IIFT 2019 Question Paper

It is given that by using the escalator, one can get out of the station in 80 sec.

Let us consider the number of steps =80

Speed of the escalator = 1 step/sec

When the escalator was not working, the time taken by a person = 50 sec

The speed of the person = 80/50=8/5 steps/sec

Time taken by a person walking down a moving escalator = $$\ \frac{\ 80}{\ \frac{\ 8}{5}-1}$$

=$$\ \frac{\ 80}{\ \frac{\ 3}{5}}$$

=2.22 min

B is the correct answer.

$$x=8-\sqrt{32}$$ and $$y=2+\sqrt{2}$$,

We have to find the value of $$\left(x+\frac{1}{y}\right)^2$$

$$\left(8-\sqrt{\ 32}+\ \frac{\ 1}{2+\sqrt{\ 2}}\right)^2$$

$$(\ \frac{\ 8\left(2+\sqrt{\ 2}\right)-\sqrt{\ 32}\left(2+\sqrt{\ 2}\right)+\ \ 1}{2+\sqrt{\ 2}})^2$$

$$\left(\ \frac{\ 9}{2+\sqrt{\ 2}}\right)^2$$

$$\ \frac{\ 81}{6+2\sqrt{\ 2}}$$

$$\left(\ \frac{\ 1}{y}\right)^2=\ \left(\frac{\ 1}{2+\sqrt{\ 2}}\right)^2$$ = $$6+2\sqrt{\ 2}$$

=$$\left(\ \frac{\ 2-\sqrt{\ 2}}{2}\right)^{^2}$$

=$$\ \frac{\ 6-4\sqrt{2\ }}{4}$$

=$$\ \frac{\ 3-2\sqrt{2\ }}{2}$$

$$x^2=64+32-64\sqrt{\ 2}$$

=$$96-64\sqrt{\ 2}$$

=32($$3-2\sqrt{\ 2}$$) = 32*$$2y^2$$

we get, $$x^{2\ }=\ 64y^2$$

$$\ \frac{\ 81}{y^2}=\ \frac{\ 81}{64}x^2$$

D is the correct answer.

Alternative solution,

$$xy=\left(8-\sqrt{\ 32}\right)\left(2+\sqrt{\ 2}\right)=4\sqrt{\ 2}\left(\sqrt{\ 2}-1\right)\times\ \sqrt{\ 2}\left(\sqrt{\ 2}+1\right)=8\left(2-1\right)=8$$

(As $$xy=8\ \longrightarrow\ y=\dfrac{x}{8}$$)

$$\left(x+\frac{1}{y}\right)^2=\left(\frac{\left(xy+1\right)}{y}\right)^2=\left(\frac{\left(xy+1\right)\times\ x}{8}\right)^2=\left(\frac{\left(8+1\right)\times\ x}{8}\right)^2=\frac{81}{64}\times\ x^2$$

Centroid divides orthocenter and circumcenter in the ratio of 2:1

The co-ordinates of orthocentre and the centroid of a triangle ABC are (—5, 7) and (5, 5)

Let the co-ordinate of circumcenter be (x,y)

5=$$\ \frac{\ 2x-5}{3}\ =\ 5$$ and $$\ \frac{\ 2y+7}{3}\ =\ 5$$

x=10 and y = 4

Hence the circumcenter = (10, 4)

Area of the tunnel to be filled with concrete = 16*8-$$\pi\ \left(32\right)$$

Length of the length along which the tunnel has to be filled with concrete = 500m

Volume = 16*8-$$\pi\ \left(32\right)$$*500

= $$32(4-\pi)$$*500

Cost of concrete per $$1 m^3$$ = 1000

Cost of $$32(4-\pi)$$*500 = $$32(4-\pi)$$*500*1000

=$$16(4-\pi)*10^{6}$$

C is the correct answer.

Let the value of MN be p

Since NP is the angular bisector

NP= $$\ \frac{\ 2\times\ MN\times\ NL}{MN+NL}\cos\theta\ \ $$

2x=$$\ \frac{\ 2\times\ p\times\ 3x}{p+3x}\cos60$$

p=6x

NP: NL: MN = 2:3:6

B is the correct answer.

