KVS TGT Math Mock Test - 5 - KVS PGT/TGT/PRT MCQ

The most suitable idiom to replace the bold part of the sentence is "fell foul of."
The phrase "fell foul of" means to get into trouble or conflict with rules, laws, or expectations, which fits the context of Meghan breaking Wimbledon etiquette.

So, the sentence would be-Meghan isn't a stranger to breaking the rules after she recently fell foul of Wimbledon etiquette.

The sentence "I saw him leaving the house" is in the active voice.

The correct option that expresses the same sentence in the passive voice is:

A. He was seen leaving the house by me.

सरकारी शब्द के निर्माण में उपसर्ग का प्रयोग नहीं हुआ है।
'सरकार + ई = सरकारी' इसमें किसी उपसर्ग का प्रयोग नही हुआ है।Key Points

• उपसर्ग - वे शब्द जो किसी अन्य शब्द के प्रारंभ में लगकर उसका अर्थ बदल देते है।
• उदाहरण - हम + दर्दी, खुश + बू, बद + नाम , अध् + खिला आदि।

Additional Information

Mistake Points

• खुशबू शब्द उर्दू उपसर्ग से निर्मित है

दिये गए विकल्पों में से ‘रामायण’ शब्द ‘पुल्लिंग’ नहीं है। अतः इसका सही उत्तर विकल्प 3 ‘रामायण’ होगा, अन्य विकल्प सही उत्तर नहीं हैं।

अन्य विकल्प:

विशेष:

The Great Living Chola Temples, located in Tamil Nadu, are a World Heritage Site associated with the Chola dynasty. This site includes three magnificent temples: Brihadeeswarar Temple at Thanjavur, Brihadeeswarar Temple at Gangaikonda Cholapuram, and Airavateshwarar Temple at Darasuram. These temples showcase the architectural grandeur and artistic accomplishments of the Chola period.

Skinner is a behaviorist who is responsible for giving the operant conditioning theory. Based on his theory he gave the laws if learning.

Key Points

• Skinner gave the concept of operant conditioning which states the role of reinforcers in the development of learning.
• He believes that learning is not instant and is accompanied by the shaping of behavior.
• Shaping refers to the development of behavior through a gradual process.
• He believed that positive reinforcers or reward leads to the strengthening of behavior and negative reinforcers lads to a diminishing effect.

Hence, we conclude that according to Skinner, the development of a learner is a continuous and gradual process.

Individual difference: Every child is unique and different from others. It should be kept in mind that learners possess different abilities, and personalities, and belong to different backgrounds. So, the stimulus needs of every learner will be different. Teaching has to be done keeping in mind the individual differences and problems arising out of it.

Key Points

Grouping students by Ability (Homogeneous grouping):

• Generally confused with discrimination, ability grouping is a measure in which students of similar traits are grouped so that the teacher can choose a compatible teaching method.
• Ability grouping is a method in which you look at the ability of each student individually and place him/her in a group with other students possessing the same ability.
• For example, students with proven high, average, and low abilities in Science performance are placed in three separate groups.
• You can give challenging tasks to the high-ability group whereas the low-ability group is given simple tasks to strengthen their understanding and skill in mathematical concepts and operations.
• It gives the students an opportunity to put their ideas forward and with a combined effort, come up with an appropriate solution as per their ability levels.
• The low-ability students undoubtedly require your personal attention and hence this type of grouping can be done for enrichment or remedial purposes. 

Hence, we conclude that the best-informed opinion of ability grouping is that it eliminates the problem of individual differences.

The tools that are employed to spread culture and really pass it along are agents of socialization. Agents are therefore individuals, groups, and institutions that aid in our understanding of the social environment. Key Points

• Although the family may also include close friends and/or neighbors, it is more common for it to consist of parents, siblings, grandparents, aunts, uncles, cousins, etc. These family members impart the necessary knowledge to a youngster. They teach the child how to use things like clothing, computers, eating utensils, books, and bikes as well as how to relate to others (some as "family," others as "friends," still others as "strangers," teachers, or neighbors), as well as how the world functions (what is "real" and what is "imagined."
• The process of socialization is not just limited to the family. It consists of a range of groups and institutions through which people learn the culture of their society.
• The most significant institution for delivering formal education is the school. It is referred to as a social transformation organization. Children are socialized in schools via lessons on citizenship and pride in one's country.
• One other socializing tool is the media. Our political opinions, popular cultural preferences, and perceptions of women, people of color, and homosexual people, among many other beliefs and behaviors, are influenced by television programmes, motion pictures, popular music, magazines, websites, and other forms of mass media. Media helps children to directly interact with the world through various online portals.

