CMAT 2025 Slot 2 Question Paper

Number of multigrain packets sold by store C, D and E = 72, 54 and 84 respectively.

Number of whole wheat packets sold by store A and E = 44 and 72 respectively.

So, number of multigrain packets sold by store F = $$\dfrac{72+54+84}{3}=70$$

Number of whole wheat packets sold by store F = $$\dfrac{44+72}{2}=\dfrac{116}{2}=58$$

So, total number of packets sold by store F = $$70+58=128$$

Selling Price of each packet of store F = ₹ $$240\times\ 1.2=288$$

So, total revenue collected by store F = ₹ $$288\times\ 128$$ = ₹ $$36864$$

So, option B is the correct answer.

Total number of packets sold by store C = 80+72 = 152

Total number of packets sold by store E = 84+72 = 156

Hence, percentage less = $$\dfrac{152-156}{156}\times\ 100\%=-\dfrac{4}{156}\times\ 100\%=-2.56\%$$

Among the given options, option (B), $$3\%$$ less is the closest.

So, option (B) is the correct answer.

Multigrain packets sold by store A and B = $$92+64=156$$

Whole-wheat packets sold by store C and D = $$80+40=120$$

So, required percentage increase = $$\dfrac{156-120}{120}\times\ 100\%=\dfrac{36}{120}\times\ 100\%=30\%$$ more.

So, option (D) is the correct answer.

Each of the 4 people can have a birthday in any of the 12 calendar months. The total number of ways the birthdays can be distributed is = $$12\times\ 12\times\ 12\times\ 12=12^4$$

Now, for the birthdays to fall in exactly two calendar months, we must first choose which two months these will be. The number of ways of choosing = $$^{12}C_2=\dfrac{12\times\ 11}{2}=66$$

For each person, their birthday can be in one of the two chosen months. This gives $$2^4=16$$ total possibilities.

However, this includes two cases where all four birthdays fall in just one of the two months (either all in the first chosen month or all in the second). We must subtract these two cases to ensure the birthdays fall in exactly two months.

So, number of ways = $$2^4-2=16-2=14$$ possibilities.

Total number of favourable cases = $$66\times\ 14$$

So, required probability = $$\dfrac{66\times\ 14}{12\times\ 12\times\ 12\times\ 12}=\dfrac{77}{1728}$$

So, option A is the correct answer.

For the ninth one to be the last defective, among the first 8 watches, first 3 has to be defective.

So, total number of ways of selecting = $$^8C_3$$

And total number of possible cases = $$^{15}C_4$$

(Out of the 15 watches, examined in order, any 4 can be defective)

So, required probability = $$\dfrac{^8C_3}{^{15}C_4}=\dfrac{\dfrac{8!}{3!\times\ 5!}}{\dfrac{15!}{4!\times\ 11!}}=\dfrac{8}{195}$$

So, correct answer is option B.

1.) First and second in Mathematics:

There are 30 students eligible for the first prize and 29 students remaining for the second prize.

So, total number of ways of distributing the prize = $$30\times\ 29$$

2.) First and second in Physics:

There are 30 students eligible for the first prize and 29 students remaining for the second prize.

So, total number of ways of distributing the prize = $$30\times\ 29$$

3.) First in Chemistry:

There are 30 students eligible for the first prize.

So, total number of ways of distributing the prize = 30

4.) First in English:

There are 30 students eligible for the first prize.

So, total number of ways of distributing the prize = 30

So, total number of ways of giving all the prizes = $$\left(30\times\ 29\right)\times\ \left(30\times\ 29\right)\times\ 30\times\ 30=30^4\times\ 29^2$$.

So, correct answer is option D.

Evaluating A:

$$\dfrac{5}{9}\times\ \left(225.4-45.4\right)=\dfrac{5}{9}\times\ 180=100=\left(10\right)^2$$

So, A= 10

Evaluating B:

$$\sqrt{1024}\times40+(20)^2+0.5\%$$ of $$9600+469=(?)^{3}$$

=$$32\ \times\ 40+400+\dfrac{0.5}{100}\times\ 9600+469=32\times\ 40+400+48+469=2197=13^3$$

So, B=13

Evaluating C:

$$\dfrac{8^2}{16^2}\times\ 32^3\times\ \sqrt{\ 256}=\dfrac{1}{2^2}\times\ \left(2^5\right)^3\times\ 2^4=2^{17}$$

So, C=17

Evaluating D:

$$18\dfrac{1}{3}+9\dfrac{2}{3}-10\dfrac{1}{3}=8+9\dfrac{2}{3}=1\dfrac{2}{3}+8+8=1\dfrac{2}{3}+16$$

So, D = 16

So, the correct order of arrangement is $$C>D>B>A$$

After the 2-year course gets completed, ₹ 6 lakh loan will amount to: ₹ $$6\left(1+\dfrac{8}{100}\right)^2$$

Now, he has repayed half of the amount.

So, amount outstanding after completion of course = $$\dfrac{6}{2}\left(1+\dfrac{8}{100}\right)^2=3\left(1.08\right)^2=3.4992$$ lakh

Now after another 2 years, when rate of interest will be 10% p.a., the amount will become = $$3.4992\left(1+\dfrac{10}{100}\right)^2=3.4992\times\ 1.1^2=4.234032$$ lakh

So, amount returned by Ravi = ₹ $$(3.4992+4.234032)=7.733232$$ lakh.

So, option A is the correct answer.

Let the efficiency of Bhushan be $$x$$ units/hr.

So, efficiency of Amit be $$1.5x$$ units/hr.

Given, Bhushan alone can do a piece of work in 30 hours.

So, total work = $$30x$$ units

Given, Bhushan starts working and had already worked for 12 hours.

So, work done by Bhushan = $$12x$$ units

So, remaining work = $$30x-12x=18x$$ units

Now, this remaining work will be completed by both Amit and Bhushan.

So, required number of hours = $$\dfrac{18x}{x+1.5x}=\dfrac{18x}{2.5x}=\dfrac{180}{25}=7.2$$ hours.

So, correct answer is option (D).

It is given, cylindrical box of radius 5 cm contains 10 solid spherical balls, each of radius 5 cm.

So, height of the cylinder = $$10\times\ 2r=10\times\ 2\times\ 5=100$$ cm.

So, volume of cylinder = $$\pi\ r^2h=\pi\ \times\ 5^2\times\ 100=2500\pi\ $$ $$cm^3$$

Now, volume of one sphere = $$\dfrac{4}{3}\pi\ r^3=\dfrac{4}{3}\times\pi\ \times\ 5^3=\dfrac{500}{3}\pi\ $$ $$cm^3$$

So, volume of 10 spheres = $$\dfrac{500}{3}\times\ 10\ \pi\ =\dfrac{5000}{3}\pi\ $$ $$cm^3$$

So, volume of empty space in the box = $$2500\pi\ -\dfrac{5000}{3}\pi=\dfrac{2500}{3}\ \pi$$ $$cm^3$$

So, the correct answer is option A.

