NVS PGT Mathematics Mock Test - 2 - NVS TGT/PGT MCQ

The Logic followed here is:

The third number = The First number × (second number ÷ 2)

In Row 1:- 10, 4, 20

The third number = 10 × (4 ÷ 2)

= 10 × 2 = 20

In Row 2:- 15, 8, 60

The third number = 15 × (8 ÷ 2)

= 15 × 4 = 60

Similarly,

In Row 3:- 25, 8, ?

The third number = 25 × (8 ÷ 2)

? = 25 × 4 = 100

Hence, the correct answer is "100".

Additional Information 

The most common pattern asked in exams are based on:

• It could be the sum of two numbers divided by a constant
• It could be the average of numbers.
• It could be in the form of alphabets, where alphabets are increased by constant or increased by the square of numbers or increased by prime numbers.
• It could be the difference of product of two diametrically opposite numbers.
• It could be the difference in the sum of adjacent numbers.
• The difference of the numbers could be in the pattern 13 ± 1, 23 ± 1,  and so on.
• The difference of the numbers could be in the pattern 12 ± 1, 22 ± 1, and so on.
• Numbers could be 12, 22, 32, and so on or 13, 23, 33, and so on.
• The difference could be prime numbers or the difference could be the square of prime numbers.
• The difference could be in the form of N2 ± N or N3 ± N.
• The difference could be in the form of ×N + N or ×2 + 1, ×2 + 2, ×2 + 3, and so on.
• The difference could be in the form of ×2 ± 1 alternatively.
• Numbers could be ×1, ×2, ×3, and so on. 

From the diagram given below:

The shaded part represents the singers, who are directors but not actors.

Hence, the correct answer is "7".

The description is as follows:

Hence, ‘COW’ is the odd one out.

Key Points

• ICT has also become integral to the teaching-learning interaction, through such approaches as replacing chalkboards with interactive digital whiteboards, using students’ own smartphones or other devices for learning during class time, and the “flipped classroom” model where students watch lectures at home on the computer and use classroom time for more interactive exercises.
• Teachers need specific professional development opportunities in order to increase their ability to use ICT for formative learning assessments, individualized instruction, accessing online resources, and fostering student interaction and collaboration.
• In many ways, ICT has become a part of children's everyday lives, even in preschools. The computer has now become a common tool for the education of preschool children because when used appropriately, it can reinforce their learning experiences.

It can be concluded that clear instructions are important in ICT-supported teaching-learning strategies.

Planning for the effective use of ICTs in education necessitates understanding the potential of technology to meet different educational objectives and, consequently, deciding which of these objectives to pursue.

• This decision affects the choice of technologies and the modalities of use.

Key Points

Following are the four objectives that may be enhanced by ICTs:

1. expanding access to all levels of education;
2. improving the quality of education;
3. enhancing lifelong learning; and
4. facilitating nonformal education

Hence, we can conclude that all of the above are the objectives of ICT.

Formative evaluation refers to a wide variety of methods that teachers use to conduct in-process evaluations of student comprehension, learning needs and academic progress during a lesson, unit or course.

4 , because the no. of arbitrary constants is equal to order of the differential equation.

= cos (log x) cos (cos y)   [cos(log(x/y))+cos(log(xy))] 
= cos (log x) cos (log y)  [cos(log x - log y)+cos(log x +log y)]
= cos (log x) cos (log y) [2 cos(log  x)cos(log y)] = 0

2

= x+10 = 3x+4
= x = 3

The lines represented by A where a > 0 and when a < 0 are given in the following figures

The area enclosed by A and D would be zero if d < |a|. In choice (b), d = 1 and a = – 2 i.e., d < |a|.
If a > 0, then the only case when the area enclosed by A and D will be zero, is when d = 0.

The two curves y² = 4x and y = x meet where x² = 4x i.e ..where x = 0 or x = 4 . Moreover , the parabola lies above the line y = x between x = 0 and x = 4 . Hence , the required are is :

Let S be success &F be failure and let p = probability of getting head = 1/2
q = 1/2
A starts the game then
P (A wins) = P (A wins in first throw) + P (A wins in third throw) + P (A wins in fifth throw) +......... ∞
= P(S) + P(FFS) + P(FFFFS) +......... ∞
= p + q.q.p + q.q.q.q.p +.........


