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HTET TGT Maths Mock Test - 4 - HTET MCQ


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30 Questions MCQ Test HTET TGT Mock Test Series 2024 - HTET TGT Maths Mock Test - 4

HTET TGT Maths Mock Test - 4 for HTET 2024 is part of HTET TGT Mock Test Series 2024 preparation. The HTET TGT Maths Mock Test - 4 questions and answers have been prepared according to the HTET exam syllabus.The HTET TGT Maths Mock Test - 4 MCQs are made for HTET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for HTET TGT Maths Mock Test - 4 below.
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HTET TGT Maths Mock Test - 4 - Question 1

Vygotsky emphasised the significance of the role played by which of the following factors in the learning of the children?

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 1

For Vygotsky, although biological factors constitute the necessary pre-requisite for elementary processes to emerge, socio-cultural factors are indispensable for elementary natural processes to develop. He argues for the uniqueness of the social milieu and regards socio-cultural settings as the primary and determining factor in the development of higher forms of human mental activity such as voluntary attention, intentional memory, logical thought, planning, and problem solving.

HTET TGT Maths Mock Test - 4 - Question 2

Creativity is about taking risks and making connections and is strongly linked to:

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 2

When the children do new things that they did differently from what they did before, creativity, creativity is a skill that helps children to enhance their skills of thoughts, ideas, feeling, etc. It's just that they make new things on their own. Creativity is something kids like when they play or make connections for different reasons.
Hence, the correct answer is "Play".

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HTET TGT Maths Mock Test - 4 - Question 3

Learning means to gain:

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 3

Learning is a process where we live, talk with others, learn new things which means we are interacting with others, and learning different skills like sitting, walking, eating, etc. We gain knowledge of what we are not aware of and also learn various skills that help us in the future.
Hence, the correct answer is "All of the above".

HTET TGT Maths Mock Test - 4 - Question 4

In a learner-centered classroom, the teacher would:
A. Encourage students to reflect on what they are learning and how they are learning it.
B. Demonstrate what she expects her students to do and then give them guidelines to do the same.
C. Employ such methods in which the learners are encouraged to take initiative for their own learning.
D. Use lecture method to explain key facts and then assess the learners for their attentiveness.

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

Student-Centered Learning, also known as learner-centered education, broadly encompasses methods of teaching that require learners to actively construct their own knowledge and puts the responsibility for learning on them. 

HTET TGT Maths Mock Test - 4 - Question 5

Those students who run away from the class, your behaviour towards them will be: 

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 5

A diagnostic approach would be the most effective part of addressing students who run away from class.

  • A diagnostic approach involves identifying and understanding the root causes and factors contributing to the student's behavior.
  • It may involve gathering information, assessing the student's needs, and identifying any underlying challenges or issues they may be facing.
  • This information can be helpful in developing appropriate strategies and interventions to support the student.
HTET TGT Maths Mock Test - 4 - Question 6
निम्न में से कौन सा शब्द 'सूर्य' का पर्यायवाची नहीं है?
Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 6

मयंक शब्द 'सूर्य' का पर्यायवाची नहीं है। मयंक चन्द्रमा का पर्यायवाची होता है।

Key Points

  • चन्द्रमा : शशि, हिमकर, राकेश, रजनीश, हिमांशु, चाँद, मयंक, विधु, सुधाकर, कलानिधि, निशापति, शशांक
  • सूर्य : अंशुमान, सूरज, रवि, दिनकर, दिवाकर, प्रभाकर, भास्कर।
  • सविता : भानु, दिनेश, मार्तण्ड, अंशुमाली, सूर्य, रवि, सूरज, दिनकर, प्रभाकर, दिवाकर, भास्कर
  • दिनकर : प्रभाकर, दिवाकर, भास्कर, सविता, भानु, दिनेश, मार्तण्ड, अंशुमाली, सूर्य
  • भास्कर : सूरज , फतिंगा , पतंगा पतंग , सूर्य
HTET TGT Maths Mock Test - 4 - Question 7

Fill in the blanks with the correct preposition.

The book is ____ the mug and the pen.