Statement I: The ratio of the circumference of two circles is 3:4

So, ratio of their radius = 3:4

Now, ratio of their area will be equal to square of the ratio of their radius = $$3^2:4^2=9:16$$

So, statement I is true.

Statement II: The circumference and the area of a circle are numerically equal

or, $$2\pi\ r=\pi\ r^2$$

or, $$r=2$$ units

So, diameter = $$2r=2\times\ 2=4$$ units

So, statement II is true.

So, both statement I and statement II are true.

So, correct answer is option A.

Given,

A.) $$4a=5b$$

or, $$\dfrac{a}{b}=\dfrac{5}{4}=\dfrac{45}{36}$$

$$7b=9c$$

or, $$\dfrac{b}{c}=\dfrac{9}{7}=\dfrac{36}{28}$$

So, $$a:b:c=45:36:28$$

So, option (II) is the correct answer for (A).

B.) $$A=\dfrac{1}{4}B$$ and $$B=\dfrac{1}{2}C$$

or, $$\dfrac{A}{B}=\dfrac{1}{4}$$ and $$\dfrac{B}{C}=\dfrac{1}{2}=\dfrac{4}{8}$$

So, $$A:B:C$$ is equal to $$1:4:8$$

So, option (III) is the correct answer for (B).

C.) $$P:Q:R=2:3:4$$

So, $$P:Q=2:3$$, $$Q:R=3:4$$, $$R:P=4:2$$

So, $$\dfrac{P}{Q}:\dfrac{Q}{R}:\dfrac{R}{P}=\dfrac{2}{3}:\dfrac{3}{4}:\dfrac{4}{2}=8:9:24$$

So, option (IV) is the correct answer for (C).

So, option (I) has to be the correct answer for (D).

So, option D is the correct answer.

A: $$\sqrt{401} -\sqrt{399}$$ = $$\dfrac{2}{\sqrt{\ 401}+\sqrt{\ 399}}$$

B: $$\sqrt{301} -\sqrt{299}$$ = $$\dfrac{2}{\sqrt{\ 301}+\sqrt{\ 299}}$$

C: $$\sqrt{101} -\sqrt{99}$$ = $$\dfrac{2}{\sqrt{\ 101}+\sqrt{\ 99}}$$

D: $$\sqrt{201} -\sqrt{199}$$ = $$\dfrac{2}{\sqrt{\ 201}+\sqrt{\ 199}}$$

Now, $$\sqrt{\ 401}+\sqrt{\ 399}>\sqrt{\ 301}+\sqrt{\ 299}>\sqrt{\ 201}+\sqrt{\ 199}>\sqrt{\ 101}+\sqrt{\ 99}$$

or, $$\dfrac{2}{\sqrt{\ 401}+\sqrt{\ 399}}<\dfrac{2}{\sqrt{\ 301}+\sqrt{\ 299}}<\dfrac{2}{\sqrt{\ 201}+\sqrt{\ 199}}<\dfrac{2}{\sqrt{\ 101}+\sqrt{\ 99}}$$

So, $$A<B<D<C$$

or, $$C>D>B>A$$

So, option D is the correct answer.

Given, $$ \left(\frac{x^a}{x^b}\right)^{(a^2 + ab + b^2)} \left(\frac{x^b}{x^c}\right)^{(b^2 + bc + c^2)} \left(\frac{x^c}{x^a}\right)^{(c^2 + ca + a^2)}$$

= $$x^{\left(a-b\right)\left(a^2+ab+b^2\right)}\times\ x^{\left(b-c\right)\left(b^2+bc+c^2\right)}\times\ x^{\left(c-a\right)\left(c^2+ac+a^2\right)}$$

= $$x^{a^3-b^3}\times\ x^{b^3-c^3}\times\ x^{c^3-a^3}=x^{a^3-b^3+b^3-c^3+c^3-a^3}=x^0=1$$

So, the correct answer is option C.

A person sold an article for ₹ $$136$$ and incurred 15% loss.

Now, cost price of the article = ₹ $$\dfrac{136}{0.85}=160$$

Now, after selling it for ₹ $$x$$, he would have obtained a profit of 15%.

So, $$x=160\times\ 1.15$$ = ₹ $$184$$

So, option B is the correct answer.

Let the C.P of one mobile phone be $$₹x$$. 

S.P of first mobile phone = ₹18,750

S.P of second mobile phone = ₹14,250

Let the loss percent, incurred on the second mobile phone be $$p\ \%$$. 

Profit percentage, incurred on the first mobile phone = $$\left(5\times p\%\right)=5p\ \%$$

Now, we will use the profit-and-loss percentage formula. 

For the first mobile phone: 

Profit percentage = $$\dfrac{\left(\text{S.P}\ -\ \text{C.P}\right)}{\text{C.P}}\times100$$

$$5p=\dfrac{\left(₹18,750-₹x\right)}{₹x}\times100$$                                        $$\longrightarrow\ i$$

For the second mobile phone: 

Loss percentage = $$\dfrac{\left(\text{C.P}\ -\ \text{S.P}\right)}{\text{C.P}}\times100$$

$$p=\dfrac{\left(₹x-₹14,250\right)}{₹x}\times100$$                                        $$\longrightarrow\ ii$$

From equations $$i$$ and $$ii$$, we have to find the value of $$x$$.

Divide equation $$i$$ by equation $$ii$$,

$$\dfrac{5p}{p}=\dfrac{\dfrac{\left(₹18,750-₹x\right)}{₹x}\times100}{\dfrac{\left(₹x-₹14,250\right)}{₹x}\times100}$$

$$5=\dfrac{\left(18,750-x\right)}{\left(x-14,250\right)}$$

$$5\left(x-14,250\right)=\left(18,750-x\right)$$

$$5x-\left(5\times14,250\right)=18,750-x$$

$$5x+x=18,750+\left(5\times14,250\right)$$

$$6x=18,750+71,250=90,000$$

$$x=15,000$$

Hence, the C.P of one mobile phone is ₹15,000.

Total S.P = ₹18,750 + ₹14,250 = ₹33,000

Total C.P = $$₹2x$$ = $$₹\left(2\times15,000\right)=₹30,000$$

Overall Profit = Total S.P - Total C.P = ₹33,000 - ₹30,000 = ₹3,000

Overall Profit percentage = $$\dfrac{₹3,000}{₹30,000}\times100=10\%$$

Hence, the overall profit percentage of the transaction is 10%.

$$\therefore$$ The required answer is D.   

