NVS TGT Math Mock Test - 3 - NVS TGT/PGT MCQ

Lough Neagh, the largest freshwater lake in the British Isles, faces an alarming ecosystem collapse in 2024, marked by the absence of its native fly. Situated in East-central Northern Ireland, covering 392 sq km with a 5,700 sq km catchment area, it serves as a crucial water source, supplying over 40% of Northern Ireland’s drinking water. Known for Europe’s largest wild eel fishery and hosting 100 bird species, it holds cultural and archaeological significance as a jewel in the region.

As President is the nominal head of a country, similarly Governer is the nominal head of a State.

The correct option is Option B.

Japan is an island country in East Asia located in the northwest Pacific Ocean. It is bordered by the Sea of Japan to the west and extends from the Sea of Okhotsk in the north to the East China Sea and Taiwan in the south.

New Zealand is an island country in the southwestern Pacific Ocean. It consists of two main landmasses—the North Island (Te Ika-a-Māui) and the South Island (Te Waipounamu)—and around 600 smaller islands, covering a total area of 268,021 square kilometres (103,500 sq mi). New Zealand is about 2,000 kilometres (1,200 mi) east of Australia across the Tasman Sea and 1,000 kilometres (600 mi) south of the islands of New Caledonia, Fiji, and Tonga. 

Known as Ceylon until 1972, Sri Lanka is an independent island nation located in the Indian Ocean just southeast of the tip of the Indian subcontinent.

The Indian subcontinent is a peninsula, the only land feature in the world widely recognized as a subcontinent in the English language

A teacher's primary responsibility lies in planning educational experience of students. Effective teachers pose real, substantive problems for learners and set explicit expectations for learning. They actively engage students in learning and draw on a variety of resources, including innovative technologies and the students' own lives, communities and prior knowledge to support these efforts. This helps the students to gain real insight into the life, and are able to gain experience.

Learning disabilities are neurologically-based processing problems. These processing problems can interfere with learning basic skills such as reading, writing and/or math. They can also interfere with higher level skills such as organisation, time planning, abstract reasoning, long or short term memory and attention. They are not caused due to the method of teaching used by the teacher. They may be present due to improper brain development, or infection in brain, etc. Constant fights amongst parents also lead to mental strain and anxiety in students, which may lead to learning disabilities.

The communication ability of a teacher helps her to establish a rapport with the students. A teacher who is a good communicator can understand the dilemma of students, and can effectively solve their problems.

Correct Answer :- a

Explanation : Multiple of 3 : 3,6,9,12,15,18,21,24

Multiple of 5 : 5,10,15,20,25

Number of possible outcomes (multiple of 3 and 5) = {15} = 1

Number of Total outcomes = 25

∴ Required Probability = 1/25

Mode is the most occurred value. In the data we have three 5 and three 8 , so if mode is only 8 then the value of x must be 8 ,so that only 8 is the most occurring value.

For forming a triangle sum of any two sides must be greater than the third side.

The textbook contains detailed data, information, facts, and knowledge about a certain topic with visuals, flowcharts, and practice questions in a systematic order.

• It is a helping hand to a teacher who uses his own conscience to introduce new concepts mentioned in the textbook and make learning interesting.

Key Points

• A good textbook of mathematics should provide proper practice questions and problems to make students grasp the newly learned concepts without being hesitant.
• The content should be presented in a psychological way that topics must be interrelated and in a successive order, i.e., first, introduce the concept of simple interest, then compound interest.
• The word problems in a mathematics textbook help the children to visualize real-life situations in the context of mathematics which compels them to think mathematically.
• For example, the concept of area is used to calculate the number of bricks needed to build a rectangular wall with 60 cm of breadth and 90 cm of length.
• The students can recognize the wall is of rectangular shape and the formula for the area of a rectangle is length multiplied by its breadth i.e., 60 × 90 cm2 = 5400 cm2.

Hint

• The teacher should teach children with higher-order thinking skills (HOTS) based on questions and problems that can be approached in multiple ways.
• HOTS should be used when the children are able to synthesize, generalize, explain, hypothesize, or draw some interpretation, and can innovate their own methods to solve a mathematical problem.

