EMRS PGT Mathematics Mock Test - 9 - EMRS MCQ

The correct answer is Earth.

Key Points

• From the sun, it is the third planet.
• Life existed only on this planet.
• Around 4.5 billion years ago, the earth was formed.
• Inside the solar system, the earth is a rocky planet.
• Earth moves around the sun due to the large mass of the sun.
• In space, the earth also turns around.
• At different times, a different part of the earth is faced by the sun.
• A large amount of liquid water is found only on the earth.
• Water covers around 74 percent area of the earth.
• From different places, the earth's water came.
• Of all the rocky planets, the earth is the largest.
• As compared to Jupiter, it is very small.

Hence, the Earth is known as a blue planet.

The logic followed is:

ROSE is coded as 6821

CHAIR is coded as 73456

PREACH is coded as 961473

Therefore SEARCH will be written as

Hence, the correct answer is "214673".

The logic follows here is:

Now,

Vasudha is 13 years old, has a weight of 48 kgs and a height of 161 cms.

It is clearly mentioned in the criteria of Hockey and Football about the weight of the candidate. Vasudha has a weight of 48 kgs which is less than the criteria set for both games. Therefore, Vasudha neither qualifies for Hockey nor for Football.

Hence, the correct answer is "Neither Hockey nor Football".

The first cell in EXCEL worksheet Is labeled as "A1"

The cause of Rohit's poor performance can be either physical problems, family disturbances or his maturation process.
Rohit may not be physically fit or may be suffering from some physical ailment, which might be affecting his studies and resulting in poor performance.
There may be some disturbances at home, which may be affecting his studies. A construction work at home or a fight amongst elders could be the reason behind his recent performance.
The mental capabilities of Rohit are maturing but maybe not up to the level that is required to understand the concepts taught in the class. Thus, he might be performing poorly.
Apart from this, the teacher might lack the required knowledge of modern educational and psychological theories. This can lead to students' poor academic performance. Several other factors also lead to poor academic achievement, such as social factors, economic factors and political conditions.

A knowledge survey is a method of evaluating the delivery of a course through the gathering of feedback from the learner on the level of the knowledge they acquired after the completion of the instruction. It usually consists of questions that cover the content of the course. The surveys evaluate student learning and content mastery at all levels: from basic knowledge and comprehension through higher levels of thinking. Knowledge surveys can serve as both formative and summative assessment tools.

A teaching aid cannot prevent behavioural problems. Proper psychological treatment is required to deal with behavioural problems. Teaching aid is a means used by teachers for facilitating learning among pupils. They reinforce learning and do not address any behavioural problems.

f (x) is onto ∴ S = range of f (x)

∫(-3 to 3) (x+1)dx

=  ∫(-3 to -1) (x+1)dx +  ∫(-1 to 3) (x+1) dx 

= [x² + x](-3 to -1) + [x² + x](-1 to 3)

= [½ - 1 - (9/2 - 3)] + [9/2 + 3 - (½ - 1)]

= -[-4 + 2] + [4 + 4]

= -[-2] + [8]

= 10

(A) The  radical axis of the circle x² + y² = 1 and the circle given in is x = -2, which is | | to y-axis 
(B) is y = 2, which is | | to x-axis
(C) is x = 0, which is y-axis 
The radical axis with circle in (A) | | to y-axis and the given circle intersect circle given in A orthogonally. 

Since g(x) and h(x) are integrals of the same function , therefore ; g(x) – h(x) is constant.

The Required point is the radical centre of the three given circles. The radical axes of the three circles taken in pairs are 3x - 24 = 0,16y + 120 = 0 and - 3x + 16y + 80 = 0. On solving, the required point is (8, -15/2).

The domain in ordered pair (x,y) is represented by x-coordinate. Therefore, the domain of the given function is given by : {1, 3, 2}.

Let the equation of the required circle be (x – h)² + (y – k)² = r².
Since the centre of the circle passes through (0, 0),
(0 – h)² + (0 – k)² = r²
⇒ h² + k² = r²
The equation of the circle now becomes (x – h)² + (y – k)² = h² + k².
It is given that the circle makes intercepts a and b on the coordinate axes. This means that the circle passes through points (a, 0) and (0, b). Therefore,
(a – h)² + (0 – k)² = h² + k² …………… (1)
(0 – h)² + (b – k)² = h² + k² ………… (2)
From equation (1), we obtain a² – 2ah + h² + k² = h² + k²
⇒ a² – 2ah = 0
⇒ a(a – 2h) = 0
⇒ a = 0 or (a – 2h) = 0
However, a ≠ 0; hence, (a – 2h) = 0 ⇒ h =a/2.
From equation (2), we obtain h² + b² – 2bk + k² = h² + k²
⇒ b² – 2bk = 0
⇒ b(b – 2k) = 0
⇒ b = 0 or(b – 2k) = 0
However, b ≠ 0; hence, (b – 2k) = 0 ⇒ k =b/2. Thus, the equation of the required circle is

• All three of them are positive in Quadrant I
• Sine only is positive in Quadrant II
• Tangent only is positive in Quadrant III
• Cosine only is positive in Quadrant IV
• 

Required area :

b² = ac
a = 3/2, c = 27/2
⇒ b² = 3/2 * 27/2
⇒ b = (√81/4)
⇒ b = 9/2

The amplitude of y = 3sinx is 3.
graph{y=-3*sinx [-10, 10, -5, 5]}
Amplitude is the height of a periodic function, aka the distance from the center of the wave to it's highest point (or lowest point). You can also take the distance from the highest point to the lowest point of the graph and divide it by two.

Remember, if the total number of tickets is (2n + 1) and three (3) tickets are drawn at random; then the number of ways that numbers on the drawn tickets are in AP is n².
Here 2n + 1 = 15
⇒ 2n = 14
⇒ n = 7

D is not a trigonometric identity.

a₁ + a_2n = a₂ + a_2n-1 = a_n + a_n-1 = K(say)

The reason behind Kritika's this behaviour shows that her thoughts get acknowledged in schools. Sometimes it happens with children, if they feel that they are not being given importance or no one will praise them then they adopt such kind of behaviour that they talk only to those people who praise them gives due importance. Hence, the correct answer is, 'Her thoughts get acknowledged in schools.'

The sentence indicates Sarah's massive success as a businessman; the company which was once small has now turned into an enormous one. Out of the given options, 'gargantuan' means enormous. The other words, 'gorgeous', 'tiny', and 'mendacious' respectively mean attractive, minuscule, deceitful and friendly. Hence, the correct answer is 3.

The given sentence is in the active voice. The correct conversion to passive voice is given in option 2. Options 1 and 4 change the meaning of the given sentence and option 3 gives an incomplete conversion. 

राधा का भाई आने वाला है। ये विधानवाचक वाक्य है।

• राधा का भाई आने वाला है - विधानवाचक वाक्य
• विधानवाचक वाक्य - जिस वाक्य से किसी बात के होने का बोध होता है उसे विधानवाचक वाक्य कहते हैं।
  • वाक्य प्रयोग - निकित हमेशा आलस करती है।

Important Pointsअर्थ की दृष्टि से वाक्य के आठ भेद होते हैं -