This is an infinite GP and hence its sum is

so that the equation becomes 1/z = 1z²

where ω (≠1) is a cube root of unity.

If you interchange (switch) two rows (or columns) of a matrix A to get B, then det(B) = –det(A). Hence, the determinant is -(-7)

= 7

Since g(x) = |x| is a continuous function and   so f is continuous function. In particular f is continuous at a = 1 and x = 4) f is clearly not differentiable at x = 4) Since g(x) = |x| is not differentiable at x = 0. Now

Required area :

Here, 0 ≤ x- 3 ≤ 7 - x  
⇒0 ≤ x - 3 and x - 3 ≤ 7 - x
By solvation, we will get 3 ≤ x ≤ 5
So x = 3,4,5 find the values of ^7-x P_{x - 3} by substituting the values of x
at x = 3 ⁴P₀ = 1
at x = 4 ³P₁ = 3 
at x = 5 ²P₂ = 2

A punishment can never help in making an emotional connect with the children. So, this option is NOT TRUE for corporal punishment.

"News" is always used in the singular form. Hence, it requires a singular supporting verb.
Correct Sentence- No news of firing along the border has been heard of.

Derelict means to be irresponsible while performing some duty. 

The municipality was derelict in doing its duty properly
 

सही उत्तर है - ‘अचल’।

• पृथ्वी का पर्यायवाची शब्द अचल नहीं होगा।
• अन्य विकल्प इला, अचला और अवनि पृथ्वी के पर्यायवाची शब्द है।

Key Points

• पृथ्वी के अन्य पर्यायवाची शब्द : महि, मेदिनी, धरा, रसा, वसुन्धरा, विकेशी, क्षमा, धरती, धरणी आदि।​
• अचल के पर्यायवाची शब्द : भूधर, महीधर, नगपति, शिखर, अद्री, तुंग, धरणीधर, पर्वत, पहाड़, गिरी आदि।

Additional Informationसमानार्थी शब्द:

• वे शब्द जिनका अर्थ एक समान होता हैं समानार्थी शब्द कहलाते हैं।
  समानर्थी शब्द को हम पर्यायवाची शब्द भी कहते है। ‘पर्याय’ का अर्थ है ‘समान’ तथा ‘वाची’ का अर्थ है ‘बोले जाने वाले’ अर्थात
  समान बोले जाने वाले शब्दों को हम पर्यायवाची शब्द या समानार्थी शब्द कहते है।

पर्यायवाची शब्द के उदाहरण :

• पत्नी- भार्या, दारा, अर्धांगनी, वामा, गृहिणी, बहू, वधू, कलत्र, प्राणप्रिया।
• दोस्त- बन्धु, मित्र, साथी, यार, सखा, हितैषी, अंतरंग।
• बसंत- ऋतुराज, ऋतुपति ,मधुमास ,कुसुमाकर।

सही उत्तर 'सेना' है।

Additional Information

• दिए गए विकल्पों में से 'अनी' का सही पर्यायवाची शब्द 'सेना' होगा।
• अनी के अन्य पर्यायवाची शब्द- कटक, दल, फौज, चमू, अनीकिनी।

अन्य विकल्प:

• स्वादिष्ट के पर्यायवाची - मजेदार, सुस्वादु।
• दुष्ट के पर्यायवाची - पापी, नीच, दुर्जन, अधम, खल, पामर।
• सेतु के पर्यायवाची - गर्डर, धराई, धरण।

Key Points

• एक ही अर्थ में प्रयुक्त होने वाले शब्द जो बनावट में भले ही अलग हों, पर्यायवाची या समानार्थी शब्द कहलाते हैं।

• 'मत्स्य' का पर्यायवाची है - मीन।
• मत्स्य शब्द के अन्य पर्यायवाची शब्द - जलजीवन, शफरी, मकर, मछली।

Key Points

अन्य विकल्प-

Additional Informationपर्यायवाची शब्द के अन्य उदाहरण -

• मुनि के पर्यायवाची शब्द - साधू, संत, मनीषी, महात्मा, ऋषि।
• मैना के पर्यायवाची - सारी, सारिका, त्रिलोचना, मधुरालाषा, कलहप्रिया।

Additional Information