Question : The third proportional of $a$ and $\frac{b^4}{4a}$ is:

Option 1: $\frac{b^8}{16 a^2}$

Option 2: $\frac{b^8}{8 a^2}$

Option 3: $\frac{b^8}{8 a^3}$

Option 4: $\frac{b^8}{16 a^3}$

Question : Which of the following amendments to the Indian Constitution made the right to property a legal right in place of a fundamental right?

Option 1: 40th

Option 2: 48th

Option 3: 44th

Option 4: 45th

Question : Which of the following Articles mentions a Uniform Civil Code throughout the territory of India?

Option 1: Article 44

Option 2: Article 39

Option 3: Article 40

Option 4: Article 50

Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some teachers are scientists.
All scientists are doctors.
All doctors are engineers.
Conclusions:
I. Some doctors are teachers.
II. Some engineers are teachers.
III. Some doctors are scientists.

Option 1: Only conclusions II and III follow

Option 2: Only conclusions I and III follow

Option 3: All conclusions follow

Option 4: Only conclusions I and II follow

Question : In $\triangle A B C, \angle B=78^{\circ}, A D$ is a bisector of $\angle A$ meeting BC at D, and $A E \perp B C$ at $E$. If $\angle D A E=24^{\circ}$, then the measure of $\angle A C B$ is:

Option 1: 30$^\circ$

Option 2: 38$^\circ$

Option 3: 32$^\circ$

Option 4: 42$^\circ$

Question : Direction: In the following question, one statement is given, followed by two assumptions, I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You have to decide which of the given assumptions can definitely be drawn from the given statements. Indicate your answer.

Statement:

The value of an educated person will differ from that of an uneducated person.

Assumptions:

I. Education influences an individual's values.

II. An uneducated person will not have values.

Option 1: Neither assumption I nor II is implicit

Option 2: Only assumption I is implicit

Option 3: Only assumption II is implicit

Option 4: Both assumptions I and II are implicit

Question : Directions: A % B means A is the daughter of B,
A = B means A is the sister of B,
A & B means A is the father of B.
If E = F = G & H = I, then how is G related to E?

Option 1: Brother

Option 2: Son's son

Option 3: Son's daughter

Option 4: Father

Question : Direction: Which one of the given responses would be the meaningful order of the following?

(i) Pupa    (ii)  Larva   (iii) Moth   (iv) Eggs

Option 1: (iv), (iii), (ii), (i)

Option 2: (iv), (iii), (i), (ii)

Option 3: (iv), (ii), (i), (iii)

Option 4: (iv), (i), (ii), (iii)

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
At most of the local dhabas and fast food joints, poor hygienic conditions (1)____The (2)_____occurs due to poor quality packaging material or (3)_____storage conditions. Food cooked may not be washed or cleaned properly. It is low in (4)_____rich in oil content especially trans fats which make one (5)_____, lousy and dull.
Question:
Select the most appropriate option to fill in the blank number 4.

Option 1: condition

Option 2: proportion

Option 3: nutrition

Option 4: production

Question : Comprehension:

Read the passage and answer the questions that follow.

The Roman Empire covered a vast stretch of territory that included most of Europe as we know it today and a large part of the Fertile Crescent and North Africa.
The Roman Empire embraced a wealth of local cultures and languages; women had a stronger legal position then than they do in many countries today; but also that much of the economy was run on slave labor, denying freedom to substantial numbers of persons. From the fifth century onwards, the empire fell apart in the west but remained intact and exceptionally prosperous in its eastern half.
Roman historians have a rich collection of sources to go on, which we can broadly divide into three groups: (a) texts, (b) documents and (c) material remains. Textual sources include letters, speeches, sermons, laws, and histories of the period written by contemporaries. These were usually called ‘Annals’ because the narrative was constructed on a year-by-year basis. Documentary sources include mainly inscriptions and papyri. Inscriptions were usually cut on stone, so a large number survived, in both Greek and Latin. The ‘papyrus’ was a reed-like plant that grew along the banks of the Nile in Egypt and was processed to produce sheets of writing material that was very widely used in everyday life. Thousands of contracts, accounts, letters, and official documents survive ‘on papyrus’ and have been published by scholars who are called ‘papyrologists’. Material remains include a very wide assortment of items that mainly archaeologists discover (for example, through excavation and field survey), for example, buildings, monuments and other kinds of structures, pottery, coins, mosaics, and even entire landscapes. Each of these sources can only tell us just so much about the past, and combining them can be a fruitful exercise, but how well this is done depends on the historian’s skill!

Question:

Who were papyrologists?

Option 1: People who processed papyrus into sheet

Option 2: Scholars who published documents

Option 3: Farmers who cultivated papyrus

Option 4: People who surveyed the reed like plants along the Nile