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MPTET Varg 2 Math Mock Test - 6 - MPTET MCQ


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30 Questions MCQ Test - MPTET Varg 2 Math Mock Test - 6

MPTET Varg 2 Math Mock Test - 6 for MPTET 2024 is part of MPTET preparation. The MPTET Varg 2 Math Mock Test - 6 questions and answers have been prepared according to the MPTET exam syllabus.The MPTET Varg 2 Math Mock Test - 6 MCQs are made for MPTET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MPTET Varg 2 Math Mock Test - 6 below.
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MPTET Varg 2 Math Mock Test - 6 - Question 1

Select the option that is expressed in passive voice.

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 1

The correct answer is "The experiment is being conducted by the team"

Key Points

  • Option 4) "The experiment is being conducted by the team" is expressed in passive voice.
  • In passive voice, the subject of the sentence is acted upon by the verb, rather than performing the action.
  • In this case, the subject "the experiment" is being acted upon by the verb "being conducted", the team is the agent performing the action.
  • On the other hand, in active voice, the subject of the sentence performs the action of the verb.
  • The sentences in options 1, 2, and 3 are in active voice since the subject (engineers, researchers, and scientist) is performing the action (problem solving, solution discovering, data studying)

Thus, option 4 is the correct answer.

MPTET Varg 2 Math Mock Test - 6 - Question 2

Direction: Fill in the blank with the correct conjunction.

I did not go to the show ______ I had already seen it.

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 2

The correct answer is 'Because'.

Key Points         

  • Because  is used for the reason that; since. 
    • For example: I was absent from school because I had a cold.
  • Though means despite the fact that; although.
  • Yet means but at the same time; but nevertheless.
  • If means (introducing a conditional clause) on the condition or supposition that; in the event that.
  • By referring to the above explanation and the context of the given sentence, it can be concluded that Because is the appropriate option to be chosen for filling the blank.

Hence, the correct answer is option 3.

Hinglish 

  • "Because" का उपयोग 'क्योंकि' या ' जिसके कारण' के लिए किया जाता है। 
  • "Though" का अर्थ होता है 'हालांकि' या 'फिर भी'।
  • "Yet" का अर्थ होता है 'लेकिन फिर भी' या 'तथापि'।
  • "If" का उपयोग शर्तीय वाक्यांश को परिचयित करने के लिए किया जाता है, जिसका अर्थ होता है 'यदि' या 'अगर'।
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MPTET Varg 2 Math Mock Test - 6 - Question 3

Which of the following aspirational districts became the first-ever district in India for on-ground deployment of innovative 5G use cases offered by startups?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 3

The correct answer is Vidisha.

In News

  • Vidisha, an aspirational district of Madhya Pradesh became the first-ever district in India for on-ground deployment of innovative 5G use cases offered by startups.

Key Points

  • It is a joint initiative by Vidisha District Administration and the Centre for Development of Telematics (C-DOT), Department of Telecommunications (DoT) under the guidance of Additional Secretary (Telecom) and Administrator USOF.

Additional Information

  • Madhya Pradesh:
    • Chief Minister - Mohan Yadav.
    • Governor - Mangubhai Chhaganbhai Patel.
    • State Animal - Barasingha.
    • State Bird - Indian paradise flycatcher.
    • National Parks - Bandhavgarh National Park, Fossil National Park, Kanha National Park, Madhav National Park, Panna National Park, Pench (Priyadarshini) National Park, Sanjay National Park, Satpura National Park.
    • Dams - Bansagar Dam (Sone river), Bheemgarh dam (Wainganga river), Gandhi Sagar Dam (Chambal River), Indira Sagar Dam (Narmada River) and Omkareshwar Dam (Narmada River).
    • Registered GI - Chanderi Fabric, Leather Toys of Indore, Bell Metal Ware of Datia and Tikamgarh, Ratlami Sev.
MPTET Varg 2 Math Mock Test - 6 - Question 4
Fluid Intelligence depends on_____________________.
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 4

"Raymond Cattell" is a British psychologist.  Cattell (1971) on the basis of factor analysis, has divided the general factor of intelligence (G) into two parts- fluid intelligence (GF) and crystallized intelligence (GC). The former is innate, biologically, or genetically determined and the latter is acquired based on cultural educational experience.

Key Points"Fluid intelligence" refers to the ability for abstract and logical thinking and does not require any previous knowledge. It is the ability to think and reason abstractly, as well as solve any new problem or task without any prior knowledge or experience.

