NVS PGT Mathematics Mock Test - 10 - NVS TGT/PGT MCQ

The logic is:

the pattern being followed here is:

(Number)² : (Number)³

1. 225 : 3375 → 15² : 15³

2. 49 : 280 → 7² : 7³ = 343 ≠ 280

3. 64 : 512 → 8² : 8³

4. 25 : 125 → 5² : 5³

Hence, ‘49 : 280’ is the odd one out. 

i) Rohit walked 30m towards South.
ii) Took a left turn and walked 50m
iii) Again he took a left turn and walked 30m.
Drawing the Diagram as per the given information:

AB = CD = 50m
Thus we can see he is 50m far from the starting point.
Hence, the correct answer is "50m".

Given: 24$3@8#45*5
After replacing the symbols we get:
24 + 3 x 8 - 45 ÷ 5
= 24 + 3 x 8 - 9
= 24 + 24 - 9
= 48 - 9
= 39
Hence, 39 is the correct answer.

The first sentence says that India is opposing the efforts. So, it is likely that Indian ground of resistance is also the same (i.e., the issues such as labour standards, environmental concerns, human rights etc. are not related with trade).

The correct file extension for a MS-Power Point file is .ppt.

• MS-Power Point is a popular presentation software developed by Microsoft.


• When you save a Power Point presentation, it is saved with a specific file extension that indicates the file type.


• The file extension for Power Point files is .ppt, which stands for "Power Point Presentation".


• The file extension helps the operating system and associated software identify and open the file correctly.


• If you see a file with the extension .ppt, you can be confident that it is a Power Point presentation.


• It is important to have the appropriate software, such as Microsoft Power Point, to open and view .ppt files.


• Other file extensions mentioned in the question, such as .ppf and .ptp, are not valid file extensions for Power Point files.

Therefore, the correct answer is D: .ppt.

In education, teaching is the concerted sharing of knowledge and experience, which is usually organized within a discipline and, more generally, the provision of stimulus to the psychological and intellectual growth of a person by another person or artifact. The steps are in the following order:
(iv) Formulating instructional objectives
(i) Relate the present knowledge with previous one
(v) Presentation of instructional materials
(ii) Evaluation
(iii) Reteaching

If θ is the acute angle between

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


Here, 


Then, 

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

Option (a) :- for x = nπ
let n=1
so, x= 1 x π =π
therefore , sinx + icos2x
sinπ + icos 2π
0 + i= i
Now,
cosx - isin2x
cosπ - isin2π
or, -1 -0 = -1
hence no conjugate
Option (b) :- x = 0
sin0 + icos0
0+i= i
now ,
cos0 - isin0
= 1
hence no conjugate.
option (c) :- x = (n+1/2)π
if n= 1
x=3π/2
sin3π/2 + icos3π
-1 - i
Now,
cos3π/2 - isin3π
0-0= 0
hence no conjugate
Thus option D is correct

Radius of circle =14cm
An angle = 135^o
Length of arc = ?
We know that, Length of arc = Radius × Angle
= 14 * 3π/4
= 14 * (3*22)/(7*4)
= 33cm

If A = {5, 10, 15}, B = ϕ
B - A will have those elements which are in B but not in A.
B - A = ϕ

First we fix the alternate position of the girls. Five girls can be seated around the circle in (5−1)!=4! , 5 boys can be seated in five -vacant place by 5!
∴ Required number of ways =4!×5!

x² = 16 ⇒ x = ±4 and 2x = 6 ⇒x = 3

There is no value of x which satisfies both the above equations. Thus, A = φ

Matrix C is given in Transpose form. So, Matrix C is 3x1 order.

Factorise and expand

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

Take (1 + x)¹⁰⁰⁰ as common, after simplification it becomes (1 + x)¹⁰⁰⁰ coefficient of x⁵⁰ is ¹⁰⁰²C₅₀

A teacher should take care of each child irrespective of their disabilities. He/she should ensure the students' maximum potential. Everyone has the right to education. A teacher should ensure that his/her students derive maximum benefit from education. 
Teachers must be aware of the fact that every child is different from each other. The differences occur from physical characteristics to learning styles. The objective of education is to provide the fullest possible development of learners. The teachers should find out the different strengths and weaknesses of students before their disabilities.
Hence, the correct answer is, 'Mohan, why don't you use your crutches to go to the playground?'

