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Bihar STET Paper 1 Mathematics Mock Test - 7 - Bihar PGT/TGT/PRT MCQ


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30 Questions MCQ Test - Bihar STET Paper 1 Mathematics Mock Test - 7

Bihar STET Paper 1 Mathematics Mock Test - 7 for Bihar PGT/TGT/PRT 2025 is part of Bihar PGT/TGT/PRT preparation. The Bihar STET Paper 1 Mathematics Mock Test - 7 questions and answers have been prepared according to the Bihar PGT/TGT/PRT exam syllabus.The Bihar STET Paper 1 Mathematics Mock Test - 7 MCQs are made for Bihar PGT/TGT/PRT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Bihar STET Paper 1 Mathematics Mock Test - 7 below.
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Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 1

The measure of central tendency that can be obtained graphically is

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 1

 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.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 2

The first term and the common difference for the  are respectively

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 2

clearly first term is 4/3
for common difference 1/3-4/3=-1

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 3

The largest number which divides 245 and 1029 leaving remainder 5 in each case is

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 3

When 245 and 1029 are divided by the required number then there is left 5 as remainder. It means that 245 - 5 = 240 and 1029 - 5 = 1024 will be completely divisible by the required number.
Now we determine the HCF of 240 and 1024 by Euclid's Algorithm.
1024 = 240 x 4 + 64
240 = 64 x 3 + 48
64 = 48 x 1 + 16
48 = 16 x 3 + 0
Since remainder comes zero with last divisor 16,
required number = 16

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 4

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

Assertion : The equation x2 + 3x+1 = (x - 2)2 is a quadratic equation.

Reason : Any equation of the form ax2 + bx + c = 0 where a ≠ 0 , is called a quadratic equation.

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 4
We have, x2 + 3x + 1 = (x - 2)2 = x2 - 4x + 4

⇒ x2 + 3x + 1 = x2 - 4x + 4

⇒ 7x - 3 = 0 ,

it is not of the form ax2 + 6x + c = 0

So, A is incorrect but R is correct.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 5

Pick out the incorrect statement

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 5

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. 

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 6

The number of polynomials having zeroes as -2 and 5 is

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 6

 

⇒ p(x) = x2−3x−10
But we know that, if we multiply or divide any polynomial by any arbitrary constant. Then, the zeroes of the polynomial never change.
Therefore,

p(x)=kx2−3kx−10

 Where,k is a real number

Hence, the required number of polynomials having zeros −2 and 5 are infinite i.e. more than 3.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 7

In the given figure, ∠M is 75° then ∠O is equal to.

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 7
We know that, sum of all angles of rectangle =360 so, the sum of 2 angles of rectangle = 360\2 = 180  Angle A + Angle B=180  75+B=180 or, B=180-75 or, B=105 degree.
Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 8

The perimeter (in cm) of a square circumscribing a circle of radius a cm, is​

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 8

Let ABCD is a square circumscribing a circle of radius a cm.
The side of square ABCD = Diameter of circle
⇒AB=2a
Therefore, perimeter of square AB=4×AB=4×2a=8 cm

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 9

 What will be the value of k, if the lines given by (5+k)x-3y+15 and (k-1)x-y+19 are parallel?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 9

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 10

The graph of the polynomial 2x2-8x+5 cuts the y-axis at 

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 10

Clarification: The graph of the polynomial 2x2-8x+5 cuts the y-axis.
Hence, the value of x will be 0.
y(0)=2(0)2-8(0)+5
y=5
The graph cuts the y-axis at (0,5)

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 11

Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 11

3p + 6p + 8p + 13p = 30p = 360° ⇒ p

= 12° Largest angle is 13p = 13 × 12°

= 156°

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 12

If 3 cot θ = 2, then the value of tan θ

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 12

3 cot θ = 2 ⇒ cot θ = 2/3 ⇒ tan θ = 3/2 

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 13

The common difference and the next two terms of the A.P are….

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 13

Common difference=¼-0=½-¼=¼
Next term =¾+¼=1
Next term =1+¼=5/4

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 14

The value of 2 tan245+ cos230∘ − sin260 is

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 14

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 15

Which of the following quadratic expression can be expressed as a product of real linear factors?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 15


Thus, it can be expressed as product of linear factors.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 16

A horse is tied to a peg at one corner of a square shaped gross field of side 25m by means of a 14m long rope. The area of that part of the field in which the horse can graze is

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 16

Area of the shaded region
Area of the shaded region 
Area of the shaded region = 154 sq. cm 

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 17

Consider the following frequency distribution of the height of 60 students of a class:

The sum of the lower limit of the modal class and upper limit of the median class is

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 17

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 18

Special schools are required for backward children when

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 18

Special schools are schools that cater to children with special needs. Students with special needs can be classified into five categories-

  • Physical impairment
  • Visual impairment
  • Hearing and speech impairment
  • Low mental ability
  • Learning disability 

Key Points

The backward child is also called a slow learner. The child is unable to cope with routine work normally expected of his/her age group. The rate of learning is the basis for identifying slow learners. Special schools are required for backward children when Backwardness is due to any serious physical handicap. He finds it difficult to keep pace with the normal child in his school work. The characteristics of backward learners are as given below: 

  1. They have limited cognitive capacity.
  2. For them rational thinking is impossible.
  3. They have the capacity for rote learning and can retain memory whatever is learned only with a lot of practice and revision in comparison with the normal child.
  4. They have poor memory.
  5. They are distractive and lack concentration in the classroom.
  6. They have an Inability to express through language. The slow learner has cognitive problems, language-related problems, auditory perceptual problems, visual-motor problems, and social-emotional problems.