  • It helps one to examine a novel problem, perceive the relationships and patterns that underlie the problem and solve it using logic.
  • The fluid intelligence of an individual increases rapidly during childhood, but declines in later adulthood.
  • It can be measured by tests of puzzle-solving, and spatial visualization. and block designs.
  • The measures of fluid intelligence(Gf) are- The Cattell Culture Fair IQ tests and The Raven’s Progressive Matrices.

Hence, from the above-mentioned points, we can conclude that fluid intelligence depends on neurological development. 

Additional Information"Crystallized intelligence" refers to an individual's ability to use acquired knowledge comes a combination of previous learning, past experiences, and the ability to apply that knowledge. 

  • An individual's intellectual achievement over the course of their life becomes better with age.
  • Crystallized intelligence can be measured through tests of general knowledge, use of language (vocabulary), and a wide variety of acquired skills (Horn & Cattell,1967).
  • Crystallized intelligence grows throughout the life span.
MPTET Varg 2 Math Mock Test - 6 - Question 5
The ratio of the ages of A, B and C, 5 years ago, was 4 : 5 : 7. The sum of their present ages is 135 years. What will be the sum of the ages (in years) of B and C, 3 years from now?
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 5

Given:

5 years ago, ratio of ages of A, B and C = 4 : 5 : 7.

Sum of their present ages = 135 years.

Concept used:

Total = Average × Number of entities

Calculation:

Let the common ratio be Q.

So, 5 years ago, the ages of A, B, and C are 4Q, 5Q, and 7Q respectively.

Now, their present ages are (4Q + 5), (5Q + 5), and (7Q + 5) respectively.

According to the question,

(4Q + 5) + (5Q + 5) + (7Q + 5) = 135

⇒ 16Q + 15 = 135

⇒ 16Q = 135 - 15

⇒ 16Q = 120

⇒ Q = 7.5

The present age of B = (5 × 7.5 + 5) = 42.5 years

The present age of C = (7 × 7.5 + 5) = 57.5 years

Now, 3 years from now, the sum of the ages of B and C

⇒ (42.5 + 3) + (57.5 + 3)

⇒ 106 years

∴ After 3 years from now, the sum of the ages of B and C will be 106 years.

MPTET Varg 2 Math Mock Test - 6 - Question 6

In a Physics practical, the average of 40 observations is 32. The average of the first 15 observations is 16, while the average of the next 16 observations is 20. Find the average of the remaining observations.

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 6

Given:

The average of 40 observations is 32.

The average of the first 15 observations is 16

The average of the next 16 observations is 20

Let the Remaining 9 observation average is X

Calculation:

Average =

40 × 32 = 15 × 16 + 16 × 20 + 9 × X

⇒ 1280 = 240 + 320 + 9X

⇒ 720 = 9X

⇒ X = 80

∴  The average of the remaining observations is 80.

Shortcut Trick 

MPTET Varg 2 Math Mock Test - 6 - Question 7

Which of the following is not an objective type test?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 7

Objective-type Test: Objective type tests have been in existence since 1920 onwards. These are very popular means of devices to test the students' knowledge. These made their appearance in an effort to overcome the difficulties/weaknesses which are faced in essay type tests. These are widely used in nursing education. Objective type tests include a large number of questions and statements (items). Answers are indicated by marking the correct response in a specified method. 

Key Points

Objective Type Test-

  • An objective type test item is characterized by its total objectivity and unambiguity in scoring. 
  • It has one and only one correct response.
  • Full marks are given for the correct response, which is unique, and no mark is given for an incorrect response.
  • Another characteristic of an objective type test item is that it is completely strummed.
  • Complete structuring of task limits student to the type of response called for.
  • It prevents bluffing and avoids the influence of writing skills.
  • The scoring of an objective type test item is not the only objective but also quick, easy, and consistent, which is its greatest advantage. 
  • Objective-type tests include multiple-choice, true-false, completion, matching, analogical test, recall type test and short answer test items. 

Thus from the above-mentioned points, it is clear that the Prognostic test is not an objective type of test. 

Mistake Points 

Prognostic test- It is used to predict future behavior on the basis of present abilities. 

MPTET Varg 2 Math Mock Test - 6 - Question 8
What is the simple interest (in ₹) earned on ₹12,400 at the 6% per annum for 15 months?
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 8

Formula:

SI = 

where-

P = Principal

SI = Simple Interest

R = Rate

T = Time

Calculation:

Time in years =  =  years

According to the question-

⇒ SI = 

⇒ SI = 186 × 5 = ₹930

The SI on the above sum is ₹930.

