EMRS Junior Secretariat Assistant Mock Test - 8 - EMRS MCQ

Above figure represent correct mirror image of given question figure.

→ ‘O’ comes at start and last position alternatively and always number of 1’s is increased by one.

Let, the milk be in given mixture is 3x and water be in given mixture is 2x
According to question,
⇒ 3x + 2x = 20
⇒ x = 4
∴ the milk in given mixture is 12 litres and the water be in given mixture is 8 litres
After adding 2 litres of water in the given mixture, the quantity of water will be (8 + 2) = 10 litres
∴ Ratio of milk to water in new mixture = 12/10 = 6/5 = 6 : 5

We know that the formula of the volume of a hollow sphere is
4π(R³ – r³)
Here, R = external radius and r = internal radius
A hollow sphere of internal and external radius 3 cm and 5 cm respectively
So the volume of the hollow sphere = [4×π×(5³ – 3³)]/3 cc
Now, after melting this sphere, we will get a right circular cone, which’s diameter is 8 cm
So, radius of that cone = 8/2 cm = 4 cm
We know that the formula of the volume of a right circular cone is πr²h/3
Here, r is the radius of the cone and h is the height of the cone
From the question,
 we can make the equation,
π × 4² × h/3 =  [4×π×(5³ – 3³)]/3
⇒ 4h = 98
⇒ h = 24.5
So, the height of the cone is 24.5 cm

Arranging given word based on dictionary,
iv. Invariable
v. Investigate
ii. Invincible
i. Irrelevant
iii. Irresistible
order in which now they will appear as per dictionary will be iv, v, ii, i, iii 

→ Option 3) is correct, means neither I nor II conclusion follow.
→ The conclusions provided do not contain any information which supports the success of the mission. Conclusion I talks about the DRDO Chairman congratulating the DRDO & IAF teams, however, the sentence does not provide any information stating whether the mission was a success or a failure. 
Conclusion II talks about the teams involved in the mission, however, absolute absence of any of such information negates this conclusion too. 
Hence, we say that neither I nor II follow the given statements.

The pattern here is,
1000 × 1/10 = 100 ⇒ 1000 + 100 = 1100
1100 × 1/10 = 110 ⇒ 1100 – 110 = 990
990 × 1/10 = 99 ⇒ 990 + 99 = 1089
1089 × 1/10 = 108.9 ⇒ 1089 – 108.9 = 980.1
Hence the missing number is 1089.

'Brihadeeswarar Temple is a Hindu temple dedicated to Shiva located in Thanjavur in Tamil Nadu. It is also known as Raja Rajeswara Temple Rajarajeswaram and Peruvudayar Temple.

In computing, an emulator is hardware or software that enables one computer system to behave like another computer system (called the guest). An emulator typically enables the host system to run software or use peripheral devices designed for the guest system.

Direct-Reduced is produced from the direct reduction of iron ore to iron by a reducing gas or elementary carbon produced from natural gas or coal. Many ores are suitable for direct reduction.

In Hockey, Roll-in means to play the ball, after it has crossed the touchline

'An/A' is used as an indefinite article for a thing or person when the reader doesn't know which one we are referring to out of many nouns. It states the random nature of the subject.
'The' is used as a definite article for a thing or person when the reader knows which one we are exactly referring to. It states the specific nature of the subject.
Option A is incorrect as An can't be used with a word beginning with consonant. Option C is incorrect  as 'The' is used as a definite article for a particular noun, not for any tree in this case. We use an indefinite article in front of a singular countable noun i.e. the tall tree. Hence Option B is correct.

'Historical' is an h-word but begins with a stressed syllable, and it requires the 'a' article before it. Thus option 1 is the correct answer. The complete sentence is -' It would be a historical moment when America finally has a female President.'

Replace, amount → number.

Difference Between Number and Amount
The confusion between amount and number is common but can be easily overcome. They are not interchangable - their use relates to countable and uncountable nouns.

Use of Amount
Use amount is with uncountable nouns and abstract nouns:
amount of time
amount of snow
amount of noise
amount of love (abstract noun)
amount of pride (abstract noun)

Use of Number
Use number with countable nouns (things that can be counted):
number of cars
number of chairs
number of houses
number of topics

Option B is the correct answer because the passage clearly states that the main theme of the 9th World Convention on Recycling and Waste Management is "Advocating Waste Disposal and Recycling Practices for Clean and Green Environment". This is mentioned in the second paragraph of the passage.

The passage also states that the conference will provide a platform for leading scientists, researchers, and scholars from around the world to present their research related to the theme of the conference. Additionally, young researchers and students will have the opportunity to present their research through oral presentations, which can lead to collaboration among young researchers.

Therefore, the theme of the conference is focused on promoting waste disposal and recycling practices for a cleaner and greener environment, and the conference aims to bring together researchers, scientists, and scholars to present their research related to this topic.