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UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - UPTET MCQ


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30 Questions MCQ Test - UP TET Paper 2 Mock Test - 5 (Science and Mathematics)

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) for UPTET 2024 is part of UPTET preparation. The UP TET Paper 2 Mock Test - 5 (Science and Mathematics) questions and answers have been prepared according to the UPTET exam syllabus.The UP TET Paper 2 Mock Test - 5 (Science and Mathematics) MCQs are made for UPTET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) below.
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UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 1

CBSE has prescribed group activities for students, in place of activities for individual students. The idea behind doing so could be

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

CBSE has prescribed group activities for students in place of activities for individual students. The idea behind doing so could be to overcome the negative emotional response to individual competition which may generalise across learning.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 2

What has been considered as a process of correcting behaviour by training?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 2

Learning is a relatively permanent change in personality (including cognitive, affective, attitudinal, motivational, behavioral, and experiential) and reflects a change in performance usually brought about by practice although it may arise from insight or other factors, including memory.

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UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 3

Kritika is ready to solve the problem given by the teacher, most of the time she also finds a solution to the problem. Kritika belongs to a poor background. Despite that, which of the following motive is strong in her? 

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 3

Achievement Motivation Theory: The Achievement motivation theory narrates personal individualities and circumstantial to a need for achievement and the allied competitive drive to meet standards of excellence. Achievement Motivation Theory (AMT) clarifies the affiliation between an individual’s appearances and his/her need to accomplish roughly in life. In doing so, it also takes into account the kind of reasonable drive a person has to achieve set goals.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 4

If a child fails to perform well in the class test leads us to believe that-

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 4

If a child fails to perform well in the class test leads us to believe that there is a need to reflect upon the syllabus, pedagogy and assessment processes.
The failure of a child is also the failure of the syllabus pedagogy and assessment. So we need to reflect upon all these points before making any judgment about the students. 
To avoid failure or to tackle it when it looks likely, both parents and teachers must get involved. They can do this by involvement of parents, skill development, increase in the motivation.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 5

निम्न में से किस विधि के अन्तर्गत किसी इकाई को सूक्ष्म खंडों में विभक्त कर शिक्षण कराया जाता है?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 5

विश्लेषण विधि के अन्तर्गत किसी इकाई को सूक्ष्म खंडों में विभक्त कर शिक्षण कराया जाता है।
विश्लेषण विधि- विश्लेषण विधि में किसी समस्या को पहले छोटे-छोटे भागों में विभाजित किया जाता है। उसके बाद समस्या के बारे में अध्ययन किया जाता है। फिर उसके निष्कर्ष पर पहुंचा जाता है। इस प्रकार के शिक्षण विधि को विश्लेषण विधि कहते हैं। इस विधि से समस्या का हल निकालने से पहले समस्या के बारे में जानते हैं, फिर समस्या के हल के लिए उपयुक्त विधि का चयन करते हैं।
​विश्लेषण विधि की विशेषताएँ:

  • इस विधि में छात्रों को खोज करने का अवसर मिलता है।
  • इस विधि को क्रियाशील विधि माना जाता है।
  • इस विधि द्वारा प्राप्त होने वाले ज्ञान हमेशा स्थाई होता है।
  • इस विधि में छात्र हमेशा क्रियाशील रहते हैं।
UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 6

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 UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 6

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।
UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 7

श्रव्य-दृश्य सामग्री नहीं है:

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 7

छाया चित्र एक श्रव्य-दृश्य सामग्री नहीं है।
शिक्षकों द्वारा शिक्षण सामग्री का उपयोग शिक्षार्थियों को आसानी और दक्षता के साथ अवधारणा सीखने में मदद करने के लिए किया जाता है।
दृश्य-श्रव्य सामग्री से तात्पर्य ऐसी सामग्री से है जो पाठ को ध्वनि और चित्रों दोनों रूप में प्रभावी तरीके से प्रस्तुत कर बच्चों के आंख और कान दोनों ज्ञानेंद्रियों को सक्रिय कर के सीखने को सार्थक बनाती है। उदाहरण: लेज़र प्रोजेक्टर, वीडियो, मल्टीमीडिया, आदि।

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 8

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. What are the town planners doing today?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 8

When you the 2nd paragraph of the given passage, you will find the following lines:
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 
The highlighted sentences show that town planners provide something to feel like nature, which means they are providing facilities for enjoying nature. 
Hence, the correct sentence is "option 1"

UP TET Paper 2 Mock Test - 5 (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 parties' in this context means

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 9

'The parties' in this context means 'participants' (in a quarrel).

