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

Concept:

The nucleus of the Cell

• The cell is the basic building block of all living beings. 
• The nucleus is the special structure located generally at the center of the cell. 
• The nuclear membrane separates the cytoplasm from the nucleus. 
• The nucleus contains a central part called nucleolus and chromosomes. 
• Chromosomes and nucleolus coexist in the nucleus. Chromosomes are not present in the nucleolus.

Chromosomes and Genes

• Chromosomes carry genes and help in the inheritance or transfer of characters from the parents to their children. 
• The chromosomes can be seen only when the cell divides.
• The credit for the discovery of chromosomes goes to Strasburger as he first described the chromosome structure seen in the nucleus during cell division.
• Usually, chromosomes are rod-shaped, elongated, or dot-like in shape with sizes varying from 0.5 to 32 micrometer.
• In humans, 23pairs of chromosomes are found i.e. 46 in numbers.

Conclusion:

• Chromosomes are present in the nucleus of the cell. So, all the given options are wrong. 
• The correct option is None of these.

Additional Information

• The cell membrane is also known as the plasma membrane. 
  • It is a porous structure that allows the exit and entry of certain materials according to its requirement. 
  • This is the major function of the cell membrane. 
• The cytoplasm is between the cell and the nucleus.
  • Cell organelles like mitochondria, Golgi bodies, ribosomes, etc. are present in the cytoplasm. 
  • Mitochondria is called the powerhouse of cells and is responsible for cellular respiration. 
  • vacuole is open space between cell which is used for storing food. 
• Plastids are double-membrane organelles found in the plant cell. They contain pigments that help the plant in photosynthesis. 

Concept-

• We know that all living organisms need food.
• Food supplies proteins, carbohydrates, fats, vitamins, and minerals, all of which we require for body development, growth, and health.
• Both plants and animals are major sources of food for us.
• We obtain most of this food from agriculture and animal husbandry.
• Cereals such as wheat, rice, maize, millets, and sorghum provide us carbohydrates for energy requirements.

Explanation-

The principal food crop of the world is wheat.

• Wheat is a Rabi crop that belongs to the Gramineae family.
• The scientific name of rice is Triticum aestivum.
• Wheat is the principal crop for millions of people in the world.
• Wheat grain is used for cooking.
• So, it is the principal cereal crop compared to rice, maize, and barley. 

Additional Information

• The major food crop of the world that belongs to the family is Gramineae. 
• Gramineae is also known as the Poaceae is the family that contains all the major crops that belong to the grass family.
• Poaceae or Gramineae is the most economically important plant family, providing staple foods from domesticated cereal crops as well as feed for meat-producing animals. 
• Examples such as maize, wheat, rice, barley, and millets, etc.

The correct answer is Robert Clive.

Key Points

When Alivardi Khan died in 1756, Sirajuddaulah became the nawab of Bengal.

• The Company was worried about his power and keen on a puppet ruler who would willingly give trade concessions and other privileges.
• So it tried, though without success, to help one of Sirajuddaulah’s rivals become the nawab.
• An infuriated Sirajuddaulah asked the Company to stop meddling in the political affairs of his dominion, stop fortification, and pay the revenues.
• After negotiations failed, the Nawab marched with 30,000 soldiers to the English factory at Kassimbazar, captured the Company officials, locked the warehouse, disarmed all Englishmen, and blockaded English ships.
• Then he marched to Calcutta to establish control over the Company’s fort there.

Important Points

• On hearing the news of the fall of Calcutta, Company officials in Madras sent forces under the command of Robert Clive, reinforced by naval fleets.
• Prolonged negotiations with the Nawab followed.
• Finally, in 1757, Robert Clive led the Company’s army against Sirajuddaulah at Plassey. 
• The Battle of Plassey became famous because it was the first major victory the Company won in India.

Thus, it is clear that Robert Clive led the company's army against Sirajudallah at Plassey.

Additional Information

• James Mill was a famous economist and political philosopher from Scotland.
• The Permanent Settlement of Bengal was brought into effect by the East India Company headed by Governor-General Lord Cornwallis in 1793.
• Lord Dalhousie devised a policy that came to be known as the Doctrine of Lapse.

The correct answer is  M.N Roy.