Derivation for the length of angular bisector:

Let CP be the angular bisector of $$\angle\ ACB$$. And lengths of AB,BC,CA, CP,AP,PB be c,a,b,x,m,n respectively.

From triangles CPB and CPA using cosine rule we get:

$$n^2=a^2+x^2-2axCos\left(C\right)\ and\ m^2=b^2+x^2-2bxCos\left(C\right)$$

According to angle biscetor rule: $$\ \frac{b}{m}=\frac{a}{n}$$

.'.$$\frac{a^2}{b^2}=\frac{n^2}{m^2}$$= $$\frac{a^2+x^2−2axCos(C)}{\left(b^2+x^2−2bxCos(C\right)}$$.

$$\frac{a^2}{b^2}=\frac{a^2+x^2−2axCos(C)​}{b^2+x^2-2bxCos\left(C\right)}$$

Upon equating we get, $$(a^2−b^2)x−2ab(a−b)Cos(C)=0$$

since x$$\ne\ 0$$,

x=$$\frac{2ab(a−b)Cos(C)}{a^2−b^2}$$

.'.x=$$\frac{2abCos(C)}{a+b}$$.

Let x be the number of women who decided to execute the interior and exterior decoration of the society in a week’s time

Let the efficiency of each of them be 1

Total work = 7x

Number of women who worked on first day = x

Number of women who worked on second day = x-11

Number of women who worked on third day = x-22

....

On similar lines, the number of women who worked on $$n^{th}$$ day = x-(n-1)11

Number of women who worked on day 12=x-121

x+x-11+x-22+........x-(n-1)11 = 7x

12x-(11+22+....121)=7x

5x=$$\ \frac{\ 12}{2}\left(2\times\ 0+11\times\ 11\right)$$

x=145

C is the correct answer.

The sum accrued by Joseph if he had taken the job = (80000*3+120000*3+150000*4)*12

=144*$$10^5$$

If Joseph has taken the MBA program, tuition fee for the program = 1600000+2000000

Sum accrued post MBA = 200000*12*4+250000*12*4=21600000

Net amount = 21600000-3600000 = 180*$$10^5$$

Net gain if Joseph had taken MBA over job 10 years down the lane= 36*10^5

Percentage of gain = $$\ \frac{\ 36\times\ 10^5}{144\times\ 10^5}$$

=25%

B is the correct answer.

Let us consider angle CAB=2x and angle ACB=5x

From Alternate segment theorem,

angle AEC = 2x

In triangle AEC, 60+180-5x+2x=180

3x=60

x=20

In triangle ABC, angle ABC = 180-7*20=40

A is the correct answer.

Let the total customers be 100.

Number of customers who said that they will return = 76x

Number of customers who said that will not return = 24x

Number of customers among those who said that they will return rated the restaurant as good = 76x*0.36

Number of customers among those who said that they will not return rated the restaurant as good = 24x*0.32

Number of customers who rated the restaurant as good = 76x*0.36+24x*0.32 = 35.04x

Percentage of customers who rated the restaurant as good = approx 35%

B is the correct answer.

Two couples can be selected in $$^4C_2=6$$ ways.

The selected couples will have the males sitting to the left of the females, and the other couples will have it the other way around. In this way we cover all the possibilities of the conditions given.

The four couples can be seated in $$3!=6$$ ways.

Thus, the total ways of seating arrangement = $$6\times 6=36$$

Hence, the answer is option A.

Nawab’s satisfaction/ utility level is given by adding twice of the satisfaction level of Saif with the satisfaction level of Amir.

Saif makes a profit of ₹ 100, his satisfaction level goes up by 10% and if he suffers a loss of ₹100, his satisfaction level goes down by 10%.

Amir makes profit of ₹ 100, his satisfaction level goes up by 5% and if he suffers a loss of ₹ 100, his satisfaction level goes down by 15%.

Nawab’s satisfaction level is 24 and the satisfaction level of Saif is the same as the satisfaction level of Amir

Let x be the satisfaction level of Saif 

24=3x

x=8

If Saif makes a profit of 100 and Amir suffers a loss of ₹ 100, the satisfaction level of Saif and Amir goes up by 10% and goes down by 15% respectively.

