IIFT 2012 Question Paper

Initially in the 10L solution there is 1.5L sugar and 8.5L water.
We know that:-
Final volume of sugar = Initial volume of sugar*(Volume of solution that is not drawn out/total volume of solution)$$^n$$
 i.e $$1 = 1.5*(\dfrac{10-x}{10})^2$$ Where x is the volume of the solution drawn out.
Thus, $$200 = 3*(10^2 - 20x + x^2)$$
Solving we get x $$\approx 1.873$$
The closest value in the option is option D.
Thus, option D is the correct answer.

The number of quadrilaterals that can be made using any 4 points out of total 8 points on the given circle = $$^8C_4$$ = 70
The number of triangle that can be made using any 4 points out of total 8 points on the given circle = $$^8C_3$$ = 56
Thus, the required difference = 70-56 = 14
Hence, option B is the correct answer.

Hypotenuse = 97 m and perimeter = 234 m
Let the other two sides be $$a$$ m and $$b$$ m.$$
So, $$a + b = (234 - 97)$$ m = 137 m...........(i)
Also, by Pythagoras Theorem, $$a^2 + b^2 = 97^2$$
Or, $$(a + b)^2 - 2ab = 9409$$
Or, $$2ab = 137^2 - 9409$$
Or, $$2ab = 9360$$........(ii)
$$(a - b)^2 = a^2 + b^2 - 2ab$$ = $$97^2 - 9360$$ = 49
So, $$(a - b)$$ =  7 [Assuming $$a > b$$]..........(iii)
Solving (i) and (iii), we get
$$a = 72$$m and $$b = 65$$m
Hence, option B is the correct answer.

A:B = B:C = C:D = 3:4
Let C be 3x and D be 4x
B : C = 3 : 4 and C = 3x So, B = 9x/4
A : B = 3 : 4 and B = 9x/4 So, A = 27x/16
Therefore, A : B : C : D is 27x/16 : 9x/4 : 3x : 4x
Also, A + B + C + D = Rs.  1400
On solving, we get x = 128
Therefore, C's share = 3x = Rs. 384
Hence, option D is the correct answer.

I, III and V form a pair as they are the examples to what the author is describing.
V follows I and III as it starts with perhaps and thus, has to have some examples preceding it.
II and IV follow a mandatory pair where IV follows II as IV talks about what is given in II.
Now II and IV follows I, III and V as the "examples" talked about in II are I, III and V.
Between I and III, I will precede III as in IV the author says, "I have not spoken of books that grip you emotionally, of plays and movies that keep you on the edge of your seat in surprise, or of food that satisfies a ravenous hunger".
The order in which is goes is books, movies and plays and then food.
This is the order in I, III and V.
Thus, the correct sequence is I, III, V, II, IV
Hence, option D is the correct answer.

II is the opening statement of the given paragraph as it talks about how ITC solved the problems which is mentioned in the remaining paragraphs.
III follows II as it then goes into particulars of what is given in II.
Between IV and V, IV will follow V as IV starts with also and thus, it is most likely be the end of the examples.
I is the obvious closing statement as it gives the effect of what solutions used by ITC.
Thus, the correct sequence is II, III, V, IV and I.
Hence, option D is the correct answer.

We know that the adverb 'gradually' modifies 'spread' . Thus, 'gradually' should come after 'spread' and not before 'thought'
But in B the reverse is the case and thus, option B is incorrect.
Now, the adverbial phrase, 'through an orderly process' also modifies 'spread' and should be placed it after that. This is not the case either in C or D
In Both C and D it modifies 'thought' which is incorrect.
Thus, only option A is correct.                                       

From the context of the given sentences we can understand that the given sentence is a comparative advice.
It advises someone to learn to invoke and to recognize as his/her ancestors did.
The structure given in B and D is 'He must learn as they learnt' which is incorrect as the correct structure should be 'He must learn to recognize as they did'.
In A we are given that  'as did the ancient in India centuries ago'. This is unclear as we not sure what 'it' here is referring to. It may either mean invoke or recognize.
Thus, only option B is correct.  

'Indefatigable' means 'tireless' whereas 'inveterate' means 'having a particular habit, activity, or interest that is long-established and unlikely to change' i.e 'habitual' 
Thus, option A and B can be eliminated.
Between option C and D. Impoverished in D means 'make (a person or area) poor' which is different from tireless.
Thus, option C is the correct answer.

Misanthrope is someone who hates the whole humanity.
The second word given is humanity. Thus, the relation between the given words is - 1st word will describe the hate for the second word.
Among the given option only option B satisfies this condition and is thus the right answer.
In Chauvinist: Patriot here Chauvinist is someone who expresses aggressive patriotism and thus is opposite of our condition.
In Agnostic: God, Agnostic is someone who believes that there is no proof that God does not exist. This does not mean he hates God he just doubts his existence. Thus, this is not the right answer.
Witch: Magic  is exactly opposite of our condition and hence cannot be the right answer.
Hence, option B is the correct answer.