NVS TGT Math Mock Test - 8 - NVS TGT/PGT MCQ

Jagrut Kotecha, currently the Chief Commercial Officer for PepsiCo in Africa, Middle East, and South Asia (AMESA), has been appointed as the new CEO of PepsiCo India, succeeding Ahmed El Sheikh. The strategic realignment is set to take effect in March 2024.

India's inaugural Green Hydrogen Plant in the Stainless Steel Sector was virtually inaugurated at "Jindal Stainless Limited, Hisar" by Union Minister for Steel and Civil Aviation, Sh. Jyotiraditya M. Scindia, on March 4, 2024.

According to question,
A's weight is twice as much as of B.
1. A = 2B.
B's weight is four and half times as much as of C.
2. B = 4.5C
C's weight is half times as much as of D.
3. C = D/2.
D's weight is half as much as of E.
4. D = E/2.
E weight is less than A but more than C.
5. A > E > C
from 1 and 2
6. A = 2B = 9C
from 6 and 3
7. A = 2B = 9C = 4.5D
from 7 and 4
8. A = 2B = 9C = 4.5D = 2.25E
so from 8 and 5
A > B > E > D > C
E is heavier than D and C.

At sunrise morning begins, similarly at sunset night begins.

The greatest cause of failure of a new teacher is in the area of interpersonal relations. If the teacher is not able to develop a bond or relationship with the students, she will be rejected by the students and will face a lot of hardships.

Out of the given options, full-time active involvement in institutional management is not a matter of strength or even skill, but a matter of interest.

The distance around the circle is called its circumference

Here   ……….(i)
And it is given that α−β = 1 ……….(ii)
On solving eq. (i) and eq. (ii),
we get

Mathematics is a branch of science that deals with counting, calculating, and studying numbers, shapes, and structures. It is the study of numbers, shapes, quantities, and patterns. It relies on logic and connects learning with children's day-to-day life.

Key Points Problems in Teaching and Learning of Mathematics:

• Inadequate teacher preparation
• Lack of pedagogical knowledge among teachers and students, etc.
• Lack of practice
• Compartmentalization (when a child has two different contradictory schemes in his or her cognitive structure)
• Gender issues
• Curricular acceleration (change of curriculum, for example, shifting from traditional to modern curriculum)
• Lack of teaching aids
• Crude assessment
• Sense of fear and failure
• Lack of interest
• The unwillingness of learners

Hence, all the above-mentioned points are problems that are faced in teaching and learning mathematics.

Let D be the favourable outcomes of getting red and a king, then n(D)=2 Therefore,

If ax²+bx+c = 0 has equal roots, then
b²−4ac = 0
⇒ 4ac = b²
⇒ c = 

⇒ cos A = cos 60°

⇒ A = 60°

Then 12 cot² A – 2 = 12(cot 60°) – 2

= 4 – 2 = 2.

Use the distance formula to determine the distance between two points.

√{1-(-4)}² +{(-5)-7}²

=√25+144

=√169

=13

Mode= 
Where L=lower limit of the modal class =20
f1= modal class frequency.=27
f2 = just after the modal class frequency.=21 
f0 = just previous the modal class frequency=23
C = Class size=10
Mode= 
 =20+4=24

Let AB be the tower and AC be its shadow 

And AB = AC= x m
Let the angle of elevation of the sun be θ.
Then ∠ACB = θ
In right angled triangle ABC 

Therefore, the angle of elevation of the Sun is 45°.

Here, in the denominator of the given fraction the highest power of prime factor 5 is 3, therefore, the decimal expansion of the rational number  will terminate after 3 decimal places.

Number of outcomes where sum is 7 = 6

Probability that sum of two numbers is 7

= 6/36

= 1/6

The curriculum is a tool to achieve the proposed objectives of teaching a subject. In broader terms, it is the sum total of all the experiences of the pupil that he undergoes in school, home and in informal contacts between the teacher and the pupil.

• The principles of curriculum construction in mathematics can be listed as an outcome of the values and importance discussed above. These are briefly mentioned here.

Key Points

A good mathematics programme should present suitable learning experiences to foster common needs as citizens and special needs as an individual.