The black dot denotes the initial position of the cat, and the path it followed is mapped out. The arrow head indicates the position of the cat before every turn, and the direction of the arrow head is the direction in which the cat is looking at. Finally we see the arrow head is pointing towards North, which means the cat is facing towards NORTH.

The given number is 8314629. Arranging the digits in descending order, the number is 9864321.

We are to find pairs of digits such that the distance between them is same in both the numbers. 

On inspection we find only 4 such pairs, (9,4) , (9,6), (6,4), and (4,2) exist .

Hence, the correct option is FOUR. 

1.  Wrist : Band $$\rightarrow$$ A band is worn on the wrist.

2.  Neck : Tie $$\rightarrow$$ A tie is worn around the neck.
3.  Waist : Belt $$\rightarrow$$ A belt is worn around the waist.
4.  Shoe : Laces $$\rightarrow$$ Laces are used to fasten a shoe, not something worn on a part of the body. 

                            $$\rightarrow$$ Pairs 1, 2, 3 : An item worn on a specific body part.
                                Pair 4 : Laces are not directly worn on a body part.

Therefore, the odd one out would be the Option D. 

In the figure we can analyse individually for each of the four quadrants of a circle.. 

Top right quadrant : Exterior circle has {2, 8} .
                               Interior circle has $$216$$. 
                                            $$\rightarrow$$ $$216=6^3=\left|8-2\right|^3$$

Similarly, for top left quadrant : $$64=4^3=\left|7-3\right|^3$$
Similarly, for bottom left quadrant : $$8=2^3=\left|10-8\right|^3$$

Therefore, we can deduce for bottom right quadrant's interior number has to be $$=\left|5-2\right|^3=27$$. 

As cube is cut into 125 identical smaller cubes, we can say that size of larger cube is $$5\times5\times5$$. 

The cubes which will be having exactly 2 faces painted will be the cubes which lie on edges but not corners of the cube because corner cubes will have 3 faces painted. 

That is for every edge of the cube , out of "$$n$$" cubes there will be "$$n-2$$" cubes (excluding corners) which are painted on 2 faces exactly . So for the entire cube there are 12 edges , so total no of cubes with exactly 2 faces painted $$=12(n-2)$$. 

Therefore, in this case as$$n=5$$, the total no of cubes with exactly 2 faces painted white$$=12\left(5-2\right)=36$$.

Let us look at the options one by one and decide which venn diagram each would be best represented as. 

(A) Flowers, White , Clothes.

Some Flowers are white, but not all Flowers are white. hence there will be intersection but not complete overlap. similarly, some clothes are white but all clothes are not white. Also no clothes are flower, and no flower is clothes, so there will be no overlap. Hence the correct representation will be diagram III.

(B) Furniture, Books, Table.

All table are furniture, but all furniture is not table.  Also, books are not furniture . so it will be separate. Hence , diagram I is the correct representation.

(C) Carrot, Food , Vegetable

All carrots are vegetables , but all vegetables are not carrots. Also, all vegatables are food, but all food is not vegetables .  Hence diagram IV is the correct representation . 

(D) Pocket , Shirt , Collar.

Shirts have pockets and collars. The inverse is not true , also collars and pockets are not directly related, So the correct representation will be diagram II.

Based on this, option (D) A-III, B-I, C-IV, D-II is the correct answer choice .

Assertion (A) : Seeds should be treated with fungicide solution before being sown :
It can be said that Assertion is true because treating seeds with fungicides protects them from fungal infections, which can otherwise damage the seeds or seedlings.

Reason (R): Seeds do not germinate, unless treated with fungicide solution :
It is a false statement because seeds can germinate without fungicide, but the risk of fungal attack is higher.
Fungicide treatment is preventive, not mandatory for germination.

Therefore, Option C : Assertion is true & Reasoning is false.

Argument I is false, as it is a prejudice statement to say that renowned businessman do not commit crime intentionally . And it is also contradictory to approve the special treatment for renowned businessman as everybody is equal before the law. 

Argument II is strong as it supports policy of equality before law. 

Purnima : Lady is the mother of Neha whose father is my son :

Lady in the picture is mother of Neha. 
Neha's father is said to be Purnima's Son. 

Hence, Lady in the picture and Purnima's Son are couple . 

Therefore, Purnima related to Lady as : Mother-in-law. 

It is given that company has recently announced incentives to the employees who are punctual & sincere. 

Assumption I holds true, as it can be said that upon announcing incentives, the employees who used to be frequently late to office gets motivated . 

Assumption II is also true because upon announcing incentives to sincere employees, the rest of the employees might change their behaviour and be more sincere towards work, which might ultimately increase the productivity as well. And Assumption II said "may increase" , which can be termed as true statement. 

We want teachers (elements that are part of the circle), but those who are not Doctors (part of the triangle), and not filmmakers (part of the rectangle). 

2, 5, 7, and 3 are part of the circle, and hence are the teachers. 

7 is a teacher and a doctor, and hence should not be considered. 

3 is a teacher and a filmmaker, and would also be eliminated. 

Leaving only 2 and 5 that satisfy our condition. 

Therefore, Option D is the correct answer. 

Human development progresses through a series of stages in the following order:

infancy → childhood → puberty → adolescence → adulthood. 

Therefore, the order is {D, C, A, E, B} . 

Opening up the dice with the given information we get the following figure. 

The missing value must be 6. 

On closing the dice, we would see that 2, 1 and 5 are adjacent to 3, leaving 6 to be the one opposite to 3. 

Therefore, Option D is the correct answer. 

A clock is set right at 11 am. The clock gains 12 minutes in a day. 

Clock gaining 12 mins a day implies it is gaining 0.5 minutes for every 1 hour. 
                                        $$\rightarrow$$ Clock gains $$\dfrac{\ 0.5}{60}$$ hours per every hour. 

After 24 hrs, the time in the clock would be 11:12 am the next day. After this time, lets assume "t" hours it takes to show 5pm : 

                                    $$\rightarrow$$ $$11:12+t+\dfrac{\ 0.5\left(t\right)}{60}=17:00$$

                                                    $$t\left(1+\dfrac{\ 1}{120}\right)=5\ hr\ 48\ \min=5.8\ hr$$

                                    $$\rightarrow$$ $$t=\dfrac{\ 5.8}{1+0.0083}=5.752\ hrs$$

Therefore, the correct time should have been = 11:00 am + 5.752 hours = 16:45 hrs. 
Hence, the answer is 45 mins past 4 pm . 

{L, M, N, O, P, Q, R} are sitting around a circular table facing the centre of table. 
"O" is sitting between L and R . 

