IIFT 2017 Question Paper

Saina did not miss out her chance to qualify for the Sharjah World Super Series Finals on 22nd January 2017 (Date of the News). She lost her chance to qualify by the end of November. Therefore, option C is incorrect and therefore, it is the right answer.

Goa last won Santosh trophy in the year 2009, not 2010. Therefore, option D is the right answer.

Soulmate is a blues rock band from Shillong in Meghalaya. Therefore, option A is the right answer. 

The Statesman is a newspaper founded in 1875. It descended from the paper the friend of India. It is headquartered in Kolkata and is one of the leading dailies in Kolkata. It is published simultaneously from Delhi, Kolkata, Siliguri, and Bhubaneswar. Therefore, option C is the right answer. 

The Hinduja Group was founded by Parmanand Deepchandh Hinduja in the year 1914. It had strong ties with Iran. The Islamic revolution forced the company to move to London. The group has businesses across diverse sectors such as transport (Ashok Leyland), Energy (Ashok Leyland wind energy), Banking (IndusInd) etc. As of 2017, the Hinduja Brothers are among the richest persons in the UK. Therefore, option D is the right answer. 

Shantanu Narayen is the CEO of Adobe systems.
Francisco D' Souza is the CEO of Cognizant. 
Sanjay Mehrotra is the CEO of Micron.
George Kurian is the CEO of NetApp.
Rajeev Suri is the CEO of Nokia.
Sanjay Kumar Jha is the CEO of global foundries. 

Berkshire Hathaway is a financial services company headquartered in Omaha, Nebraska. 
Walgreens Boots Alliance is a health care company headquartered in Deerfield, Illinois. 
Verizon is a telecommunications giant headquartered in New York. 
Amazon is a technology based e-commerce company headquartered in Seattle. 

As we can see, the headquarters of Berkshire Hathaway is not New York. Therefore, option A is the right answer. 

'Growth is life' is the tag line of Reliance industries. 
'Imagination at work' is the tag line of General Electric. 
'High performance. Delivered' is the tag line of Accenture. 
'Because you're worth it' is the tag line of L'oreal. 
Therefore, option D is the right answer. 

Hedging means to offset your ways, that could minimize your losses during volatile periods. So the method to safeguard against losses due to currency fluctuations is popularly known as Hedging.

Hence, the correct answer is Option B

The RCEP is a proposed free trade agreement. It has not been ratified yet. Option A states that RCEP 'is' a free trade agreement. Therefore, option A is the right answer. 

The Make in India initiative, launched by the Prime Minister of India in 2014, aims to promote India as a global manufacturing hub. It does not aim to substitute the imports of India. The intention is to make India a global behemoth in manufacturing like China. Therefore, option C is the right answer. 

Ease of doing Business Index was created by the world bank group. The ranking is done based on 10 parameters. They are 
1. Starting a business
2. Dealing with construction permits
3. Getting electricity
4. Registering property
5. Getting credit
6. Protecting Investors
7. Paying taxes
8. Trading across borders
9. Enforcing contracts
10. Resolving insolvency

As we can see, levels of employment and intellectual property are not considered while determining the rank. Option C is incorrect and hence, option C is the right answer.

The first logo is of Mitsubishi, a Japanese conglomerate.
The second logo is the old logo of Adidas, a sport brand. 
The third logo is of Lufthansa, German airlines.
The fourth logo is of World Bank, a multilateral organization. 
The fifth logo is of Dream Works, a media production house. 

Therefore, option C is the right answer.

Belinda Clarke had the highest individual score in the international women's cricket. She scored 229* against Denmark's women's team in the 1997 world cup. Her record was broken recently by Amelia Kerr of New Zealand who scored 232* against Ireland. Therefore, option A is the right answer.

India is building Chabahar port in Iran to improve the connectivity in Iran and Afghanistan region. Therefore, option A is the correct answer.

Amitabh has endorsed Tata Sky, Everest Masala, and ICICI bank. Amitabh Bachchan has not endorsed Rasna. Therefore, option D is the right answer. 

The first step is to analyze whether the underlined portion is a phrase or clause. The underlined portion does not have any verb. Therefore, the underlined portion is a phrase. The underlined portion explains how the person failed (despite his best efforts). Since the underlined portion acts as an attribute to the verb, the underlined portion is an adverb phrase. Therefore, option B is the right answer. 

The underlined portion acts as the subject of the sentence. Therefore, the underlined portion acts as a noun. No verb is present in the underlined portion. Therefore, the underlined portion is a noun phrase and hence, option C is the right answer. 

The underlined portion contains a verb. Therefore, the underlined portion is a clause. The clause describes the action (the act of asking). Therefore, the underlined portion acts as an adverb. Therefore, the underlined portion is an adverb clause and hence, option D is the right answer. 

The underlined portion does not have any verb. Therefore, the underlined portion is a phrase. The underlined portion acts as the object of the sentence. Therefore, the underlined portion is a noun phrase. 

The underlined portion does not have a verb. Therefore, the underlined portion is a phrase. The phrase describes the virtue. The virtue is a noun. Therefore, the underlined portion acts as an adjective and hence, option A is the right answer.

Here, Turan and Iran are two cities which have been labelled as the land of darkness and the land of light. Hence, we would have commas after stories, the cities in question and the labels.

Remember that all additional information in the sentence has to be within commas - in this case 'written in most passionate terms', 'wherein she laments the misfortune of a gentleman', 'her lover' and 'who was wounded in a duel'

The additional information in the sentence would, of course, feature with commas - 'who afterward became a distinguished statesman and philosopher'. 'Franklin', as the name, would feature within commas. More information is given about the brother too, so there would be a comma after 'brother' as well.

Alternate: A comma is placed after "boy" to separate the introductory phrase.

"Franklin" is set off by commas because the phrase "who afterward became a distinguished statesman and philosopher" is non-essential (extra information).

A comma is placed after "philosopher" to close the non-essential clause.

A comma before "who published a paper in Boston" because it's a non-restrictive clause (additional information about his brother).

'ation' is a suffix used to describe a process. 
Eg) Participation
'Trans' is a prefix which means across. 
Eg) Trans-boundary railway 
'ship' is a suffix used to indicate the position held.
Eg) Ownership
'Ambi' is a prefix which means both
Eg) Ambidextrous
'ose' is a suffix which means full of.
Eg) Verbose
Therefore, option A is the right answer.

