IIFT 2016 Question Paper

The Chief Minister of a State and the Prime Minister of India are elected by the MLAs and MPs respectively elected by the people.
The President is  elected by an electoral college consisting of the members of both the houses of the Parliament. 
The Governor and lieutenant governors are selected by the President of India for a term of 5 years. Therefore, option C is the right answer. 

Bitcoin is a type of crytocurrency that is built on the block chain technology. Therefore, option B is the right answer. 

Shahrukh khan debuted in the film Deewana in the year 1992. 
Sushmita Sen debuted in the film Dastak in 1996. 
Aishwarya Rai Bachchan debuted in the film Aur Pyar Ho Gaya in the year 1997. 
Rani Mukherjee debuted in the film Raja Ki Ayegi Barat in the year 1996. 
Kareena Kapoor debuted in the Refugee in 2000. 

Therefore, option D is the right answer.

$$\frac{x-7}{x^2 + 5x-36}$$ > 0

$$\frac{x-7}{(x+9)(x-4)}$$ > 0

So $$x \epsilon (-9,4) U (7, \infty$$)

So smallest integer in this range is $$ x = -8$$.

Total distance covered by the ball will be = $$350+2(\frac{4}{5}*350+(\frac{4}{5})^{2}*350+(\frac{4}{5})^{3}*350+...)$$

                                                           = $$350+2*350(\frac{4}{5}+(\frac{4}{5})^{2}+(\frac{4}{5})^{3}+...)$$

                                                           = $$350+2*350(\frac{\frac{4}{5}}{1-\frac{4}{5}})$$

                                                           = $$350+2*350*4$$ =$$3150$$

                                    $$4log_7 (x - 8) = log_3 81$$

                                     $$4log_7 (x - 8) = log_3 3^{4}$$

                                     $$4log_7 (x - 8) =4*log_3 3$$

                                        $$log_7 (x - 8) =1$$

                                          $$(x - 8) =7^{1}$$

                                            $$x = 7+8$$

                                             $$x = 15$$

Total 5 students out of 4 boys and y girls can be chosen in two ways :

(1)  3 Boys and 2 Girls = $$4c_{3}*$$y$$c_{2}$$

(2)  4 Boys and 1 Girls = $$4c_{4}*$$y$$c_{1}$$

So total number of balls given to boys :

                       3*$$4c_{3}*$$y$$c_{2}$$+4*$$4c_{4}*$$y$$c_{1}$$ = 368

                            $$6(y)(y-1)+4y$$ = 368

                            6$$y^{2}-2y-368$$ = 0

                            3$$y^{2}-y-184$$ = 0

                            $$(y-8)(3y+23)$$ = 0

                            $$y=8$$,  y $$\neq$$ $$ \frac{-23}{3}$$

Let's check both the statements one by one:

(i) Two vowels together -  (2!)*(5!) = 2*120 = 240 

                                                

So we can say that statement (i) is wrong

(ii) Two vowel not together =  Total ways - Vowels together

                                       = (6!) - (2!)*(5!) = 720 - 240 = 480

hence statement (ii) is also incorrect. 

Let's assume farmer A has ‘x’ hectare land.

    $$\therefore$$ Total production of A = 20x

According to the information given to us B will have 'x+15' hectare land.

   $$\therefore$$ Total production of B = 30*(x+15)

Given that : Total production of B - Total production of A = 530

                             30*(x+15) - 20x = 530

                                         x = 8

    Thus, total production of A = 20*8 = 160 

Let the distance between Delhi and Noida is X km and Krishna's speed is d km/hr.

When they met for the first time, Distance covered by Krishna = d km 

                                                   Distance covered by Shruti = 2X-d km

So the ratio of speeds of Shruti and Krishna is 2X - d : d                                                  ...(1)

Between 1st and 2nd meeting,   Distance covered by Krishna = d/2 km 

So distance covered by Shruti will be  = (X-d)+(X-3d/2)= 2X-5d/2

So the ratio of speeds of Shruti and Krishna in this case will be 2X-5d/2 : d/2                  ...(2)

By equating (1) and (2)

                 $$\frac{2X - d}{d}$$  =  $$\frac{2X-5\frac{d}{2}}{\frac{d}{2}}$$

                             $$X=2d$$

Therefore the distance between Delhi and Noida is 2d and Krishna will take 2 hours to cover that distance with speed of d km/hr.