक रूप से ही अंक दिए गए हैं। इसलिए यह कहना गलत नहीं होगा कि परिणाम संपूर्ण नहीं है। यदि कोई छात्र परीक्षा रद्द होने से पहले तीन से अधिक विषयों की परीक्षा दे चुका था, तो उसे तीन उच्चतम प्राप्त अंकों के हिसाब से बाकी विषयों में अंक दिए गए हैं। इस व्यवस्था में उन छात्रों के साथ अच्छा नहीं हुआ है, जो तीन से कम विषयों की परीक्षा दे पाए थे। ऐसे विद्यार्थियों के परिणाम की गणना में आंतरिक, व्यावहारिक और परियोजना मूल्यांकन के अंकों पर भी गौर किया गया है।
बेशक, परीक्षा परिणाम सामने हैं, लेकिन कामचलाऊ ही हैं। उम्मीद करनी चाहिए कि कोरोना काबू में आएगा और दोबारा इस तरीके से मूल्यांकन की जरूरत नहीं रह जाएगी। गुणवत्तापूर्ण शिक्षा के लिए भी सामान्य शिक्षा, परीक्षा और परिणाम की बहाली बहुत जरूरी है। फिर भी एनसीईआरटी और सीबीएसई जैसी संस्थाओं को ऑनलाइन परीक्षा के पुख्ता तरीकों पर भी काम करना होगा। आने वाले दिनों में जो परीक्षाएं होंगी, उनका ढांचा कैसा हो? कैसे विद्यार्थियों का सही मूल्यांकन हो सके? इसके पैमाने चाक-चौबंद करने होंगे। आगे शिक्षा की चुनौतियां बहुत बढ़ रही हैं। शिक्षा की गुणवत्ता बनाए रखने के लिए विशेष प्रयास करने ही होंगे। दसवीं और बारहवीं की अगली परीक्षाओं में अब छह-सात महीने ही बचे हैं। सुनिश्चित करना होगा कि आगामी परीक्षाओं में सफल विद्यार्थियों की संख्या में कोई कमी न आने पाए।

Q. इस वर्ष के परिणाम को कामचलाऊ क्यों कहा गया है?

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

उपरोक्त गद्यांश के अध्ययन से हमे यह ज्ञात होता है कि इस वर्ष कोरोना के कारण केंद्रीय माध्यमिक शिक्षा बोर्ड की परीक्षाएं पूर्ण से संपन्न नहीं हो पायी जिसके परिणामस्वरूप केंद्रीय माध्यमिक शिक्षा बोर्ड ने मूल्यांकन के मापदंडो में बदलाव किये। अतः हम यह निष्कर्ष निकाल सकते है कि नए मापदंडो के कारण जहा एक तरफ कुछ विद्यार्थीओ को लाभ हुआ होगा वही दूसरी तरफ ऐसे बहुत से विद्यार्थी होंगे जिन्हे नुकसान हुआ होगा। अतः यह परिणाम पूर्णतः सटीक न होते हुए एक कामचलाऊ है।

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UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 3

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. निम्न में कहाँ बारहसिंगा नही पाए जाते है?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 3

बारहसिंघा अयोध्या में नहीं पाया जाता है।
गद्यांश से
"बारहसिंघा दुधवा राष्ट्रीय उद्यान, हस्तिनापुर अभ्यारण, असम के काजीरंगा राष्ट्रीय उद्यान और बंगाल के सुन्दरवनो में भी पाया जाता है।"

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 4

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. अरहर और सन वसुधा की क्या बनकर बढ़ा रही है?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 4

उपर्युक्त पद्यांश के अनुसार अरहर और सन वसुधा की करधनी बनकर बढ़ा रही है।
पद्यांश से

  • "अरहर सनई की सोने की... किंकिणियाँ है शोभाशाली"
UTET Paper 2 Mock Test - 1 (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. ''सिमटा बैठा है भेड़ो के गल्ले-सा' - किस विकल्प में सभी शब्द 'गल्ला' के समानार्थी है 