The satisfaction of Saif and Amir = 8.8 and 6.8

Nawab's new satisfaction/ utility level = 2*8.8+6.8 =24.4

Percentage change = $$\ \frac{\ 24.4-24}{24}$$

=1.67%

D is the correct answer.

Let 'a' and 'b' be the heights of the two poles

X be the initial position of the man and the angles of elevation be $$60^0$$ and $$45^0$$

Distance between pole 1 and X  = $$\ \frac{\ a}{\sqrt{\ 3}}$$ and distance between pole 2 and X = b

Let Y be the position of the man after walking sometime towards the other pole = 

Distance between Y and pole 1 = $$\ \ a\sqrt{\ 3}$$ and distance between the pole 2 and Y = $$\ \frac{\ b}{\sqrt{\ 3}}$$

Since the distance between the poles will remain the same 

$$\ \frac{\ a}{\sqrt{\ 3}}$$ + b = $$\ \ a\sqrt{\ 3}$$ + $$\ \frac{\ b}{\sqrt{\ 3}}$$

$$\ \frac{\ a}{b}=\ \ \frac{\ \sqrt{\ 3}-1}{2}$$
A is the correct answer.

Consider the revenue per passenger = P

=> Total revenue = 24*4P = 96P

Since the total cost is proportional to interest, it can be assumed as 120*K

Total cost*(1+Profit/100)=Revenue 

=> 120K(1+15/100) = 96P ..........(1)

New Revenue = 20*5P = 120*(0.9)K*(1+Profit/100) ..........(2)

Dividing (2) by (1),

25/24  = (0.9/1.15)(1+Profit/100)

Profit/100 = (25*23)/(18*24) - 1 = 1.33-1

=> Profit = 33%, Option A is the answer.

The number of students in 2018-19 MBA batch = 400

Number of students who did not choose 'Business Statistics' = 200

Number of students who did not choose 'International Management' = 100

Number of students who did not choose any of the two subjects = 80

Number of students who choose at least one of the two subjects = 400-80=320

140+x=320

x=320-140=180

A is the correct answer.

Time when the tho hands of the clock are completely opposite to each other between 2.00 pm and 3.00 pm

let x be the minutes covered in between 2.00 pm and 3.00 pm

180=$$\frac{11x-60*2}{2}$$

x=43.6

B is the correct answer.

Option A: 

$$37^{371}-26^{371}$$ mod 10

=$$7^{371}-6^{371}$$

Since 7 and 10 are co-prime to each other

E(10) = 10*($$\left(1-\ \frac{\ 1}{2}\right)\left(1-\ \frac{\ 1}{5}\right)$$

=4

$$7^{4}$$ mod 10 = 1

$$7^{4*92}*7^{3}$$ mod 10 = $$1*7^{3}$$ mod 10 =3

$$6^{371}$$ mod 10 = 6

Hence $$37^{371}-26^{371}$$ is not divisible by 10

Option B: 

$$37^{371}-26^{371}$$ mod 11

$$4^{371}-4^{371}$$ mod 11

Hence $$37^{371}-26^{371}$$ is divisible by 11

Option C: 

$$37^{371}-26^{371}$$ mod 12

$$1^{371}-2^{371}$$ mod 12

Hence $$37^{371}-26^{371}$$ is not divisible by 12

Option D:

$$37^{371}-26^{371}$$ mod 15

$$7^{371}-11^{371}$$ mod 15

$$37^{371}-26^{371}$$ is not divisible by 15

B is the correct answer.

Let the speed of the boat in the still water = 100x and the travel time = 100t and the distance between Rishikesh and Haridwar be 'd'

Let the speed of the river be 100r

Since the owner of the motorboat decides to increase the number of trips, he increased the speed.

Increased speed in still water = 150x

Final travel time = 40t

$$\ \frac{\ d}{100x+100r}+\ \frac{\ d}{100x-100r}=100t$$   ---(1)

After the ease in speed 

$$\ \frac{\ d}{150x+100r}+\ \frac{\ d}{150x-100r}=40t$$     ---(2)

Dividing 1 by 2, we get x/r = $$\sqrt{\ \ \frac{\ 11}{6}}$$

A is the correct answer.