Fret and disquietude are synonyms meaning restless. Similarly, inspirit and confidence mean encouraging circumstances.

A coffer is a place where valuables are kept safely, just as a sanctuary provides refuge from danger. 

Something apocryphal cannot be corroborated or substantiated. 

Similarly, something 'esoteric', meaning something which is likely to be understood or enjoyed by only few people with a special knowledge or interest, lacks commonality. 

The scrambled word is 'Hermetic'. Hermit is a term used to describe someone who leads an isolated life. Therefore, option D is the right answer.

The word that has been scrambled is ELUCIDATE. Elucidate means to explain something. Enlighten is the word synonymous to elucidate and hence, option C is the right answer. 

The scrambled word is Piquant. To pique means to increase the interest of someone. 'Piquant' means interesting and hence, option B is the right answer. 

The author is stating that the paintings will be marked to denote the chronological order in the museums. The underlined portion should be replaced by 'marked'. Therefore, option A is the right answer. 

Most of the sentences in the given passage refers to the reader's impression. This can be inferred from the usage of 'you' in the passage. Therefore, option B is the appropriate one.

In the preceding paragraph, the author is describing the work of the restorers. In the paragraph that contains the given sentence, the author is continuing his description of the work of the restorers. The given sentence is irrelevant to the topic of discussion. Therefore, the author should consider deleting the sentence since it strays away from the main topic of the paragraph. Therefore, option C is the right answer. 

The phrase "when looking" is awkward and incomplete in the original sentence. The phrase in Option A, "At first glance" , is a more natural and widely used expression that conveys the idea of an initial impression, which fits the context of the passage.

The other options do not fit the context or make it grammatically correct when replaced.

The word ‘however’ in D shows the contrast between how simple the cleaning is in some cases (as mentioned in the previous sentence), and how it is an involved process with most others.

In the second paragraph, the author says, 'Early adopters are suspicious................This is a hard truth for many entrepreneurs to accept' and hence Option A goes completely against the central idea of the passage.
In the third paragraph, the author says, 'Most entrepreneurs approach............... Every extra feature is a form of waste' we can clearly infer that author wants entrepreneurs to start with a simple idea or product to avoid wastage, learn from user experience and build on it.
Nowhere in the passage, the author has talked about the cost or the quality of the product. In the passage, the author is talking the cost in terms of learning and cycle time and hence option C cannot be inferred and hence, cannot be the central idea of the passage.
In the second paragraph, the author says, 'This is a hard truth for many.............. give it a shot before it's ready'. So if the author says that is a hard truth for entrepreneurs to accept because they think of making world-changing products, then the author clearly thinks that the entrepreneurs should concentrate more on making simple products and add the features afterwards.  Hence, option D cannot be the central idea of the passage.

In the second paragraph, the author says, 'Early adopters are suspicious...............what early adopters demand is a form of wasted resources and time' from this we can clearly infer that the Early adopters want products that are new, incomplete and offer competitive advantage which is what option D states. Option A and B are contradicting this statement and hence cannot be the answer. 
In the second paragraph, the author has talked about offering free trials to customers but it nowhere mentions that free trials with certain number of promised features is what 'Early adopters' want hence option C also cannot be inferred.
Option D is the correct answer.

Nowhere in the passage, the author talks about dangers to the consumer and hence option A or D cannot be the answer.
We cannot infer option B since nowhere in the passage the author talks about achieving perfection in the product.
The passage talks about making incomplete products, and when the author quotes "I know for me, the MVP feels a little dangerous-in a good way-since I have always been such a perfectionist" he is talking about the risks associated with these incomplete products and hence, drawing entrepreneurs out of their comfort zone.  Hence, option C is the correct answer.

In the first paragraph, the author says, 'A minimum viable product (MVP) helps entrepreneur..............the fastest way to get through the Build-Measure-Learn feedback loop with the minimum amount of effort' from this sentence we can infer that the function of MVP is to enable entrepreneurs to continuously improve their product in the fastest time with least amount of time and cost.
Hence, option B is the correct answer.

Rhetoric is the art of effective or persuasive speaking or writing. Therefore, 'Rhetoric features' here should mean any characteristic of a text that helps convince reader of a certain point of view.
Hence, option C is the correct answer.

In the second paragraph, the author says,'What we're basically talking..............to a conclusion, or interpretation, based on those observations' from this we can infer that inductive reasoning with regard to Close Reading is observing the characteristics and features of the text and moving to conclusions.
Hence, option A is the correct answer.

In the third paragraph, the author says, 'But to paraphrase what that........... how can they dig for its deeper meaning?'. From this, we can infer that Paraphrasing leads to a deeper understanding of the text by improving the accuracy and clarity. 
Hence, option B is the correct answer.

In the second paragraph, the author says, 'It's our responsibility......................apply it to the next text they read'. From this, we can infer that according to the author the responsibility that the educators have is to build skills of close reading so that students can by themselves apply the knowledge they have gained through analysis and understanding of one English text to another.
Hence, option B is the correct answer.

In paragraph 2 and 3, the author talks about the actions he took in the year 2008. A person talks about an event only if the event is significant to the discussion and the measures the author took in the year 2008 will be significant only in a very close time frame, i.e. either in the immediate past or the immediate future. Other than option A, no other option seems to agree with the timeline that the author is discussing.
Hence, option A is the most probable answer among the options.

In the first paragraph the author says,'By far the most important lesson I learnt is that the primary focus of a central bank during a crisis has to be on restoring confidence in the markets, and what this requires is swift, bold and decisive action' from this we can conclude that according to the author during crisis the central bank should take swift, bold and decisive action. He then goes on and says,'This is not as obvious as it sounds because central banks are typically given to agonizing over every move they make out of anxiety that failure of their actions to deliver the intended impact will hurt their credibility and their policy effectiveness down the line' and from this we can conclude that even though during crisis the central bank should take swift, bold and decisive action they don't. Which means that the Central banks are deliberate in their approach and respond cautiously to crisis.
Hence, option C is the correct answer.