Hence, it is concluded that Both 2 and 3 are the correct option.

The term ‘development’ refers to qualitative changes in an individual such as a change in personality or other mental and emotional aspects. However, very often growth and development are used interchangeably. The process of development continues even after the individual has attained physical maturity (growth). The individual is continuously changing as he/she interacts with the environment.

Important Points

Development is governed by certain principles that apply to all individuals. Let us learn about these principles in this section. The various principles of development are: 

• Development involves change: The human being is never static. From the moment of conception to the time of death, the person is changing. The major changes include changes in size and proportions, acquisition of new mental, motor, and behavioral skills. Each year along with an increase in Sufi’s height and weight, her mental abilities also increased. For example, Sufi showed language development and a better ability to reason and remember.
• The development follows a fixed pattern/sequence: Each child may have a different rate of development. However, the development of all human beings follows a similar pattern, similar sequence, or direction.
• Development proceeds stage by stage: The development of the child occurs in different stages. Each stage has certain unique characteristics. There are individual differences in the rate of growth and development. Therefore, the age limit for different stages should be regarded as just approximate. All children pass through these stages of development at or around the age levels suggested for them. Speech gradually develops from cooing, babbling, monosyllabic sounds to complete sentence formation.
• Development is predictable: Because the rate of development is constant for a child, so it is possible to predict certain development outcomes at an early age. The X-ray of the wrist will predict the approximate height of the child.
• Development proceeds from general to specific: In all the phases of prenatal (before birth) development and post-natal (after birth) life, the child’s responses are from general to specific. General activity proceeds to a specific activity. For example, when Sufi was less than 3 months of age and was shown a rattle, she would get excited and move her arms and kick her legs. This is a general response. At 5 months of age, she would reach out to hold it in her hand. This is a specific response.

Hence, we can conclude that the above observation is reflected through the Development proceeds stage by stage principle of development.

As three cards have been removed, there are now 49 cards in the deck.

As the three cards removed were the 3 spades face cards, there are only 3 black face cards left (the J, Q, K of clubs).

P ( black face card) = ( favourable outcomes ) / ( possible outcomes )

= 3 / 49

Length of diameter = 2 × radius.

So, Reason is false.

Also, chord is a line connecting two points on a circle. The farthest points are the ones which are collinear to the centre of the circle. Points collinear to the centre of the circle are joined by the diameter. Hence diameter is the longest chord. Assertion is correct but Reason is false.

We know that there are 52 weeks in a year. 

There are 7 days in a week

52 weeks will be  to 7*52=364 days. 

The remaining 1 day can be any day among Monday, Tuesday,..., Sunday. 
Sample space has seven days as options.  
So probability of getting 53 Sundays in a non-leap year is 1/7

Let, p(x) = x²-10x+k
since, 8 is the root of p(x)
∴ p(8) = 0
8²-10(8)+k = 0
64-80+k = 0
-16+k = 0
⇒ k = 16 .

Let the ones's digit is y

and ten's digit is x

so, two digit number = 10x + y

and the number formed by interchanged the digits = 10y + x

10x + y + 10y + x = 110

⇒ 11x + 11y = 110

⇒ x + y = 10

⇒ x = 10 - y      ---- (1)

10x + y - 10 = 5(x + y) + 4

⇒ 10x + y - 10 = 5x + 5y + 4

⇒ 10x - 5x + y - 5y = 4 + 10

⇒ 5x - 4y = 14      ---- (2)

5(10 - y) - 4y = 14 (From 1)

⇒ 50 - 5y - 4y = 14

⇒ 50 - 9y = 14

⇒ -9y = 14 - 50

⇒ -9y = - 36

⇒ y = 4

so, x =10 - 4

⇒ x = 6

Two digit number = 10 × 6 + 4

⇒ 64

∴ Two digit number is 64.