MPTET Varg 2 Math Mock Test - 6 - Question 9
A train runs at a speed of 28 kmph for 4 hours and at 30 kmph for 5 hours and the remaining 48 kms in 1 hour. What is the average speed in kmph ?
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 9

Given:

A train runs at a speed of 28 kmph for 4 hours and at 30 kmph for 5 hours and the remaining 48 kms in 1 hour.

Concept:

Average speed = 

Solution:

Distance D1 covered at a speed of 28 kmph for 4 hours,

D1 = 28 x 4 = 112 km

Distance D2 covered at a speed of 30 kmph for 5 hours,

D2 = 30 x 5 = 150 km

Distance D3 [ 48 km ] in 1 hour.

Total distance covered = 112 + 150 + 48 = 310 km

Total time taken to cover the distance = 4 + 5 + 1 = 10 hours

 Average speed = 

Average speed = 31 km/hr

Hence, option 4 is correct.

MPTET Varg 2 Math Mock Test - 6 - Question 10

Which of the following statements is not true ?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 10

The basic structure of mathematics includes arithmetic, algebra, geometry, and trigonometry that helps in learning the techniques to handle abstractions and structures.

  • The teaching of mathematics must develop attitudes to think, reason, analyze, and articulate logically.
  • The nature of mathematics highly influences the nature of the teaching-learning process in mathematics.

Key Points

  • Mathematics education aims to make mathematics an important part of children's life experiences.
  • To connect the real-life concrete experiences with mathematical knowledge and skills is the main purpose of mathematics education so that the students can co-relate their theoretical knowledge with its practical base.
  • And, like all the human knowledge, mathematics grows out of our concrete experiences. Such as we see the different kinds of shapes around us i.e., round, sphere, oval, and square which gives birth to the concept of shapes and figures in mathematics.
  • The mathematical concepts are hierarchical in nature as one mathematical concept is dependent on another or the understanding of one mathematical concept is a pre-requisite for another.
  • For example, to understand the concept of area and volume, first, it is required to know the concept of shapes and perimeter.
  • Every mathematical concept gives rise to more mathematical concepts as when we study the concepts of shapes or patterns as per the curiosity of learners, they wanted to learn more about the shapes in-depth which give rise to the concepts of area and volume, etc.

Hint

  • It is not necessary that a person who is good in history is also good in mathematics and vice-versa. As the subject of history mainly focuses on the study of our past and how our present evolved from our past whereas, on the other side, mathematics deals with real-life problems and finding their solutions.

Hence, it is concluded that "a person good in history is also good in mathematics and vice-versa" is not a correct statement.

MPTET Varg 2 Math Mock Test - 6 - Question 11

For the quadratic equation x2 - 20x + 100 = 0, Ifa and ß are the two roots for the equation, then find the value of (a22).

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 11

Given:

For the quadratic equation x2 - 20x + 100 = 0,

α and β are the two roots for the equation,

Concept used:

(1) For the quadratic equation ax2 + bx + c = 0,

If α and β are the roots for the equation, 

Therefore, 

α + β = 

α × β = 

(a + b)2 = a2 + b2 + 2ab

Calculation:

For the quadratic equation x2 - 20x + 100 = 0,

The sum of roots, α + β =  = 20

The product of roots, α × β =  = 100

Now, 

⇒ (α + β)2 = α2 + β2 + 2αβ

⇒ (20)2 = α2 + β2 + 2(100)

⇒ 400 = α2 + β2 + 200

⇒ α2 + β2 = 200

∴ The required answer is 200.

MPTET Varg 2 Math Mock Test - 6 - Question 12

Triangle ABC is right-angled at A and AD is perpendicular to BC. If BD = 7.5 cm and DC = 10 cm, then what is AD equal to ?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 12

Given:

BD = 7.5 cm

DC = 10 cm

Concept used:

In right ΔABC, ∠A = 90°

AD is perpendicular to BC

Then,

AD2 = BD × CD

Calculation:

Using the above concept

⇒ AD2 = BD × CD

⇒ AD2 = (7.5 × 10)

⇒ AD2 = 75 cm2

⇒ AD = 5√3 cm

∴ The required value of AD is 5√3 cm.

