IIFT 2019 Question Paper | IIFT Quants

IIFT Quantitative Aptitude | IIFT 2019 Question Paper

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2019 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

  1. IIFT 2019 Question Paper - Speed, Time & Distance

    You travel by Delhi Metro every day from Botanical Garden, Noida to Hauz Khas, Delhi. At Hauz Khas metro station, you use an escalator to get out of the station. The escalator takes 80 seconds. One day, the escalator was not working and you walk up the escalator in 50 seconds. How many minutes does it approximately take you to walk down the working escalator?

    1. 1.5 Minutes
    2. 2.2 Minutes
    3. 2.8 Minutes
    4. 2.6 Minutes

  2. IIFT 2019 Question Paper - Geometry

    If the co-ordinates of orthocentre and the centroid of a triangle ABC are (-5, 7) and (5, 5), then the circumcentre of the triangle ABC is :

    1. (25,1)
    2. (10,4)
    3. (-5,2)
    4. (0,6)

  3. IIFT 2019 Question Paper - Work

    A group of women in a society decided to execute interior and exterior decoration of the society in a week's time. Since 11 women dropped out every day from the second day, the entire decoration was completed on 12th day. How many women participated at the beginning ? (Answer to the nearest integer)

    1. 137
    2. 141
    3. 145
    4. 148

  4. IIFT 2019 Question Paper - Percentages

    Joseph is in a dilemma. He has been offered a job which would pay him Rs 80,000 per month for first three years and Rs 1,20,000 per month for the next three years, and Rs 1,50,000 per month for the remaining four years. He has also been offered an MBA at a prestigious place and he is considering whether to accept the job or go for the MBA. The first year tuition fee for the MBA program is Rs 16,00,000 and the second year tuition fee for the MBA program is Rs 20,00,000. After MBA, he'll get a salary of Rs 2,00,000 per month for the first four years and then Rs 2,50,000 per month for the remaining four years. What will be the approximate percentage gain for Joseph in opting for the MBA instead of the job in the 10 years horizon considering no discounting of money?

    1. 23
    2. 25
    3. 27
    4. 29

  5. IIFT 2019 Question Paper - Geometry

    AB is the tangent on the circle at point A. The line BC meets the circle at points C and E. Line AD bisects the angle EAC. If angle EAC =60 degree and angle BAC : angle ACB = 2: 5. Find angle ABC :

    circle with a tangent
    1. 40
    2. 60
    3. 30
    4. None of the above

  6. IIFT 2019 Question Paper - Perentages

    KBC restaurant chain regularly conducts survey of its customers. The customers are asked to rate the food quality, service and price as Excellent, Good and Fair. Customers are also asked whether they would comeback. It was found that 76% of customers say that they will come back. Amongst those who say that they will come back, 57% rate the restaurant as Excellent, 36% rate it as Good and remainder rate it as Fair. Of those who say that they will not return, the respective values are 14%, 32% and 54%. What percentage of customers rated the restaurant as good?

    1. 27.4%
    2. 35%
    3. 51%
    4. 10

  7. IIFT 2019 Question Paper - Combinatorics

    Four couples are to be seated in a circular table such that each couple sits together. In how many ways they can sit such that two males sit to the right of their female partners and the other two males sit to the left of their female partners?

    1. 36
    2. 288
    3. 1440
    4. 720

  8. IIFT 2019 Question Paper - Percentages&Profits

    An E-rickshaw owner makes 24 trips a month with 4 passengers per trip. If his interest cost for purchase of E-rickshaw is Rs 120/month, he earns 15 percent profit a month (Profit is the difference between revenue and cost). What will be the approximate percentage profit for the same month if the owner undertakes 20 trips a month with 5 passengers and his interest cost is reduced by 10 percent for the month? Assume:
    (a) Total cost to be proportional to the interest cost.
    (b) Revenue per passenger is the same in both cases.

    1. 33.33
    2. 66.67
    3. 72
    4. 100

  9. IIFT 2019 Question Paper - Set Theory

    400 students were admitted to the 2018-19 MBA batch. 200 of them did not choose “Business Statistics”.100 of them did not choose “International Management'. There were 80 students who did not choose any of the two subjects. Find the number of students who chose both Business Statistics and International management.

    1. 180
    2. 220
    3. 280
    4. 300

  10. IIFT 2019 Question Paper - Time and Distance

    A motorboat takes the passengers from Rishikesh to Haridwar and back. Both the cities, Rishikesh and Haridwar are located on the banks of River Ganga. During Kumbh Mela ,to earn more money, the owner of the motorboat decided to have more trips from Rishikesh to Haridwar and back, so he increased the speed of the motorboat in still water, by 50%. By increasing the speed, he was able to cut down the travel time from Rishikesh to Haridwar and back, by 60%. What is the ratio of the speed of motorboating still water to that of the speed of river Ganga?

    1. √ \\frac{11}{6})
    2. \\frac{√3}{2})
    3. \\frac{√3}{7})
    4. \\frac{√11}{9})

  11. IIFT 2019 Question Paper - Averages

    A cricket team has 11 players and each of them has played 20 matches till date. Virat, Rohit, Mahendra, Rahul and Shikhar have scored runs at an average of 60, 55, 50, 45 and 40 respectively. Rest of the players have scored at an average of 25 each. In the next 10 matches, Virat and Rohit each scored 900 runs whereas Mahendra scored twice that of Rahul. After 30 matches, if Virat's new average score is twice that of Rahul, what is the approximate average score of Mahendra?

    1. 49
    2. 41
    3. 43
    4. 45

  12. IIFT 2019 Question Paper - Pipes and Cisterns & Powers

    Rohit purchased a cistern which had a leakage. The cistern can be filled by two inlet pipes, which can individually fill the cistern in 12 min and 15 min respectively. Despite leakage, the two inlet pipes together can fill the cistern in 20 min. How long will it take to empty the completely full the cistern due to leakage?

