AWES TGT/PGT Exam  >  AWES TGT/PGT Tests  >  AWES TGT Mock Test Series 2024  >  AWES TGT Maths Mock Test - 7 - AWES TGT/PGT MCQ

AWES TGT Maths Mock Test - 7 - AWES TGT/PGT MCQ


Test Description

30 Questions MCQ Test AWES TGT Mock Test Series 2024 - AWES TGT Maths Mock Test - 7

AWES TGT Maths Mock Test - 7 for AWES TGT/PGT 2024 is part of AWES TGT Mock Test Series 2024 preparation. The AWES TGT Maths Mock Test - 7 questions and answers have been prepared according to the AWES TGT/PGT exam syllabus.The AWES TGT Maths Mock Test - 7 MCQs are made for AWES TGT/PGT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for AWES TGT Maths Mock Test - 7 below.
Solutions of AWES TGT Maths Mock Test - 7 questions in English are available as part of our AWES TGT Mock Test Series 2024 for AWES TGT/PGT & AWES TGT Maths Mock Test - 7 solutions in Hindi for AWES TGT Mock Test Series 2024 course. Download more important topics, notes, lectures and mock test series for AWES TGT/PGT Exam by signing up for free. Attempt AWES TGT Maths Mock Test - 7 | 200 questions in 180 minutes | Mock test for AWES TGT/PGT preparation | Free important questions MCQ to study AWES TGT Mock Test Series 2024 for AWES TGT/PGT Exam | Download free PDF with solutions
AWES TGT Maths Mock Test - 7 - Question 1

What is the name of the world's first wooden satellite set to be launched by NASA and JAXA?

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 1

The world's first wooden satellite, named LignoSat, is set to be launched by NASA and the Japan Aerospace Exploration Agency (JAXA) in 2024.

AWES TGT Maths Mock Test - 7 - Question 2

Where will the three-day International Geeta Mahotsav be organised?

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 2

A three-day International Geeta Mahotsav will be organized in Colombo, the capital of Sri Lanka. This three-day festival will start from March 1. This festival will be organized with the financial support of Kurukshetra Development Board of Haryana.

1 Crore+ students have signed up on EduRev. Have you? Download the App
AWES TGT Maths Mock Test - 7 - Question 3

What is the rank of India in the Global Intellectual Property Index 2024?

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 3

The US Chamber of Commerce released the 12th edition of the International Intellectual Property (IP) Index, ranking 55 economies on their IP frameworks. India secured the 42nd position with a 38.64% overall score. The United States, the United Kingdom, and France topped the list, emphasizing the pivotal role of strong IP systems in economic development. The index evaluates the effectiveness of IP landscapes in fostering innovation and creative industries globally.

AWES TGT Maths Mock Test - 7 - Question 4

Select the appropriate techniques favourable for motivating students for learning in the classroom.

(i) Encouraging maximum participation of students in the classroom

(ii) Encourage competition for marks

(iii) Help students set goals based on their interest

(iv) Giving freedom to students for expressing their ideas

Choose the correct option.

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 4

Encouraging maximum participation of students in the classroom. Help students set goals based on their interest. Giving freedom to students for expressing their ideas

AWES TGT Maths Mock Test - 7 - Question 5

All India Council of Elementary Education was established under article  

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 5

All India Council of Elementary Education was established by the government of India and was responsible for looking after the development and working of elementary education. In order to accelerate the pace of expansion of elementary education and to fulfill the directive of Article 45 of the Constitution, the Government of India decided that an All-India Council of Elementary Education should be established with effect from July 1, 1957.

AWES TGT Maths Mock Test - 7 - Question 6

How does NEP 2020 propose to address the early childhood care and education stage?

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 6

NEP 2020 emphasizes play-based learning for children aged 3-6 to provide a strong foundation for future learning.

AWES TGT Maths Mock Test - 7 - Question 7

Which of the following student reveals the "Logical Mathematical" intelligence, as proposed by Gardner?