The average scores of Virat, Rohit, Mahendra, Rahul and Shikhar in the first 20 matches are 60, 55, 50, 45,40 respectively.

In the next 10 matches, Virat and Rohit each scored 900 runs whereas Mahendra scored twice that of Rahul.

Virat's score in 30 matches = 60*20+900=2100

Let us consider Rahul scored x runs in last 10 matches, then Mahendra scores 2x runs.

Rahul's score in 30 matches = 45*20+x=900+x

Mahendra's score in 30 matches = 50*20+2x = 1000+2x

It is given that 

After 30 matches, Virat’s new average score is twice that of Rahul.

2100=2(900+x)

x=150

Mahendra's score in 30 matches =1300

Average score of Mahendra = 43

C is the correct answer.

From the above figure area of  the region bounded by ABCDEFGH = Are of the square with side 2 - (4*quadrants with side 1cm + 4x)

=4-$$\pi\ $$-4x

Which is same as the area of the square with side 1 cm -4y

4-$$\pi\ $$-4x = 1-4y

4x-4y=3-$$\pi$$

y-x= $$\frac{\pi-3}{4}$$

D is the correct answer.

Let the capacity of the cistern be LCM of 12 and 15 = 60l

The rate of flow through the inlet pipe 1 = 60/12=5 l/min

The rate of flow through the inlet pipe 2 = 60/15=4 l/min

It is given that despite leakage the two inlet pipes together can fill the cistern in 20 min.

Let the flow through the leakage be x l/min

(5+4-x)20=60

9-x=3

x=6

The leakage will empty the cistern in 60/6=10 min

A is the correct answer.

Let x be the other side.

It is given that the angles are in AP, so the angles are 60-x, 60, 60+x

cos 60=$$\ \frac{\ x^2+169-144}{2\times\ x\times\ 13}$$

$$x^2-13x+25=0$$

x=10.6, 2.35

Inradii (r) = Area /Semi perimeter

when x= 10.6

$$\ \frac{\ \ \frac{\ 1}{2}\cdot12\cdot10.6*sin 60}{17.8}$$ = 3.09 

when x= 2.34

$$\ \frac{\ \ \frac{\ 1}{2}\cdot12\cdot2.34*sin 60}{13.67}$$ = 0.9

x=1cm(approx)

D is the correct answer.

Let's consider x-5 as 'p'

Case 1: $$p \ge\ $$ 0

$$\mid x-5\mid^2+5\mid x-5\mid-24=0$$

$$p^2\ +5p\ -24\ =0\ $$

$$p^2\ +8p\ -3p\ -24\ =0\ $$

$$p\left(p+8\right)-3\left(p+8\right)\ =0\ $$

$$\left(p+8\right)\left(p-3\right)$$ = 0

p=-8 and p=3

x-5=3,x=8 This is a real root since x is greater than 5.

x-5=-8, x=-3. This root can be negated because x is not greater than 5.

Case 1: $$p < $$ 0

$$p^2\ -5p\ -24\ =0\ $$

$$p^2\ -8p\ +3p\ -24\ =0\ $$

p=8, -3

x-5=8, x=13. This root can be negated because x is not less than 5

x-5=-3, x=2. This is a real root because x is less than 5.

The sum of the real roots = 8+2=10

D is the correct answer.

The three babies who are born on the same day of the week can be selected in $$^{^7}C_3$$ ways

The number of ways in which a particular day can be selected = 7

The remaining four babies can be born in 6*5*4*3 ways

The probability that three babies were born on the same day of the week =$$\frac{^{^7}C_3*7*6*5*4*3}{7^7}$$
=$$\ \frac{\ 1800}{7^5}$$

A is the correct answer.

Cost of refrigerator= 42,000

Amount paid as downpayment by Monika = 12,000

So the amount on which Monika has to pay the interest = 30,000.

Interest charged per annum = 10%

Since she is repaying the amount half-yearly, the interest = 5%

30000*$$\ \frac{\ 105}{100}$$ = $$\ \frac{\ x}{1.05^3}+\ \frac{\ x}{1.05^2}+\ \frac{\ x}{1.05}+x$$

31500 = 3.723x

x=8460

C is the correct answer.