A = 2n + 13
B = n + 7

1) If the value of n = 1, then

A = (2*1) + 13
= 2 + 13
= 15

B = 1 + 7
= 8

Now, A = 15 and B = 8
HCF of 15 and 8 is 1.

2) If the value of n =2 

A = (2*2) + 13
= 4 + 13 
= 17

B = 2 + 7 
= 9

A = 17 and B = 9
HCF of 17 and 9 is 1.

3) If the value of n 3

A = (2*3) + 13
= 6 + 13
= 19

B = 3 + 7
= 10

A = 19 and B = 10
HCF of 19 and 10 is 1

4) If the value of n = 4
A = (2*4) + 13
= 8 +13 
= 21

B = 4 + 7
= 11

A = 21 and B = 11

HCF of 21 and 11 is 1

5) If the value of n = 5
A = (2*5) + 13
= 10 + 13
= 23

B = 5 + 7
= 12

A = 23 and B = 12
HCF of 23 and 12 is 1

6) If the value of n = 6
A = (2*6) + 13
= 12 + 13
= 25

B = 6 + 7
= 13

A = 25 and B = 13
HCF of 25 and 13 is 1

7) If the value of n = 7
A = (2*7) + 13
14 + 13
= 27

B = 7 + 7
= 14

A = 27 and B = 14
HCF of 27 and 14 is 1

8) If the value of n = 8
A = (2*8) + 13
16 + 13
= 29

B = 8 + 7
= 15

A = 29 and B = 15
HCF of 29 and 15 is 1

9) If the value of n = 9
A = (2*9) + 13
18 + 13
= 31

B = 9 + 7
= 16

A = 31 and B = 16
HCF of 31 and 16 is 1

10) If the value of n = 10 
A = (2*10) + 13
20 + 13
= 33

B = 10 + 7
= 17

A = 33 and B = 17
HCF of 33 and 17 is 1

We have seen that whatever the value n has, the HCF of A and B (separate values they hold in each situation) is always 1. It means we can take any value of n and the HCF will be 1.

Sum of 100 observations = 100 x 49 = 4900
Correct sum = 4900 - [40 + 20 + 50] + [60 + 70 + 80] = 5000
∴ Correct mean = 5000/100 = 50

We have circumference which is equal to the boundary of the circle. So we have one revolution equal to circumference of the circle which is equal to 4
Distance covered by the roller=circumference of the roller*number of revolutions
⇒ number of revolutions = distance covered by the roller/circumference of the roller
= 40/4 = 10

Let the three angles of a triangle be a - d, a and a + d.

Therefore, one angle is of 60° and other is 90° (given). Let third angle be x° . then

Therefore the angles of the right angled triangle are 30°, 60°, 90°.

the angle subtend at center is double of the angle at the arc

so:    2x=80

so x=40 

Here p(3) = 0
⇒ 4(3)² - 6 x 3 - m = 0
⇒ 36 - 18 - m = 0 ⇒ m =18
∴ Value of m is exact divisior of 36.

Therefore, the correct answer is Option 1: 22 cm.

Given: x³+x²−2x−3 = (x−2)(x²+ax+b)+5

Dividing L.H.S. by (x−2)

∴ (x-2)(x²+3x+4)+5 = (x-2)(x²+az+b)+5 
Comparing both side, we have a = 3, b = 4

x = 3 satisfies only the equation x²−5x+6 = 0
As (3)²−5×3+6 = 0
⇒ 9−15+6 = 0
⇒ 15−15 = 0
⇒ 0 = 0
⇒ L.H.S. = R.H.S.

Given equation is x²-5x+7=0
We have discriminant as b²-4ac=(-5)²-4*1*7= -3
And x = , Since we do not have any real number which is a root of a negative number, the roots are not real.

 Therefore,  will terminate after 6 places of decimals.