Case I :

But, now it is also given that Q is the second to the right of R. Hence, that won't be possible in this case because already L is second to the right of R. 
Therefore, this case is eliminated. 

Case II : 

Now it is given that Q is second to the right of R.
And P is second to the right of Q. 

So, the further arrangement goes as :

Now it is also mentioned that "N is not an immediate neighbour of R". So the only possible position for N is in between P & Q. 
Hence, the unoccupied place adjacent to R belongs to M . 

Statement A : P sits to the opposite of N. 
          $$\rightarrow$$ Its false statement because P is sitting adjacent to N. 

Statement B : L sits exactly between O and P.
          $$\rightarrow$$ Its true statement as shown in final arrangement.

Statement C: M is third to the left of N.
          $$\rightarrow$$ Its false statement because M is second to the left of N.

Statement D : R is second to the right of L.
         $$\rightarrow$$ Its true statement as shown in final arrangement. 

Therefore, the answer is B and D are correct. 

Anaemia : Blood $$\rightarrow$$ Anaemia is a disorder/condition of the blood.

Anarchy is situation of lack of order or government . It is a condition of the state or government. 

Hence, correct analogy would be : Anaemia : Blood : : Anarchy : State/Government.

Therefore, among the given options Government is the appropriate answer.  

Option D is the odd one out because it uses the present perfect continuous tense ("have been residing"), while the other sentences use the past perfect continuous tense ("had been...")

Option C is the correct answer.

This uses proper indirect speech structure with correct tense agreement and verb usage. "Told" is followed by a person and a reported clause, and the past tense "was" matches the reporting verb.

The other options either misuse "said to," mix tenses incorrectly, or lack proper structure and punctuation. "Said to" requires a direct quote or needs to be rewritten with a reporting clause using "that".

Option C is the correct answer.

In English, the preposition "to" is used with "known" when indicating that someone is recognized or familiar to a person or group. The correct construction is "is known to us," meaning Mr. Jackson is familiar or recognized by us.

Option A: 'By' is used with "known" in passive constructions to indicate the agent (e.g., "He is known by his friends for his kindness"). However, here, "us" is not the agent performing the knowing but the group to whom Mr. Jackson is familiar, so "by" is incorrect.

Option B: 'With' cannot beused with "known" in this context. "With" might indicate association or accompaniment (e.g., "He is popular with students"), but it doesn’t fit the structure of "is known" for familiarity.

Option D: 'On' cannot be used with "known" in this context. "On" is typically used for topics or reliance (e.g., "known on the topic"), not for indicating familiarity to a group.

The underlined phrase "in the soup" is an idiomatic expression meaning to be in a difficult or troublesome situation. In the sentence,the context of a raid suggests the officer faced problems or consequences.

Among the options:

Sleeping and collecting money do not convey a problematic situation.

Angry suggests an emotion, not necessarily trouble.

In trouble directly aligns with the meaning of being in a difficult or problematic situation implied by "in the soup." Therefore, Option B is the correct answer.

Option D is the correct answer.

Option D uses the correct grammatical structures to form the sentence.

Option A: This is not correct because the verb "waiting" requires the preposition "for" when followed by an object like "you." The correct form would be "I have been waiting for you for an hour."

Option B and Option C: Both are incorrect because the article "a" should be "an" before a word starting with a vowel sound, like "hour" . The correct form would be "I have been awaiting you for an hour." 

To convert the active voice sentence into the passive voice, we need to change the object of the active sentence ("me") to the subject of the passive sentence ("I"). The verb "interest" should be changed into a passive form. Since the original verb is "does not interest" (present simple, negative), the passive form uses "am not interested" (present simple passive, negative).

The subject of the given sentence ("your story") becomes the agent in the passive sentence, typically introduced by a preposition. The verb "interest" in English, when used in the passive, is followed by the preposition "in" to indicate what causes the interest.

Thus, the correct passive form is: "I am not interested in your story." [Option B]

Option A:  The preposition "by" is typically used in passive constructions to indicate the agent performing the action (e.g., "The book was written by the author"). Using "by" is incorrect here.

Option C: The preposition "at" cannot be used with the verb "interested" in this context. "At" might be used with other verbs (e.g., "look at"), but it is grammatically incorrect here.

Option D: The preposition "to" cannot be used with "interested" in this context. Additionally, if "to" were used as a preposition, it should be followed by a verb; Eg: "interested to hear your story" . 

In the passage, "unwariness" means a lack of caution or carelessness by humans, potentially causing a global catastrophe. Among the options:

Heedfulness, Vigilance, and Alertness imply caution or awareness, which are opposites of "unwariness."

Dereliction means neglect or failure to fulfill duties, closely aligning with the careless inattention implied by "unwariness." Therefore, Option B is the correct answer.

In the passage, "drastically" means a significant or extreme change in human activities, contributing to environmental harm. Among the options:

Hastily, Abruptly, and Sharply imply quickness or intensity of change, which align with or do not oppose the significant nature of "drastically."

Fractionally means a slight or minimal change, closely aligning with the opposite of the extreme change implied by "drastically."

Thus, Option Cis the near opposite in meaning.

Option B is the correct answer. It reflects the paragraph's central idea: over the past two centuries, human activities have significantly altered the atmosphere, contributing to global warming.

Option A is incorrect, as it contradicts the passage’s main claim: while some may think warming is natural, scientists now believe human activity is the cause.

Option C has a subtle distortion. The paragraph warns that the unwariness of humans may lead to harm—not necessarily the activities themselves. This option shifts the emphasis away from the intended idea, which focuses on negligence or lack of caution, not direct causation by activity.

Option D: While industrial pollution is given as an example of harmful human activity, the passage does not say that pollution has drastically increased. It says human activities have changed drastically, which is a broader and more general statement.

Option A is the correct answer.

A. An embarrassing mistake → I. A Faux pas
A faux pas is a social blunder or mistake, especially one that is embarrassing.

B. Like a weak old woman → II. Anile
Anile means resembling a doddering old woman.

C. Song in praise of God → III. Hymn
A hymn is a religious song or poem of praise to God.

D. Murder of wife → IV. Uxoricide
Uxoricide means the act of killing one's wife.

If we observe the sentences, sentence D would be an introduction because it talks about Mirabai receiving an already established tradition. It sets the stage by hinting that something came before her.

[If we choose sentence C as an introduction, the phrase "in the same tradition" will lack context.]

Sentence A follows D in both options. Sentence A gives the origin story of the tradition Mirabai inherited.

Sentences A-B-C forms a block. After Jayadeva started the tradition, other poets built on his work. Sentence B talks about these "later poets" who followed Jayadeva’s style, so it logically comes after A. It shows how the tradition grew. Sentence C, then talks about how this tradition is still alive today, making it the perfect conclusion.