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 5

गल्ला के समानार्थी शब्द

  • रेवड़, झुण्ड, भीड़, रेला

गल्ला

  • पुल्लिंग
    • जानवरों का समूह, विशिष्ट पशु दल।
    • ऐसा बक्सा, थैली जिसमें दुकानदार रोज़ की बिक्री हुआ धन रखते हैं, गुल्लक।
UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 6

वृक्ष हों भले खड़े,
हों घने हों बड़े,
एक पत्र छाँह भी,
माँग मत, माँग मत, माँग मत,
अग्निपथ अग्निपथ अग्निपथ।
तू न थकेगा कभी,
तू न थमेगा कभी,
तू न मुड़ेगा कभी,
कर शपथ, कर शपथ, कर शपथ,
अग्निपथ अग्निपथ अग्निपथ।
यह महान दृश्य है,
चल रहा मनुष्य है,
अश्रु स्वेद रक्त से,
लथपथ लथपथ लथपथ,
अग्निपथ अग्निपथ अग्निपथ।
​उपर्युक्त पद्यांश को पढ़कर नीचे पूछे गए प्रश्न का उत्तर बताइए।

Q. इस कविता में बार-बार प्रयुक्त शब्द ‘अग्निपथ’ क्या है?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 6

इस कविता में बार-बार प्रयुक्त शब्द ‘अग्निपथ’ है- प्रतीक
पद्यांश के अनुसार-

  • कवि ने 'अग्नि पथ' जीवन के कठिनाई भरे रास्ते के प्रतीक के रूप में प्रयोग किया है।
UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 7

Directions: Read the following passage carefully and answer the questions given below it. 
Nature is an infinite source of beauty. Sunrise and sunset, mountains and rivers, lakes and glaciers, forests and fields provide joy and bliss to the human mind and heart for hours together. Everything in nature is splendid and divine. Every day and every season of the year has a peculiar beauty to unfold. Only one should have eyes to behold it and a heart to feel it like the English poet William Wordsworth who after seeing daffodils said: And then my heart with pleasure fills and dances with the daffodils?
Nature is a great teacher. Early man was thrilled with the beauty and wonders of nature. The Aryans worshipped nature. One can learn lessons in the vast school of nature. Unfortunately, the strife, the stress and the tension of modern life have made people immune to the beauties of nature. Their life is so full of care that they have no time to stand and stare. They cannot enjoy the beauty of lowing rivers, swinging trees, flying birds and majestic mountains and hills. There is, however, a cry to go back to the village from the concrete and artificial jungle of cities. Hence the town planners of today pay special attention to providing enough natural scenic spots in town planning To develop a balanced personality, one needs to have a healthy attitude which can make us appreciate and enjoy the beauty of nature. There is another balm to soothe our tired souls and listless minds than the infinite nature all around us. We should enjoy it fully to lead a balanced and harmonious life, full of peace and tranquility.

Q. Why do people not enjoy the beauty of Nature?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 7

Let's look at the highlighted lines in the 1st paragraph of the following passage.
Nature is a great teacher. Early man was thrilled with the beauty and wonders of nature. The Aryans worshipped nature. One can learn lessons in the vast school of nature. Unfortunately, the strife, the stress and the tension of modern life have made people immune to the beauties of nature. Their life is so full of care that they have no time to stand and stare. They cannot enjoy the beauty of lowing rivers, swinging trees, flying birds and majestic mountains and hills.
The author is saying that the life of the people is miserable because of the stress and tensions that's why they are unable to enjoy the beauty of nature. 
Hence, the correct answer is "option 3"

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 8

Constructivism is a theory where students:

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 8

Constructivism is a theory where students form their own understanding and knowledge of the world, through experiencing things and reflecting on those experiences.

  • Constructivism is the theory that says learners construct knowledge rather than just passively take in information. As people experience the world and reflect upon those experiences, they build their representations and incorporate new information into their pre-existing knowledge (schemas).
  • A student constructs his/her knowledge based on interaction with his/her environment.