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 10

Direction: Read the passage given below and answer the questions that follow by selecting the most appropriate options:
A duty is an obligation. It is something we owe to others as social beings when we live together. We must let others live with us. My right of living implies my duty to my fellow beings to allow them the same conditions of life. In fact, rights and duties are correlated. What is a right in regard to one may be a duty in regard to others Rights and duties are two sides of the same coin. We should always observe from the standpoint of others. Moral duty is more effective than legal rights. A moral duty is that which is binding upon the people on moral grounds. It is my moral duty to help the poor because of being a member of the society.
I must try to create conditions that contribute to the welfare of humanity. Similarly, I owe a duty to my parents—to be obedient and respectful to them. This duty originates from the sense of responsibility which is directly related to our conscience. So, this is concerned with a moral duty which any person owes without a legal bondage.
A sense of duty is paramount for the proper development of civilization. Hypocrisy is quite reverse to the sense of duty. It involves wickedness, while duty involves sincerity and faithfulness.

Q. Which of the following statements is NOT correct according to the passage?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 10

The statement in option (D) ‘Sense of duty is not important for the development of civilization’ is incorrect. A sense of duty is paramount for the proper development of civilization. Hypocrisy is quite reverse to the sense of duty. It involves wickedness, while duty involves sincerity and faithfulness.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 11

Directions: Read the poem given below and answer the question that follows.
T'was the night before Christmas,
And all through the kitchen,
My mother was cooking some delicious chicken.
All of the sudden,
The light bulb broke,
And my mother randomly started to choke.
In a flash, superman came.
My brother thought his costume was lame.
And instead of rescuing the day,
He ate up my dinner,
And he flew away !
Santa burnt the house with dynamites and flares,
I guess I was on the naughty list, next year,
I'll care !

Q. Superman came and

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 11

Superman came and ate up the child's dinner. "He ate up my dinner...".

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 12

Direction: Read the following passage and answer the questions that follow.
She was one of those pretty and charming girls born, as if by an error of fate, into a family of clerks. She had no dowry, no expectations, no means of becoming known, understood, loved, or wedded by a man of wealth and distinction. So she let herself be married to a minor official at the Ministry of Education.
She dressed plainly because she had never been able to afford anything better, but she was as unhappy as if she had once been wealthy. Women don't belong to a caste or class; their beauty, grace, and natural charm take the place of birth and family. Natural delicacy, instinctive elegance, and a quick wit determine their place in society and make the daughters of commoners the equals of the very finest ladies.
She suffered endlessly, feeling she was entitled to all the delicacies and luxuries of life. She suffered because of the poorness of her house as she looked at the dirty walls, the worn-out chairs, and the ugly curtains. All these things that another woman of her class would not even have noticed tormented her and made her resentful. The sight of the little Brenton girl who did her housework filled her with terrible regrets and hopeless fantasies. She dreamed of silent antechambers hung with Oriental tapestries, lit from above by torches in bronze holders, while two tall footmen in knee-length breeches napped in huge armchairs, sleepy from the stove's oppressive warmth. She dreamed of vast living rooms furnished in rare old silks, elegant furniture loaded with priceless ornaments, and inviting smaller rooms, perfumed, made for afternoon chats with close friends - famous, sought after men, who all women envy and desire.
When she sat down to dinner at a round table covered with a three-day-old cloth opposite her husband who, lifting the lid off the soup, shouted excitedly, "Ah! Beef stew! What could be better," she dreamed of fine dinners, of shining silverware, of tapestries which peopled the walls with figures from another time and strange birds in fairy forests; she dreamed of delicious dishes served on wonderful plates, of whispered gallantries listened to with an inscrutable smile as one ate the pink flesh of a trout or the wings of a quail.

