2023 2024 Student Forum > Management Forum > Main Forum

 
  #2  
5th May 2016, 01:13 PM
Super Moderator
 
Join Date: Aug 2012
Re: Sample Question Paper for IIFT

Hello, here I am providing you the sample paper of the IIFT entrance exam of previous years as under:

If the sum of the roots of the quadratic equation px2+ qx + r = 0 is equal to the sum of the squares of their reciprocals, mark all the correct statements.
a. r/p, p/q and q/r are in A. P.

b. p/ r, q/p and r/q are in G. P.

c. p/r, q/p and r/q are in H. P.

d. p/r, q/p and r/q are in A. P.

A trader forms a mixture of cement and sand weighing 40 kgs. In the mixture, cement and sand are in the ratio of 4 : 1 in weight terms. Later, when he adds more sand to the mixture, the new ratio becomes 4 : 3. Given this, mark all the correct statements.

a. The second mixture formed is one and a half times heavier than the original mixture.

b. In order to arrive at the second mixture, the trader had to add a quantity of sand weighing 16 kg.

c. Had the original mixture been in the ratio of 8 : 3, the weight of the sand in the original mixture would have been 12 kg.

d. If the trader sells 7 kg of the second mixture formed by him, and adds 11 kg of a new mixture of cement and sand in the ratio 7 : 4 to the residual, then the new ratio of cement to sand will become 7 : 5.

The area of an isosceles triangle is 12 sq. cm. If one of the equal sides is 5 cm long, mark all the options which can give the length of the base.

a. 4 cm

b. 6 cm

c. 8 cm

d. 9 cm

Joshi has purchased a small shop in a city by paying an amount of Rs. 20,000. He decides to

decorate the shop before starting business for which he spends Rs. 8,000 in the first month and Rs.

2,000 in the next month. However, at the beginning of the third month, he gets a good offer from

Wadhwa and sells she shop to him at a profit of 20 percent. Wadhwa shortly afterwards decides that he will be better off by doing business in another location and decides to sell the shop back to Joshi. Given this, mark all the correct options.

a. If Wadhawa loses a total of Rs. 7,200, his loss is not more than 20%.

b. If Joshi had originally purchased the shop at Rs. 14,000, then by selling the shop to Wadhwa at

the same price, he could have made a profit of 50%.

c. If Joshi had sold the shop to Wadhwa at a profit of 40%, his monetary gain would have been Rs. 12,000.

d. If Joshi had sold the shop to Wadhwa at a profit of 40%, and Wadhwa sold the shop back to him at a loss of 40%, then Joshi would have acquired the shop with a net investment of Rs. 13,200.

In a pizza stall, Ajay and Mohan, being the lucky customers, were given the option of drawing tickets from a pot containing x number of tickets for the knife throwing show and y number of tickets for the talking-doll show. Both Ajay and Mohan being excited about the knife-throwing show, start drawing tickets from the pot until they get one for the show, replacing any drawn ticket for the talking-doll show in the pot. Ajay draws the ticket first, followed by Mohan.Given this, mark all the correct options.

a. If the probability of Ajay first getting a ticket for the knife-throwing show is four times that for Mohan, the ratio between x and y is 3 : 1

b. If the probability of Ajay first getting a ticket for the knife-throwing show is five times that for Mohan, the ratio between y and x is 1 : 4

c. If the probability of Ajay first getting a ticket for the knife-throwing show is two times that for Mohan, the ratio between x and y is 1 : 1

d. If the probability of Mohan first getting a ticket for the knife-throwing show is six times that for Ajay, the ratio between x and y is 5 : 1

Ranjan goes to a countryside lake for a boat ride. Standing at the ferry counter, he looked at the

opposite bank and observed a tall tower on a hill downstream, the angle of elevation being 45°.

Ranjan comes to know from the bystanders that the tower is a historical ruin and decides to visit it.

The boat takes him directly to the opposite bank, from where the angle of elevation to the top of the

tower becomes 60°. While exploring the site, he comes to know that the combined height of he

tower and the hill is 300 m. If the speed of the boat by which Ranjan travelled was 2 km/hr in still

waters, mark all the correct observations.

a. It took Ranjan 3 6 minutes to cross the lake by the boat.

b. The breadth of the lake is 100 6 m .

c. It took A. Ranjan 4 3 minutes to cross the lake by the boat.

d. If the combined height of the hill and the tower was 450 m and the speed of the boat was 1 km/

hr (the angles of elevation remaining unchanged), the time taken by Ranjan to cross the lake by boat would have been 9 6 minutes.


Sunil goes to small city in Europe on vacation, where he enjoys walking along the streets in the

afternoon. He observes that there are 6 parallel roads running East - West and 5 parallel roads

running North-South in the city. In order to observe the landmarks in the city, he takes different

routes every time he goes out. He also observed that the distance between every consecutive pair

of roads is equal. Given this, mark all the correct options.

a. The number of shortest possible routes that Sunil can take to travel from one corner of the city

to the other diagonal end is 126.

b. The total number of possible routes that Sunil can take to travel from one corner of the city to the

other diagonal end is 196.

c. The number of rectangles that can be formed with their sides along the roads is 150.

d. If the number of parallel roads running East-West and North - South increase by one each, the

number of shortest possible routes that Sunil can take to travel from one corner of the city to the

other diagonal end would go up by 336.

Here I am providing you the paper as under:
Attached Files
File Type: pdf IIFT exam paper.pdf (948.5 KB, 80 views)


Quick Reply
Your Username: Click here to log in

Message:
Options

Thread Tools Search this Thread



All times are GMT +5. The time now is 11:34 PM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.
SEO by vBSEO 3.6.0 PL2

1 2 3 4