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

Herodotus is known as the "Father of History" because he was the first historian to systematically collect and record historical events. He travelled extensively throughout the Mediterranean region, interviewing people from all walks of life to learn about their history and culture. His magnum opus, the Histories, is a comprehensive account of the Greco-Persian Wars and the history of the surrounding region.

Space One, a Tokyo-based startup, recently experienced a setback as their first privately developed rocket exploded after takeoff. Despite this setback, Space One aims to increase its launch frequency significantly in the coming years, showcasing its ambitions in the aerospace industry.

The zombie virus is related to global warming and the thawing of Arctic permafrost. The rising temperatures caused by global warming have led to the thawing of previously frozen ice, which could unleash “zombie viruses”. The zombie virus is an amoeba virus that scientists have revived from the melted ice. The new strain has one of 13 viral genomes, with Pandoravirus yedoma, 48,500 years old, being the longest frozen virus to become infectious. Scientists are developing an Arctic surveillance system to detect and contain outbreaks.

The correct answer is All of the above. 

Key Points

• Everything available in our environment which can be used to satisfy our needs provided it is technologically accessible, economically feasible, and culturally acceptable is termed as a resource.
• Resources are classified into two broad types - renewable and nonrenewable resources. 
• Resources that can be renewed or replenished are termed as renewable resources like solar energy, wind energy, geothermal energy, etc. 
• Resources that cannot be renewed or replenished are termed as non-renewable resources like oil, natural gas, coal, and nuclear energy. 

Important Points

• Resources can also be classified as natural resources and human resources. 
• Natural resources are the resources that exist without any human efforts such as sunlight, atmosphere, water, mineral, plants, etc.

In the triarchic theory, three types of intelligence proposed by Robert Sternberg are: Analytical, Creative and Practical.

The response of a young child on the basis of the past situation is related to the 'Law of Analogy' of learning. 
The 'Law of Analogy' principle was developed by Edward Thorndike. According to him, an individual makes use of old experiences while learning a new situation. The way young child did he identified the similarities between the past situation and the present one.
Hence, the correct answer is, 'Law of Analogy' of learning.

The sounds th, ph, ch are phonemes. The phoneme is the unit of sound.  A phoneme combines with other phonemes to give rise to meaningful words. Phonemes distinguish one word from another. These are established by the use of minimal pairs, such as pat vs bat or tap vs tab.
Hence, the correct answer is, 'Phonemes.'

Domain of sin^-1x is [-1,1]

Therefore, -1 ≤ log₃(x/3) ≤ 1

3^-1 ≤ x/3 ≤ 3

1 ≤ x ≤ 9

Therefore, the domain of sin^-1[log₃(x/3)] is [1,9]

Therefore , the area of triangle 

Using the Venn Diagram,
(i) A - B = A - (A ∩ B) is true

(ii) A = (A ∩ B) ∪ (A - B) is true

(iii) A - (B ∪ C) = (A - B) ∪ (A - C) is false

sin(A+B)-sin(A-B) = 2cosAsinB 
= 2cos(π/4)sinX
= 2 × 1/√2 sin X
= √2sinX

In any traingle The sum of 3 sides of a traingle is equal to 180°

Given 

A=72°

B=48°

A+B+C=180°

72°+48°+C=180°

C=180°-120°

C=60°

If l, m , n are the direction cosines of a line then , we know that,  l²+ m²+ n² = 1.

Polar is xy₁ + x₁y = 2c².. (1)
Let  normal chord at (h,k) be
hx - ky = h² - k²...... (2)
From 1 and
And hk = c² eliminate h, k and λ

Total no of players = 14 out of which 5 are fixed.
So, 11-5 = 6
Remaining players = 14 - 6
= 9 players
9C6 = 9!/(3!*6!)
= 84 

A matrix having non-zero elements only in the diagonal running from the upper left to the lower right.

The given matrix is a diagonal matrix. 

a = 4, l = 31, n = 8
(l-a)/(n+1) = (31-4)/(8+1)
= 27/9 
= 3

Let a and r the first term and common ratio, respectively.

At (x = 0) f(0) = |(0+½) .[0]| = 0
f(1) = |(1+½) .[1]| = 3/2
f(2) = |(2+½) .[2]| = 5
f(-1) = |(-1+½) .[-1]| = ½
LHL at x = 2 
lim x-->2  f(x) = |(x+½) .[2]|
=|(5/2) * 1| = 5/2
f(2) = limx-->2 f(x) ( continuous at x=2)

Let α = 2k – 1, β = 2k + 1, k ∈ N
α + β = –b /a = 4k > 0 ⇒ b < 0 and –b = 4ak > 4a ⇒ |b| > 4a

Total No. of ways = ⁶C₃
No. of favorable ways = 2