Arrange the following words in alphabetical order and find the third word?
Singer, Single, Sinister, Simple.
To arrange words in alphabetical order, we compare them letter by letter from left to right. The word that comes first alphabetically at the first differing letter determines its position. We will list the given words and then sort them.
Wait, let's re-evaluate step 3 and 4 carefully. My apologies for the previous error. Let's re-do the comparison thoroughly.
Correct Option: A) Single
Answer the next 3 Questions.
Comprehension:
Read the following information and answer the following questions.
In a class of 40 students, 28 can speak Tamil and 30 can speak Telugu.
All students can speak at least one of the two languages.
SubQuestion No: 1
Find the number of persons who can speak only Telugu?
This problem can be solved using the principle of inclusion-exclusion for two sets, or by using a Venn diagram approach. We are given the total number of students, the number of students who speak Tamil, and the number of students who speak Telugu. We also know that every student speaks at least one language. We need to find the number of students who speak only Telugu.
Using the principle of inclusion-exclusion for two sets:
\[ n(T \cup L) = n(T) + n(L) - n(T \cap L) \]Substitute the known values:
\[ 40 = 28 + 30 - n(T \cap L) \] \[ 40 = 58 - n(T \cap L) \] \[ n(T \cap L) = 58 - 40 \] \[ n(T \cap L) = 18 \]So, 18 students can speak both Tamil and Telugu.
The number of students who can speak only Telugu is the total number of students who speak Telugu minus those who speak both languages:
\[ \text{Only Telugu} = n(L) - n(T \cap L) \] \[ \text{Only Telugu} = 30 - 18 \] \[ \text{Only Telugu} = 12 \]Correct Option: C) 12
SubQuestion No: 2
Find the number of students who can speak only Tamil.
The problem asks us to find the number of students who can speak only Tamil based on a Venn diagram. We need to identify the region in the Venn diagram that represents only Tamil speakers, excluding those who also speak other languages.
B) 10 is the correct answer. The Venn diagram indicates that 10 students speak only Tamil, as this number is in the part of the Tamil circle that does not overlap with the English or Hindi circles.
SubQuestion No: 3
Find the minimum number of students who can speak both Tamil and Telugu.
This problem can be solved using the principle of inclusion-exclusion for two sets. We are given the total number of students, the number of students who can speak Tamil, and the number of students who can speak Telugu. We need to find the minimum number of students who can speak both languages.
Let \(N\) be the total number of students.
Let \(T\) be the set of students who can speak Tamil, and \(Te\) be the set of students who can speak Telugu.
We are given:
The principle of inclusion-exclusion states that:
\[ |T \cup Te| = |T| + |Te| - |T \cap Te| \]Here, \(|T \cup Te|\) represents the number of students who can speak at least one of the two languages (Tamil or Telugu).
To find the minimum number of students who can speak both languages, \(|T \cap Te|\), we need to consider the maximum possible value for \(|T \cup Te|\). The maximum number of students who can speak at least one of the languages cannot exceed the total number of students. Therefore, \(|T \cup Te| \le N\).
So, we can write the inequality:
\[ |T| + |Te| - |T \cap Te| \le N \]Substitute the given values:
\[ 30 + 38 - |T \cap Te| \le 50 \]\[ 68 - |T \cap Te| \le 50 \]Rearrange the inequality to solve for \(|T \cap Te|\):
\[ 68 - 50 \le |T \cap Te| \]\[ 18 \le |T \cap Te| \]This inequality tells us that the number of students who can speak both Tamil and Telugu must be greater than or equal to 18. Therefore, the minimum number of students who can speak both languages is 18.
C) 18 is the minimum number of students who can speak both Tamil and Telugu, as derived from the inclusion-exclusion principle.
The question asks about the primary function of the lens in the human eye. To answer this, we need to recall the basic anatomy and physiology of the eye, specifically the role of its various components in vision.
Correct Option: C) Change the focal distance of the eye
The primary function of the lens is to adjust its shape to change the focal length (or focal distance) of the eye, allowing clear images of objects at varying distances to be formed on the retina. This process is known as accommodation.
The question asks about the number of natural satellites (moons) orbiting the planet Mars. This is a factual question related to basic astronomy.
Correct Option: B) Mars has 2 moons, Phobos and Deimos.
In India, who is the real executive head (head of the government)?
The question asks to identify the real executive head of the government in India. This requires understanding the distinction between the nominal (de jure) and real (de facto) executive powers in India's parliamentary system.
Correct Option: A) The Prime Minister is the real executive head (head of the government) in India. They lead the Council of Ministers and are responsible for the day-to-day administration and policy-making of the country.
The problem asks us to find the Least Common Multiple (LCM) of two numbers, given their product and their Highest Common Factor (HCF). We can use the fundamental relationship between the product of two numbers, their HCF, and their LCM.
Thus, the LCM of the two numbers is 1378.
Correct Option: C) 1378
The question asks to identify the capital city of Cyprus. This is a direct factual question related to world geography, specifically the capitals of countries. Knowledge of international geography is crucial for competitive exams.
A) Nicosia is the capital and largest city of Cyprus. It is located on the Mesaoria Plain, on the banks of the River Pedieos. Nicosia is the southeasternmost of all EU member state capitals.
This is a blood relation and logical reasoning question. We need to carefully follow the given substitutions for family members and then apply them to determine how the sister would be called.
A) Father — According to the given conditions, "your sister" is now referred to as "your father". So, you would call your sister "father".