The following two assumptions are the basis of constructivist learning:

  • Knowledge is actively constructed by the student, not passively received from the environment.
  • Coming to know is a process of adaptation based on and constantly modified by students’ experience of the world.
UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 9

Directions: Read the given passage and answer the question that follows by selecting the most appropriate option.
The scene presented by a community of bees is the more astonishing, the more we become acquainted with its details. Each hive is a commonwealth, of which the queen is nominally the head, receiving the greatest honour and care from her industrious subjects. With a greater wisdom than can be claimed by men, these creatures allow no disputes about the succession to the throne to induce them to injure each other; but they require the parties themselves individually to settle the quarrel between each other, without prolonged interference with the duties of the hive. Indeed, they may be said with truth to have adopted the advice: Let those who make the quarrels, be the only ones to fight. Only one queen is permitted to hold office in the community at a time; but while her claims are undisputed, she is treated with singular respect and affection. Indeed, her presence, and the prospect of a future generation, appear the chief motives of the insects to exert themselves.

Q. The queen bee has a position which gives her ______ from her subordinates.

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

The queen bee has a position which gives her exceptional reverence and devotion from her subordinates.
"Each hive is a commonwealth, of which the queen is nominally the head, receiving the greatest honour and care from her industrious subjects."

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 10

The digital revolution has indisputably reshaped our society, permeating virtually every facet of life. We live in a hyperconnected era, where the boundary between the real and virtual worlds is increasingly blurred. Though its benefits are myriad, it's worth pausing to consider the potential downsides of this digital immersion.
On the one hand, technology has democratized information, fostering global connectivity and accessibility. The internet, smartphones, and various digital platforms have empowered us with the ability to learn, communicate, and collaborate like never before. They have catapulted us into an era of unprecedented convenience and opportunity, where we can virtually traverse the globe with a simple click.
Yet, this digital immersion also comes with pitfalls. The unending influx of information can overwhelm our cognitive capabilities, leading to information overload. The constant bombardment of updates, notifications, and messages can disrupt our focus, leading to a condition known as "digital fatigue." Further, it's alarming to see the increasing prevalence of cyberbullying, privacy breaches, and disinformation campaigns, which have severe consequences on our societal harmony.
The digital revolution is a double-edged sword. It grants us unparalleled access to knowledge, yet it can also breed distraction, misinformation, and anxiety. We need to strike a balance, leveraging the best of what technology offers while mitigating its downsides. As we continue to navigate this digital landscape, it's crucial to remember that technology is merely a tool—it's how we use it that ultimately defines its impact.

Q. In the phrase "technology has democratized information," what part of speech is the word "democratized"?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 10
  • The word "democratized" in the given context is used as a verb.
  • In English grammar, a verb is a word that represents an action, an occurrence, or a state of being.
  • In the phrase "technology has democratized information," "democratized" is the action performed by "technology."
  • The action is to make (in this case, information) accessible to everyone, which is the meaning of "democratize."

Therefore, the correct answer is Option 2.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 11

In the constructivist frame, the child is viewed as

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 11

The constructivist frame/perspective is based on the idea that meaningful learning takes place when learners actively construct their own knowledge.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 12

Directions: Identify the part of speech of the word underlined in the following sentence.
He bought a gold ring for his wife.

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 12

'Gold' has been used as an adjective for the 'ring' here.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 13

Task : Fill in the blanks choosing the suitable words.
(i) I want a cup of ______ coffee. (strong/powerful)
(ii) He is a ______ smoker. (heavy/big)
The task above tests the learner's ability in:

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 13

A collocation is two or more words that often go together. These combinations just sound "right" to native English speakers, who use them all the time. On the other hand, other combinations may be unnatural and just sound "wrong". Look at these examples-
I want a cup of Strong (not powerful) coffee. 
He is a heavy (not big) smoker. 
NOTE:

  • Spelling: the forming of words from letters according to accepted usage.
  • Pronunciation: the way in which a particular letter word or sound is said.
  • Idiomatic use: using language that contains expressions that are natural to somebody who learned the language as a child.