Hence, it could be concluded that in a mathematics textbook, word problems should be added to develop the ability of a learner to convert real-life problem into a mathematical problems.

To find the modal class from a given frequency distribution, we look for the class interval with the highest frequency. The class interval with the highest frequency is referred to as the modal class.

In the provided distribution, we have cumulative frequencies, so we need to first determine the frequency of each class interval. To do this, we subtract the cumulative frequency of the preceding class from the cumulative frequency of the current class.

Here are the cumulative frequencies provided for each class:

• Marks below 10: 2 students
• Marks below 20: 11 students
• Marks below 30: 25 students
• Marks below 40: 45 students
• Marks below 50: 67 students
• Marks below 60: 75 students

Now let's calculate the frequency for each class interval:

• 10-20: 11−2=911−2=9
• 20-30: 25−11=1425−11=14
• 30-40: 45−25=2045−25=20
• 40-50: 67−45=2267−45=22
• 50-60: 75−67=875−67=8

The class interval with the highest frequency is 40-50 with 22 students, making it the modal class. Therefore, the correct answer is option 2: 40-50.

Thus, it can be expressed as product of linear factors.

Given a cylinder with

Radius = 28 / 2 = 14 cm

Height = 20 cm

ii.) Total surface area = 2πr ( r + h )

= 2 x 22 / 7 x 14cm ( 14 + 20 )cm

= 2991.99cm2
=2992cm2
(b) 2992cm2 is the correct option.

Since √2 and −√2 are the zeroes of 2x⁴−3x³−3x²+6x−2, then(x−√2) (x+√2) are the factors of given polynomial i.e., 
(x−√2) (x+√2) = (x²−2) is a factor of given polynomial. 
∴p(x) = 2x⁴−3x³−3x²+6x−2
⇒ p(x) = (x²−2)(2x²−3x+1)

⇒ p(x) = (x² - 2) [2x² - 2x - x + 1]
⇒ p (x) = (x² - 2) [2x (x -1) - 1 (x - 1)]
⇒ p (x) = (x² - 2) (x -1) (2x -1)
∴ Other zeroes are x - 1 = 0 and 2x - 1 = 0 ⇒ x = 1 and x = 1/2

The correct option to complete the analogy is:

B: Debris

Explanation:
- Fire : Ashes: In this analogy, fire is the cause, and ashes are the result or remnants left behind after the fire has burned.
- Explosion : Debris: Similarly, an explosion is the cause, and debris is the result or remnants left behind after the explosion has occurred.

Use structure “subject + auxiliary + past participle + by + object”
As per the given above sentence is given in Passive Voice.
The wounded woman was being helped by some people.
Therefore ,required answer will be option B .

The given idiom is underlined in the heat of the moment is used to imply that something has been done without understanding the consequences and such things are normally done for being overwhelmed by the things taking place at the moment, around a person that actually snatches away the power of a person to think rationally and logically. Among the given options we can see that option D gives us the correct meaning of the idiom as underlined.

This makes option D the correct choice among the given options.

सही उत्तर है - “कमाया तो खाया नहीं तो भूखे”।

• “आई तो रोजी नहीं तो रोजा” लोकोक्ति का अर्थ है कमाया तो खाया नहीं तो भूखे।
• वाक्य प्रयोग : फेरी वाले का क्या, यदि कुछ माल बिक जाता है तो खाना खा लेता है वरना भूखा सो जाता है। सच है, आई तो रोजी नहीं तो रोजा।

Key Pointsअन्य विकल्प:

• ​​कोई वास्ता न होना लोकोक्ति का अर्थ - किसी प्रकार का संबंध न होना।
• वाक्य प्रयोग - यदि भारत का कोई राष्ट्रीय चरित्र है तो यही कि ईमानदारी का हमसे फ़िलहाल कोई वास्ता नहीं।
• अंधेर करना मुहावरा का अर्थ है - अन्याय करना।
• वाक्य प्रयोग - रमेश का सेठ हमेशा उस पर अन्याय करता रहता है।
• धोखा देना का अर्थ : छलना या भ्रम में डालना।
• वाक्य प्रयोग - धोखा देना तो गगन की पुरानी आदत है।

