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HTET TGT Maths Mock Test - 6 - HTET MCQ


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30 Questions MCQ Test - HTET TGT Maths Mock Test - 6

HTET TGT Maths Mock Test - 6 for HTET 2025 is part of HTET preparation. The HTET TGT Maths Mock Test - 6 questions and answers have been prepared according to the HTET exam syllabus.The HTET TGT Maths Mock Test - 6 MCQs are made for HTET 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for HTET TGT Maths Mock Test - 6 below.
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HTET TGT Maths Mock Test - 6 - Question 1

Which component of the Government of India has the objective of development of children?

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 1

The Ministry of Women and Child Development makes laws and regulations to take care of the women and child development in India.

HTET TGT Maths Mock Test - 6 - Question 2

Answer the following question by selecting the most appropriate option.
The following are the steps in the process of problem-solving except:

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 2

Defining a problem is called problem-solving. Problem-solving includes steps like identification of the problem, generation of solution or exploring possible strategies, anticipating outcomes, implementation, etc. But it doesn't include breaking down the problem into smaller parts in the process of problem-solving.
Hence, the correct answer is, 'Breaking down the problem into smaller parts.'

HTET TGT Maths Mock Test - 6 - Question 3

Answer the following question by selecting the most appropriate option.
A teacher should:

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 3

Everyone has their own viewpoint regarding any type of issue. A teacher should accept and respect the perception of every child. Negating their viewpoints can lose their confidence, and they may get reluctant to the learning. It is the duty of every teacher to encourage every child and allow them to think creatively and logically. Hence, the correct answer is, 'a teacher should not interrupt or correct students while they are trying to communicate ideas.'

HTET TGT Maths Mock Test - 6 - Question 4

To develop critical thinking in the students, the teacher introduces the topic of plastic bag usage. In which of the following ways can a child develop his critical thinking?

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 4

Critical thinking is a process that challenges an individual to use reflective, reasonable, rational thinking to gather, interpret, and evaluate information in order to derive a judgment.

HTET TGT Maths Mock Test - 6 - Question 5

Which of the following is not a sign of reading difficulty among young learners?

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 5

It includes reading skills like reading comprehension, word recognition, oral reading skills, and even impairment in skills that require reading.

HTET TGT Maths Mock Test - 6 - Question 6

ढीठ पर्यायवाची शब्द का अर्थ क्या होगा?

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 6

‘ढीठ’ पर्यावाची शब्द का अर्थ अविनीत है।

ढीठ का पर्यायवाची धृष्ट, उद्दंड, दुस्साहसी हैं।

HTET TGT Maths Mock Test - 6 - Question 7

अभिशाप का विलोम है -

HTET TGT Maths Mock Test - 6 - Question 8

Choose the correct option to mark  the synonym of the words given in the question.

Diatribe

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 8
Synonym of Diatribe: - The correct option is: B: Tirade. Explanation: - Both "diatribe" and "tirade" refer to a long, angry, and critical speech or piece of writing that strongly criticizes someone or something. - The other options are not synonyms of "diatribe" for the following reasons: - A: Debate refers to a formal discussion on a specific topic in which opposing arguments are put forward. - C: Monologue refers to a long speech by one person, especially in a play, movie, or as part of a theatrical performance. - D: Oration refers to a formal, usually ceremonial, speech delivered in public.
HTET TGT Maths Mock Test - 6 - Question 9

Choose the alternative which best expresses the meaning of underlined idiom/phrase.

Sobhraj could be easily arrested because the police were tipped off in advance

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 9
The correct answer is C: Given advance information. Explanation: The phrase "tipped off" means to provide someone with confidential or insider information about a specific event or situation. In this case, the police were "tipped off" in advance, meaning they were given advance information about Sobhraj, which allowed them to easily arrest him.
HTET TGT Maths Mock Test - 6 - Question 10

DirectionsIn questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.

Q. Leave or remove from a place considered dangerous.

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 10

One word substitution is Evacuate.

Evade: escape or avoid (someone or something), especially by guile or trickery.

Evacuate: remove (someone) from a place of danger to a safer place.

Avoid: keep away from or stop oneself from doing (something).

Exterminate: destroy completely.

HTET TGT Maths Mock Test - 6 - Question 11

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.