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

The correct preposition to use in this sentence is between.

  • Option A: 'in' is incorrect because it implies that the book is inside the mug or the pen, which doesn't make sense in this context.
  • Option B: 'between' is the correct preposition because it indicates that the book is located in the middle of the mug and the pen.
  • Option C: 'on' is incorrect because it suggests that the book is placed on top of the mug or the pen, which is not the intended meaning.
  • Option D: 'above' is incorrect because it implies that the book is in a higher position than the mug and the pen, which is not the intended meaning.

Therefore, the correct sentence is: The book is between the mug and the pen.

HTET TGT Maths Mock Test - 4 - Question 8

Direction: A word in capital letters is followed by four words. Choose the word that is most nearly opposite in meaning to the word given in capital letters.

DELECTABLE

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 8

As we know that ,
Delectable is delightful or pleasant, distasteful is something unpleasant, agonizing is something that gives pain and anxiety, appetizing means to rouse or increase appetite, laborious means something that needs or shows much effort.
Thus , Distasteful is antonym ( opposite ) word of Delectable . 

HTET TGT Maths Mock Test - 4 - Question 9

Directions: Identify the option that is similar in meaning to the word/idiom/phrase in underlined. The options do not necessarily need to be grammatically correct.
 
Disha was head over heels in love with her ex-boyfriend but the end was not the best.

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 9

The idiom head over heels is used to imply that she was very much excited about her relationship with her boyfriend. She was overwhelmed in joy because of that relationship but it ended in despair only. Among the given options, we can choose option D since it provides us with the correct meaning of the given idiom as underlined.

This makes option D the correct choice among the given options.

HTET TGT Maths Mock Test - 4 - Question 10

Directions: A sentence is given here with a blank and you need to fill the blank choosing the word/words given below. If all the words given can fill the blank appropriately, choose ‘All are correct’ as your answer.

They're carefully _______________, many in beautiful copper-plate handwriting, detailing exactly where and when they were found.

I. Tag

II. Labelled

III. Design

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 10

Let us first learn the meanings of the given words:

Tag (verb): give a specified name or description to.

Label (verb): assign to a category, especially inaccurately or restrictively.

As the sentence is in passive voice, only a verb in third form will fit the blank. Thus, ‘labelled’ is an apt fit while ‘tag’ and ‘design’ are incorrect.

Hence, the correct answer is option B.

HTET TGT Maths Mock Test - 4 - Question 11

VENUE 

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 11

Venue: This term typically refers to a specific location where an event or activity takes place. It often carries the connotation of being chosen or designated for a particular purpose, such as a concert venue, a wedding venue, or a courtroom.

Place: "Place" is a more general term that can refer to any location or area, whether specific or undefined.

HTET TGT Maths Mock Test - 4 - Question 12

The pattern on the walls of the Palace of Maharaja Tej Singh were taken from which epic?

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 12

The correct answer is The Ramayana.

About Maharaja Tej Singh Palace:

  • The Palace of Maharaja Tej Singh which is situated in the Mirpur Gurgaon city of Haryana state. The Palace is adorned with Paintings done in Rajput style. The patterns on the walls of the Palace have depicted scenes from the Epic Ramayana.
  • Gurgaon, now officially known as Gurugram, is a district located in Haryana state. It is located near the Delhi-Haryana border, about 30 km southwest of the capital New Delhi and 268 km south of Chandigarh.
  • The region of Gurgram originally fell under the Kuru dynasty. This place was the part of the Mahabharata, It was described as the village of Guru Dronacharya, the Guru of the Pandavas and Kauravas.

Map view of Gururam district (Haryana state):

HTET TGT Maths Mock Test - 4 - Question 13
The compositions of Poet Pushpadant are related to which sect
Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 13

The correct answer is Jainism.

  • The compositions of Poet Pushpadant are related to Jainism.