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 7

Theory of Multiple Intelligence which describes eight different kinds of intelligence is propounded by an American cognitive psychologist 'Howard Gardner'.

AWES TGT Maths Mock Test - 7 - Question 8
According to NEP 2020, what is the full form of ECCE?
Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 8

The National Education Policy 2020 proposed various reforms in school education as well as higher education including technical education that has to be adopted by all educational institutions.

Key Points The ECCE program needs to be determined by children’s developmental and contextual needs, providing for more need-based inputs and an enabling environment.

  • Ensuring quality ECCE - early childhood care and education for all children between 3-6 years.
  • It was believed that a common ‘curriculum’ would not be appropriate for all.
  • It comprises details of the goals for different domains of development, i.e. physical, language, cognitive, socio-emotional, creative, and aesthetic appreciation, to be fostered to ensure holistic development of children under six years.

Hence we can say that the full form of ECCE is Early Childhood Care and Education.

Additional Information Other reforms of NEP 2020 include -

  • Equitable and inclusive education - Special emphasis is given to Socially and Economically Disadvantaged  Groups (SDGs).
  • Ensuring Universal Access at All Levels of schooling from pre-primary school to Grade 12.
  • New Curricular and Pedagogical Structure (5+3+3+4).
  • Setting up of State School Standards Authority (SSSA).
AWES TGT Maths Mock Test - 7 - Question 9

Let f (x) be differentiable function such that and y. If 

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 9

AWES TGT Maths Mock Test - 7 - Question 10

If  A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12}, C = {4, 5, 6, 12, 14} then (A ∩ B) ∪ (A ∩ C) is equal to:

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 10

A = {2, 3, 4, 8, 10}
B = {3, 4, 5, 10, 12}
C = {4, 5, 6, 12, 14}
► (A ∩ B) = {3,4,10}
► (A ∩ C) = {4}
► (A ∩ B) U (A ∩ C) = {3,4,10}

AWES TGT Maths Mock Test - 7 - Question 11

Find the angle between the following pairs of lines:   and 

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 11

If θ is the acute angle between


then cosine of the angle between
these two lines is given by :


Here, 


Then, 



AWES TGT Maths Mock Test - 7 - Question 12

The principal value of 
is.

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 12

tan-1 (tan 3π/5)
This can be written as:
tan-1 (tan 3π/5) = tan-1 (tan[π – 2π/5])
= tan-1 (- tan 2π/5) {since tan(π – x) = -tan x}
= –tan-1 (tan 2π/2)
= –2π/5

AWES TGT Maths Mock Test - 7 - Question 13

The domain of the function 

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 13

x - 1 ≥ 0 and 6 – x ≥ 0 ⇒ 1 ≤ x ≤ 6.

AWES TGT Maths Mock Test - 7 - Question 14

The equation of the common tangent to the parabola y2 = 8x and the hyperbola 3x2– y2 = 3 is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 14


AWES TGT Maths Mock Test - 7 - Question 15

If cos(2sin−1x) = 1/9 then x =

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 15

Put

sin-1 x = θ ⇒ x = sin θ


AWES TGT Maths Mock Test - 7 - Question 16

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 16




So, f has a local minima at 2 and a local maxima at - 2 .

AWES TGT Maths Mock Test - 7 - Question 17

If |z -i| ≤ 2 and z0 = 5+3i , the maximum value of  |iz + z0| is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 17



AWES TGT Maths Mock Test - 7 - Question 18

If each pair of equations x2 + ax + b = 0, x2 + bx + c = 0 and x2 + cx + a = 0 has a common root then product of all common roots is : 

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 18

Let the roots be α, β : β, γ and γ, α then
αβ = b, βγ = c and γα = a 

AWES TGT Maths Mock Test - 7 - Question 19

lim(x → 0) (tanx/x)(1/x^2)