In the third and fourth paragraphs, the author explains how UK authorities had extended deposit insurance across board to all deposits in the UK banking system and how those policies would have yielded counterproductive results had India adopted those policies. From this, we can conclude that Domestic conditions are typical to every country and applying solutions from other countries creates confusion.
Hence, option C is the correct answer.

In the last paragraph, the author says, 'Finally, an important lesson............ would reassure markets and yield great synergies' from this we can conclude that In times of crisis the government and the regulators have to work on common ground and avoid any conflicts to prevent instability and confusion.
Hence, option D is the correct answer.

In the fourth paragraph, the author says, ' uberanalytics group consisting of more than 100 analysts from such functions as operations, supply chain, sales, consumer research, and marketing. Although most of the analysts are embedded in business operating units, the group is centrally managed.' From this it is clear that uberanalytics is a centralized group that draws upon expertise from multi functional areas within the organization and provides their expertise to all.
Hence, option B is the correct answer.

More fecund the breeding ground for mistakes means the ground is very fertile to make mistakes. Hence, option C is the correct answer.
In option D, inaccuracy is given; instead mistakes would have made a probable answer.
In option B, instead of 'errors' 'more errors' would have made a better answer and the same explanation goes for option A.

In the last line the author says, 'For analytics minded leaders then the challenge boils down to knowing when to run with the numbers and when to run with their guts' . From this it is clear that the leadership challenge for analytics minded leaders is that they should be able to strike a balance between data driven decisions and intuition. Hence, option C is the correct answer.

In the third and fourth paragraph, the author explicitly mentions the difference in approach towards data management that traditional companies have in contrast to analytic competitors.

The following opinion has been presented by the author: "In traditional companies, "business intelligence" is generally managed by departments; number-crunching functions select their own tools, control their own data warehouses, and train their own people...". This points towards a decentralised system utilizing varied databases with higher possibilities of error in data.

The author goes on to add the following: "Analytics competitors, by contrast, field centralized groups to ensure that critical data and other resources are well managed and that different parts of the organization can share data easily, without the impediments of inconsistent formats, definitions, and standards..." This indicates that analytic establishments effectively utilize a multifunctional, coherent approach in handling data, often spearheaded in a unified manner. This has been pointed out in Option (A)

Option (B) and (D) are incorrect and unrelated to the question that has been asked.

The above-mentioned points indicate that Option (A) is the correct answer.

The given information can be translated as follows:

From statement e, we know that Aman is placed neither in L’oreal (as the one placed in L’oreal reads non-fiction, while Aman reads, Historical fiction) nor in ITC. Hence, Aman is placed in Dabur. Aman’s assignment is in Patna or Chennai.

Now it is clear that the one whose assignment is in Mumbai got placement in Hindustan Unilever. From statement d, we know that Sandeep is placed in L’oreal.

From statement g and the above, it can be concluded that the student who likes reading classic fiction and posted in Bhopal is placed in Asian points.

Now it can be concluded that Rohit is placed in Hindustan Unilever and reads mystery fiction. Manish is placed in ITC and reads business and management, and his assignment is in Patna. Thus we get the following arrangement:

The given information can be translated as follows:

From statement e, we know that Aman is placed neither in L’oreal (as the one placed in L’oreal reads non-fiction, while Aman reads, Historical fiction) nor in ITC. Hence, Aman is placed in Dabur. Aman’s assignment is in Patna or Chennai.

Now it is clear that the one whose assignment is in Mumbai got placement in Hindustan Unilever. From statement d, we know that Sandeep is placed in L’oreal.

From statement g and the above, it can be concluded that the student who likes reading classic fiction and posted in Bhopal is placed in Asian points.

Now it can be concluded that Rohit is placed in Hindustan Unilever and reads mystery fiction. Manish is placed in ITC and reads business and management, and his assignment is in Patna. Thus we get the following arrangement:

The given information can be translated as follows:

From statement e, we know that Aman is placed neither in L’oreal (as the one placed in L’oreal reads non-fiction, while Aman reads, Historical fiction) nor in ITC. Hence, Aman is placed in Dabur. Aman’s assignment is in Patna or Chennai.

Now it is clear that the one whose assignment is in Mumbai got placement in Hindustan Unilever. From statement d, we know that Sandeep is placed in L’oreal.

From statement g and the above, it can be concluded that the student who likes reading classic fiction and posted in Bhopal is placed in Asian points.

Now it can be concluded that Rohit is placed in Hindustan Unilever and reads mystery fiction. Manish is placed in ITC and reads business and management, and his assignment is in Patna. Thus we get the following arrangement:

The given information can be translated as follows:

From statement e, we know that Aman is placed neither in L’oreal (as the one placed in L’oreal reads non-fiction, while Aman reads, Historical fiction) nor in ITC. Hence, Aman is placed in Dabur. Aman’s assignment is in Patna or Chennai.

Now it is clear that the one whose assignment is in Mumbai got placement in Hindustan Unilever. From statement d, we know that Sandeep is placed in L’oreal.

From statement g and the above, it can be concluded that the student who likes reading classic fiction and posted in Bhopal is placed in Asian points.

Now it can be concluded that Rohit is placed in Hindustan Unilever and reads mystery fiction. Manish is placed in ITC and reads business and management, and his assignment is in Patna. Thus we get the following arrangement:

The given information can be translated as follows:

From statement e, we know that Aman is placed neither in L’oreal (as the one placed in L’oreal reads non-fiction, while Aman reads, Historical fiction) nor in ITC. Hence, Aman is placed in Dabur. Aman’s assignment is in Patna or Chennai.

Now it is clear that the one whose assignment is in Mumbai got placement in Hindustan Unilever. From statement d, we know that Sandeep is placed in L’oreal.

From statement g and the above, it can be concluded that the student who likes reading classic fiction and posted in Bhopal is placed in Asian points.