    1. 10
    2. 12
    3. 15
    4. 16

  13. IIFT 2019 Question Paper - Geometry

    In a triangle, the two longest sides are 13 cm and 12 cm. The angles of the triangle are in arithmetic progression. The radius of the circle inscribed in this triangle is :

    1. √3-1cm
    2. √3cm
    3. 2cm
    4. 1cm

  14. IIFT 2019 Question Paper - Mensuration

    Consider a cuboidal underground tunnel of length 500 m whose cross-section is given in the figure. If 1 cubic meter of concrete costs 1000 rupees, find the amount of money needed to build the Tunnel.

    volume of concrete for tunnel
    1. 8(4-π)106 Rs
    2. 64(4-π)106 Rs
    3. 16(4-π)106 Rs
    4. 32(4-π)106 Rs

  15. IIFT 2019 Question Paper - Geometry

    In triangle MNL,line NP bisects the angle MNL. If NP : NL = 2 : 3 and angle MNL= 120 degrees . Then NP: NL: MN is:

    Triangle, angle bisector
    1. 2:3:4
    2. 2:3:6
    3. 2:3:5
    4. 2:3:9

  16. IIFT 2019 Question Paper - Heights & Distances

    A man standing on the line joining the two poles finds that the top of the poles make an angle of elevation of 60° and 45° respectively. After walking for sometime towards the other pole, the angles change to 30° and 60° respectively. The ratio of the height of the poles is :

    1. \\frac{√3-1}{2})
    2. \\frac{√3+1}{3})
    3. \\frac{√3-1}{4})
    4. \\frac{√3+1}{4})

  17. IIFT 2019 Question Paper - Clocks

    At what time between 2.00 pm and 3.00 pm ,the two arms of a watch are completely opposite to each other?

    1. 2:40 PM
    2. 2:44 PM
    3. 2:45 PM
    4. 2:50 PM

  18. IIFT 2019 Question Paper - Quadratic Equations

    Consider this equation: |x-5|2 + 5|x-5| - 24 = 0 . The some of all the roots of the above equation is:

    1. 2
    2. 3
    3. 8
    4. 10

  19. IIFT 2019 Question Paper - Mixtures

    A square of length 1 m is inside a square of length 2 m and four quarter circles are joined as shown in the figure. The value of (y -x) is given by

    Square and Quarter Circles
    1. \\frac{8 - π}{10})
    2. \\frac{(4 - π)}{5})
    3. \\frac{(2π - 1)}{8})
    4. \\frac{(π - 3)}{4})

  20. IIFT 2019 Question Paper - Numbers

    The number 37371 - 26371 is divisible by

    1. 10
    2. 11
    3. 12
    4. 15

  21. IIFT 2019 Question Paper - Arithmetic

    If X = 8 - &sqrt; 32 and Y = 2 + &sqrt; 2 then (X+1/Y)2 is given by

    1. \\frac{16}{25}) x2
    2. \\frac{64}{81}) x2
    3. \\frac{25}{16}) x2
    4. \\frac{81}{64}) x2

  22. IIFT 2019 Question Paper - Probability

    According to birth registration data available with the South Delhi Municipal Corporation,7 babies were born in a particular week in a private hospital. What is the probability that three babies were born on the same day of the week?

    1. \\frac{1800}{7^{5}})
    2. \\frac{1600}{7^{7}})
    3. \\frac{2100}{7^{7}})
    4. \\frac{2400}{7^{5}})

  23. IIFT 2019 Question Paper - Percentages

    Nawab has two sons Saif and Amir who have export businesses. Nawab's satisfaction/ utility level is given by adding twice of the satisfaction level of Saif with the satisfaction level of Amir. If Saif makes a profit of Rs 100, his satisfaction level goes up by 10% and if he suffers a loss of Rs 100, his satisfaction level goes down by 10%. If Amir makes profit of Rs 100, his satisfaction level goes up by 5% and if he suffers a loss of Rs 100, his satisfaction level goes down by 15%. Currently, Nawab's satisfaction level is 24 and the satisfaction level of Saif is the same as the satisfaction level of Amir. If Saif makes a profit of 100 and Amir suffers a loss of Rs 100, what is the approximate percentage change in Nawab's satisfaction level?

    1. 1.25%
    2. 1.33%
    3. 1.5%
    4. 1.66%

  24. IIFT 2019 Question Paper - Simple Interest & Compound Interest

    Monika buys a Samsung's 360 litre refrigerator from M/s Coldrush Agencies for Rs 42,000. She makes a down payment of Rs 12,000 and the remaining amount in 4 equal half yearly instalments. If M/s Coldrush Agencies charge an interest of 10% per annum, approximately what amount Monika has to pay every six month?

    1. 8230 Rs
    2. 8600 Rs
    3. 8460 Rs
    4. 8620 Rs

  25. IIFT 2019 Question Paper - Simple Interest & Compound Interest

    Ms. Debjani after her MBA graduation wants to have start-up of her own. For this, she uses Rs 8,00,000 of her own savings and borrows Rs 12,00,000 from a public sector bank under MUDRA Scheme. As per the agreement with the bank,she is supposed to repay the principle of this loan equally over the period of the loan which is 25 years. Two years after taking the first loan, she borrowed an additional loan of Rs 8,00,000 to finance expansion plan of her start-up. If Ms Debjani clears all her loans in 25 years from the date of taking the first loan, how much total interest she has to pay on her initial borrowing? Assume simple interest rate at 8 per cent per annum.

    1. 12,48,000 Rs
    2. 12,84,000 Rs
    3. 14,20,000 Rs
    4. 12,96,000 Rs

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