Additional Informationअन्य उदाहरण:

• टाँग अड़ाना मुहावरे का अर्थ : अड़चन डालना।
  वाक्य प्रयोग - जो लोग दूसरों के कामो में टाँग अड़ाते हैं उन्हें कोई पसंद नहीं करता।
• गढ़ फतह करना मुहावरे का अर्थ - कठिन काम करना।
  वाक्य प्रयोग - आई.पी.एस पास करके दीक्षा ने सचमुच गढ़ फतह कर लिया।

सही उत्तर है - "यह तत्पुरुष समास है।"Key Points

• 'तुलसीकृत' शब्द के संदर्भ में "यह तत्पुरुष समास है" l - विकल्प सही है l
• तुलसीकृत में समास का उपभेद तृतीया तत्पुरूष (करण तत्पुरूष) समास है l
• करण तत्पुरुष:-
  • जिसके प्रथम पद के साथ करण कारक की विभक्ति (से/द्वारा) लगी हो। उसे करण तत्पुरुष कहते हैं।
• 'तुलसीकृत' का उचित समास विग्रह 'तुलसी द्वारा रचित' होगा।
• तत्पुरुष समास -
  • ​'तुलसीकृत' शब्द में बीच की विभक्ति 'द्वारा' का लोप होने के कारण यह तत्पुरुष समास का उदाहरण है।
• जिस समास में प्रथम पद गौण और उत्तर पद की प्रधानता होती है और समास करते वक्त बीच की विभक्ति का लोप हो जाता है।

अन्य विकल्प:-

• तत्पुरुष और कर्मधारय दोनों का उदाहरण है।, यह कर्मधारय समास है। - यह विकल्प अनुचित है क्योंकि तुलसीकृत शब्द में कर्मधारय समास नहीं है l
• इसमें पूर्व पद प्रधान है। - यह विकल्प अनुचित है क्योंकि तुलसीकृत शब्द तत्पुरुष समास का उदाहरण है, जिसमें पूर्वपद प्रधान होता नहीं होता l तत्पुरुष समास में उत्तर या द्वितीय पद प्रधान होता है l

Additional Information

• 'संक्षिप्तिकरण' को समास कहते हैं।
• कर्मधारय समास - पहला पद विशेषण और दूसरा पद विशेष्य होता है अथवा इसके पूर्वपद और उत्तर पद में उपमान और उपमेय का संबंध होता है।
• उदाहरण:-
  • नवयुवक = नव है जो युवक
  • नील कमल = नील के समान कमल।
  • सूरजमुख= सूरज के समान मुख। ·

1. तत्पुरुष समास के उदाहरण:-

• देशभक्ति = देश के लिए भक्ति
• घुड़साल = घोड़ों के लिए साल (भवन)
• सभामंडप = सभा के लिए मंडप

सही उत्तर: 'उसने मनुष्य के मन को छिन्न - भिन्न कर दिया है।

• पश्चिमी इतिहास-बोध ने मनुष्य को उसकी परम्परा और अतीत से दूर करके, परम्परा और परंपरागत मिथक में जीवंत आत्मा को विखंडित कर ही दिया है।

Key Points
अन्य विकल्पों का विश्लेषण:

• उसमें भौतिकता के प्रति अतिरंजित आकर्षण है - यह कुछ हद तक सही हो सकता है, लेकिन यह प्रमुख समस्या नहीं है।
• वह पश्चिमी जीवन बोध तक सीमित है - यह सीमा एक समस्या हो सकती है, परन्तु यह प्रमुख समस्या नहीं है।
• वह वायवीय है - इसका मतलब स्पष्ट नहीं है, लेकिन मुख्य समस्या यह है कि इतिहास-बोध ने मनुष्य के मन को छिन्न - भिन्न कर दिया है।