Now it can be concluded that Rohit is placed in Hindustan Unilever and reads mystery fiction. Manish is placed in ITC and reads business and management, and his assignment is in Patna. Thus we get the following arrangement:

We know that out of the seven matches 
Goa drew against Kolkata and lost against Chennaiyan and Pune Blasters 
Now to maximize the score of Goa we will assume it won the remaining four matches and hence 
The maximum score will be : 3+3+3+3+1 = 13

Chennaiyan FC won 5 matches- 5*3= 15 points.
Chennaiyan FC drawn 2 matches-2*1=2 points.
Total points for Chennaiyan FC-15+2= 17 points.
FC Pune City-
FC Pune City won against FC Goa and Kerala Blasters. So, they have-3*2=6 points.
FC Pune City lost against Delhi Dynamos and Chennaiyan FC.So for these 2 matches they will get 0 points.
FC Pune City played a draw against Atletico Kolkata.So, they will get 1 point for that match.
Now as we have to find the minimum difference between Chennaiyan FC and FC
Pune City we assume they won there last 2 matches hence giving them
3*2=6 points.
Total Points for FC Pune City-6+1+6=13 points.
Difference-17-13= 4 points.

Only E is to the north-east of the player who is to the left of B, that is D.

Distance travelled = 45 + 75 + 95 + 110 = 325 m

Input : my bag carries no more than ten books
Pass codes :
Batch I : more my than bag ten carries books no
Batch II : bag ten than carries my books more no
Batch III : my bag books ten more than no carries
Batch IV : ten more books than bag no my carries.

Since there is a rest of 1 hours after 1:30 PM

At 2:30 again batch II will start.

Change from Batch II to Batch IV

Batch II : bag(1) ten(2)  than(3)  carries(4)  rny(5)  books(6)  more(7)  no(8) {(1),(2)..... denote the position of the words)
Batch III : my bag books ten more than no carries
Batch IV : ten(2) more(7) books(6) than(3) bag(1) no(8) my(5) carries(4)

So, "if(1) winter(2) comes(3) can(4) spring(5) be(6) far(7) behind(8)" will become "winter(2) far(7) be(6) comes(3) if(1) behind(8) spring(5) can(4)"

Code generation for batch I:

my(1) bag(2) carries(3) no(4) more(5) than(6) ten(7) books(8)

more(5) my(1) than(6) bag(2) ten(7) carries(3) books(8) no(4)

"winter far be comes if behind spring can" will become " if winter behind far spring be can comes"

At 10:30 2nd batch will start. Since Rahul was late, he will join the 3rd batch. In the 3rd batch, the passcode is generated according the following rule:

Last four words are alternatively placed behind the first four words in the same order.

So 12345678 becomes (5)1(6)2(7)3(8)4. Hence C is the answer.

If the input is 12345678, then the fourth batch passcode becomes 75862413.

Hence, the input of "bah(7) bah(5) black(8) sheep(6) have(2) you(4) any(1) wool(3)" will be --any have wool you bah sheep bah black 

If the input is 12345678, then the code for the second batch will be 27631845. Hence, the input of " India's(2) core(7) strength(6) lies(3) in(1) unity(8) in(5) diversity(4)'" will be "in India's lies diversity in strength core unity". After reversing it as asked in the question, we get "unity core strength in diversity lies India's in". 

Hence, the correct answer is option B.

The given statements can be represented in the following basic diagram

From the above,

Conclusion I, affirmative, follows. Conclusion II, affirmative, does not follow. Conclusion III, negative, follows.Conclusion IV, affirmative, does not follow. Here, a negative conclusion follows from the basic diagram. The negation of it is “All rivers are mountains”. This cannot be represented in any alternate diagram. Hence, only I and III follow.

From statement II we get “Rashmi’s rank from the bottom is 44”.

R 4 3

From I and II together, 26

R 4 M 3 8

\ Mohit’s rank is 32nd from the top.

Similarly, if we take II and III together, we get 21

M 4 R 4 3

\Mohit’s rank is 22nd from the top.

The question can be answered by taking II

along with I and III.

I and II have no words in common. Therefore, we cannot determine the code for any of the 6 words involved. 
II and III have 'sweet' in common. We can determine the code for sweet but we cannot determine the code for 'orange'.
I and III have 'orange' in common. We can determine the word represented by 'orange' using I and III together and hence, option C is the right answer.

The given data can be represented as follows.

A1 − C

A2 − D, F (Cricket) A3 − E (Tennis)

From, (g) and (c) it can be concluded that A (tennis) sits in coach A1. From (d) and (e) it can be said that C does not love playing tennis. Hence, C loves playing cricket or volleyball.

From (f) and (d), D does not love playing volleyball.

C loves to play either cricket or volleyball.

Only A and C are seated in coach A1.

The given data can be represented as follows.

A1 − C

A2 − D, F (Cricket) A3 − E (Tennis)

From, (g) and (c) it can be concluded that A (tennis) sits in coach A1. From (d) and (e) it can be said that C does not love playing tennis. Hence, C loves playing cricket or volleyball.

From (f) and (d), D does not love playing volleyball.

C loves to play either cricket or volleyball.

Only A and C are seated in coach A1.

Let us note down the given information.
The sport by star sports I was shown on shown on Friday.
SS1 - Friday - ?
Tennis was shown on Monday.
? - Monday - Tennis
Kabaddi was shown by Sony Six but was not broadcast on Thursday. We know the sports broadcast on Friday and Monday. Therefore, Kabaddi should be broadcast on Tuesday and Football should be broadcast on Thursday or Friday. 
Football is broadcast by Neosports. Therefore, Tennis should be broadcast by Ten sports 2 and Football should be broadcast on Thursday. The final arrangement is as follows:

Ten Sports 2 - Monday - Tennis

Sony Six -  Tuesday - Kabaddi

Neosports - Thursday - Football

Star Sports 1 - Friday - Cricket

Therefore, option B is the right answer.

Let us note down the given information.
The sport by star sports I was shown on shown on Friday.
SS1 - Friday - ?
Tennis was shown on Monday.
? - Monday - Tennis
Kabaddi was shown by Sony Six but was not broadcast on Thursday. We know the sports broadcast on Friday and Monday. Therefore, Kabaddi should be broadcast on Tuesday and Football should be broadcast on Thursday or Friday. 
Football is broadcast by Neosports. Therefore, Tennis should be broadcast by Ten sports 2 and Football should be broadcast on Thursday. The final arrangement is as follows:

Ten Sports 2 - Monday - Tennis

Sony Six -  Tuesday - Kabaddi

Neosports - Thursday - Football

Star Sports 1 - Friday - Cricket

Ten sports 2 broadcasts Tennis on Monday. Therefore, option D is the right answer. 