Additional Information

  • Jainism is a very ancient religion. According to some traditions, it is as old as the Vedic religion.
    • There is a succession of great teachers or Tirthankaras in the Jain tradition.
    • There were 24 Tirthankaras, the last of whom was Vardhaman Mahavira.
    • The first Tirthankara is believed to be Rishabhanatha or Rishabhdev.
    • The 23rd Tirthankara was Parshvanath who was born in Varanasi.
    • All Tirthankaras were Kshatriyas by birth.

Important Points

  • Jainism – Jain Councils:
    • First council
      • Held at Pataliputra in the 3rd century BC.
      • Presided by Sthulabhadra.
    • Second Council
      • Held at Vallabhi in Gujarat in 512 AD.
      • Presided by Devardhi Kshemasarmana.
HTET TGT Maths Mock Test - 4 - Question 14
When was Jhajjar seperated from Rohtak district of Haryana?
Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 14

The correct answer is 15th July, 1997.

Key Points

  • Jhajjar was separated from Rohtak district on 15th July 1997 (officially).
  • Jhajjar district was created out of Rohtak district by carving out Jhajjar and Bahadurgarh tahsils on 25th June 1997.
  • During the period of 1991-2001, the following jurisdictional changes were observed.:
    • Bahadurgarh tahsil contained 62 villages and Bahadurgarh Town.
    • Jhajjar tahsil contained 199 villages and two towns, namely, Jhajjar and Beri, and these were part of Rohtak district.
    • Beri tahsil was newly created on 27th July 1995 by transferring 39 villages and Beri Town from Jhajjar tahsil.
    • Bahadurgarh tahsil gained 9 villages from Jhajjar tahsil and lost 2 villages to Rohtak tahsil (Rohtak district).

HTET TGT Maths Mock Test - 4 - Question 15

In a match, A scored 6.25% fewer runs than B. The runs scored by B were what percentage more than that by A? 

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 15


Runs → A : B = (16 – 1) : 16 = 15 : 16

Hence, Option A is correct.

HTET TGT Maths Mock Test - 4 - Question 16
Its population density per square kilometer is highest :
Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 16

The correct answer is Bihar.

Key Points

  • State with the highest population density: Bihar
  • Union Territory with Highest Population Density: Delhi
  • State with the lowest population density: Arunachal Pradesh
  • Union Territory with Lowest Population Density: Andaman and Nicobar Islands
  • Highest Density District: Mumbai City
  • Lowest density district: Lahaul and Spiti

Important Points

  • The ratio of people to units of the land area is generally referred to as population density.
  • It is calculated by dividing the total population of a country by the total area of the country.
  • India's Population Density in 2011 increased to 382 per square kilometer.
HTET TGT Maths Mock Test - 4 - Question 17

Six friends have an average height of 172 cm. A boy with height 152 cm leaves the group. What is the new average height of the group?

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 17


Hence, Option A is correct.

HTET TGT Maths Mock Test - 4 - Question 18

The roots of the equation x2 – 3x – m (m + 3) = 0, where m is a constant, are​

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 18

X2 - 3x - m(m+3) = 0

=> x2 + mx - (m+3)x- m(m+3) = 0

=> x(x+m) - (m+3)(x+m) = 0

=> (x+m) (x-m-3) = 0

x = - m and m+3

Roots are - m and m+3

HTET TGT Maths Mock Test - 4 - Question 19

Pick out the incorrect statement

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 19

The altitudes of a triangle are the line segments drawn from each side of the triangle to the angle opposite that side, such that the line segment is perpendicular to the side it is drawn from. In an isosceles triangle, only the altitudes of the legs of equal length in the triangle are congruent. 

HTET TGT Maths Mock Test - 4 - Question 20

Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by = 3 and 3a – 2b = 1

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 20

Given Equations

ax + by = 3    {1}

3a - 2b = 1     {2}

x = 2, y = 1 ( given) 

Equation {1} becomes,

2a + b = 3      {3}

Substract equation {3} from {2}, we get,

2a + b - 3a + 2b = 3 - 1

-a + 3b  = 2

3b = 2 + a

b = (2+a) / 3 

Put the value of b in equation {3}, we get

2a + (2 +a ) / 3 = 3

(6a +a +2) / 3 = 3

7a + 2 = 9

a = 1

Now put value of a in {3}

2 + b = 3

b = 1

hence we get value of a and b i.e. 1 and 1 

HTET TGT Maths Mock Test - 4 - Question 21

If the length of the shadow of a tower is √3 times that of its height, then the angle of elevation of the sun is

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 21

Let AB be the tree and AP be the shadow.
Let AB = x meters. Then AP = x√3 meters
Also ∠APB = θ
In right angled triangle ABP 

Therfore the angle of elevation of the Sun is 30°.