MPTET Varg 2 Math Mock Test - 6 - Question 13

If α and β are the zeroes of the polynomial x2 − 5x + k, where α − β = 1, then k = _________.

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 13

Given:

α and β are the zeroes of the polynomial x2 − 5x + k, where α − β = 1,

Concept used:

In quadratic equation ax2 + bx + c = 0

Sum of roots = -b/a 

Product of roots = c/a

Calculation:

Here,  x2 − 5x + k

Sum of roots (α + β) = -(-5)/1 = 5 --(i)

α − β = 1 (given)--(ii)

From (i) and (ii), we get

α = 3, β = 2

∴ product of roots (αβ) = k = 3 × 2 = 6

MPTET Varg 2 Math Mock Test - 6 - Question 14

Shiya has 270 coins with her. The number of 5 rupee coins is two times the number of two rupee coins and the number of 1 rupee coins is 3/2 times the number of 2 rupee coins she has. Find the total amount she has.

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 14

Given :

Total number of coins shiya had = 270

Ratio of 5 rupee, 1 rupee and 2 rupee coins = 4 : 3 : 2

Calculation :

Number of 5 rupee coins = 

Number of 1 rupee coins =  

Number of 2 rupee coins = 270 - (90 + 120) = 60

Total amount shiya had = 120 x 5 + 90 x 1 + 60 x 2 = Rs. 810

∴ The answer is Rs. 810 .

MPTET Varg 2 Math Mock Test - 6 - Question 15

The following line graph gives the ratio of the amount of imports by a company to the amount of exports from that company over the period from 2001 to 2007:

In how many of the given years exports more than the imports?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 15

Given:

The ratio of the amount of imports to the amount of exports of a company over the years given.

Calculations:

In the year 2001, the respective ratio is 0.6, that is,

Let import be 6x and export be 10x as, import: export = 6 : 10

In the year 2002, the respective ratio is 0.8, that is,

Let import be 8x and export be 10x as, import: export = 8 : 10

In the year 2003, the respective ratio is 0.3, that is,

Let import be 3x and export be 10x as, import: export = 3 : 10

In the year 2004, the respective ratio is 1.2, that is,

Let import be 12x and export be 10x as, import: export = 12 : 10

In the year 2005, the respective ratio is 1.5, that is,

Let import be 15x and export be 10x as, import: export = 15 : 10

In the year 2006, the respective ratio is 0.9, that is,

Let import be 9x and export be 10x as, import: export = 9 : 10

In the year 2007, the respective ratio is 1.6, that is,

Let import be 16x and export be 10x as, import: export = 16 : 10

From the above information, we can conclude that in the years 2001, 2002, 2003 and 2006 export is more than that imports.

∴ The answer is 4.

MPTET Varg 2 Math Mock Test - 6 - Question 16

The angle of Quadrilateral are in the ratio 2 : 5 : 3 : 8 Then the sum of Supplement of largest angle and Complement of smallest angle 

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 16

Given:

The angle of Quadrilateral are in the ratio 2: 5 : 3 : 8

Concept:

Sum of supplementary angles = 180∘ 

Complementary angles: When the sum of two angles is 90°, then the angles are known as complementary angles.

The Sum of angles of Quadrilateral is 360°

Solution:

The angle of Quadrilateral are in the ratio 2: 5 : 3 : 8

∴  2x + 5x + 3x + 8x = 360° 

⇒ 18x = 360°

⇒ x = 20°

∴ the angles of Quadrilateral are 40°, 100°, 60°, 160°  

Now,

Let Supplement of Largest angle = ∠b and The Complement of the Smallest angle = ∠d 

∴ ∠b + 160° = 180° 

⇒ ∠b = 20° 

and ∠d + 40° = 90° 

⇒ ∠d = 50° 

The sum of Supplement of largest angle and Complement of the smallest angle 

∴ ∠b + ∠d = 20° + 50° = 70°        

∴The sum of Supplement of largest angle and Complement of the smallest angle  = 70° 

MPTET Varg 2 Math Mock Test - 6 - Question 17

The curved surface area of a cylinder is 264 cm2 and its height is 14 cm. its volume is

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 17

Given:

The curved surface area of the cylinder = 264 cm2

Height = 14 cm

Formula Used:

The curved surface area of the cylinder = 2πrh

Volume of cylinder = πr2h

Calculation:

Curved surface area = 264 cm2

⇒ 2πrh = 264

⇒ 2×  × r × 14 = 264

⇒ r =   =

r = 3 cm

Using above formula

⇒ Volume of cylinder = πr2h

⇒ Volume =  × 32 × 14 = 396 cm3

∴ The correct answer is 396 cm3.

