NVS PGT Mathematics Mock Test - 7 - NVS TGT/PGT MCQ

The correct answer is Khwaja Moinuddin Chishti.

Key Points

• Khwaja Moinuddin Chishti came to India in 1192 CE and afterwards, he started the Sufi sect in India.
• After visiting many places in India, he settled permanently in Ajmer.
• The tomb of Khwaja Moinuddin Chishti in Ajmer is known as Ajmer Sharif’.
• His disciples or devotees recall him by the names of ‘Khwaja Sahib’ or ‘Garib Nawaz’.
• Chishti sect considers music as the important source of displaying love for God. 

Thus, we can conclude that the Sufi sect was started by Khwaja Moinuddin Chishti.

Additional Information

• Baba Farid was a Sunni Muslim and was one of the founding fathers of the Chishti Sufi order.
• Shaikh Nuruddin, also known as Nund Rishi was a Kashmiri Sufi saint, mystic, poet and Islamic preacher. Nund Reshi was among the founders of the Rishi order, a Sufi tradition of the region.
• Amir Khusro was an Indo-Persian Sufi singer, musician, poet and scholar who lived under the Delhi Sultanate. He was an iconic figure in the cultural history of the Indian subcontinent.

The correct answer is Nagaland.

• Kohima is the capital of Nagaland.

Key Points

• In 1963, the State of Nagaland was formed by taking the Naga Hills and Tuensang area out of the state of Assam.
• Nagaland shares its International border with Myanmar.
• Nagaland shares its borders with Arunachal Pradesh, Manipur, and Assam.
• Neiphiu Rio is the current Chief Minister of the state.

Additional Information

• Gangtok is the capital of Sikkim.
• Shillong is the capital of Meghalaya.
• Agartala is the capital of Tripura.

The Venn diagram that best represents the relationship between Crockery, Plate, and Bowl is shown below:

Bowl and Plate are name of Crockery items.

Hence, ‘option 3’ is the correct answer.

1) DARKEST – SKATEBOARD (Can be formed)

2) ABROAD – SKATEBOARD (Can be formed)

3) STRIKE – SKATEBOARD (Cannot be formed because I is missing)

4) BEAST – SKATEBOARD (Can be formed)

Hence, the correct answer is “STRIKE”.

GIVEN:

The average of 40 numbers = 25

CONCEPT:

Basic Average concept.

FORMULA USED:

Average = Sum of all numbers/Total numbers

CALCULATION:

Sum of numbers = 40 × 25 = 1000

23, 25 and 41 are mistakenly written as 32, 52 and 15 respectively.

⇒ Change in sum = (23 + 25 + 41) – (32 + 52 + 15)

= 89 – 99

= -10

Actual sum of numbers will be 10 less.

⇒ Sum of numbers = 1000 – 10 = 990

∴ Correct average = 990/40 = 24.75

Hence, the person does not satisfy all the conditions.

The logic follows here is:

Middle number = square root of first number + third number.

Row-wise operation :

(25, 41, 36)

middle number = 41

= √25 + 36

= 5 + 36

= 41

(49, 45, 38)

middle number = 45

= √49 + 38

= 7 + 38

= 45

Similarly

(36, ?, 62)

middle number = ?

= √36 + 62

= 6 + 62

= 68

Hence, the correct answer is "68"

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 patterns 13 ± 1, 23 ± 1,  and so on.
• The difference of the numbers could be in the patterns 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. 

Example of e-mail address is

Students will respect the teacher the most, if he/she is sincere. The teacher must be able to reflect sincerity in her attitude and behaviour. She could do this by showing concern and care for students. These positive interpersonal behaviours, where teachers spend time talking to students about their personal or social issues, promote a sense of belonging and strengthen the bond between the teacher and the students.

if f(x) is an odd function

So, f(−x)=−f(x)

F(−x)=cos(f(−x))

=cos(−f(x))

=cos(f(x))

=F(x)

So cos(f(x)) is an even function

So, f(x) and g(x) is an even function

x²+y²+4x-6y=5
Circle Equation
(x-a)²+(y-b)²=r² is the circle equation with a radius r, centered at (a,b)
Rewrite x²+y²4x-6y=5 in the form of circle standard circle equation
(x-(-2))²+(y-3)²=(3√2)^{2
Therefore the circle properties are:}
(a,b) = (-2,3), r = 3√2

Total Permutations of n different things taken r at a time when a particular item is always included in the arrangement is : r * (n-1 p r-1).