HTET TGT Maths Mock Test - 4 - Question 22

A park is in the form of a rectangle 120m by 90 m. At the centre of the park there is a circular lawn as shown in the figure. If the area of the park excluding the lawn is 2950 m2, then the radius of the circular lawn will be 

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 22

ANSWER :- b

Solution :- Area of rec. park=(120×90)m²=10800m²

Area of rec. park excluding lawn=2950m²

Area of circular lawn=(10800 - 2950)m²

=7850m²

Let the radius be = r

7850/3.14 = 3.14r²/3.14

→2500 = r²

→√2500 = √r²

→50 = r

→r = 50

Radius = 50m

HTET TGT Maths Mock Test - 4 - Question 23

The value of    is

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 23

we know sin(90 - a) = cos(a) 

cos(90 - a) = sin(a)

sin(a) = 1/cosec(a)

sec(a) = 1/cos(a)

 

cos40 = cos(90-50) = sin50

cosec40 = cosec(90-50) = sec50

so our expression becomes

sin50/sin50 + sec50/sec50 - 4cos50 / sin40

= 1 + 1 - 4(1)   since cos50 = sin40

= -2

HTET TGT Maths Mock Test - 4 - Question 24

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

Assertion : Common difference of an AP in which a21 -a7 = 84 is 14.

Reason : n th term of AP is given by an = a + (n - 1)d

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 24
We have, an = a + (n - 1)d

a21 -a7 = {a + (21 - 1)d}

- {a + (7 - 1)d} = 84

a + 20d- a - 6d = 84

14d = 84

d = 18/14 = 6

d = 6

So, A is incorrect but R is correct

HTET TGT Maths Mock Test - 4 - Question 25

When a die is thrown, the probability of getting an odd number less than 3 is

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 25

Number of possible outcomes = {1} = 1
Number of Total outcomes = 6
∴ Required Probability = 1/6

HTET TGT Maths Mock Test - 4 - Question 26

If x = a cos θ and y = b sin θ, then the value of b2x+ a2y2 is

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 26


HTET TGT Maths Mock Test - 4 - Question 27

Mode and mean of a data are 12k and 15k. Median of the data is

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 27

∵ Mode = 3 median - 2 mean
⇒ 12k = 3 median - 2 x 15k
⇒ 42k = 3 median
⇒ Median = 14k.

HTET TGT Maths Mock Test - 4 - Question 28

The probability of a sure event is

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 28

The probability of a sure event is always 1.

HTET TGT Maths Mock Test - 4 - Question 29

If d is the HCF of 56 and 72, then values of x,y satisfying d = 56 x+72y :

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 29

Since, HCF of 56 and 72, by Euclid’s divsion lemma,
72 = 56 × 1 + 16 ……….(i)
56 = 16 ×3 + 8 ……….(ii)
16 = 8× 2 + 0 ……….(iii) 
∴ HCF of 56 and 72 is 8. 
∴ 8 = 56 – 16× 3
8 = 56 – (72 – 56 ×1) ×3
[From eq. (i) : 16 = 72 – 56× 1]
8 = 56 – 3 ×72 + 56× 3
8 = 56 × 4 + (–3) × 72 
∴ x = 4,y = −3

HTET TGT Maths Mock Test - 4 - Question 30

A bridge across a river makes an angle of 45° with the river bank. If the length of the bridge across the river is 200m, then the breadth of the river is

Detailed Solution for HTET TGT Maths Mock Test - 4 - Question 30

Let the breath of the river be h meters.

= 100√2 meters Therefore, the breadth of river is 

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