NVS TGT Math Mock Test - 9 - NVS TGT/PGT MCQ

India has reduced the windfall tax on domestically produced crude oil from Rs 9,600 to Rs 8,400 per metric ton, effective May 1. This adjustment reflects a decrease in the tax burden on crude oil producers, aimed at fostering a conducive environment for the oil industry while ensuring reasonable taxation.

'Jade' is a 'green' precious stone in the same way 'Garnet' is a 'red' precious stone.

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
So, E is lighter in weight than A and B.

• USB 2.0: The data transfer rate for USB 2.0 is 480 Mbps (megabits per second).

• USB 2.0: USB 2.0 is a widely used standard for connecting devices to a computer. It is an upgraded version of USB 1.1 and offers faster data transfer speeds.


• Data Transfer Rate: The data transfer rate refers to the speed at which data can be transmitted between devices through the USB connection.


• 480 Mbps: USB 2.0 supports a maximum data transfer rate of 480 Mbps. This means that data can be transferred at a speed of up to 480 megabits per second.


• Comparison: The other options provided (512 Mbps and 520 Mbps) are not correct as they do not match the actual data transfer rate of USB 2.0.

Therefore, the correct answer is option A: 480 Mbps. USB 2.0 has a data transfer rate of 480 Mbps, allowing for faster and more efficient data transfer between devices.

A teacher can be satisfied with his quality of teaching if he/she is able to get counter questions from students on the concepts which have been taught in class. This ensures that the student is able to understand the concept and shows interest in the subject.

Refusing to help children unless they have tried themselves is the characteristic of an effective teacher.
It is better to try and fail than not try at all. A teacher must let the children try to do things and also to handle problems/situations in a controlled environment.

Let radius of the protractor be r 
∴ Perimeter of protractor = Perimeter of semicircle + Diameter of semicircle ⇒ Perimeter of protractor = πr+2r

A polynomial of degree 3 is called a cubic polynomial. 

For example, x³−1, 4a³ − 100a² + a − 6, and m²n + mn² are all cubic polynomials with atmost 3 zeroes (having degree 3).

Hence, the polynomial having atmost 3 zero is a cubic polynomial.

AC=54cm, Radius=AO=54/2=27cm
Area of the bigger circle= πR²= 22/7 * 27 * 27=2291 (approx)
Diameter of the smaller circle=54-10=44
Radius=44/2=22
Area of the smaller circle= πr²=22/7 * 22 * 22=1521 (approx)
Area of the shaded region=Area of the bigger circle-Area of the smaller circle
= 2291-1521=770 cm²

let us verify the reason on the equation

2x² + ax – a² = 0

That means a are not the zeroes.

Therefore, A is false but R is true.

Zero of the zero polynomial is any real number.
e.g., Let us consider zero polynomial be 0(x-k), where k is a real number For determining the zero, put x-k = 0 ⇒ x = k Hence, zero of the zero polynomial be any real number. 

No. of red face card = 6

Total no of cards = 52

Probability of getting a face card

= No. of red face cards/Total no. of cards

= 6/52 = 3/26

Mathematics is a subject that has numbers, patterns, shapes, objects, and statistical data as its main content. It basically deals with the complex abstractions of our daily life.

• The main aim of teaching mathematics is to make the students capable of solving their real-life problems by using mathematical skills and knowledge.
• The teacher tries to raise the questions or problems in the mind of students to make them think beyond their textbooks to discover their own knowledge by engaging actively in the learning process.

Key PointsSolving mathematical problems:

Hint

Memorization:

• It is the skill that helps a learner in remembering, recalling, or learning factual information and data but the mathematical knowledge is needed to be understood instead of mere memorizing.

Hence, Memorization is the least appropriate strategy for teaching students to solve mathematical problems.

Roots of the equation means a value of x such that the equation becomes zero when that value is substituted. If the equation can be represented into product of two linear equations then the roots can be found by keeping each of the equation equal to zero.We know two numbers in multiplication is equal to zero only when either of the number is zero.So we get zeros of the equation putting the two linear equations equal to 0

We have 4 Jack cards

Total number of Jack of hearts = 1

P (getting a face card) = Number of jack of heart cards/Total number of cards

= 1/52

Trick is HCF of (237-132), (132-62), (237-62)
= HCF of (70,105,175) = 35

Given statement is incorrect as there is gap in between consecutive rectangles in a bar graph.

If the quadratic equation 6x2 - 2kx + 6 = 0 has equal roots, then

odd number less than 3 is only 1
so probability=1/6

वाक्य के अनुसार नदी का बहुवचन शब्द नदियों होगा।

Confusion Points

• नदी का बहुवचन शब्द नदियाँ भी हो सकता है परन्तु उपरोक्त वाक्य के अनुसार सटीक शब्द नदियों ही होगा।

Key Pointsबहुवचन शब्द

• शब्द के जिस रूप से अनेकता का बोध हो उसे बहुवचन कहते हैं।
• जैसे-लड़के, गायें, कपड़े, टोपियाँ

एकवचन शब्द

• शब्द के जिस रूप से एक ही वस्तु का बोध हो, उसे एकवचन कहते हैं।
• जैसे-लड़का, गाय, सिपाही, बच्चा, कपड़ा, माता, माला, पुस्तक, स्त्री, टोपी बंदर, मोर आदि।

Additional Information

मैं आजकल घूमने जाता हूँ।शुद्ध वाक्य है। Key Points

• वाक्य शुद्धि - लिखने एवं बोलने में इस बात का ध्यान रखना कि जो कुछ भी लिखा या कहा जा रहा है वह बिल्कुल सार्थक एवं व्याकरण के नियमानुसार शुद्ध हो।
• उदाहरण - मुझे यह अच्छा नही लगता।

Additional Information

बस छूट गई होगी वाक्य के काल का सही विकल्प संदिग्ध भूतकाल होगा।

• संदिग्ध भूतकाल - इसमें यह सन्देह बना रहता है कि भूतकाल में कार्य पूरा हुआ या नही।

Key Pointsअन्य विकल्पों का विश्लेषण -

Additional Informationकाल - क्रिया के जिस रूप से कार्य करने या होने के समय का ज्ञान होता है उसे ‘काल’ कहते है।

काल तीन प्रकार होते है

• वर्तमान काल।
• भूतकाल।
• भविष्यत काल।

दिए गए वाक्य का काल है - 'सामान्य भूतकाल'

• दिये गए वाक्य "आधुनिक युग की मीरा महादेवी वर्मा ने 'मेरा परिवार' नामक संस्‍मरण लिखा।" में भूतकाल का प्रयोग हुआ है। यह वाक्य बताता है कि कार्य पूर्णतः समाप्त हो चुका है, जिसके आधार पर इसे "सामान्य भूतकाल" में माना जा सकता है।

Key Points

सही उत्तर 'अब, एवं, भी' है।

दिए गए विकल्पों में 'अब, एवं, भी' अव्यय की श्रेणी में आते है।

वे शब्द जिनमे लिंग, कारक, वचन, पुरुष आदि के कारण कोई विकार/ परिवर्तन उत्पन्न नहीं होता है, अव्यय शब्द कहलाते है।

जैसे – आज, कब, इधर, किन्तु आदि।

Key Points

अन्य विकल्पों का विश्लेषण:

Additional Information अव्यय के पांच भेद हैं –

मित्र और शत्रु के चेहरों को चींटियाँ याद रखती हैं ।