For the first year, interest= 1200000*0.08 

It has been given that she repays the principal of the loan in 25 years i.e she pays $$\frac{1200000}{25}$$ = Rs 48000 at the end of every year.

Therefore the interest for the second year is calculated only on the remaining sum i.e 1200000-48000 = Rs 1152000

for the second year, interest  = 1152000*0.08

On similar lines for the twenty-fifth year = 48000*0.08

This is in AP with first term 48000*0.08 with common difference 3840

Total interest = $$\ \frac{\ 25}{2}\left(2\times\ 48000\cdot0.08+24\cdot3840\right)$$

=1248000

A is the correct answer.

Option A is incorrect because the passage states that industry leaders are more skewed towards developing sustaining technologies. This does not mean that they cannot implement DI successfully in their companies. It is a matter of policy of the company that favours sustainable innovations more.

Option B is quite close, but it cannot be clearly inferred that there is a lack of understanding in larger companies regarding DI. Rather, the passage states that though the larger companies recognize the positives of DI, they prefer to concede ground to smaller companies, and prefer to pursue sustainable innovation. 

Option C is incorrect. The passage does not talk about geographical location anywhere in the passage.

Option D is the correct answer. The companies which have an established business structure, do not want to move out of their comfort zone and incur additional cost. Hence it is the correct answer.

Option A is incorrect. The passage suggests that disruptive innovation is indeed useful to the customers, and brings in a new wave of innovation.

Option C is incorrect. Since the passage says that DI is more easily carried out by start ups, this option conveys a point that is directly opposite to the passage.

Option D is incorrect. The passage explicitly states that smaller companies are better off entering new markets.

Option B is the only option that is mentioned in the passage. It states that DI has lower profit margins, and initially has smaller markets. Hence, it is the correct answer.

From the lines,

"Sustaining innovations are nearly always developed and introduced by established industry leaders. Month after month,year after year, they launch new and improved products to gain an edge over the competition." 
and
"Disruptive innovations occur so intermittently that no company has a routine process for handling them. "
we can infer that option C is the correct answer as DI occurs intermittently and SI occurs continuously.

According to the author, smaller companies are better suited to pursue DI because they can accommodate lower margins in a way that the larger companies' policies would never allow themselves to do.

Option A is incorrect. The passage never mentions about the quality of the products.

Option B is incorrect. The passage never compares the quality of the trained workforce in both the cases.

Option D is incorrect. The new markets prefer start ups, not because their products are cheaper, but because their innovations are radically different from the existing products in the marker.

Option C is the view of the author of the passage. Hence, this is the correct answer.

After reading the passage we can understand that negotiation tactics are not genetically transmitted. The father and son mentioned in the passage have different negotiation tactics. Therefore option A is incorrect.

The passage states that although the bargaining style of people varies subtly depending upon the person with whom the bargaining is happening, the negotiation tactics usually remains the same. Option B is therefore incorrect.

Option C is incorrect. The passage never mentions that mirroring someone is an effective negotiation tactic.

Option D can be inferred from the passage. Hence it is the correct answer.

" The Assertive type believes time is money. For them, getting the solution perfect isn’t as important as getting it done."

From the above statement it is clear that the Assertive type believes that finishing the negotiation is more important than getting it right.

Option C is the correct answer.

The passage does not go into detail about bargaining tactics. It delves more into the different types of negotiators. Hence, option A is incorrect.

Option C talks only about assertion whereas the passage talks not only about assertion but also about other negotiation skills. Option C is incorrect as well.

The passage never talks about different types of leverage. Hence, this option is incorrect as well.

Option B is the correct answer.

The assertives believe that time is money. Therefore , the phrase every wasted minute is a wasted dollar would be best associated with people whose negotiation style is assertive.

"although democracy may not always be the cause of initial economic progress,it seems to be one consequence of that progress."

From the above lines it can be inferred that democracy can both be the cause and the consequence of the economic progress.

" Several of the fastest-growing Asian economics adopted more democratic governments during the past three decades, including South Korea and Taiwan"

Though the fastest growing Asian countries were undemocratic at the start, form the above lines we can infer that they are slowly becoming more and more democratic.