MPTET Varg 2 Math Mock Test - 6 - Question 18
Motivation, activity and adjustment is related to which aspect of mathematics teaching?
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 18

Motivation, activity, and adjustment in mathematics teaching are related to the cognitive aspect.

 Key Points

  • The cognitive aspect of mathematics teaching focuses on the mental processes and understanding involved in learning and problem-solving.
  • Motivation plays a crucial role in engaging students and encouraging their active participation in the learning process.
  • Activity refers to the active involvement of students in hands-on and interactive learning experiences.
  • Adjustment involves adapting teaching strategies and approaches to accommodate individual student needs and promote effective learning.
  • These aspects collectively contribute to the cognitive development and understanding of mathematics concepts.

Therefore, the correct answer is option 1) Cognitive aspect.

MPTET Varg 2 Math Mock Test - 6 - Question 19

From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of a boat is 15°. The distance of the boat from the foot of lighthouse is

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 19

Concept:

Calculation:

Given: Height of lighthouse AB = 70 m.

Now, in ΔABC

As we know that,

MPTET Varg 2 Math Mock Test - 6 - Question 20
The greatest four digit number which is exactly divisible by 15, 24 and 40 is:
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 20

Given:

The number is divisible by 15, 24, and 40

Concept Used:

The concept of LCM is the multiple of Least Common Multiple

Calculations:

⇒ LCM of 15, 24, and 40 = 120

⇒ Highest 4-digit number = 9999

On dividing 9999 by 120, we get

⇒ Remainder = 39

⇒ The highest 4-digit number divisible be 15, 24, and 40 = Highest 4-digit number - Remainder = 9999 - 39 = 9960

⇒ Hence, The highest 4-digit number exactly divisible by 15, 24, and 40 is 9960.

MPTET Varg 2 Math Mock Test - 6 - Question 21

Find the value of tan3θ  if secθ + tanθ = √3  and 0° < θ ≤ 90° 

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 21

Formula:

sec2θ - tan2θ = 1

(a + b)(a - b) = a2 - b2

Calculation:

secθ + tanθ = √3 (Equation 1)

Rearranging the (sec2θ - tan2θ ) identity-

⇒ (secθ + tanθ)(secθ - tanθ) = 1

Substituting the value, we get-

⇒ secθ - tanθ =  (Equation 2)

Subtracting Equation 2 from Equation 1

⇒ 2 tanθ = √3 - 

∴ tanθ = 

⇒ θ = 30° 

∴ tan3θ = 3 × 30° = 90° 

⇒ tan 90° = undefined 

The answer to the identity is undefined.

MPTET Varg 2 Math Mock Test - 6 - Question 22

If x= 4x - 1 then the value of x3 - 7x2 + 13x - 12 is

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 22

Calculation:

Given that,

x2 = 4x - 1 

⇒ x2 - 4x + 1 = 0   ----(1)

Hence, require value

= x3 - 7x2 + 13x - 12

We can write it as,

⇒ x3 - 4x2 - 3x2 + 12x + x -12

⇒ x- 4x2 + x - 3x2 +12x - 12

= x(x2 - 4x + 1) - 3x2 + 12x - 12 

⇒ x(x2 - 4x + 1) - 3(x2 - 4x + 1) - 9

From equation (1),

= x(0) - 3(0) - 9

x3 - 7x2 + 13x - 12 = -9

MPTET Varg 2 Math Mock Test - 6 - Question 23

A person rows a boat 11 km in 5 hours downstream and returns upstream in 7 hours. What is the speed of the stream in km/h?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 23

Given:

Distance = 11 km

Down Stream Time = 5hr

Upstream Time = 7hr

Formula used:

Down Stream (X + Y) = 

UP stream ( X - Y) = 

Where X = Boat speed, Y = Stream speed  

Calculation:

X + Y = 11/5      ....(1)

X - Y = 11/7       ....(2)

From equation 1 & 2

X = 66/35;  Y = 11/35

The speed of the stream is 11/35 km/h

MPTET Varg 2 Math Mock Test - 6 - Question 24

If 1729p465 is divisible by 9, then the value of p is:

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 24

Given:

1729p465  is divisible by 9

Calculation:

If any number is divisible by 9 it means the sum of that number is also divisible by 9.

here, 1729p465  is divisible by 9

so, (1 + 7 + 2 + 9 + p + 4 + 6 + 5)/9 = (34 + p)/9

If we take p = 2 

then, (34 + 2)/9 = 4

So, the value of p is 2

MPTET Varg 2 Math Mock Test - 6 - Question 25
The ability to count accurately - first forward is called?
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 25

Comprehension is the ability to understand. Comprehension is an exercise that tests how well an individual understands a concept.