The sum that was returned is same in both cases that means interest accrued is same in both cases.

Assume that the duration is 't' years for which amount is borrowed in both case and principal amount is 'P'.

                       $$\frac{P*(t-0.5)*10} {100}$$ = $$\frac{P*t*8} {100}$$

                                t=2.5 years

Principal amount that the enterprise borrowed : 

                      $$P(1+\frac{2*10}{100})$$ =62100

                                P=51750

In the given diagram AB=$$\sqrt{10}$$ m

                          

Given that PQRS is a square and the plank is placed symmetrically $$\triangle$$BPA and $$\triangle$$AQC will be isosceles right triangles.

Hence $$\text{AB}^2 = \text{PA}^2 + \text{PB}^2$$

As the plank is symmetrical, PA = PB, 

Hence $$\text{AB}^2 = 2\times\text{PA}^2$$  =>  $$\sqrt{10}^2 = 2\times\text{PA}^2$$

          So PA=PB=$$\sqrt{\frac{10}{2}}$$=$$\sqrt{5}$$ m

          PQ = PA+AQ  

          AQ = PQ-PA = 10-$$\sqrt{5}$$ m

We know that AQ=QC ($$\triangle$$AQC is isosceles right triangle)

     So AC=$$\sqrt{2}$$AQ=$$\sqrt{2}$$*(10-$$\sqrt{5}$$) m

Now we can calculate area of plank 

     Area of ABCD= AB*AC= $$\sqrt{10}$$*$$\sqrt{2}$$(10-$$\sqrt{5}$$)=10($$\sqrt{20}$$-1) sq. mt

Let the duration in which the will be completed be 't' days.

The portion of work done by Nikhil = $$\frac{5}{75}$$= $$\frac{1}{15}$$                    ( Since He worked for 5 days)

Somesh left 2 days early that means Somesh must have worked for 't-2' days

The portion of work done by Somesh = (t-2)*$$\frac{1}{45}$$

Similarly, the portion of work  done by Tarun = t*$$\frac{1}{60}$$

Solving for t

          $$\frac{1}{15}$$+(t-2)*$$\frac{1}{45}$$+t*$$\frac{1}{60}$$ = 1

             $$\frac{4(t-2)+3t}{180}$$   = $$\frac{14}{15}$$

                      t=$$25\frac{1}{7}$$

Therefore, option A is the correct answer. 

Splitting the above mentioned series into two series 

A = $$\log_{e}3+\frac{1}{2!}(\log_{e}3)^{2}+\frac{1}{3!}(\log_{e}3)^{3}+...$$

B = $$5\log_{e}3+\frac{5^{2}}{2!}(\log_{e}3)^{2}+\frac{5^{3}}{3!}(\log_{e}3)^{3}+...$$

We know that $$e^{x}$$ =$$1+x+\frac{x^{2}}{2!}+\frac{x^{3}}{3!}+...$$

So  $$e^{x}-1$$ = $$x+\frac{x^{2}}{2!}+\frac{x^{3}}{3!}+...$$

On solving two series A and B

A = $$\log_{e}3+\frac{1}{2!}(\log_{e}3)^{2}+\frac{1}{3!}(\log_{e}3)^{3}+...$$ =$$e^{\log_{e}3}-1$$ = $$3-1$$ =$$2$$

B = $$5\log_{e}3+\frac{5^{2}}{2!}(\log_{e}3)^{2}+\frac{5^{3}}{3!}(\log_{e}3)^{3}+...$$=$$e^{\log_{e}3^{5}}-1$$=$$3^{5}-1$$=$$242$$

A+B = $$2 + 242$$ = $$244$$

$$f(x) = \frac{1}{1+x}$$

$$f[f(x)]$$ = $$\frac{1}{1+f(x)}$$ = $$\frac{1}{1+\frac{1}{1+x}}$$= $$\frac{1+x}{2+x}$$

$$f[f[f(x)]]$$ = $$\frac{1}{1+f{f(x)}}$$=$$\frac{1}{1+\frac{1+x}{2+x}}$$=$$\frac{2+x}{3+2x}$$

$$f[f[f(x)]]$$=$$\frac{2+5}{3+2*5}$$= $$\frac{7}{13}$$

Let's assume that P gm of chemical X and Q gm of chemical Y to be used to meet the requirement.

So net quantity of salt A in both the chemicals

  A=$$\frac{5}{100}*P$$ + $$\frac{10}{100}*Q \geq 7$$

Similarly net quanity of salt B in both the chemicals 

 B=$$\frac{10}{100}*P$$ + $$\frac{6}{100}*Q \geq 7$$

For minimum cost 

A=$$\frac{5}{100}*P$$ + $$\frac{10}{100}*Q = 7$$

 B=$$\frac{10}{100}*P$$ + $$\frac{6}{100}*Q = 7$$

On solving both equations for P and Q

                            P=40  Q=50

So minimum cost will be = $$40*10.50+50*7.80=810$$

Let's assume 'n' be the number of units that Suntex needs to manufacture and sell in order for their revenue to be equal to their total costs for each production run.

Cost incurred for manufacturing these 'n' units = $$50400+\frac{50}{100}*12n$$

                                                  =$$50400+6n$$

Revenue generated by selling these units = $$12n$$

For break-even   Revenue generated = Cost incurred

                                      $$50400+6n$$ = $$12n$$

                                            $$6n = 50400$$

                                             $$n = 8400$$

Given that $$x_{n}=5x_{n-1} - \frac{3}{4}x_{n-2}$$

        $$\therefore$$  $$x_{2}=5x_{1} - \frac{3}{4}x_{0}$$

            $$x_{2}=5*2 - \frac{3}{4}*4$$ = $$10-3$$ = 7

Similarly  $$x_{3}=5x_{2} - \frac{3}{4}x_{1}$$ 

               $$x_{3}=5*7 - \frac{3}{4}*2$$ = 35 - $$\frac{3}{2}$$ = $$\frac{67}{2}$$

Let's assume that revenue reported from ACN-I and ACN-II sales in 2015 be X and Y respectively.