Option B is the correct answer.

After reading the passage it can be inferred that the author is of the opinion that neither democracy nor being undemocratic is a necessary condition for economic growth. Rather, the author is of the opinion that undemocratic governments that have established strong market economies and have protected their property rights have enjoyed a period of rapid growth. 

Further, in the second paragraph, the author states that in a well functioning , mature democracy, property rights are truly secure. 

Options A,B,C all mention factors like democracy,totalitarian regime and benevolent dictatorship respectively. While the author agrees that all these could achieve economic growth, he is of the opinion that those regimes should have proper market economy and property rights.

Option D hence is the correct answer.

After reading all the sentences in the passage, it is evident that the passage points out that neither a democratic regime nor a totalitarian regime in itself ensures economic growth. 

Option A is the correct answer.

Masayoshi San is anomaly when considering traditional Japanese, who are not very supportive of entrepreneurial spirit. They are more in favour of collaborative attitude rather than individualistic spirit. Masayoshi San was however an entrepreneur and hence he is an exception to Japanese culture. 

Option C is the correct answer.

From the passage we can see that the Japanese prefer long term relationships to short term relationships. Hence option D is incorrect.

Japanese culture is not very supportive of enterpreneurial spirit. Hence, option B is incorrect.

Japanese culture makes no mention about Japanese being particularly supportive of product innovation. Hence, this option is incorrect as well.

Option A , which mentions that Japanese culture is supportive of collaborative attitude is the correct answer.

The main idea of the passage is to show how Japanese culture has led to Japan enjoying a competitive advantage.

The passage does not make any claim about the sour labour relations in Japan. Hence option B is wrong.

The passage states that Japanese culture is less supportive of enterpreneurial activity than their western counterparts. Hence, option C is wrong.

The main subject of the passage is the competitive advantange enjoyed by the Japanese. The sluggishness of the American firms is a secondary tangential point.

Option A brings out the main idea of the passage efficiently and hence it is the correct answer.

"... reciprocal obligation and honesty help foster an atmosphere of trust between companies and their suppliers."

From the above lines it can be inferred that Japanese business practices have relationships built on trust and mutual commitment.

Option D is the correct answer.

(a) Across : The word lachrymose means producing tears.

(b) across : To be sardonic with someone means to mock someone.

(c) Down : The word capricious means to be unpredictable.

(d) Down : Trogolodytic means caveman -like.

Option B is the correct answer.

The meaning of the word quixotic is idealistic and impractical. The word scrupulous means extremely thorough. 

Option C is the correct answer.

The word vicissitude means change of fortune. Similarly, the word boisterous means unruly.

Option B is the correct answer.

Savage and barbaric are synonyms. The only other synonyms among the options are venomous and virulent. Hence, option D is the correct answer

Pertinacious and astute are synonyms. Similarly, the only synonyms in the options are foible and weakness. Option A is the correct answer.

Dilate and contract refers to the contraction and dilation of the pupil of the eyes. They are two opposing actions. 

Wax and wane similarly refers to the waxing and waning of the moon. This would be the correct answer.

The words serene and agitated are antonyms. The only two words that are antonyms are odious and pleasant. Hence option C is the correct answer.

The peasant refused to grovel at the feet of his master. The correct preposition to be used is "at". Hence, it is the correct answer.

Only the blood-stained road was a witness to his assassination. The correct preposition that is grammatically correct is "to".

Option D is the correct answer.

The meaning of the words are as follows.

Schism : Split or a division.

Torsion: twisting of an object because of applied torque

Zephyr : A gentle wind.

Palliative : a medicine that relieves pain

Intrepid : courageous.

Option B is the correct answer.

The meaning of the word lose is to be deprived of. The meaning of the word loose is not taut.

Only is option A has the words lose and loose been used correctly. Hence, it is the correct answer.

The meaning of the idiom , to flog a dead horse is to do something in vain,. Option A is the correct answer.

The meaning of the idiom , a pipe dream is to have an impracticable plan. Option C is the correct answer.

The term Ante merediem indicates time after midnight to noon. The term post merediem indicates the time from noon to midnight. Option A is the correct answer.