Hence, the task above tests the learner's ability in collocation.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 14

In which activity the language is the pupil’s own language, no matter what their level is?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 14

There are levels of writing that a learner goes through to master in it. It starts with familiarization, in which learners are familiarized with certain features of a particular text. Also, learners are given “certain grammar and vocabulary through a text”.
Freewriting refers to a prewriting activity that focuses on writing continuously regardless of grammar, spelling, and topic. In this, the language is the pupil’s own language, irrespective of their level of writing.
Other types of writing include:

So, we conclude that the above-mentioned statement refers to free-writing.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 15

'A' has 20% more money than 'B', and 'C' has 20% less money than 'B'. What percent more money does 'A' have than 'C'?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 15

Let the amount of money with 'B' be m.
So, 'A' has 1.20 m, and 'C' has 0.92 m.
Let the required percentage be 'p'.
So, 1.20 m = 0.92 m + (p/100) x 0.92 m
On solving for p, we get p = 30.44 or 30 approx.
Thus, 'A' has about 30.44% more money than 'C'.
Hence, option (1) is correct.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 16

The value of 8 + (1/2 + 1/4) x 16 is:

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 16

8 + (1/2 + 1/4) x 16
Concept:

Calculation

⇒ 8 + 12
⇒ 20
∴ The value of  8 + (1/2 + 1/4) x 16 is 20.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 17

Which of the following disease is caused by vitamin D deficiency?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 17

Vitamin-D:

  • The chemical name of Vitamin D is Cholecalciferol.
  • Its deficiency causes rickets.
  • It was discovered by Edward Mellanby.
  • It is fat-soluble.
  • It is found in Fish, eggs, liver, mushrooms.
UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 18

3-digit numbers are formed using the digits 1, 3, 7 without repetition of digits. A number is randomly selected. What is the probability that the number is divisible by 3?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 18
  • Divisibility rule of 3 : A number is completely divisible by 3 if the sum of its digits is divisible by 3
  • nPr = n!/(n - r)!

Calculation:
Total number of three-digit numbers = 3P2 = 3!/(3 - 2)! = 6
Total number of three-digit numbers are 137, 173, 371, 317, 713, 731 
Total number of outcomes = 6 
Since Sum of digits is 11 which is not a multiple of 3 
So, The favorable outcome is 0
∴ The probability that the number is divisible by 3 is 0/6 = 0.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 19

Which of the following processes is required for extracting metal from cinnabar ore? 

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 19
  • Mineral: A naturally occurring substance with uniform chemical composition is called a mineral.
  • Ore: An ore is a mineral from which a metal can be extracted in a profitable way.

According to the reactivity of metals, different methods are employed to extract metals from their ores.
Reactivity series of metals:

  • Metals of high reactivity; such as sodium, calcium, magnesium, aluminium, etc. are extracted from their ores by electrolytic reduction.
  • Metals of middle reactivity, Iron, zinc, lead, etc. are found in the form of carbonate or sulfide ores. They are either calcinated or roasted.
  • Metals of least reactivity, Mercury and copper, which belong to the least reactivity series, are often found in the form of their sulfide ores. They are roasted and then refined. 

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 20

cos 12º + cos 84º + cos 132º + cos 156º =

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 20

cos 132º + cos 12º + cos 156º + cos 84º
= 2 cos 72º cos 60º + 2 cos 120º cos 36º

= - (1/2)
The value of cos 12º + cos 84º + cos 132º + cos 156º = -(1/2)

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 21

If four sides of a quadrilateral ABCD are tangential to a circle, then

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 21


Theorem used is: Lengths of tangents drawn from external points to a circle are equal.
Let AB touches the circle at point P, BC at Q, CD at R, DA at S.
So, AP = AS ---(i)
BP = BQ ---(ii)
CR = CQ ---(iii)
DR = DS ---(iv)
Adding (i), (ii), (iii), (iv), we get
AP + BP + CR + DR = AS + DS + BQ + CQ
AB + CD = AD + BC
AB + CD = AD + BC

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 22

The speed of the boat in still water is 15 kmph. If the time taken by the boat to travel downstream is 1/5th the time taken to travel upstream, then find the speed of the stream.