Key Points

  • The ability to count accurately - first forward is called number comprehension.
  • Number comprehension gives meaning to numbers.
  • Number comprehension means knowing how numbers are related to each other and what are their relative magnitudes.
  • It is also based on the effect of mathematical operations on numbers,
  • Number comprehension is very important to understand numerical aspects.

Hence, we can conclude that the ability to count accurately - first forward is called number comprehension.

MPTET Varg 2 Math Mock Test - 6 - Question 26

 What is the average number of products sold by company P, S and T in February? (Approximate)

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 26

Given:

Number of products sold by 5 companies during 5 months

Calculation:

Number of products sold by P, S and T in February are 155, 110 and 90 respectively

Average number of products sold by company P, S and T in February =  ~ 118

∴ The answer is 118. 

MPTET Varg 2 Math Mock Test - 6 - Question 27
The cooking method by which Idli is cooked is
Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 27

The correct answer is Steaming.

Key Points

  • Cooking with steam is referred to as steaming.
  • Steaming is the cooking method by which Idli is cooked.
  • Food can also be steamed in a wok, though this is frequently done with a food steamer, kitchen equipment designed expressly to cook food with steam.
  • Using steam to cook a variety of items is seen to be a healthy cooking method.
  • Because steaming requires less energy to produce and has superior thermodynamic heat transfer characteristics compared to boiling water, steaming can be just as quick, if not quicker, than boiling water cooking.

Additional Information

  • Pressure cooking is the method of preparing food in a sealed pressure cooker while using high-pressure steam, water, or a water-based cooking liquid.
  • In the cooking process known as poaching, food is heated while submerged in a liquid such as water, milk, stock, or wine.
  • A combination of cooking techniques known as stewing involves submerging small, homogeneous chunks of meat completely in liquid and simmering them slowly.
MPTET Varg 2 Math Mock Test - 6 - Question 28

An arc on a circle that is 15 cm long subtends a 24 angle at the centre. What is the circumference of the circle?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 28

Given:

Length of the arc = 15 cm 

Angle subtended by the arc at the centre = 24°

Formula used:

Length of the arc =  × 2πr

Where, 2πr = circumference and θ = angle subtended by the arc at the centre.

Calculations:

According to the question, 

⇒  × 2πr = Length of the arc

⇒  × 2πr = 15

⇒ 2πr = 15 × 15

⇒ 2πr = 225 cm

∴ The circumference is of length 225 cm.

MPTET Varg 2 Math Mock Test - 6 - Question 29

In fig. if xº, yº and zº are exterior angles of triangle ABC, then xº + yº + zº is:-

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 29

Given: 

Exterior angle of triangle ABC = x, y , z 

Concept Used:

  •  The Sum of an Exterior angel and Interior angle is 180° 
  • An exterior angle of a triangle is equal to the sum of two opposite side interior angles.

Solution: 

Exterior angle + Interior angle = 180° 

⇒  

⇒   

⇒ 

⇒ x + y + z =  540°  - ( 

⇒ x + y + z = 540°  - 180°                 (we know interior angles sum = 180°) 

⇒ x + y + z = 360°  

MPTET Varg 2 Math Mock Test - 6 - Question 30

Every object emits radiation. The radiation energy is proportional to what power of temperature?

Detailed Solution for MPTET Varg 2 Math Mock Test - 6 - Question 30

CONCEPT:

  • In the world, all objects emit radiation if they have a temperature greater than absolute zero ( 0K ).
  • And this radiation energy (Q) is proportional to fourth the power of Temperature (T) in Kelvin.

i.e. Q α T4 or mathematically  Q = σAT4

where σ is Stefan-Boltzmann constant and A is the area from which radiation is emitted. 

EXPLANATION:

  • All objects in this world which have a temperature greater than 0 K, emit radiation.
  • This radiation energy is proportional to fourth the power of Temperature (T) in Kelvin.

Q α T4

  • So, the correct answer is option 4.

Important Point

  • An object that absorbs and emits all possible radiation with 100% is called a blackbody.
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