Only excellence and dividends would fit in the blanks to make a meaningful and grammatically correct sentence.

In case of international matters, there is always an element of risk in whatever one might do. Only the words case and whatever would yield the contextual meaning required in the aforementioned sentence. Hence, option A is the correct answer.

After reading all the sentences it can be inferred that hands and finger positions were recognized by those who understood the symbolism in ancient times.

Option B introduces this idea and hence it is the introductory sentence of the passage. Option A further establishes how, particular finger positions delivered a message that was recognized by those who understood the symbolism. Hence, it should logically follow B.

Options D and C gives two examples of such symbolism. Here, D should precede C because, D has the term "for example" in it.

The correct order of sentences is therefore BADC

After reading all the sentences, it can be inferred that the passage talks about how intelligence develops and is not an acquired quality.

Sentence C clears a misconception that intelligence is wholly inherited from our parents. Hence, it forms the introductory lines of the passage.

Sentence B clarifies the statement made in sentence C. Hence, it should be the second sentence of the passage.

Sentence A gives the idea that some people are born with greater possibilities than others. Sentece D follows this idea and gives the conclusion that though this is the case, the potential would develop only with the right influences.

Hence, the correct ordering of the sentences is CBAD

After reading all the lines of the paragraph, it can be inferred that the passage talks about how plans were made for regulation of automobile laws in EU states.

Sentence C introduces the plans that were announced by the European Commission. Hence, it should serve as the introductory sentence. 

Sentence B gives the reason that the plans would make it far easier for individuals to switch insurance companies. Hence, it would follow sentence C.

Sentences D and A give the two major changes proposed in the plan. A should follow D because A begins with , " The commission also wants".

Hence, the correct order is CDBA

2011 : 910/390= 2.33

2013: 1330/750= 1.77

2016: 970/550 = 1.75

2017: 960/370 = 2.6

Option C , 2016 is the correct answer.

2012 : 520/350 = 1.49

2013 : 700/650 = 1.07

2015 : 520/450 = 1.15

2016 : 520 / 450= 1.15

2013 is the lowest and hence it is the correct answer.

2015 = (450-300)/300 = 0.5

2014 = (650-300)/650 =0.54

2013 = (620-350)/350 = 0.77

2011 Style spend = (350-300)/350= 0.14
2011 sentiment index = 140/250 = 0.56
2011 ratio = 1/4.

2012 Style spend = 50/300 = 1/6
2012 sentiment index = 140/390 
Ratio 2012 = 0.06

2014 Style spend = (650-300)/650 =0.54
2014 sentiment index =360/750=0.48
Ratio = 1.1

2017 style spend = 100/450
2017 sentiment Index = 160/550
Ratio = 0.75

Option C is the correct answer.

2015 = (450-300)/300 = 0.5

2014 = (650-300)/650 =0.54

2013 = (620-350)/350 = 0.77

2011 =  (350-300)/350= 0.14

The highest percentage change is in the year 2013

With A as one of the product, A-B, A-C, A-D, A-E are the pairs.

Hence, the total is 17

Product A and Product D = 6*90 = 540

Product A and Product E = 5*120 = 600

Product B and Product D = 8 * 85= 680

Product B and Product E = 5 * 115=575

From the above table we can see that the answer is 5

Lowest selling pair is A-C with 2 customers.

Highest selling pair is B-D with 8 customers.

Only 115 buys both. Hence, the answer is 1.

Planned cost in chennai = 1032 * 250=258000

Actual cost in chennai = 1350 * 270 = 364500

Cost difference = (106500/258000)*100 = 41%

In Activity 1, 50% shortfall of planned and actual in Kanpur is 25. Excess in chennai is 25. Hence this activity is counted.

In Activity 2 there is no shortfall

In Activity 3, the 50% shortfall is 50. Excess in chennai is 28. Hence this is incorrect

In Activity 4 and 5 there is no shortfall

In Activity 6 the 50% shortfall is 25. Excess in Chennai is 78. Hence, this activity is counted.

ACtivity 1 : 50/100 * 100 = 50%

Activity 3 : 100/150 *100= 66.6%

Activity 4 : 50/100 *100 = 50%

Activity 5 = 50/250 * 100 = 20%

Activity 3 is the correct answer.