Key Points

• The idea of Constituent Assembly was given by Manabendra Nath Roy​ or M.N.Roy
• In 1934, M.N.Roy put forth the idea of the Constituent Assembly.
• The constituent assembly was formed in 1946 on the basis of the cabinet mission plan.
• Temporary Chairman - Dr. Sachchidananda Sinha.
• Permanent Chairman - Dr. Rajendra Prasad 
• Vice Chairman - Harendra Kumar Mukherjee
• Constitutional adviser - B. N. Rau
• Dr. B.R Ambedkar was the head of the Drafting Committee.
• Constitution was adopted by Constituent Assembly on 26 November 1949.
• It became effective on 26 January 1950.

Additional Information

• The Indian Constituent Assembly represented fully representative of the States and Provinces in India.
• Initially, the number of members was 389, after the partition 299 members left.
• Out of this 299, 229 were from the British provinces and 70 were nominated from the princely states.
• It aimed at providing opportunities to each and every community.
• Representatives from princely states and British Indians were also a part of it.

The Logic is:

First Number² + First Number = Second Number

25 : 650 → 25 : 25² + 25 = 625 + 25 = 650

Similarly,

21 : ? → 21 : 21² + 21 = 462

⇒ ? = 441 + 21

⇒ ? = 462

Hence, '462' is the correct answer.

1) GRASS – FEARLESS (Cannot be formed because G is missing)

2) RESEAL – FEARLESS (Can be formed)

3) LESSER – FEARLESS (Can be formed)

4) ERASE – FEARLESS (Can be formed)

Hence, the correct answer is “GRASS”.

From the common explanation, we get (C, L) sits at the extreme corner of the table.

Hence, Option D is correct.

Final Arrangement:

Common Explanation:

References:

J sits fourth to the right of O and N sits second to the left of J.

Only H sits between J and G.

Inferences:

From the above references, we get

References:

Only D sits between G and C

G is not an immediate neighbour of J but fifth to the right of I.

M, who sits exactly in the middle, is second to the right of I.

Five persons sit between L and J.

Inferences:

From the above references, we get

References:

E is not an immediate neighbour of N.

Inferences:

From the above reference, we get the final arrangement:

Scaffolding process in education is a teaching strategy to expedite children's learning process. Using this method, teachers first demonstrate how to deal a problem, then go back and offer support as and when required. Once basic learning is done, they give prompts, ask questions, cues to make the child learn and build the concept on what he has already learned.

Teachers use different evaluation methods because different subjects require different methods of assessment like science can be assessed by practical exams and languages can be assessed by evaluating verbal ability and fluency.

Let √(5 – 12i) = x + iy
Squaring both sides, we get
5 – 12i = x² + 2ixy +(iy)² = x² – y² + 2xyi.
Comparing real and imaginary parts , we get
5 = x² – y² ———– (1) and xy = – 6 ———— (2)
Squaring (1), we get
25 = (x² – y²)2 = (x² + y²)² – 4x²y²
⇒ 25 = (x² + y²)² – 4(– 6)²
⇒ (x² + y²)² = 169
⇒ x² + y² = 13 ———- (3)
Adding (1) and (3) we get
2x² = 18
⇒ x = ± 3.
Subtracting (1) from (3) we get
2y² = 8
⇒ y = ± 2.
Hence, square root of √(5 – 12i) is (3 – 2i)
Similarly, √(5 + 12i) is (3 + 2i)
√(5 + 12i) + √(5 – 12i)
⇒ (3 + 2i) + (3 - 2i)
⇒ 6

Puting x=-1
a-b+c
but
a+c<b or a+c-b<0
hence f(x)<0 for all real values of x
therefore
putting x=-2
we get f(X)=4a+c-2b<0
or 4a+c<2b

If z₁, z₂ , z₃ are collinear and az₁ + bz₂ + cz₃ = 0 then a+b+c =0 .Hence  

(1 + a)²ⁿ = C_o + C₁a + C₂a² + … + C_2n a²n
Differentiate both sides w.r.t. ‘a’.