TikTok users saw their feeds fill with livestreams of families in Syrian camps, drawing _______________ from some viewers and concerns about scams from others.

I. Attention
II. Assist
III. Support

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 11

The idea here is to express the plight of Syrian families, thus ‘support’ and ‘attention’ are the perfect fit. The use of ‘assist’ is incorrect grammatically as only a noun will be apt for the blank.
Hence, the correct answer is option D. 

HTET TGT Maths Mock Test - 6 - Question 12

Direction: In the following question, the sentences have been given in Active/ Passive Voice. From the given alternatives, choose the one which best expresses the given sentence in Passive/ Active Voice.

Look at the poll results-do they inspire hope?

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 12

As per the given above sentence is given in Passive Voice.
Use structure “ Let + subject + auxiliary + past participle”
Let the poll results be looked at-is hope inspired by them?
Hence , required answer will be option D .

HTET TGT Maths Mock Test - 6 - Question 13

Direction: In the following question, a sentence has been given in Active/Passive Voice. Out of the four alternative suggested, select the one which best expresses the same sentence in Passive/Active Voice.

Our task had been completed before sunset.

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 13

Use structure “subject + auxiliary + past participle + object”
As per the above sentence is given in Active Voice.
We had completed our task before sunset.
Hence , option B will be correct answer .

HTET TGT Maths Mock Test - 6 - Question 14
Who had built the Krishna-Arjuna Rath (Chariot) and the temple of Shankaracharya near the Jyotishwar Sarovar situated in district Kurukshetra
Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 14

The correct answer is Shankaracharya of Kam Koti Peeth.

Key Points

  • Shankaracharya of Kam Koti Peeth had built the Krishna-Arjuna Rath (Chariot) and the temple of Shankaracharya near the Jyotishwar Sarovar situated in district Kurukshetra.
  • The sculpture, of the chariot driven by horses with Shri Krishna standing on it facing east while delivering the sermon and Arjun crouching humbly on the ground with hands folded listening intently, was built by the Shankracharya of Kanchi Kama Koti Peeth in 1967 at Jyotisar.
  • Sri Kanchi Kamakoti Peetham
    • It is also called the Sri Kanchi Matham or the Sri Kanchi Monastery.
    • It is located in Kanchipuram, Tamil Nadu.
    • The Kanchi Math was originally established as the Kumbakonam Mutt in 1821 as a branch of the Sringeri Mutt.
    • The head of the matha is referred to as a "Acharya" or "Sankaracharya".
    • The founding of Kanchi Kamakoti Peetam is traditionally attributed by its adherents to Adi Shankara, however, please note that this is disputed.
    • Since February 2018, it has been led by Vijayendra Saraswathi Shankaracharya Swamigal.

Additional Information

  • Kameshwar Singh was the Maharaja of Darbhanga.
    • He held his title over his family estates in the Mithila region from 1929 – 1952.
    • He was a member of the team that visited London for the First round Table and the Second Round Table Conference held in 1930–31.
  • Maharaja Sir Hari Singh was the last ruling Maharaja of the princely state of Jammu and Kashmir.
    • He remained the titular Maharaja of the state until 1952, when the monarchy was abolished by the Indian government.
  • Swami Vishuddhananda Maharaj
    • He was the eighth president of the Ramakrishna Mission.
    • The Swami was noted for his love for a quiet and contemplative life.
HTET TGT Maths Mock Test - 6 - Question 15

In 2020, the population of a town was 60,000. In 2021 it increased by 20% over the previous year and in 2022 it decreased by 5% over the previous year. What is the difference between the population of the town in 2020 and 2022?

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 15

Population in 2022

So the answer = 68,400 – 60,000 = 8,400
Hence, Option C is correct.

HTET TGT Maths Mock Test - 6 - Question 16

Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

Flow : River :: Stagnant : ?

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 16

As Water of a River flows similarly water of Pool is Stagnant.

HTET TGT Maths Mock Test - 6 - Question 17

Direction: If a Paper (Transparent Sheet) is folded in a manner and a design or pattern is drawn. When unfolded this paper appears as given below in the answer figure. Choose the correct answer figure given below.

A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Question Figure

Answer figure

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 17

HTET TGT Maths Mock Test - 6 - Question 18

Factorise:(3x- 5y)3+ (5y – 2z)3 + (2z – 3x)3

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 18

 

 

HTET TGT Maths Mock Test - 6 - Question 19

Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.

Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 19

HTET TGT Maths Mock Test - 6 - Question 20

The distance of the point (–2, –2) from the origin is :

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 20
Solving it by Pythagoras theorem the perpendicular will be 2 and the base will also be 2 the distance will be the hypotenuse =>. h² = b² + p² h²= 2² + 2² h² = 4+4 h²= 8 h=√8 √8 can be written as √2 x √2 x √2 which is equal to 2√2units.
HTET TGT Maths Mock Test - 6 - Question 21

Find the circumference of the circle, whose area is 144π cm2

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 21

The area should be 144π,
 ,Area of the circle= πr2
144π = πr2
r = 12cm
Circumference=2πr = 24πcm

HTET TGT Maths Mock Test - 6 - Question 22

Ram and Shyam are friends. The probability that both will have the same birth day is

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 22

Ignoring a leap year, both Ram and Shyam can have any day of the year as their birthday. 
∴ Total number of possible ways in which their birthday can fall = 
Also they can share the same birthday falls on same date = 365
∴ Required Probability 

HTET TGT Maths Mock Test - 6 - Question 23

The top of a broken tree has its top touching the ground at a distance of 10m from the bottom. If the angle made by the broken part with the ground is 30°, then the length of the broken part is

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 23

Let AB be the broken part of the tree.

Therefore, the length of the broken part of the tree is 20/√3 meters.

HTET TGT Maths Mock Test - 6 - Question 24
According to NEP‐2020, National Research Foundation (NRF) may be established to
Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 24

The NRF (National Research Foundation) will be governed, independently of the government, by a rotating Board of Governors consisting of the very best researchers and innovators across fields.

Key Points

  • The goal of the NRF will be to enable a culture of research to permeate through our universities.
  • The primary activities of the NRF will be to:
    • fund competitive, peer-reviewed grant proposals of all types and across all disciplines.
    • seed, grow and facilitate research at academic institutions.
    • act as a liaison between researchers and relevant branches of government as well as industry; so as to allow breakthroughs to be optimally brought into policy and/or implementation.
    • recognize outstanding research and progress.

Thus, it is concluded that According to NEP‐2020, National Research Foundation (NRF) may be established to enable a culture of research to permeate through universities.

HTET TGT Maths Mock Test - 6 - Question 25

In the given figure, O is the centre of the circle. ∠OAB and ∠OCB are 40o and 30o respectively. Then, the measure of ∠AOC is 

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 25


(Angle at the centre is double the angle at the circumference subtended by the same chord)

HTET TGT Maths Mock Test - 6 - Question 26

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as

Assertion : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.

Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 26
A sector is region which lies between an arc and two radii joining the extremities of the arc and the centre.

The shaded region denotes the sector of a circle. The unshaded part is also a sector.

Notice that it is enclosed by two radii and an arc.

HTET TGT Maths Mock Test - 6 - Question 27

The value of sin2 30° - cos2 30° is

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 27

Solution :- sin^2 30° − cos^2 30°

= (1/2)2 −((3)1/2/2)2

= 1/4 - 3/4

= -1/2

HTET TGT Maths Mock Test - 6 - Question 28

The measure of central tendency that can be obtained graphically is

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 28

 Central tendency is the central value for a probability distribution. Mean,media,mode and range are the measures of central tendeny. Amongst them, median can be determined graphically.

HTET TGT Maths Mock Test - 6 - Question 29

Ramesh’s salary in February 2008 is Rs. 10,000. If he’s promised an increase of Rs. 1000 every year, what would be his salary in Feb 2011?​

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 29

So this is an AP with a=10,000 , d= 1000
So after 4 years
l=a+(n-1)d=10000+(4 -1)1000=10000+3000=13000

HTET TGT Maths Mock Test - 6 - Question 30

Solution of a quadratic equation x²+ 5x - 6 = 0

Detailed Solution for HTET TGT Maths Mock Test - 6 - Question 30

⇒ x²+ 5x - 6 = 0

⇒ x²+ 6x -x - 6 = 0

⇒ x(x+6) -1(x+6) = 0

⇒ (x-1) (x+6) = 0

⇒ x = 1, -6

 

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