Chennai has more planned operational hours in Activity 2 and 6.

Yellow - Delhi : 70.75             ;      Yellow - Mumbai : 66.

Blue - Delhi     : 83.25             ;      Blue - Mumbai    :76.75

Black - Delhi    :67                  ;       Black - Mumbai  :92.5

Red -  Delhi      :77.75             ;      Red - Mumbai      :77.75.

Red has same average sales in both cities

S1- Delhi = 507        ;   S1- Mumbai = 543      ; Difference = 36

S2-Delhi =  506        ;   S2 - Mumbai=560        ; Difference = 54

S3 - Delhi =515         ; S3 - Mumbai = 154        ; Difference = 1

S4 - Delhi = 496         ; S4 - Mumbai =  554       ; Difference = 58.

Option D, S4 is the correct answer.

Red - Mumbai = 100*(76+89) + 120*(65+81)=34020

Red - Delhi     = 100 *(76+70) + 120*(70 + 95) = 34400

Green - Delhi =  100*(71+89) + 120*(92+65)  = 36040

Blue - Mumbai = 100*(94+64) +  120*(75+74) = 33680.

Maximum profit is with Green- Delhi

Red S2 = |70 - 89| = 19

Green S2 = |89-70| = 19

Yellow S1 = |50-69| = 19

Black S3 = |76-94| = 18.

Option (d) , Black S3 is the correct answer.

After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. There are two persons between business person and professor.

After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. If B is doctor, then A is professor.

After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. If C is uncle, then professor is grandfather.

After reading the sentences D,G,B, we get two cases with the following partially filled table

After filling in details with b and e we arrive at

Here, father/doctor has to sit between professor and sister. This is violated in first case. Hence, it is rejected.

The final arrangement is as given above. Director is the correct answer.

Option A is the correct answer

The answer is H.

From the diagram , we can infer that option C is the answer.

C travels for 7 floors on lift 2. It takes 3.5 minutes. Further it takes another .5 minutes at the 7th floor.Total of 4 minutes.

It travels another 3.5 minutes to the ground floor and spends 0.5 minutes halting at ground floor. Total of 8 minutes.

Now it travels for 5.5 minutes to the 11th floor. The question mentions that it halts for an extra 0.5 minutes. Therefore it takes 6 minutes. Total of 14 minutes.

Answer therefore is 9:14.

The lift is at the 6th floor. It takes 1 minute to reach 8 th floor. Further it stops for 30 seconds here.
It climbs down 8 floors. It takes 4 minutes for the same. It takes 30 seconds to halt at ground floor. Now it travels 2 floors to second floor in 1 minute. Totally it takes 7 minutes. 

Therefore B reaches office at 9:15, which is his office start time. He can therefore leave office is 8 hours 30 minutes which is 5:45

We know that x+x/2+k+3+3k-6+10+7=70

$$\frac{\ 3x}{2}$$ +4k =56

The solutions possible are x=24, k=5 and x=32 and k=2. But if k=2 then, only finance and hr would have 0. This is not possible as the question states that there exists employees in all possible combinations.

The number of employees in only marketing and HR is 5.

We know that x+x/2+k+3+3k-6+10=70

$$\frac{\ 3x}{2}$$ +4l =56

The solutions possible are x=24, k=5 and x=32 and k=2. But if k=2 then, only finance and hr would have 0. This is not possible as the question states that there exists employees in all possible combinations.

Finance has 31 people.

63 = $$4^3-1$$
215=$$6^3-1$$
511=$$8^3-1$$
999=$$10^3-1$$

Similarly, the required answer is $$12^3-1$$= 1727

Step 5 would be : cannot sorry feel him but for one.

Step 6 would be : sorry cannot him feel one for but.

If the step 6 was: the best way of promoting our nation

"sorry" the first word in the 6th step was at the 5th position in the sentence. 

Similarly "the" must be at the 5th position. Only sentence 3 has "the" in the 5th position. Hence, it is the correct answer.

Step 5 is          : cannot sorry feel him but for one.

Instead it is      :weeks of tepid slothful and weak performance

Step 6 would be:of weeks slothful tepid performance weak and

Option B is the correct answer.