For the 1st point chords can be drawn with joining 9 other points.
For the 2nd point distinct chords can be drawn with joining 8 other points.
 For the 9th point distinct chords can be drawn with joining 1 other point. 
So, total no. of points = 9 + 8 + 7 + . . . . . . + 1 = 45 

Since, it given that
(a₁ +ib₁)(a₂ +ib₂) ....(a_n + ib_n) = A +iB

Taking conjugate throughout, we have

Multiplying (i) and (ii), we have

(y – 3)² = –4 (x – 3) (given equation of parabola.
∴ equation of latus rectum is x = 2. 

Expand using the formula 

Identity

Tangent, T : 2x−y+1=0
Slope of tangent, T to the circle is 2
The line joining the centre and the point of contact of tangent is perpendicular with the tangent.
Thus, slope of line OA = −1/2 
Equation of OA, (y−5) = −1/2(x−2)
x + 2y = 12
∴ Intersection with x−2y=4 will give coordinates of centre which are (8,2)
∴r = OA = √(8−2)² + (2−5)²
 =3√5

f ‘ (x) = 2x – 2 = 2 (x - 1) < 0 if x < 1 i.e. x x∈ (−∞,1) x∈ (−∞,1). Hence f is strict decreasing in left decreasing in (−∞,1)

let, X =5,6,7,8,9,13,12,15.
(5+6+7+8+9+13+12+15)÷9 = 9.
and hence a = 9.
the mean deviation about the mean is summation of |X-a|÷ the total number
i.e , |X-a| = 4,3,2,1,3,0,4,3,6 and the total no. is 9.
hence summation of |X-a| = 26,
the mean deviation is 26 ÷ 9 = 2.89 ans

Making the mentally retarded students learn through concrete experiences and making them apply the learned skills will surely work for mentally retarded children. Therefore, it becomes important for the teacher to plan out instructions for clear understanding of the concepts. 

The statement "Children actively construct their understanding of the world" was said by Piaget. Piaget saw the kid as constantly creating and re-creating his own model of reality, achieving mental growth by integrating simpler concepts into higher-level concepts at each stage. He argued for a “genetic epistemology,” a timetable established naturally for the event of the child’s ability to think, and he traced four stages therein development. Hence, the correct answer is, 'Piaget.'

Rumour is a false message that spreads like wildfire. Similarly, hoax too represents a message that is spread just for hype without any validation.
None of the other options are related to rumour, thus option 2 is correct.
Example- There was a hoax of a bomb being present at the metro station.

The correct answer is 'who'. 'Who' is nominative and is used to refer to the subject. 'Whom' is objective and is used to refer to the object. The word 'whose' is possessive and is used to show belonging or association. The word 'which' is used for inanimate objects.
and in the given sentence you can see we are referring to a man who was on the continent so we are talking about the subject 
suppose the sentence is
The student, who  had lost miserably.
so in this we are talking about the student and not "you"
Example- This is Mr. Lee, who is the greatest martial art teacher of this era. But  Mr. Lee, whom you thought so highly of, has lost the fight.

Here’s the solution with a detailed explanation:

Sentence: Each one of the government hospitals are full at this point of time.

Error Identification:

• The phrase "Each one of the government hospitals" uses "each" as a singular subject. Therefore, the verb that follows should also be singular.

Correct Version:

• It should be: "Each one of the government hospitals is full at this point of time."

Explanation:

• "Each one" indicates that we are talking about individual items (in this case, hospitals), so it requires a singular verb ("is" instead of "are").

Final Answer:

• The error is in part 2.

The correct answer is Option 2. The correct spelling is ‘convenience’. 

सही उत्तर ​बलदायक या सीमाबोधक निपात है।

Key Pointsवह आज तक परीक्षा में सफल नहीं हुआ।- वाक्य के रेखांकित शब्द में बलदायक या सीमाबोधक निपात है।

अन्य विकल्प-

• स्वीकार्य निपात- हाँ, जी, जी हाँ।
• निषेधात्मक निपात- मत
• विस्मयादिबोधक निपात- क्या, काश, काश कि

निपात- किसी भी बात पर अतिरिक्त भार देने के लिए जिन शब्दों का प्रयोग किया जाता है, उसे निपात कहते है। जैसे- तक, मत, क्या, हाँ, भी, केवल, जी, नहीं, न, काश। उदाहरण- कल मै भी आपके साथ चलूँगा।Additional Information

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 –