So revenue generated from ACN-I sales in 2016 = $$X(1- \frac{12}{100})$$ =$$0.88X$$

Similarly revenue generated from ACN-II sales in 2016 = $$Y(1+ \frac{9}{100})$$ =$$1.09Y$$

                   $$0.88X$$ + $$1.09Y$$ = $$(X+Y)(1+\frac{3}{100})$$

                    $$0.88X$$ + $$1.09Y$$ =     $$1.03X$$ + $$1.03Y$$

                                $$6Y = 15X$$

                                   $$\frac{X}{Y}$$ = $$\frac{2}{5}$$

$$10^{67}- 87$$ = $$9999....99913$$ (total 67 digits)

Sum of digits =$$65*9 + 1 + 3$$ = 589

In the given diagram AE is the mall building and DE is pole. The observer is at C point which is 400 mts from the ground. 

It is given that $$\angle$$DCE = $$\angle$$ECA = $$\theta$$

In $$\triangle$$ACD and $$\triangle$$ECD

tan(2$$\theta$$) = $$\frac{400}{x}$$

tan($$\theta$$) = $$\frac{75}{x}$$

We know that tan(2$$\theta$$) = $$\frac{2tan(\theta)}{1-tan^{2}(\theta)}$$

                  $$\therefore$$ $$\frac{400}{x}$$ = $$\frac{2*\frac{75}{x}}{1-(\frac{75}{x})^{2}}$$

                          $$x^{2}$$ = 9000 = $$30\sqrt{10}$$

Given that  probabilities of his delivering the product late to the destination by using  bike, scooter, tempo and truck are 3/5, 2/5, 1/5 and 4/5 respectively.

Hence the probabilities of his delivering the product on time by using these modes of transport are 2/5, 3/5, 4/5 and 1/5 respectively.

Hence the required probability  

                         P = $$\frac{\frac{1}{9}*\frac{3}{5}}{\frac{2}{9}*\frac{2}{5}+\frac{1}{9}*\frac{3}{5}+\frac{4}{9}*\frac{4}{5}+\frac{2}{9}*\frac{1}{5}}$$

                         P = $$\frac{3}{25}$$

Distance covered by the pest control person = Circumference of the circular hall = $$2*\frac{22}{7}*49$$ = 308 m

So machine's speed = $$\frac{308}{148}$$ m/min = 2.08 m/min

The distance that is to be covered =  Perimeter of hexagon = 6 * 54 = 324 m

Time consumed  = $$\frac{Distance}{Speed}$$

                           = $$\frac{324}{2.08}$$ 

                           =155.7 min

So additional time taken by the machine is = 155.7-148 = 7.7 $$\approx$$ 7.69 minutes.

With the help of given information we can make Venn diagram:

                                                   

                           It's given that   e=2d= 4(12)=48 and d=48/2= 24

                             So                    e= 12+f  so f=e-12=48-12=36

                            total number of students in GSC= 120 =a+e+d+12

                                             a=120-48-24-12 =36

                             Similarly in case of CG,   CG=124=c+e+f+12

                                               c=124-12-48-36=28

                                   total number of students a+b+c+d+e+f+g+12=360

                                          36+b+28+24+48+36+72+12=360

                                                b=104 

The distance covered by Ramesh in 90 minutes = 1.5*3 = 4.5 kms

Similarly the distance covered by Sohan in 90 minutes = 1.5*4 = 6 kms

The distance between Sohan and Ramesh after 90 minutes will be :

                               Cos(A) = $$\frac{b^{2}+c^{2}-a^{2}}{2bc}$$

                                     Cos(120) = $$\frac{4.5^{2}+6^{2}-d^{2}}{2*4.5*6}$$

                                                $$d^{2}$$ = $$4.5^{2}+6^{2}-2*4.5*6*Cos(120)$$

                                                        $$d^{2}$$ = 20.25+36+27 = 83.25

                                                              d =  $$\sqrt{83.25}$$

                                                             $$d \approx 9.12$$

  In $$\triangle$$OAB      

          OC is drawn perpendicular to AB 

           By symmetry AC=CB=AB/2 =24/2= 12 

                                OA=13

                    $$OC^{2}=OA^{2}-AC^{2}$$

                    $$OC^{2}=13^{2}-12^{2}$$=25

                                 OC=5

So area of shaded region = Area of sector OAPB - Area of $$\triangle$$OAB

                                      =$$\frac{x}{360}*\pi*(OA)^{2}$$-$$\frac{1}{2}*(AB)*(OC)$$

                                      =$$\frac{x}{360}*\pi*(13)^{2}$$-$$\frac{1}{2}*(24)*(5)$$

                                      =$$\frac{169\pi x}{360}-60cm^{2}$$

Since PQ and PT are tangent on circle so $$\angle$$PQO = $$\angle$$PTO = 90

In quadrilateral PQOT   $$\angle$$PQO+$$\angle$$PTO+$$\angle$$QOT+$$\angle$$TPQ = 360

                                                           90+90+$$\angle$$QOT+55 =360

                                                           $$\angle$$QOT = 125

Since AB touches the circle hence OA and OB are the angle bisector of $$\angle$$QOS and $$\angle$$TOS respectively.

                                 So $$\angle$$AOB = $$\frac{1}{2}\angle$$QOT = $$\frac{125}{2}$$ = 62.5

  Given that $$\triangle$$ABC

Since AD is the median to BC, D will be mid point of BC. So coordinates of D = ($$\frac{-2+0}{2} ,\frac{3-4}{2}$$) = (-1 ,$$\frac{-1}{2}$$)

Equation of line passing through points A(1,5) and D(-1,$$\frac{-1}{2}$$) will be :

                $$(y-x_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})$$                   (Here $$(x_{1},y_{1})=(1,5)$$ ,  $$(x_{2},y_{2})=(-1,\frac{-1}{2})$$)
                
                $$(y-5)=\frac{(\frac{-1}{2})-(5)}{(-1)-(1)}(x-1)$$
                
                $$4(y-5)=11(x-1)$$
                
                $$11x-4y+9=0$$

Let's assume that quantities of juice taken from the first and second cans be x and y respectively.