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 19

lim(x → 0) (tanx/x)(1/x^2)
= (1)∞
elim(x → 0) (1/x2)(tanx/x - 1)
= elim(x → 0) ((tanx - x)/x3)   .....(1)
lim(x → 0) ((tanx - x)/x3)
(0/0) form, Apply L hospital rule
lim(x → 0) [sec2x -1]/3x2
lim(x → 0) [tan2x/3x2]
= 1/3 lim(x → 0) [tan2x/x2]
= 1/3 * 1
= e1/3

AWES TGT Maths Mock Test - 7 - Question 20

General solution of x 

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 20




AWES TGT Maths Mock Test - 7 - Question 21

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 21

AWES TGT Maths Mock Test - 7 - Question 22

Differential equation of the family of parabolas having vertex at origin and axis along positive y-axis is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 22

AWES TGT Maths Mock Test - 7 - Question 23

How many three digit odd numbers can be formed by using the digits 5,6,7,8 of the repetition of digits is allowed?

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 23

The unit place can be filled in 2 ways because question asked to find 3 digit odd numbers from 5,6,7,8 and the other two places can be filled in 4 ways as repetition is allowed.
So, Unit's place can be filled in 2 ways. Decimal place can be filled in 4 ways. Hundred's place can be filled in 4 ways.
 => 4*4*2 = 32.

AWES TGT Maths Mock Test - 7 - Question 24

If A = [aij]2×2 where aij= i + j, then A is equal to

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 24

If A = [aij]2x2 where aij = i + j, then, 

AWES TGT Maths Mock Test - 7 - Question 25

The number of the integer solutions of x2 + 9 < (x + 3)2 < 8x + 25 is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 25

AWES TGT Maths Mock Test - 7 - Question 26

The terms of an A.P. are doubled, then the resulting sequence is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 26

The general form of an AP is  a,  a+d, a+2d,.....
where a is the first term and d is the common difference  
If we double the terms,  the new sequence would be
A , a+2d, a+4d,......
We can observe that this sequence is also an AP
First term is a
Common difference is 2d  nth term= 2a+(n-1)2d               
= 2[a+(n-1)d]

AWES TGT Maths Mock Test - 7 - Question 27

Let A = {2, 3, 4} and X = {0, 1, 2, 3, 4}, then which of the following statement is correct?

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 27
  • We have, Ac in X = The set of elements in X which are not in A = 0,1
  • {0} ∈ Ac w.r.t. X is false, because {0} is not an element of Ac in X.
  • ϕ ∈ Ac in X is false because ϕ is not an element of Ac in X.
  • {0} ⊂ Ac in X is correct because the only element of {0} namely 0 also belong to Ac in X.
  • 0 ⊂ Ac in X is false because 0 is not a set.
AWES TGT Maths Mock Test - 7 - Question 28

The locus of the centre of a circle which passes through the point (a, 0) and touches the line x+1=0, is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 28
The locus is a parabola as distance of centre from straight line = its distance from point (a, 0).
AWES TGT Maths Mock Test - 7 - Question 29

The area lying in the first quadrant and bounded by the curve y = x3 , the x – axis and the ordinates at x = - 2 and x = 1 is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 29

Required area :

AWES TGT Maths Mock Test - 7 - Question 30

If a complex number Z satisfy, |2Z + 10 + 10i | < 5√3 - 5  then the least principal argument of Z is

Detailed Solution for AWES TGT Maths Mock Test - 7 - Question 30

Let P(z) be the point of least orgument 



View more questions
30 tests
Information about AWES TGT Maths Mock Test - 7 Page
In this test you can find the Exam questions for AWES TGT Maths Mock Test - 7 solved & explained in the simplest way possible. Besides giving Questions and answers for AWES TGT Maths Mock Test - 7, EduRev gives you an ample number of Online tests for practice

Top Courses for AWES TGT/PGT

Download as PDF

Top Courses for AWES TGT/PGT