Bihar STET Paper 1 Mathematics Mock Test - 4 - Bihar PGT/TGT/PRT MCQ

Let the river BC be the width of 60 m

and angle of elevation = 30°
To find: Height of the tree AC

Therefore, the height of the tree is 20 √3m.

The highest power of the variable is known as the degree of the polynomial.

√2x^0 = √2
hence the degree of the polynomial is zero.

x² + 7x + 10 = (x + 2)(x + 5)

So, the value of x² + 7x + 10 is zero when x + 2 = 0 or x + 5 = 0

Therefore, the zeroes of x² + 7x + 10 are –2 and –5.

Sum of zeroes = -7 = –(Coefficient of x) / (Coefficient of x²)

Product of zeroes = 10 = Constant term / Coefficient of x²

2x+15+3x-25=180
[co interior angles]
5x-10=180
5x=190
x=38
option d is right answer

a+2d=600
a+6d=700
4d=100
d=25
so a+2x25=600
a+50=600
a=550

The HCF of two consecutive even numbers is 2.

Let a be any positive integer and b = 2
Then by applying Euclid’s Division
Lemma, we have, a = 2q + r where 0 ⩽ r < 2 r = 0 or 1
Therefore, a = 2q or 2q+1 
Therefore, it is clear that a = 2q i.e., 
a is an even integer in the form of 2q

Since 5 and 8 are the remainders of 70 and 125, respectively. Thus after subtracting these remainders from the numbers, we have the numbers
65 = (70 − 5), 117 = (125 − 8) which is divisible by the required number.
Now required number = H.C.F of (65,117)

∵ In ∆ABC,
AB = AC
∴ ∠B = ∠C    ...(1)
| Angles opposite to equal sides of a triangle are equal
In ∆ABC,
∠A + ∠B + ∠C = 180°
| Sum of all the angles of a triangle is 180°
⇒ 90° + ∠B + ∠C = 180°
| ∵ ∠A = 90° (given)
⇒    ∠B + ∠C = 90°    ...(2)
From (1) and (2), we get
∠B = ∠C = 45°.

Let AC be the ladder of lenth 14 m and BC = 7 m

Let angle of elevation ∠ACB = θ ∴ cos θ = BC/AC

5³ - 1³ can be solved using the identity ;

(a³ - b³) = (a - b) (a² + b² + ab)

5³ - 1³ = ( 5 - 1 ) ( 5² + 1² + 5*1)

=(4) (25 + 1 + 5)

= (4) (31)

= 124

Segment of a Circle: The region between a chord of a circle and its associated arc.

ANSWER :- d

Solution :- f(x) = ax - a……………………..(1)

x - 1 = 0

x = 1

Putting in eq(1)

(1)x - 1 => x - 1

For eg :- if we put x = 100

Putting in eq(1)

(100)x - 100 => x - 100

So, all the values of a

Two coin tossed
Total sample space = {HH, HT, TH, TT}
Sample space for getting atmost one head = {TT, TH, HT}
P(s) = 3/4 

​    

The zero of x + 1 is –1

                And by remainder theorem, when

                p(x) = x³ + 3x² + 3x + 1 is divided by x + 1, then remainder is p(–1).

                ∴ p(–1) = (–1)³ + 3 (–1)² + 3(–1) + 1

                = –1 + (3 × 1) + (–3) + 1

                = –1 + 3 – 3 + 1

                = 0

                Thus, the required = 0

Let next term be T4

The given AP is √8, √18, √32,......... On simplifying the terms, we get: 

NEP 2020 suggests a flexible undergraduate education system with a duration of 3 or 4 years, depending on the choices made by students.

Scaffolding process in education is a teaching strategy to expedite children's learning process. Using this method, teachers first demonstrate how to deal a problem, then go back and offer support as and when required. Once basic learning is done, they give prompts, ask questions, cues to make the child learn and build the concept on what he has already learned.

Naresh loves to work without supervision and set goals that are challenging, but not impossible. He learns best in solitude; thus he is a intrapersonal learner. The intrapersonal learners, as opposed to interpersonal, are the ones who work and learn best when they are alone.
They are also motivated by internal forces, rather than external ones. So, Naresh is motivated by internal forces.

The aim of the National Education Policy (NEP), 2020, as proposed by the government of India, is to increase the Gross Enrolment Ratio (GER) in higher education to 50% by 2035.
Important Points

The Gross Enrolment Ratio (GER) in higher education in India is calculated as the number of students enrolled in higher education institutions (HEIs) as a percentage of the population of the group which is officially defined as eligible for higher education.

• The aim to increase the GER to 50% by 2035 is a part of broader goals of the NEP 2020, which include universalization of education from pre-school to secondary level, extension of Right to Education Act 2009 to cover children of ages 3 to 18, and major reforms in higher education among others.

So, the answer to your question is: 50%
Additional Information

• The policy also envisions a restructuring of higher education institutions into three types - Research Universities, Teaching Universities, and Autonomous degree-granting colleges, all of which would have autonomy to innovate on matters of curriculum, pedagogy, and assessment.
• The NEP 2020 also advocates the use of technology in education, making education more student-centric, fostering critical thinking, and reducing the content load in the curriculum.
• Overall, the objective of increasing the GER to 50% in higher education by 2035 is part of the NEP's broader aim to overhauling the Indian education system, making it more modern, inclusive, and quality-oriented.

Teachers in multi-age classrooms are encouraged to use a range of teaching and assessment strategies to address the different ages of their students, implement flexible patterns of grouping, accommodate specific learning goals, engage all students in active participation, and promote a climate of respect for oneself and others.

The stage of the embryo which nearly resembles a human being is called a fetus. Learning starts at fetal stage when a child starts reacting to different stimuli, as the sense organs are developed by this time.
The fetal nervous system starts developing very early in pregnancy. The main subdivisions of the brain are, in a basic form, visible at five gestational weeks. At about gestational weeks 25-29, the fetus is even able to hear internal (e.g. from the maternal gastrointestinal system) and external sounds. So, obviously the fetus gets a vague idea from the external environment through its senses, far before birth. Some studies even demonstrate that fetal heart rate patterns change distinctively, depending on whether the unborn child is exposed to the maternal voice or another female voice.

Individual differences refer to how individuals differ from each other. Different people have different interests; and their behavior is influenced by these interests, likings, dislikings, values, beliefs, etc. 
For example, you may like dancing and gossiping with friends, but your friend may not like these

The instructions of a teacher must be based on the child's abilities, aptitude and interest. His ability to grasp and apply things, his natural ability to justify learning and his interest to learn a particular thing could decide the teaching strategies, as the education these days has become more child-centered. The teacher must be aware of the child's abilities, aptitude, and interest, which is possible only through proper evaluation.

Project Tiger is the most popular untamed life preservation task of India, which was started in 1973 to secure the reducing population of Indian tigers.

Preparing the family tree using the following symbols:

A possible tree diagram will be:

Praveena’s father’s sister’s mother is the grandmother of Sandhya.

Hence, "Grandmother" is the correct answer.