Q. Which word is opposite in meaning to the word, ‘Natural'?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 12
  • Natural means being in accordance with or determined by nature.
  • Treated means putting a chemical substance onto something to protect it from damage, clean it, etc.
    Example: It is chemically treated water.​

Thus, Treated is the most opposite in meaning to Natural.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 13

Directions: Read the passage given below and answer the question that follows.
Once upon a time, there lived a sparrow in a tree. He was very happy to have a beautiful and comfortable nest of his own in the tree. The sparrow used to fly to far off places to pick at grains from so many fields, full of crops. At the Sun set, he would return to his perch. One day, the sparrow ate his fill, but could not return to his nest because of the heavy rains which continued for the whole night. The sparrow had to spend the whole night in a big banyan tree a little distance away from home.
The next morning, when the rain stopped and the sky became clear, the sparrow returned to his tree. He was astonished to find a rabbit occupying his beautiful and comfortable nest. The sparrow lost his temper and spoke to the rabbit, "It's my home you're sitting in. Please quit this place at once".
"Do not talk like a fool", replied the rabbit. "Trees, rivers and lakes do not belong to anyone. Places like these are yours only so long as you are living in. If someone else occupies it in your absence, it belongs to the new occupant. So, go away and do not disturb me anymore".
But, the sparrow was not satisfied with this illogical reply. He said, "Let's ask a person of wisdom and only then our case will be settled".
At a distance from the tree, there lived a wild cat. The cat, somehow, overheard the discussion that took place between the sparrow and the rabbit.
The cat immediately thought of a plan, took a holy dip in the river, and then sat like a priest and began chanting God's name in a loud tone. When the rabbit and the sparrow heard the cat chanting God's name, they approached him with a hope to get impartial justice and requested him to pass a judgement in the matter.
The cat became very happy to have both of them in front of him. He pretended to listen to their arguments. But, as soon as the right opportunity came, the cat pounced upon both of them and killed and ate them together with great relish. 
(from Panchtantra)

Q. The best way to teach this story would be by

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 13

The best way to teach this story would be by having the students dramatise it. Story dramatisations are based on a story that students are familiar with. While it is planned by students, a script is not necessary. Students know the story and characters well enough to improvise action and dialogue.
Research has shown the positive effects of improvised story dramatisation on language development and student achievement in oral and written story recall, writing and reading for both younger students (Pellegrini, 1997) and students through middle school (Deasy, 2002; Fiske, 1999).

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 14

Read the passage carefully and answer the questions that follow. Some words may be highlighted. Pay attention.
While the apprehension of losing job security is the most natural human tendency, there are some factors like technology that are beyond an individual's control. The sooner the employees embrace the truth, the easier it would be to convert it into an opportunity. This can be done by upgrading employee-skillset with the following skills for the requirement of future roles:
Leadership: The ability to lead the automation change will be a crucial skill in the organization. The leader will be also responsible for identifying the right talent in the machine age and engaging the workforce through human touch points.
Information Technology: Who can handle technology better than the technologists themselves? However, automation will force employees to hone their understanding of big data, machine learning, cloud computing, augmented reality, and mathematical and analytical skills. With the huge amount of data available, they should be able to apply it to present insight.
Management: The future workplaces will be a collaboration of machines/robots and humans. Hence, the managerial skills required to strike a balance between machines and human emotions, and making them work alongside will also come handy.
Soft Skills: Machines are after all machines. They may do work more quickly and efficiently, but they can't bring in 100 percent human touch and feel. There will be areas where people to people interaction, human relationships, and networking will still matter, hence soft skills such as communication, social and behavioural, cognitive and emotional intelligence would be expected from the employees.
It's about time that employees start reskilling/upgrading their skills and search for relevant programmes/courses in their organizations or outside. For example, IT major Capgemini is planning to train each of its one lakh employees in India in digital skills by 2018. Intel has launched 60 courses as a part of its 'AI Developer Education Programme' to train 15,000 Indian engineers, developers, scientists, and students.
It can't be denied that automation will impact the jobs considerably in India. However, developing people-centric skills and upgrading/reskilling for new roles could help employees tide over the automation wave.

Q. According to the passage, Intel has launched 60 courses as a part of its 'AI Developer Education Programme' to train how many engineers in India?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 14
  • According to the passage: ‘Intel has launched 60 courses as a part of its 'AI Developer Education Programme' to train 15,000 Indian engineers, developers, scientists, and students.