Given that f (x)  = (x + 1)² –1,  x > –1 Clearly D_f = [–, ∞) but co-demain is not given.
Therefore  f (x) need not be necessarily onto.
But if f (x) is onto then as f (x) is one one also, (x + 1) being something +ve, f^–1(x) will exist where (x + 1)² –1 = y

∴ The statement-1 is correct but statement-2 is false.

Let n (s) = total number of ways of seating (permutations) 6 boys and 6 girls
i.e. 12 people = ¹²P₁₂ = 12!
Let E: six girls sit together.
Then they become one unit
∴ No. of units is 6 boys + 1 unit of girls = 7 units
∴ n (E) = No. of ways in which six girls can sit together is = 7!, 6!
(Here 6! is the number of ways in which the six girls can sit among themselves)

The correct answer is a) A

• B' gives us all the elements in U other than 6 and 7 i.e., B' = {1, 2, 3, 4, 5, 8, 9, 10}
• The intersection of this set with A will be the common elements in both of these (A and B') i.e., = {1, 2, 5} which is set A itself.

(2+0) + (2+1²) + (2+2²) + (2 3²)+...
∴ t_n = 2+(n-1)²

Required area :

We have x² + px + 1 = (x – a)(x – b)
Thus, E = (c – a)(c – b)(-d - a)(-d - b)
= (c² + pc + 1)[(-d²) - pd + 1] = (c² + pc + 1)(d² - pd + 1)       [∴ a + b = -p]
But c² + qc + 1 = 0 and d² + qd + 1 = 0
∴ E = (-qc + pc)(-qd - pd) = cd(q - p)(q + p) = cd(q² - p²) = q² - p² [∴ cd = 1]

a_n = 57, a = 2, n = 12
a_n = a + (n-1)d
=> 57 = 2 + (12 - 1)d
=> 55 = 11d
d = 5
T10 = a + 10d
=> 2 + 10(5) 
= 52

Rule- The object in the active voice becomes the subject in the passive voice and the subject in the active voice becomes the object in the passive voice.This is valid in both ways (Active to passive and vice-versa). Further, the verb is changed to the past participle form. 

संज्ञा या विशेषण से बनने वाली क्रिया को 'नाम धातु' कहते है। अन्य सभी विकल्प गलत है।

Key Points

Additional Information

विशेष:

"मालिक नौकर से काम करवाता है।” वाक्य में प्रेरणार्थक क्रिया है।

• जिस क्रिया से ज्ञान हो कि कर्ता स्वयं कार्य को न करके किसी अन्य को कार्य करने की प्रेरणा देता है वह प्रेरणार्थक क्रिया कहलाती है।
• जैसे - माता पिता अपने बच्चो के कार्य करवाते है।

Hint

प्रेरणार्थक क्रिया के उदाहरण

• वह सबसे चालान भरवाता है.
• महेश बच्चों को रुलाता है.
• गीता बच्चों को हिंदी पढ़ाती है.
• सुरेश आज नौकर से गाड़ी धुलवाना।
• आज तुम विजय से चाय बनवाना।

Key Pointsअन्य विकल्प

दिए गए विकल्पों में से विकल्प 1 "मैं किशोर को खाना खिलाती हूँ।" सही है।

Key Points

• "मैं किशोर को खाना खिलाती हूँ।" ‘द्विकर्मक क्रिया’ वाले वाक्य है।
• जिस क्रिया के उपयोग से दो कामों के पूरे होने का पता चलता है उसे द्विकर्मक क्रिया कहते हैं।
  • जैसे:- दुकानदार ने ग्राहक को पुस्तक दी। इस वाक्य में दी क्रिया का फल दो कर्मों पर पढ़ता है, इसलिए इस वाक्य में द्विकर्मक क्रिया है।
    • दिए गए वाक्यों में केवल "मैं किशोर को खाना खिलाती हूँ।" में द्विकर्मक क्रिया है। ​

Additional Information