Bihar STET Paper 1 Mathematics Mock Test - 3 - Bihar PGT/TGT/PRT MCQ

Perimeter of circle = 2πr
Area of circle= πr²
Perimeter = Area
2πr= πr²
2= πr²/r
πr gets cancelled
So r = 2 units

Let α,β,γ are the zeroes of the given polynomial. Given: α+β+γ = (-3/4)

The given AP is 5, 2, -1, -4 ... ...., -31
d = 2 - 5 = -3, so d for the AP starting from the last term is 3.
The first term = l = -31
We know, a_n = a+(n−1)d
a₆ from the end = −31+(5)3
a₆ from the end = −16

The x-axis is one of the sides of a frequency polygon. The x-axis represents the values of the variable being measured.

tan 1 . tan 2 . tan 3 ... tan 87 . tan 88 . tan 89 = LHS 
tan 1 . tan 2 . tan 3 ... tan (90 - 3 ) . tan ( 90 - 2 ) . tan ( 90 - 1)
tan 1 . tan 2  . tan 3 ... cot 3 . cot 2 . cot 1 

tan 1 . cot 1 . tan 2 . cot 2 . tan 3 . cot 3 ... tan 89 . cot 89 
1 x 1 x 1 x 1 x ... x 1 
As 1ⁿ = 1  = RHS 

We have a=2, d=6-2=4
l=a+(n-1)d
210=2+(n-1)4
208/4=n-1
n=53rd term

A number with terminal decimal expansions have the denominator  in the form,
2^m 5ⁿ where m & n ∈ W.
The number 
Which the denominator is in the form,
 with m = 2 , n = 3.
Hence, it has terminal decimal expansion.

Diameter of first circle = d₁ = 36 cm
Diameter of second circle = d₂ = 20 cm
∴ Circumference of first circle = πd₁ = 36π cm
Circumference of second circle = πd₂ = 20π cm
Now, we are given that,
Circumference of circle = Circumference of first circle + Circumference of second circle
πD = πd₁ + πd₂
⇒ πD = 36π + 20π
⇒ πD = 56π ⇒ D = 56
⇒ Radius = 56/2 = 28 cm

A.P : a , b , . . . . . . . . . . . . . .2a

1st term= a1 = a

2nd term = a2= b

nth term = an = 2a

d = a2 - a1 = b-a

an = a1 + (n-1)d = a + (n-1)(b-a) = 2a

(n-1)(b-a) = a

(n-1) = a / (b-a)

n = a / (b-a) + 1 = b / ( b -a )

 

Let the two numbers be x and x+66.

Since, the LCM is 360, there must be 5,2 and 3 as the prime factors of the two numbers.

So, one pair is 24 & 90, because 90−24=66.

Also, 24=2×2×2×3

90=2×3×3×5

∴ LCM=2×2×2×3×3×5=360.

So, the numbers are 24 and 90.

⇒   We have the sequence, 1,2,3.......n
⇒   This is an AP, with the initial term a=1 and the common difference d=1.
∴   The sum of n terms of an AP is given by,


→   Arithmetic mean of n numbers a1​,a2​,a3​,a4​,...an​ is given by the formula

p(x) = (k - 1)x² + kx +1

One zero of polynomial is - 3 i.e. p(-3) = 0
⇒ (k - 1) (-3)² + k(-3) + 1 = 0
⇒ 9k - 9 - 3k + 1 = 0
⇒ 6k - 8 = 0
⇒ k = 8/6 = 4/3

We have,

∠C = 90°

AB + BC = 25 cm and AC = 5 cm

Let BC be x cm, then AB = (25 – x) cm

By using Pythagoras theorem,

AB² = BC² + AC²

⇒ (25 – x²) = x² + (5)²

⇒ 625 – 50x + x² = x² + 25

⇒ 50x = 600

⇒ x = 600 / 50 = 12

Hence, BC = 12 cm

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

Begin by noting that squaring (1 - 4y) gives (1 - 4y)² = (-1)² · (4y - 1)², which simplifies to (4y - 1)².

The expression then becomes (16y² - 1) + (4y - 1)².

Recognize that 16y² - 1 is a difference of two squares and factors as (4y - 1)(4y + 1).

Since (4y - 1) appears as a factor in both terms, it is one of the factors of the entire expression.

UNESCO is a United Nations' organization that uses education, culture and science as a medium to promote international collaboration and lead to peace and security in the world.

Indian education structure and management were guided by New Education Policy, of 1986 for a long time (almost 34 years). In the meantime, a lot of changes have taken place globally as well as a debate has also emerged in India about a ‘Bharat-centric’ policy on education.

• In order to look into those, a new committee was set up under the chairmanship of Dr. K. Kasturirangan in June 2017. After reviewing the suggestions, the committee finalized the policy under the name National Education Policy, 2020 on July 29, 2020. 

Key Points

Major recommendations of the policy were -

• The aim of equity and inclusion is now at the heart of the new NEP so the classroom should be inclusive.
• Ensuring universal access at all levels of schooling from pre-primary school to Grade 12.
• Ensuring quality early childhood care and education for all children between 3-6 years.
• New Curricular and Pedagogical Structure (5+3+3+4)including foundational, preparatory, middle, and secondary.
• Establishing National Mission on Foundational Literacy and Numeracy.
• Emphasis on promoting multilingualism and Indian languages. 
• Exposure to vocational education in school and higher education system.
• Focus on Formative and Diagnostic Assessment.
• Setting up multidisciplinary education and research universities(MERUs).
• Setting up of National Research Foundation(NRF).
• Multidisciplinary approach and focus on creative and divergent thinking.
• Experiential learning using previous knowledge and experiences.
• Teacher Education - 4-year integrated stage-specific, subject-specific Bachelor of Education.

Hence, it is concluded that all the above options are correct.

Excessive strictness is a negative trait that can lead to resistance in students. The teacher must strive to create an atmosphere where the students can learn without fearing of being ridiculed or belittled. They need an environment which is safe to learn by their mistakes.

Mr. Rathore uses a lot of audio-visual aids while teaching. The main reason for doing so is to take care of the requirements of all the children. Audio-visual aids make the learning permanent. They stimulate both aural and visual senses of children. Some children understand better on observation i.e. visual, whereas other students understand better on aural stimulation. Thus, requirements of all the students are taken care of.

In psychology, individual differences refer to the extent and kind of variations or similarities among people on some of the important psychological aspects such as intelligence, personality, interest, and aptitude.

National Education Policy 2020 is India’s First 21st Century Education Policy. Which makes many relevant changes in the education system from elementary education to Higher education.

Key PointsAccording to NEP 2020:

• ​A "5+3+3+4" curriculum framework is planned as part of the 2020 education reform.
• Based on age divisions, NEP 2020 has divided schooling into several phases.
• The policy prioritizes three years of preschool and twelve years of formal education.

Thus, classes 3rd to 5th are​ included in the preparatory stage as per the new education policy 2020

Theory of multiple intelligence was given by Howard Gardner and he proposed eight different intelligences to determine human potential.

In the triarchic theory, three types of intelligence proposed by Robert Sternberg are: Analytical, Creative and Practical.

World Wildlife Fund for Nature, INDIA is a non-governmental organisation working in the field of the wilderness preservation, and the reduction of human impact on the environment.
The others are governmental organisations.

Trapezoid, Rhombus, and Parallelogram are the 2 dimensional figure.

While;

Prism is a 3-dimensional figure.

Hence, "Prism" is the correct answer.

Important Points