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 22

Given:
Speed of the boat in still water = 15 kmph
The time taken by the boat to travel downstream is 1/5th the time taken to travel upstream
Concept:
(s1)/(s2) = (t2)/(t1), where s is the speed and t is the time.
Downstream = speed of boat + speed of stream
Upstream = Speed of boat - speed of stream
Calculation:
(upstream speed)/(downstream speed) = (downstream time)/(upstream time)
Then, ratio of upstream speed and downstream speed = 1 : 5
Let the upstream speed and downstream speed are x and 5x
Speed of the boat in still water = (5x + x)/2
⇒ 3x
3x = 15
⇒ x = 5
speed of stream = (5x - x)/2
⇒ 2x
⇒ 10 kmph
∴ The Speed of the stream is 10 kmph.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 23

What should come in place of question mark (?) in the following question
48 ÷ 8 × 1/30 + 44/5 = ?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 23

⇒ 48 ÷ 8 × 1/30 + 44/5 = ?
⇒ 6 × (1/30) + 44/5 = ?
⇒ 1/5 + 44/5 = ?
⇒ 45/5 = ?
⇒ ? = 9
∴ The required result will be 9.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 24

Meaning of the word 'Heurisco' is

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 24

Heuristics: The word "heuristic" is derived from the Greek word "Heurisco" meaning "I find out" 

  • Heuristic Method" is one in which the students are left to find out things for themselves.
  • The heuristic method is a method of teaching which involves placing children as far as possible in the attitude of a discoverer.
  • In the heuristic method, the teacher is a guide and also a working partner.
  • As a friend of students, this teacher should proceed on the way to discovering facts.
  • He is to see that this classroom is pervaded by an atmosphere of freedom and that the work provided to the students encourages self-development, spontaneity, and self-expression.
UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 25

As per NCF 2005, one main goal of Mathematics education in schools is to

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 25

In the words of David Wheeler, "It is more useful to know how to mathematise than to know a lot of Mathematics. The higher aim is to develop the child's resources to think and reason mathematically, to pursue assumptions to their logical conclusion and to handle abstraction." It includes a way of doing things, and the ability and the attitude to formulate and solve problems (NCF, 2005).

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 26

A teacher gives the following problem related to 'discount' to the students for solving:
"The Marked Prices (M.P.) of a shirt and sweater are Rs. 200 and Rs. 300 respectively, and the discounts on the marked prices of the shirt and sweater are 20% and 12% respectively. While preparing the bill, the shopkeeper interchanged the discounts on these items by mistake. On getting the bill, Hamida noticed the mistake and paid the actual amount to the shopkeeper. How much money did Hamida pay to the shopkeeper?"
What value does the teacher try to promote through this problem?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 26

The teacher try to promote honesty through this problem as honesty refers to a facet of moral character and connotes positive and virtuous attributes such as integrity, truthfulness, straightforwardness, including straightforwardness of conduct, along with the absence of lying, cheating, theft, etc.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 27

A two digit number is such that the product of the two digits is 72 and their sum is 17. If the unit place is greater than ten's place ,Then number is ______.

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 27

Given:
The product of the two digits is 72.
The sum of two-digit is 17.
Calculation:
Let the unit place be x.
Let the ten's place be y.
According to the question:
The sum of two digit is 17.
⇒ x + y = 17
⇒ x = 17 - y
The product of the two digits is 72.
⇒ x × y = 72
⇒ (17 - y)y = 72
⇒ y2 - 17y + 72 = 0
⇒ y = 9, 8
The ten's place = 8
The unit place = 17 - 8 = 9
The two digit number = 89
∴ The number is 89.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 28

In science teaching, explanation method will be proved most useful when-

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 28

An explanation method consists of one person talking to many about a topic or theme. The main purposes of an explanation method are to convey information, generate understanding, and stimulate interest.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 29

Anjali asks the following tasks to be performed by students of Class VII while making an electromagnet (not in the correct sequence):
a. Place some pins near the end of a nail.
b. Switch on the current and observe what happens.
c. Wind a copper wire tightly around an iron nail.
d. Connect free ends of the wire to the terminals of a cell.
Which of the following is the correct sequence of tasks to be performed to achieve the desired result?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 29

The correct sequence of making an electromagnet to achieve the desired result is as follows:
c. Wind a copper wire tightly around an iron nail.
d. Connect free ends of the wire to the terminals of a cell.
a. Place some pins near the end of a nail.
b. Switch on the current and observe what happens.

UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 30

In a blueprint prepared for unit test in Mathematics, 2(1) is written at a place. What does it indicate?

Detailed Solution for UTET Paper 2 Mock Test - 1 (Science and Mathematics) - Question 30

One question of value 2 marks

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