So we can say that  x+y = 12                                                                             ...(1)

Net quantity of water in resulting mixture =$$\frac{25}{100}*x+\frac{50}{100}*y$$

Ratio of water to pulp in resulting mixture = 3:5 hence the mixture will contain $$\frac{3}{3+5}th=\frac{3}{8}th$$ part as water.

                                  $$\frac{25}{100}*x+\frac{50}{100}*y=\frac{3}{8}*(x+y)$$

                                  $$\frac{x}{4}+\frac{y}{2}=\frac{3}{8}*(12)$$    (Since x+y=12 )

                                     $$x+2y=18$$                                                                 ...(2)

                   Solving equation (1) and (2) for x and y 

                                                x=6 , y=6

Let the time taken by second bore well be t hours, then the time taken by first bore well will be t + 10 and the time taken by the third bore well will be t - 8. Now since first two bore wells operating together take same time as taken by the third bore well we can say that work done in unit time will be same in both cases :

$$\frac{1}{t+10}+\frac{1}{t}=\frac{1}{t-8}$$

$$\frac{(t)+(t+10)}{(t)(t+10)}=\frac{1}{t-8}$$

$$(2t+10)(t-8)=(t)(t+10)$$

$$t^{2}-16t-80=0$$

$$(t-20)(t+4)=0$$

Since t $$\neq$$ 4, hence t = 20

So the time taken by the third bore well will be t - 8 = 20 - 8 =12 hours

Average export for the period 2012-2016 = (Sum of all exports in 2012-2016)/5 = (275+350+325+275+250)/5 =295    (US dollar in billions)

Manufactures Export of India in 2016 = 75 percent of the exports (from graph) = (295*75)/100 = 221.25    (US dollar in billions) 

Trade balance = Imports - Exports 

For 2012:

Manufactures Trade balance = Manufactures import - manufactures export

                                           = 500*(35/100) - 275*(65/100) = -3.75                                                                       (From Graph)

For 2013:

Manufactures Trade balance = 475*(40/100) - 350*(60/100) =  -20

For 2014:

Manufactures Trade balance = 450*(45/100) - 325*(55/100) = 23.75

For 2015:

Manufactures Trade balance = 375*(50/100) - 275*(70/100) = -5

For 2016:

Manufactures Trade balance = 350*(55/100) - 250*(75/100) = 5

Number of positive trade balances = 2

Number of negative trade balances = 3

Proportion of positive and negative trade balances = 2:3

Trade deficit of fuel = import of the fuel - export of the fuel = total import * percentage of fuel import -  total import * percentage of fuel export

For year 2013, trade deficit of fuel = (475*42)/100 - (350*25)/100 = 199.50 - 87.5 = 112     (US dollar in billions)

For year 2014, trade deficit of fuel = (450*40)/100 - (325*20)/100 = 180 - 65 =115   (US dollars in billions)

For year 2015, trade deficit of fuel = (375*30)/100 - (275*10)/100 = 112.50 - 27.5 = 85      (US dollars in billions)

For year 2016, trade deficit of fuel = (350*25)/100 - (250*10)/100 = 87.5 - 25 = 62.5       (US dollars in billions)

Trade deficit of fuel is 2nd lowest for year 2015.

India's import in 2017 = import in 2016*(1 +  (10/100))                  (Since growth rate is 10 percent)

                                =  350 * 1.1 = 385    (USD in billions)

India's export in 2017 = export in 2016*(1 +  (10/100))                  (Since growth rate is 10 percent)

                                = 250*1.1 = 275      (USD in billions)

New sectoral share of fuel in imports = 25+5 =30 percent

New sectoral share of fuel in exports = 10+5 =15 percent

India's fuel imports in 2017 = 385*30/100 = 115.5 (USD in billion)

India's fuel exports in 2017 = 275*15/100 = 41.25 (USD in billion)

Trade deficit of fuel = Fuel import - fuel export = 115.5 - 41.25 = 74.25 (USD in billions) 

Trade deficit = Import - Export 

India' trade deficit in 2016 = 350 - 250 = 100   (USD in billions)

India' trade deficit in 2017 = 100+54 = 154  (USD in billions)

154 = Import - 324 

Hence, import = 324+154 = 478 (USD in billions)

India food import percentage in 2017 = India food import percentage in 2016  = 7.5 (Given)

India food import percentage in 2017 = India food import percentage in 2016  = 25 (Given)

India's food export in 2017 = 478*7.5/100 = 35.85 = 36(Approx)     (USD in billion)

India's fuel export in 2017 = 478*25/100 = 119.5       (USD in billion)

The Prices of wheat has increased only in 4 instances. 
January 17 - from Rs.123 to Rs. 137
% increase = 14/123
February 17 - from Rs.137 to Rs.147
% increase = 10/137
May 2017 - from Rs.138 to Rs.146
% increase = 8/138
June 17 -from Rs.146 to Rs. 157
% increase = 11/146

We can see that 8/138 is the smallest fraction and 10/137 is the second smallest fraction. Therefore, the third highest increase in monthly prices happened in February 17 and hence, option B is the right answer. 

Months in which price is increased from previous months,

For Barley, no period has double digit growth.

For wheat, Dec'16-Jan'17 has double digit growth.

For maize, no period has double digit growth.

For sorghum, May'17-Jun'17 has double digit growth.

Total 2 periods have double digit growth.

Total traffic of all ports

for 2011-12,   43248+54254+67420+14956+55707+28105+20090+32941+39049+56186+65730+82501 = 560187      

for 2012-13,   39928+56552+59038+17885+53404+28260+19845+37036+17738+58038+64488+93619 = 545831

for 2013-14,    41386+68003+58504+27337+51105+28642+20886+39365+11739+59184+62333+87005 = 555489

for 2014-15,    46293+71011+58004+30251+52541+32414+21595+36566+14711+61660+63801+92497 = 581344

for 2015-16,    50195+76395+57033+32206+50058+36849+22099+35582+20776+61110+64027+100051 = 606381

Highest average growth = growth/12    (Total no of ports = 12)

For 2012-13, growth is negative.

For 2013-14, growth = 555489-545831 = 9658

For 2014-15, growth = 581344-555489 = 25855

For 2015-16, growth = 606381-581344 = 25037

Here, 2014-15 has highest growth from previous period.

