Bihar STET Paper 1 Mathematics Mock Test - 2 - Bihar PGT/TGT/PRT MCQ

Let AB and CD be two perpendicular diameters of a circle with centre O.

Now, ∠ABC = 90º

[Angle in semicircle is a right angle]

Similarly ∠ACD = ∠ADC

= ∠BAD = 90º ...(1)

In ΔAOB and ΔAOD, we have

AO = AO (Common)

∠AOB = ∠AOD (Each 90º, given)

BO = OD (Radii of circle)

ΔAOB ≅ ∠AOD(By SAS congruence)

AB = AD (By C.P.C.T.)

Similarly, we have,

AD = DC , DC = BC; BC = AB

Hence, AB = BC = CD = DA ...(2)

Also, it is given that diagonals of ABCD intersect at

90º ...(3)

By (1), (2) and (3) ABCD is a square.

Factors are following:
5 = 5 x 1
15 = 5 x 3
20 = 2 x 2 x 5

LCM = 5 x 3 x 2 x 2 = 60
HCF = 5
Ratio = LCM/HCF = 60/5 = 12/1 = 12:1

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

A non-leap year has 365 days

A year has 52 weeks. Hence there will be 52 Sundays for sure.

52 weeks = 52 x 7 = 364 days .

365– 364 = 1 day extra.

In a non-leap year there will be 52 Sundays and 1day will be left.

This 1 day can be Sunday, Monday, Tuesday, Wednesday, Thursday, friday, Saturday, Sunday.

Of these total 7 outcomes, the favourable outcomes are 1.

Hence the probability of getting 53 sundays = 1/7.

Let AB be the tree and AC be its shadow.


Let ∠ACB = θ

sum=n/2x(2a+(n-1)d )
       =50/2(2x3+ (50-1)3 )
       = 25 ( 6+49x3 )
       = 25x 153
       = 3825

If The graph of the polynomial f(x) = 2x – 5 intersects the x – axis then y = 0 
2x−5 = 0 ⇒ x = 5/2

Mean = Mode + 3/2 [Median – Mode]
Mean= Mode+3/2 Median-3/2Mode
2 Mean=2 Mode+3 Median-3 Mode
3 Median=2 Mean + Mode
So C is the correct answer.

use factor theorem as x+2 is factor of
x³-2ax²+16 so put x = -2 and equate the equation to 0
so putting x = -2
(-2)³-2a(-2)²+16 =0
-8-8a+16=0
-8a = -8
a = 8/8= 1
So,
a = 1

Let AB be the electric pole of height 10√3 m and its shadow be BC of length 10 m And the angle of elevation of the
​

Internal angles of a regular Hexagon = 120°

Therefore, AP = x + 7 m Now, AB = 17 m and since AB is a diameter.

Apply Pythagoras theorem,

AB² = AP² + BP²

172 = (x + 7)² + x²

289 = x² + 49 + 14x + x²

x² + 7x – 120 = 0

LCM of 50 and 48 = 1200
∴ 1200 sec = 20 min
Hence at 12.20 pm they will beep again for the first time.

We obtain zeros of the polynomial when y=0. Observing the points we see that we have point (5,0) which means when y=0 , x= 5 this means x=5 is a solution of the polynomial.

The behavioristic approach focuses on the mechanics of learning.

• Behaviorist approach is the study of cognitive development that is concerned with the basic mechanics of learning. Learning - changes in behavior because of experiences (excluding changes due to fatigue, injury, or drug effects), is at the center of this approach.
• The central tenet of behaviorism is that an organism learns behavioral adaptation, whose learning is governed by the principles of association (forming connections between ideas and events).
• Behaviorism stands apart from other approaches by its emphasis on the relationship between observable behavior (responses) and environmental events (stimuli).

Behaviorism or the behaviorist approach lays stress on the role of environmental stimuli in determining the way we act. Behaviorism is also referred to as behavioristic psychology.

The communication ability of a teacher helps her to establish a rapport with the students. A teacher who is a good communicator can understand the dilemma of students, and can effectively solve their problems.

NEP 2020 recommends the use of the mother tongue or local language as the medium of instruction for foundational education.

Howard Gardner's theory of multiple intelligences emphasizes the unique abilities of each individual that removes the idea of valuing intelligence as a single general ability for all. According to him, the learners should not be restricted to one modality of learning. As per his theory, intelligence is a physiological ability of processing information, activated in a cultural setting to reach the specific solution of a problem.
Hence, the correct answer is, 'The unique abilities of each individual.'

Educational psychology is a must for solving problems like backwardness, cheating, indiscipline, and improper environment. It is the branch of psychology which is applied to the field of education and studies the behaviour of students in educational settings.

Antonie Van Leeuwenhoek was a Dutch scientist who is credited with being the first person to observe and describe microorganisms using a microscope. He made his microscopes, which were far more powerful than any that had been made before. Van Leeuwenhoek's discoveries revolutionized our understanding of the microscopic world and laid the foundation for the field of microbiology.

By increasing his speed by 25%, he will reduce his time by 20%. (This corresponds to a 6 minute
drop in his time for travel—since he goes from being 10 minutes late to only 4 minutes late.)
Hence, his time originally must have been 30 minutes. Hence, the required distance is 20 kmph ×
0.5 hours = 10 km.