Thus, the correct answer is Option 4.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 15

A reading activity, where students focus on phonemic sounds, pronunciation and intonation, can be used to assess

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 15

This is the correct option because you will be expected to recognise strategies for promoting fluency with respect to reading rate, reading accuracy and prosodic reading. You may be asked about appropriate strategies for monitoring students' reading fluency development.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 16

Kritika is ready to solve the problem given by the teacher, most of the time she also finds a solution to the problem. Kritika belongs to a poor background. Despite that, which of the following motive is strong in her? 

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 16

Achievement Motivation Theory: The Achievement motivation theory narrates personal individualities and circumstantial to a need for achievement and the allied competitive drive to meet standards of excellence. Achievement Motivation Theory (AMT) clarifies the affiliation between an individual’s appearances and his/her need to accomplish roughly in life. In doing so, it also takes into account the kind of reasonable drive a person has to achieve set goals.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 17

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

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 17

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

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 18

What is the preparation stage for language learning known as?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 18

The preparation stage for language learning is known as initial stage. After passing through this stage, the work of actual language development in children begins. Which can be called the real stage of language development.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 19

'We intend to go on a field trip with our teachers. This is our plan.'
In the given statement, which one is a reference word?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 19

"This" is going to be the reference word as it describes the plan of going on a field trip with the teachers.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 20

'Prediction' as a subskill is associated with: 

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 20

Language skills are necessary for effective communication in any environment and to interact with others. It allows an individual to comprehend and produce language for proper and effective interpersonal communication.

  • The four basic language skills and their natural order are listening-speaking-reading-writing. These foundational skills of language are divided into two categories which are receptive and productive skills.
UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 21

The sum of two positive numbers is 63. If one number 'x' is double the other, then the equation is

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 21

If the bigger number is 'x', the smaller number is (63-x).
So, x/(63-x) = 2
Hence, option (1) is correct.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 22

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 UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 22

​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.
UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 23

Let m and n are whole numbers. If mn = 121, the value of nm is

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 23

m = 11 and n = 2
So, 112 = 121
Now, nm = 211 = 2048

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 24

To represent equal numerical values, same type of diagrams are used in

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 24

To represent equal numerical values, same type of diagrams are used in pictographs. A pictograph is a way of showing data using images. Each image stands for a certain number of things.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 25

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

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 25

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).

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 26

If x2 + (2x/5) + (1/25) = 0, then (x−(2/3))= ?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 26

Given:
x2 + (2x/5) + (1/25) = 0 
Formula used:
(a + b)2 = a2 + b2 + 2ab 
Calculation:
x2 + (2x/5) + (1/25) = 0 
⇒ x2 + 1/(52) + 2 × x × 1/5 = 0
⇒ (x + 1/5)2 = 0
⇒ x = -1/5 
Now, (x−(2/3))2 = (-1/5 -2/3)2
⇒ (- 13/15)2
⇒ 169/225 
∴ The required result is 169/225.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 27

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 UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 27

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.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 28

Fill in the gaps:
_____ ÷ _____ = 4
What type of question is it?

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 28

Multiple response type is the correct answer.
This is because we can get multiple combinations of numbers to get the answer 4.

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 29

The difference between supplementary and complementary angles of any given acute angle is:

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 29

Concept:
Complementary angles: The pair of angles whose sum is equal to 90° are complementary angles.
Supplementary angles: The pair of angles whose sum is equal to 180° are supplementary angles.
Explanation:
Let the acute angle be a°.
⇒ Complementary angle of a° = (90 - a)° 
Also, Supplementary angle of a° = (180 - a)° 
∴ Difference between supplementary and complementary angles = (180 - a)° - (90 - a)° 
⇒ 180 - a - 90 + a 
⇒ 90° 
Hence, the difference between complementary and supplementary angles of a given acute angle is 90°. 

UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 30

'Cognitive validity' of science curriculum at upper primary stage requires that it should

Detailed Solution for UP TET Paper 2 Mock Test - 5 (Science and Mathematics) - Question 30

Cognitive validity requires that the content, process, language and pedagogical practices of the curriculum are age-appropriate and within the cognitive reach of the child.

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