If we observe the sentences, DABC also has a chronological flow from 13th century, then a later period and then to the present.

Therefore, DABC forms a coherent paragraph, making Option C the correct answer.

A simple sentence, by definition, is a sentence that contains one independent clause, meaning it has a single subject and a single predicate and expresses a complete thought. Hence, the reason (R) given that defines what a simple sentence is is incorrect. 

The assertion(A) given is, however, true; The sentence: "Without saying a word, Ashraf ran away from home, in great haste," is an example of a simple sentence. The phrase “Without saying a word” is a prepositional phrase functioning as an adverbial phrase, not a clause, as it has no finite verb.

[ A clause must have a subject and a finite verb. Here , "without saying a word" is a phrase because (i) there is no subject , and (ii) "saying" is a present participle, which does not show tense, making it non-finite. It functions as a prepositional phrase, where the preposition “without” governs a non-finite (gerund) phrase “saying a word.” ]

Hence,(A) is true, but (R) is false. The correct choice is Option C. 

In the given set of sentences, only A and B are grammatically correct.

Sentence C has a tense mismatch. Here, "walk" is in the present tense, whereas "bought" is in the past tense.

Sentence D: "We" is a plural pronoun, which should be followed by "enjoy" and not "enjoys".

The phrase "at his wits' end" means being completely puzzled or not knowing what to do.

Among the given options, only option A is the exact opposite of this.

Option B is similar in meaning to the given phrase. Option C is unrelated. Option D mentions "confidently," which is not the opposite of being puzzled or confused.

I. Emphatic Pronoun: An emphatic pronoun is used to lay stress or emphasis on the subject of the sentence. It uses words like himself, yourself, themselves for emphasis. Sentence C has an emphatic pronoun → C. He himself said so. ("himself" is emphasizing he.)

II. Distributive Pronoun : A distributive pronoun refers to members of a group individually rather than collectively. Words like each, either, neither are distributive pronouns. Sentence D has a distributive pronoun → D. Each of the boys gets a prize.("Each" treats the boys individually.)

III. Reflexive Pronoun: A reflexive pronoun is used when the subject and the object of the verb are the same person. Reflexive pronouns include myself, yourself, himself, etc. Sentence A has a reflexive pronoun → A. I hurt myself. ("Myself" refers back to the subject I.)

IV. Demonstrative Pronoun:  A demonstrative pronoun is used to point to specific things. Examples include this, that, these, and those. Sentence B has a demonstrative pronoun → B. This book is mine.

Therefore, the correct answer is Option C) A-III , B-IV, C-I, D-II

Option A is the correct answer. Both Statement I and Statement II are true

Statement I is true. Attributive use means the adjective comes directly before the noun it describes.
Example: The red ball. (Here, "red" directly qualifies "ball.")

Statement II is also true. Predicative use happens when the adjective comes after a linking verb like "is, seems, looks," and describes the subject indirectly.
Example: The ball is red. ("red" describes "ball" through the linking verb "is.")

If we observe the sentences,

C-B and A-D-E form a pair and a block of sentences, respectively.

Sentence C-B forms: "Blissfully unaware of the tragic events in Ayodhya,"

Sentence A-D-E forms: "Sita and Ram walk through the forest with great gaiety."

The pair C-B would be the introductory part. Starting with "Blissfully unaware of the tragic events in Ayodhya," (C, B) creates a dependent clause that sets the context, followed by the main clause "Sita and Ram walk through the forest with great gaiety" (A, D, E). The comma in sentence B separates the introductory clause from the main clause, providing grammatical flow.

If we check the other possibility, ADECB is also meaningful, but the placement of the comma in sentence B ("the tragic events in Ayodhya ,") creates a problem. The trailing comma in B makes it less grammatically correct in this arrangement.

Therefore, Option a) C, B, A, D, E is the correct sequence.

A complex sentence has a main clause that can stand alone and a subordinate (dependent) clause that cannot stand alone and is connected to the main clause, often introduced by subordinating conjunctions (e.g., "that," "whether," "why") or relative pronouns.

Option A: The clause "That Shankar is clever" is a noun clause acting as the subject of the sentence (dependent clause), and "is certain" is the main clause (independent) . This is a complex sentence because it has a dependent noun clause and an independent clause.

Option B: This is a complex sentence. "I do not know" is the main clause (independent clause), and "whether the principal is in the office" is a noun clause (which is dependent) acting as the object of the verb "know." 

Option C: This is a single clause with a compound predicate ("is not only kind but also devoted"). The phrase "not only kind but also devoted" is coordinated by the correlative conjunctions "not only...but also." This is not a complex sentence.

Option D: The main clause is "Can you tell me the reason," (independent) and "why Mukti never smiles" is a relative clause modifying "the reason." This is a complex sentence because it has an independent clause and a dependent relative clause.

Therefore, the sentences that are complex are A, B, and D.

The speaker in the given excerpt is a first-person speaker.

The given excerpt uses pronouns like "I" and "me" which are characteristic of the first-person point of view. This indicates that the speaker is referring to themselves, narrating their own thoughts, actions, and beliefs.

Option B: Second person would use "you," addressing the reader or another person directly, which is not present here.

Option C: Third person would use "he," "she," "they," or names to describe someone else, which is also not present.

Option D: The consistent use of "I" makes the first-person perspective of the speaker clear. Therefore, this option is not correct.

Option D is the correct answer.

Option A: This could be inferred from the excerpt. The speaker mentions "the enemy's movements" and "tactics," which are terms commonly associated with warfare. The reference to being saved from "the clutches of defeat" suggests involvement in battles or conflicts, typical of a warrior.

Option B: This is correct. The speaker expresses trust in "Jagdamba," a deity , stating that she "has always helped me" and affirming, "I will not lose my faith in her." These statements indicate a strong religious belief.

Option C: This is correct.  The speaker says, "I am trying to observe the enemy's movements but have not been able to understand their tactics." This indicates a failure to comprehend the enemy's plans or strategies.

Option D: This statement is incorrect, as the speaker affirms their unwavering faith in Jagdamba, contradicting the claim that their faith has wavered.

A. Finance Commission is a constitutional body, constituted by the President under Article 280 of the Constitution. This is CORRECT. It is a constitutional body established under Article 280 of the Indian Constitution. The President of India is mandated to constitute a Finance Commission every five years or at such earlier time as he considers necessary. 

B. The First Finance Commission was constituted under the chairmanship of K.C. Niyogi. This is CORRECT. It was formed in 1951, and its chairman was K.C. Niyogi. This commission set the precedent for the transfer of resources from the Union to the States. 

C. The 15th Finance Commission for the period 2020-25 was constituted with N.K. Singh as chairman. This is CORRECT. It was formed in 2017 to make recommendations for the period 2020-2021 and subsequently in 2021-2026, with N.K. Singh as chairman. 