Note:  Lower achievers don't come under students with special needs.

From the above, we can say that special schools are required for backward children when backwardness is due to any serious physical handicap as special schools are for students with special needs.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 19

What are the characteristics of Continuous and Comprehensive Evaluation (CCE)?
(a) It increases the workload on students by taking multiple tests.
(b) It replaces marks with grades.
(c) It evaluates every aspect of the student.
(d) It helps in reducing examination phobia.
Select the correct answer from the codes given below

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 19

The main aim of CCE is to evaluate every aspect of the child during their presence at the school. This is believed to help reduce the pressure on the child during/before examinations as the student has to sit for multiple tests throughout the year, of which no test or the syllabus covered is repeated at the end of the year, whatsoever. The CCE method is claimed to bring enormous changes from the traditional chalk and talk method of teaching, provided it is implemented accurately. As a part of this new system, student's marks have been replaced by grades which are evaluated through a series of curricular and extra-curricular evaluations along with academics. The aim is to reduce the workload on students and to improve the overall skill and ability of the students by means of evaluation of other activities.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 20

Mrs. Suman cannot score her students objectively. She is probably using

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 20

Essay type questions do not provide scope to assess the students objectively. Mrs. Suman is using essay type questions. These questions are subjective in nature and their answers vary from subject to subject; whereas multiple choice questions, true/false type questions, or one word answer type questions are used to assess the students objectively.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 21

What is the role of the National Mission on Foundational Literacy and Numeracy under NEP 2020?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 21

The National Mission on Foundational Literacy and Numeracy in NEP 2020 aims to enhance early literacy and numeracy skills.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 22

Which of the following is not an example of an Assessment of learning?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 22

Assessment of learning refers to the process of evaluating a student's knowledge, skills, and understanding of a subject or topic. The primary goal of the assessment of learning is to determine the level of achievement of learning outcomes and provide feedback to both students and teachers. 

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 23

An effective teacher will ensure

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 23

Some games, like some real situations, are intensely competitive, where an individual or a team has to compete against someone else. In case of a team, cooperation among members is of paramount importance to reach the objective or to deal with any issue effectively, So, both these skills are required to excel in different real life situations. A teacher must know what would bring out the best in the students and ensure the same.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 24

Continuous and Comprehensive Evaluation emphasizes:

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 24

Continuous Comprehensive Evaluation is a school-based evaluation system. It promotes orderly learning and development. It includes regularity in assessment, diagnosis of learning gaps, retesting, etc. So, CCE emphasizes how learning can be observed, recorded, and improved upon. It is a 'continuous' process after each course over the entire session. 'Comprehensive' means the scheme follows both scholastic and co-scholastic aspects of students.
Hence, the correct answer is, 'How learning can be observed, recorded and improved upon.'

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 25

Which organization has collaborated with the Election Commission of India (ECI) for providing authoritative information on voting processes?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 25

Google has partnered with the Election Commission of India (ECI) to provide authoritative information on voting processes for the upcoming general elections. Through Google Search and YouTube videos, voters can access critical details on registration, voting, and candidate information, aiding in informed decision-making.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 26

Who has been appointed as the Chief Executive Officer of BharatPe?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 26

Nalin Negi has been appointed as the Chief Executive Officer of BharatPe after serving as the interim CEO and CFO. Under his leadership, the company has seen significant revenue growth and achieved positive Ebitda, showcasing his experience and strategic capabilities in the fintech and banking sectors.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 27

Which country has declared a health emergency due to escalating cases of dengue fever in 2024?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 27

Peru has declared a health emergency in response to the surge in dengue fever cases, with over 31,000 reported cases and 32 fatalities in 2024. This declaration encompasses 20 out of Peru's 25 regions, highlighting the severity of the situation in the country.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 28

In the following figure, ∠B : ∠C = 2 : 3, find ∠B + ∠C.

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 28

∠DAC = ∠B + ∠C
(Exterior angle prop. of a Δ ABC)
According to question,
130° = 2A + 3A
5A = 130°
A = 26°
∴ ∠B = 52°; ∠C = 78°

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 29

The time taken by 10 men to complete a work is the same as the time taken by 20 women to complete the same work. The efficiency of each woman is what percentage of the efficiency of each man?

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 29

10 men = 20 women
Man : Woman = 2 : 1

Hence, Option B is correct.

Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 30

Vaishnavi, a domicile of tribal areas of Jammu and Kashmir, born on 5th September 1996, completed Engineering Degree with 65% marks till 5th semester in regular course, and have a permanent tattoo on her shoulder.

Detailed Solution for Bihar STET Paper 1 Mathematics Mock Test - 7 - Question 30

Hence, the person will be allowed to write a written test.

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