The New Education Policy lays particular emphasis on the development of the creative potential of each individual. It is based on the principle that education must develop not only cognitive capacities - both the ‘foundational capacities ’of literacy and numeracy and ‘higher-order’ cognitive capacities, such as critical thinking and problem solving – but also social, ethical, and emotional capacities and dispositions. 

Key Points Following are the proposals made by National Education Policy 2020 (NEP):-

•  a variety of methods and strategies such as group work and role plays be used for assessment. 
•  apart from assessment by the teacher, other ways such as self-assessment and peer-assessment should be encouraged.
•  report card of the student should include progress in the cognitive, affective, and psychomotor domains. 
• focus on regular formative assessment for learning rather than the summative assessment that encourages today’s ‘coaching culture.

​Thus, it is concluded that NEP 2020 proposes shift from formative to summative assessment regarding proposals made by National Education Policy 2020 (NEP) is not correct.

'Market' is to advertise some product so that it can be sold. Hide is to hold something back and prevent it from being promoted. Thus, option 2 is the apt antonym for the question given.
Example- As soon as some consumers reported flaws in the product, it was hidden from the public eye.

The sentence starts in past tense hence the ending cannot be in the future tense so as to maintain uniformity.
Correct Sentence- He informed me earlier that he would not come.  

A person who is considered a hot-head is someone who easily becomes angry and violent.
A bonehead is a term used for a stupid person. 
An egghead is someone who is an intellectual.
Pundit is sometimes used for an expert in a particular subject or field who is frequently called upon to give their opinions to the public.
Hence, the correct answer is option 2.

विकल्प गर्दन पर छुरी चलाना सही है।

• गर्दन पर छुरी चलाना
  • अर्थ – नुकसान पहुचाना
  • वाक्य प्रयोग – मुझे पता चल गया कि विरोधियों से मिलकर किस तरह मेरे गले पर छुरी चला रहे थे।

Additional Information

• गड़े मुर्दे उखाड़ना
  • अर्थ – दबी हुई बात फिर से उभारना
  • वाक्य प्रयोग – जो हुआ सो हुआ, अब गड़े मुर्दे उखाड़ने से क्या लाभ ?
• गागर में सागर भरना
  • अर्थ – थोड़े शब्दों में अधिक विचार प्रकट करना
  • वाक्य प्रयोग – कबीर के दोहों की क्या बात है, बस दो ही पंक्तियों में गागर में सागर भर दिया है।
• गुल खिलना
  • अर्थ – नयी बात का भेद खुलना, विचित्र बातें होना
  • वाक्य प्रयोग – सुनते रहिये, देखिये अभी क्या गुल खिलेगा।

Important Points

• अन्य उदाहरण
• छींका टूटना
  • अर्थ – अनायास लाभ होना
• छुट्टी पाना
  • अर्थ – झंझट या अपने कर्तव्य से मुक्ति पाना
• छू हो जाना या छूमंतर हो जाना
  • अर्थ – चले जाना या गायब हो जाना
• छोटा मुँह बड़ी बात
  • अर्थ – हैसियत से अधिक बात करना

मुहावरे का सही युग्म है - 'आँख में चर्बी छाना - घमंड से चूर होना'

• वाक्य प्रयोग - अजय अपना अभावग्रस्त जीवन भूल गया है, अब तो उसकी "आंखों में चर्बी चढ़ गई है"।

Key Points

• मुहावरा एक ऐसा वाक्य होता है जो वाक्य की रचना करने पर अपना एक अलग अर्थ या विशेष अर्थ प्रकट करता है।
• इनका प्रयोग करने से भाषा,आकर्षक, प्रभावपूर्ण तथा रोचक बन जाती है।

Additional Informationकुछ महत्वपूर्ण मुहावरा, अर्थ और उनके वाक्य प्रयोग:-

• आंख दिखाना - बहुत क्रोध करना

वाक्य प्रयोग - राम से मैंने सच बातें कह दी, तो वह मुझे "आँख दिखाने लगा"।

• आग लगाना - झगड़ा कराना

वाक्य प्रयोग - दीपक ने झूठ बोलकर राहुल और दीनेश के बीच "आग लगा दी"।

• आँख बिछाना - प्रेम से स्वागत करना

वाक्य प्रयोग - जब प्रधानमंत्री आए तो स्कूल में सबने "आँखें बिछा दीं"।