D. The R Chelliah Committee was constituted in 1994 to suggest reforms in the banking system. This is NOT CORRECT. It was formed in 1991 to suggest reforms in India's tax structure (direct and indirect taxes), not the banking system. 

A. The Earth is $$22.5^{\circ}$$ tilted on its axis. This is NOT CORRECT. The Earth's axis is actually tilted at approximately $$23.5^{\circ}$$, which is responsible for the occurrence of seasons on Earth.

B. It takes 23 hours, 56 minutes and 4.091 seconds to rotate on its axis. This is CORRECT. This period of 23 hours, 56 minutes, and 4.091 seconds is the exact time it takes for the Earth to complete one full rotation on its axis relative to distant stars.

C. It takes 365 days, 5 hours and 48 minutes to revolve around the sun. This is CORRECT. This duration of 365 days, 5 hours, and 48 minutes is the time the Earth takes to complete one revolution around the Sun. This extra time is accounted for by adding an extra day every four years, creating a leap year.

D. The Earth is also known as the Blue Planet. This is CORRECT. The Earth is commonly referred to as the Blue Planet because approximately 71% of its surface is covered by water. From space, the abundance of oceans gives the planet a predominantly blue appearance.

The Imperial I and II, a twin-tower residential skyscraper complex, is located in Mumbai, Maharashtra. The buildings are situated in the Tardeo area of South Mumbai and were, for a period, considered the tallest completed buildings in India upon their completion in 2010.

The Indian parliament passed the Citizenship (Amendment) Bill on December 11, 2019. This bill, which amended the Citizenship Act of 1955, was later enacted as the Citizenship (Amendment) Act, 2019, and was officially notified on January 10, 2020.

The Crown Representative's Police is the old name for the Central Reserve Police Force (CRPF). It was established on July 27, 1939, under its original name and was renamed the Central Reserve Police Force after the CRPF Act was passed in 1949.

The Pulitzer Prizes are 23 annual awards given by Columbia University in New York City for achievements in the US in "journalism, arts and letters". It is established by the will of Joseph Pulitzer, who made his fortune as newspaper publisher. 

These prizes are awarded in multiple categories including literature, music & public service as well including journalism.

So technically, all options are fields in which the Pulitzer Prize is awarded, but if the question expects the most common association, the answer is Journalism , because Pulitzer will was to launch a journalism school. 

A. Chief Election Commissioner -> (IV) Rajiv Kumar

Rajiv Kumar is the current Chief Election Commissioner of India, a post central to conducting free and fair elections. He heads the Election Commission of India, which is responsible for administering the electoral process.

B. Chief Justice of India -> (I) Sanjeev Khanna

Sanjeev Khanna is the current Chief Justice of India (CJI), being the head of the judiciary and the Supreme Court of India. The CJI is the highest judicial authority in the country.

C. RBI Governor -> (III) Sanjay Malhotra

Sanjay Malhotra is the current Governor of the Reserve Bank of India (RBI), having taken charge on December 11, 2024. Before this appointment, he was serving as the Revenue Secretary of India.

D. Chairman of Upper House -> (II) Jagdeep Dhankhar

The Chairman of the Upper House (Rajya Sabha) is, by convention, the Vice President of India, currently Jagdeep Dhankhar. He presides over the proceedings of the Rajya Sabha, maintaining order and decorum at all times.

A. Speedy increase in the field of milk production is called white revolution. This is CORRECT. The White Revolution is the name given to the spectacular and rapid rise in India's milk production, which successfully transformed the country into the world's largest milk producer. It is a key agricultural achievement following the Green Revolution.

B. To increase the pace of the white revolution, Operation Flood was started. This is CORRECT. Operation Flood was the specific program launched in 1970 by the NDDB to drive the White Revolution. It aimed to establish a nationwide milk grid and empower farmers through cooperative societies.

C. The father of Operation Flood was Dr Verghese Kurien. This is CORRECT. Dr Verghese Kurien is recognised as the "Father of the White Revolution" and the chief architect of Operation Flood. He developed the highly successful Anand Pattern co-operative model, famously used by Amul.

D. The Operation Flood was started by the National Dairy Research Institute in 1975. This is NOT CORRECT, because Operation Flood was launched in 1970 (not 1975) and was started by the National Dairy Development Board (NDDB), not the National Dairy Research Institute (NDRI). 

Thus, (A), (B), and (C) are the CORRECT statements. 

(A) Abhinav Bharat -> (IV) V.D. Savarkar 

This was a secret revolutionary society established by Vinayak Damodar Savarkar in 1904 to fight for India's independence through armed struggle and political mobilisation.

(B) Gadar Party -> (III) Lala Hardyal 

The Gadar Party was a revolutionary international organisation founded primarily by Lala Hardyal in 1913 in the United States to overthrow British rule in India.

(C) Indian National Congress -> (II) Allan Octavian Hume

The INC, India's oldest political party, was founded in 1885 by A.O. Hume, a retired British civil servant, to create a platform for political dialogue.

(D) Bharat Naujawan Sabha -> (I) Bhagat Singh

This radical youth organisation was founded by Bhagat Singh in 1926 to mobilise the youth for revolutionary activities and the establishment of an independent republic.

The Maharashtra Legislative Assembly has 288 seats, with a majority mark of 145 . 

1. In the 2024 elections, BJP alone won 132 seats, which is less than the majority. 
2. The Maha Yuti alliance (BJP - 132 + Shiv Sena - 57 + NCP - 41) won a total of 230 seats, forming the government.

Assertion : There is a coalition government in the State of Maharashtra in India. 
        $$\rightarrow$$ Assertion is true as government is formed by Maha Yuti Alliance. 

Reason : The Reason that no single party could secure a majority is also true because BJP alone did not get a majority.
        $$\rightarrow$$ (R) is also true. 

But R is not the correct explanation for A , because : 
1.  The coalition (Maha Yuti) was formed as a pre-poll alliance.
2.  The coalition government exists because parties decided to contest and govern together, not because BJP failed to get a majority.

Therefore, the most appropriate answer is : Both (A) and (R) are true but (R) is not the correct explanation of (A). 
Hence, Option B is the answer. 

A. Vishwa Bharati was founded by Rabindranath Tagore
Correct. Rabindranath Tagore founded Visva-Bharati University in 1921 at Santiniketan, West Bengal, as a center for blending Indian and Western educational traditions.

B. 

C. The Golden Temple was founded by Guru Gobind Singh. This is NOT CORRECT. It was established by Guru Ram Das in 1577, the fourth Sikh Guru, and later completed by Guru Arjan Dev.