Ports with growth in traffic are Kolkata, Paradip, Kamarajar, Chidambaranar, Kochin, New Mangalore, Mumbai and Kandla.

From year 2011-12 to year 2015-16,

Growth for Kolkata = 7000   

Growth for Paradip = 22000

Growth for Kamarajar = 17000

Growth for Chidambaranar = 9000

Growth for Kochin = 2000

Growth for New Mangalore = 3000

Growth for Mumbai = 5000

Growth for Kandla = 17500

Since all values are approximate, port with third highest growth is either Kandla or Kamarajar whichever is lower.

Actual Growth for Kamarajar = 17250

Actual Growth for Kandla = 17550 

Hence Kamarajar is the port with 3rd highest growth rate.

Total traffic for Kolkata in 2017-18 = Traffic for Kolkata in 2015-16*(1+ (10/100))*(1+(10/100)) = 

                                                      = (Traffic for Kolkata in 2015-16) * 1.1 * 1.1 = 

                                                      = (Traffic for Kolkata in 2015-16) * 1.21                         (Given growth rate is 10 percent)

Total traffic for Vizag in 2017-18 = (Traffic for Vizag in 2015-16) * 1.21 

Total traffic for Cochin in 2017-18 = (Traffic for Cochin in 2015-16) * 1.21 

Sum of total traffic of these ports in 2017-18 =(Sum of total traffic of given ports in 2015-16)*1.21

                                                                   =(50,195+57033+22099)*1.21 = 129,327*1.21 = 156500 (Approx)

After 2004-05, WPI is calculated based on change from 2004-05.

Therefore, WPI of F & P in 2015-16 = 178.8 percent of WPI in 2004-05      (from table, WPI of F&P)

                                                    =  280.2*178.8/100 = 500.99

WPI of F & P in 2015-16 according to base 1990= 500.99.

WPI of F&P in 2001-02 = 226.7        (from the table)

Percentage change =  ((500.99-226.7)/226.7)*100 = 121 percent

There is a change in the base year used for calculation in 2005. 
Therefore, the actual change will be proportional to the product of the change till 2005 and the change till 2015-16. 
PA:
WPI in 2001-02 = 168.4
WPI in 2015-16 = 188.1*2.496 = 469.4976

AC:
WPI in 2001-02 = 161.3
WPI in 2015-16 = 187.3*1.767 = 330.9591

F&P
WPI in 2001-02 = 226.7
WPI in 2015-16 = 280.2*1.788 = 500.9966

MP:
WPI in 2001-02 = 144.3
WPI in 2015-16 = 166.3*1.534 = 255.1042

MP has not doubled where as the other 3 have more than doubled during the given period. We can eliminate MP. 
AC has increased slightly more than twice its original value. F&P has increased by a percentage greater than AC. PC has increased by a substantial amount over twice its initial value. Therefore, F&P has the second highest percentage increase in WPI and hence, option C is the right answer. 

From given options, 

for the year 2003-04, percentage change in WPI on FA = ((181.5-179.2)*100)/179.2 = 230/179.2 =1.28

for the year 2004-05, percentage change in WPI on FA =((186.3 - 181.5)*100)/186.3 = 480/186.3 = 2.57

for the year 2015-16, percentage change in WPI on FA = ((262.1-253.4)*100)/253.4 = 870/253.4 = 3.43

By observation, 2003-04 has smallest percentage change because the change increases by a higher factor than the value of FA in the years other than mentioned above.

For 2005-06,

WPI = PA*(40/100)+F&P*(x/100)+MP((60-x)/100)            (x is the percentage weight-age for F&P)

From table,

104.5 = 104.3(0.4) + 113.6*(x/100) + 102.4*(0.6- x/100)

x= 12

weight-age for F&P = 12

weight-age for MP = 60 - x = 60 - 12 =48

F&P observed a decline during 2008-09 and 2009-10. F&P observed a decline during 2014-15 and 2015-16 as well.  Therefore, option C is the right answer. 

Quarters with positive deviations from its trend

1999 Quarter 1, deviation = Value - moving average = 68-62.88 = 5.12

1999 Quarter 4, deviation = 67-65.25 = 1.75 

2000 Quarter 1, deviation = 70-63.88 = 6.12

2001 Quarter 1, deviation = 60-55.12 = 4.88 

Clearly, 1999 Quarter 1 is second highest.

Quarters with negative deviation from its trend

Average deviation for any quarter  = Sum of all deviations from the quarter / Number of years

By observation, Quarter 1 will be rejected as all its deviations are positive.

Average deviation for quarter 2  =  ((63-64.5) + (59-61.12) + (55-55.25))/3 = (-1.5-2.12-0.25)/3 = -3.87/3

Average deviation for quarter 3  =  ((56-60.38) + (63-65.5) + (56-58))/3 = (-4.38-2.5-2)/3 = -8.88/3

Average deviation for quarter 4 =   ((61-61.38) + (67-65.25) + ( 52-56.25 ))/3 = (-0.38+1.75-4.25)/3 = -2.88/3

Quarter 3 has maximum average negative deviation.

Compound Average Growth Rate= $$[\frac{End value}{Startvalue}]^{1/n}-1$$

1998 growth rate = $$[\frac{61}{65}]^{1/4}-1$$= -1.57%

1999 growth rate = $$[\frac{67}{68}]^{1/4}-1$$  = -0.36%

2000 growth rate = $$[\frac{52}{70}]^{1/4}-1$$  = -7.4%

2001  growth rate = $$[\frac{58}{60}]^{1/4}-1$$  = -0.84%

1998 is the year with second lowest quarterly CAGR.

Value of output for year 

1998      65+58+56+61 = 240

1999      68+63+63+67 = 261

2000      70+59+56+52 = 237

2001      60+55+51+58 = 224

Output Growth for

1999       ((261-240)/240)*100 = 8.75

2000       ((237-261)/261)*100  = -9.2

2001        ((224-237)/237)*100  = 5.48

To calculate the number of times graphs intersects, we can check number of times the difference of the two values changes sign. 

We can also plot a graph to calculate number of times they intersect.

Trend curve insects output curve 6 times.

Check the number of times where the difference of the actual value and trend value change sign.