The main consideration should be given to desirable pupil growth within the overall purposes of secondary education. It should, therefore:

• emphasize those behaviours which will fit pupils better for useful service to their community and for ethical living
• gain an appreciation of the importance and power of mathematics in the development of society
• discover vocational possibilities
• develop the ability to analyse and to solve problems of everyday life situations
• develop proficiency in mathematics as a method of communication

Hence, we conclude that to discover vocational possibilities is one of the principles that need to be followed to formulate mathematics curriculum.

1, ∵ It is a sure event.

Penurious means extremely poor; poverty-stricken
We would be thrifty, but not penurious, when it came to lodging and admission costs
Like Carter, Lance came from a modest but not penurious background
It was sometimes used by penurious governments to reduce costs

दिये गए ‘आगंतुक’ शब्द का उचित उत्तर विकल्प 4 ‘वामांगिनी’ है, अन्य विकल्प असंगत उत्तर है।

Key Points

• वामांगिनी शब्द का अर्थ पत्नी, भार्या।
• पर्यायवाची : जीवनसंगिनी, जीवन-संगिनी, भार्या, सहचरी, संगिनी, प्रियतमा, कान्ता, कांता, वधू, मेहरी, दारा, वामांगी।

Additional Information

• "पुंगव" शब्द का अर्थ होता है श्रेष्ठ।
• कविपुंगव में अधिकरण तत्पुरुष समास है।
• अधिकरण तत्पुरुष में पहला पद प्रधान होता है।
• वनवास – वन में वास।
• इस समास में वास प्रधान है और ‘में’ और ‘पर’ संबंध कारक चिह्न का लोप है।

Additional Informationसमास

• समास का शाब्दिक अर्थ छोटा रूप होता है | ​
• दो या दो से अधिक शब्दों से मिलकर बने नए व छोटे शब्द को समास कहते है |

दिए गए विकल्पों में सही उत्तर विकल्प 1 ‘घड़ा’ है। अन्य सभी विकल्प इसके अनुचित उत्तर होंगे।

Key Points

• दिए गए विकल्पों में घन का अनेकार्थी शब्द 'घड़ा' नहीं है।
• घड़ा के अनेकार्थी शब्द हैं- घट, शरीर, हृदय, कम।
• घड़ा के पर्यायवाची शब्द हैं- गगरा, घट, कुभ, कलश।

इनमें से व्‍यक्तिवाचक संज्ञा नहीं है - 'पहाड़'

• यह शब्द किसी एक विशेष पहाड़ का बोध न कराकर दुनिया के सभी पहाड़ों का बोध करा रहा है। अतः पहाड़ एक जातिवाचक संज्ञा शब्द है।
  • जो शब्द किसी व्यक्ति, वस्तु या स्थान की संपूर्ण जाति का बोध कराते हैं, उन शब्दों को जातिवाचक संज्ञा कहते हैं।
• यानी, जातिवाचक संज्ञा शब्दों से एक जाति के अंतर्गत आने वाले सभी व्यक्तियों, वस्तुओं व स्थानों का बोध होता है।
  • जैसे- आदमी, जानवर, पशु, पक्षी, गाय, लड़का, शहर, बगीचा, नदी, पुस्तक, कार, ट्रक आदि।

Key Pointsजातिवाचक संज्ञा के कुछ उदाहरण:-

• बच्चे खिलौनों से खेल रहे हैं।
• पेड़ों पर पक्षी बैठे हैं।
• मनुष्य सबसे पुरानी प्रजातियों में से एक है।
• कुत्ता एक वफादार जानवर होता है।
• आज के समय में नदियों में बहुत अधिक प्रदुषण हो रहा है।

Additional Information

"इस समस्या का समाधान उसके पास है।" वाक्य शुद्ध वाक्य है।

• यहाँ शब्द चयन की त्रुटि है।
• औषध शब्द का प्रयोग बीमारी के लिए किया जाता है।
• अतः इस वजह से यहाँ पर समाधान शब्द का प्रयोग किया जाएगा।

Additional Information

औषध
पुल्लिंग:

• दवा।
• दवा-दारू।

समाधान
पुल्लिंग:

• संशय दूर करना।
• संकट को दूर करना।

संस्कार शब्द में सम्​ उपसर्ग का प्रयोग हुआ है। अन्य विकल्प असंगत है। अतः सही उत्तर विकल्प 1) सम्​ होगा ।

Key Points

• "सम्" संस्कृत का उपसर्ग है।
• "सम्" का अर्थ उत्तम,साथ एवं पूर्ण होता है।

Important Points

Additional Information