D. Khalsa Panth was founded by Guru Arjan Dev. This is NOT CORRECT. The Khalsa Panth was founded by Guru Gobind Singh in 1699 to establish a community of disciplined and saint-soldier Sikhs.

A. Bharatanatyam is a famous Tamil Nadu dance. This is CORRECT. Bharatanatyam is recognised as one of India's oldest and most important classical dance forms, deeply rooted in the traditions and temples of Tamil Nadu. 

B. Rukmini Devi is a famous Bharatanatyam artist. This is CORRECT. Rukmini Devi Arundale was a pivotal figure in the 20th century who championed the revival and purification of Bharatanatyam, transforming it into a widely respected classical stage art. 

C. Kathakali is a famous dance of Andhra Pradesh. This is NOT CORRECT. Kathakali is the elaborate classical dance-drama form that originated in the state of Kerala. The correct classical dance of Andhra Pradesh is Kuchipudi.

D. Birju Maharaj is associated with Kathakali as an artist. This is NOT CORRECT. Pandit Birju Maharaj was a globally celebrated master and leading exponent of the North Indian classical dance form, Kathak. He was not associated with Kathakali, which is a dance from Kerala.

E. The theme of Mohiniyattam dance is love and devotion to God. This is CORRECT. Mohiniyattam, the graceful classical dance of Kerala, focuses on the Lasya (feminine) style, with its core thematic elements being Sringara (love) and Bhakti (devotion). 

Thus, (A), (B), and (E) are CORRECT. 

A. Committee on the functions of the Constituent Assembly -> (II) G.V. Mavalankar 

G.V. Mavalankar was the Chairman of this committee, which dealt with the legislative functions of the Constituent Assembly once the constitution-making work was finished.

B. House Committee -> (I) Pattabhi Sitaramayya

Pattabhi Sitaramayya chaired the House Committee, which was responsible for matters related to staff and accommodation for the Constituent Assembly delegates.

C. Committee on the rules of procedure -> (IV) Dr Rajendra Prasad

Dr Rajendra Prasad, who was also the President of the Assembly, chaired this committee, which formulated the procedural rules for the Assembly's functioning.

D. Drafting Committee -> (III) Dr B.R. Ambedkar

The Drafting Committee was the most critical committee, tasked with preparing the final draft of the Constitution of India, with Dr B.R. Ambedkar serving as its Chairman.

The famous "I Have a Dream" speech is associated with civil rights activist Martin Luther King Jr., who delivered it on August 28, 1963, during the March on Washington for Jobs and Freedom. The speech is famous for calling for an end to racism and for civil and economic rights for African Americans. 

A. Canara Bank - Mumbai. This is NOT CORRECT. Canara Bank, one of the largest public sector banks in India, is headquartered in Bengaluru (Bangalore), Karnataka.

B. Federal Bank - Kochi. This is CORRECT. Federal Bank is a central Indian private-sector commercial bank whose headquarters are in Aluva, in the Kochi metropolitan area of Kerala.

C. IndusInd Bank - Mumbai. This is CORRECT. IndusInd Bank, a private sector bank, maintains its corporate and registered headquarters in Mumbai, Maharashtra, the financial capital of India.

D. Punjab and Sind Bank - Chandigarh. This is NOT CORRECT. Punjab and Sind Bank, a government-owned bank, is headquartered in New Delhi, not Chandigarh.

E. Punjab National Bank - New Delhi. This is CORRECT. Punjab National Bank (PNB) is a large public sector bank with its corporate headquarters in New Delhi.  

Thus, (B), (C), and (E) are CORRECT. 

The founder of the Bhoodan movement was Vinoba Bhave, a disciple of Mahatma Gandhi. He started the non-violent, voluntary land reform movement in April 1951 in the village of Pochampally, Telangana, by persuading wealthy landowners to donate land to the landless. 

A. Volleyball -> (III) Hook Serve 

The Hook serve (or 'Roundhouse serve') is a serving technique specific to volleyball, where the player swings their arm sideways over their head to impart spin. The goal is to make the serve difficult for the opposing team to return.

B. Table Tennis -> (II) Service court 

The Service court is a crucial element in Table Tennis, used to dictate the direction of the serve in doubles play. A legal serve must land first on the server's half of the table, then diagonally on the receiver's court.

C. Basketball -> (I) Ring 

The Ring (or basket/hoop) is the primary target in basketball, where points are scored by shooting the ball through the elevated metal rim. The entire assembly, including the net, is often referred to as the basket.

D. Badminton -> (IV) Half court 

The half-court refers to the diagonal boundaries of the service area in Badminton. It is critical for determining a legal serve in singles play and the first serve in a doubles game.

The first Chief Election Commissioner of India was Sukumar Sen, who served from March 21, 1950, to December 19, 1958. During his tenure, he oversaw India's first two general elections in 1951-52 and 1957. 

A. Gol Gumbaz -> (II) Bijapur 

The Gol Gumbaz is the tomb of Muhammad Adil Shah and is known for having the world's second-largest unsupported dome. It is located in Bijapur (now Vijayapura), Karnataka.

B. Nishat Bagh -> (III) Srinagar 

Nishat Bagh, which translates to 'Garden of Joy', is a famous Mughal garden situated on the eastern side of Dal Lake in Srinagar, Jammu and Kashmir. It is the second-largest Mughal garden in the region.

C. Golden Temple -> (I) Amritsar 

The Golden Temple, formally known as Sri Harmandir Sahib, is the holiest shrine of Sikhism. It is located in the city of Amritsar, Punjab.

D. Anand Bhawan -> (IV) Allahabad 

The Anand Bhawan is a historic house museum in Allahabad (now Prayagraj), Uttar Pradesh. It was the ancestral home of the Nehru family and is now a museum.

The inaugural post office in India was established by the British East India Company in Kolkata (then Calcutta) in 1727, though it was initially restricted to official correspondence. The General Post Office (GPO), which began serving the general public, was opened in Kolkata a few years later, in 1774.

A patent is a type of intellectual property that gives its owner the legal right to exclude others from making, using, or selling an invention for a limited period in exchange for publishing an enabling disclosure of the invention. Bootstrapping is where entrepreneurs start companies with minimal capital, using personal finances or operating revenues instead of external investments. Crowdfunding is funding a project or venture by raising money from many people, typically via the internet. In business, pivoting is a term that describes the process of changing direction when the current strategy is not delivering the desired results.

Based on the summary provided above, the most suitable sequence of pairs is provided in option B.

The primary reason a startup is pitched to investors is to raise funding from them and secure further growth. Sentence A captures this and is correct. Sentence B is also correct; both innovation and adaptability are characteristics of an entrepreneurial mindset. Sentence C is incorrect; a non-profit organisation does not qualify as a startup. Sentence D states a fact: Neeti Aaayog was indeed known as the Planning Commission. Sentence E also states a fact: Dr Manmohan Singh was a Governor of the RBI and had passed away recently.

Sentences A, B, D, and E are true, and option C is the correct answer.

Ideation refers to the process of developing and conveying prescriptive ideas to others, typically in a business setting. It describes the sequence of thoughts, from the original concept to implementation. Pivoting is the action that a business or a startup takes to find a new footing in a changing business landscape, and it cannot be a process a startup goes through in its initial days. Scaling is essentially growing your revenue without significantly affecting costs. This cannot be a process that takes place during the early days of a startup. Bootstrapping is where entrepreneurs start companies with minimal capital, using personal finances or operating revenues instead of external investments. Still, since this might not apply to all startups, the best answer is option A, ideation.

Option A presents a fact. Dr Manmohan Singh served as the Finance Minister in the Union Government from 1991 to 1996. Option B also presents a fact. Dr Manmohan Singh served as the Governor of the Reserve Bank of India from 1982 to 1985. He also became the UGC chairman in 1991. Therefore, option C is also true. Dr. Manmohan Singh became Prime Minister as a member of the Rajya Sabha (the upper house), not the Lok Sabha (the lower house). He was elected to the Lok Sabha in 1999 but lost that election, while he was elected to the Rajya Sabha multiple times and served there when he became Prime Minister in 2004. Option D is the only false statement, and it is the correct answer.

A feasibility study includes an assessment of market, technical, financial, operational, and legal factors to determine a project's viability. Key components include market analysis, technical evaluation, cost-benefit analysis, and risk assessment, which provide a comprehensive report on the project's potential success. A, C, D, and E directly follow from this. B presents corporate leadership analysis, which is primarily irrelevant. 

The correct answer is option A:  A, C, D, and E only.

An innovator is a person who develops a new design, product, or idea, or who has new ideas about how to do something. A laggard is someone who takes more time than necessary or someone who lags behind. The early majority is the first sizable segment of a population to adopt a new or innovative technology. In contrast, the early adopters are persons or businesses that acquire a new product or technology before others.

Based on the summary provided above, the most suitable pairs are provided in option C, which is the correct answer.

Scaling a business means increasing revenue significantly faster than costs. This is achieved through developing sustainable processes and systems that handle more demand efficiently. Assertion (A) is true in that it accurately defines 'scaling a business'.

A niche market is a small, specialised market for a particular product or service. The reason (R) is also true as it captures the meaning of a niche market. But (R) fails to explain (A). The existence of niche markets does not account for why scaling a business necessarily means business expansion. The correct answer is option B, while both the assertion (A) and the reason (B) are valid statements, (R) is not a correct explanation of (A).

A pitch deck is a concise presentation that businesses and startups use to give a high-level overview of their company to potential investors, partners, or clients. This is best captured in option B, which is the correct answer.

In a given situation, a manufacturing plant might indeed host a business incubator. Statement A's validity can be held for a while. Statement B is false; entrepreneurship is for people willing to take risks and accept that incomes may not be stable. Statement C is true; the very definition of a business incubator describes it as a workspace that offers resources and support to new startups. Statement D is false; whether or not a person can be an entrepreneur is independent of their age, caste, gender, or social stature. Option E, following the same reasoning as D, is also false. 

The statement C is true, while the statement A might be true. Statements B, D, and E are all false. Option D is the correct answer.

Statement I can be said to be true: Innovation is about finding creative solutions to commonplace problems or problems that traditional solutions solve only inefficiently. Innovation is indeed the creation or adoption of new ideas, products, services, programs, technology, policy, structure, or administrative systems. 

Statement II is false: Adopting innovation is not a blind endeavour in business settings; it requires thorough analysis of requirements and feasibility. 

The correct answer, therefore, should be option C. Statement I is true, but statement II is false.

One of the essential characteristics of an entrepreneur is an acceptance of risk and a willingness to take risks in the capital landscape. (A) is wrong as it goes against the risk-taking mindset. All other characteristics provided in the question are, in one way or another, essential aspects of being an entrepreneur. Since B, C, D, and E follow, the correct answer is option D.

In business, pivoting is a strategic change in a company's direction, product, or business model in response to market conditions, customer needs, or other external factors. Statement I describes pivoting correctly and is true. Statement II describes a mechanism by which a business actualises pivoting, saying that it is 'essential' that a business change the target market while pivoting, which is wrong. While changing the target market can be one of the things that an organisation does while pivoting, it need not be essential or compulsory. Statement II is wrong. The correct answer is option C.

Scalability is the ability of an organisation or a company to handle a growing amount of work or demand without sacrificing performance, quality, or efficiency. A value proposition is a clear statement that explains the specific measurable benefits a customer receives from a company's product or service. Lean startup is a methodology for developing businesses and products that aims to shorten product development cycles and rapidly discover if a proposed business model is viable. A minimum viable product (MVP) is the most basic version of a product that a company can release to early customers to gather feedback and validate its core idea.

Based on the summary provided above, the most suitable list of pairs is provided in option D, which is the correct answer.

A venture capitalist (VC) (can be me or you) can be described as an investor who provides capital to early-stage, high-growth potential companies (can be you or me, but not me myself or you yourself) in exchange for equity or ownership. Both 2 (your idea and my money) and 4 (my idea and your money) directly follow, and option A is the correct answer.

The assertion (A) provides us with the fact that business accelerators are set up with the primary objective of offering mentorship and resources to speed up the growth of startups. The fact that business accelerators are making investments in the growth of startups hints towards two things being the reasons why the planners would have gone ahead with the accelerators:

1. They believe that the startups need help.
2. They are hopeful that these startups might succeed.

The reason (R) is a reasonable explanation for the two points listed above. It explains that the startups need help because they face difficulties and challenges in their growth stage. It also explains that planners can probabilistically hope for success because 'most' startups face such challenges.

Therefore, reason (R) is the correct explanation for assertion (A) and option A is the correct answer.

A serial entrepreneur is an entrepreneur who invests their time, money, risks, and efforts into multiple ventures. Blue ocean strategy is a business approach in entrepreneurship that focuses on creating new market spaces and demand rather than competing in existing, saturated markets. Open innovation is a business strategy that uses both internal and external ideas, technologies, and resources to accelerate innovation. Unlike the traditional "closed" model, which relies solely on in-house R&D, open innovation involves collaborating with external partners, such as startups, universities, and even customers, to access a broader pool of knowledge and expertise.A profit margin is a financial ratio that measures the percentage of profit a company earns relative to its revenue.

Based on the summary of the meanings discussed above, the most suitable pair matching is provided in Option A, which is the correct answer.