IPM Question Paper 2019 | IPM Rohtak Quants

IPMAT 2020 Sample Paper Rohtak Quants. Solve questions from IPMAT 2019 Question paper from IPM Rohtak and check the solutions to get adequate practice.

Directions (1-5): Study the data given below and answer the following questions. The pie charts shown below shows the distance covered by a boat moving upstream and downstream indifferent days of a week. And the table shows the speed of stream in km/hr. in different days of a week.





1. IPMAT 2019 Question paper - IPM Rohtak Quants

   If the time taken by boat to travel upstream on Wednesday is \\frac{6}{7}\\) times than the time taken to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph then find the speed of boat in still water on Wednesday? ( speed of boat in still water is different for different days)

   1. 52 kmph
   2. 62 kmph
   3. 42 kmph
   4. 48 kmph
   5. None of these

   Correct AnswerChoice E
   None of these

   Explanation Video Solution

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2. IPMAT 2019 Question paper - IPM Rohtak Quants

   If the time taken by boat to travel upstream on Monday is 27\\frac{1}{5}\\) hrs. more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday ?(speed of boat in still water is same in upstream as in downstream)

   1. 25 kmph
   2. 18 kmph
   3. 20 kmph
   4. 15 kmph
   5. None of these

   Correct AnswerChoice A
   25 kmph

   Explanation Video Solution

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3. IPMAT 2019 Question paper - IPM Rohtak Quants

   If the speed of boat in still water on Saturday was 27 km/hr and the speed of boat in still water on Wednesday was 66\\frac{2}{3}\\)% more than that of Saturday and time taken to travel upstream on Wednesday is \\frac{16}{13}\\) times than time taken by it to travel downstream on Saturday, then find the speed of stream (in kmph) on Saturday?

   1. 2
   2. 4
   3. 9
   4. 8
   5. None of these

   Correct AnswerChoice C
   9

   Explanation Video Solution

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4. IPMAT 2019 Question paper - IPM Rohtak Quants

   The speed of boat in still water on Saturday was 21 km/hr. and that on Sunday was 28\\frac{4}{7}\\)% more than that on Saturday, if the time taken by boat to travel upstream on Saturday is 2\\frac{1}{2}\\) times the time taken to travel downstream on Sunday, then find the time taken by the boat to cover a distance of 125 km upstream on Saturday?

   1. 6 hrs 45 min
   2. 2 hrs 45 min
   3. 4 hrs 30 min
   4. 6 hrs 15 min
   5. None of these

   Correct AnswerChoice D
   6 hrs 15 min

   Explanation Video Solution

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5. IPMAT 2019 Question paper - IPM Rohtak Quants

   If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday? (speed of boat in still water is different on different days)

   1. 27 kmph
   2. 22 kmph
   3. 20 kmph
   4. 25 kmph
   5. None of these

   Correct AnswerChoice E
   None of these

   Explanation Video Solution

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6. IPMAT 2019 Question paper - IPM Rohtak Quants

   A Container contains X Litres of Milk. A thief stole 50 Litres of Milk and replaced it with the same quantity of water. He repeated the same process further two times. And thus Milk in the container is only X-122 litres. Then what is the quantity of water in the final mixture?

   1. 122 Litre
   2. 124 Litre
   3. 128 Litre
   4. 250 Litre

   Correct AnswerChoice A
   122 Litre

   Explanation

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7. IPMAT 2019 Question paper - IPM Rohtak Quants

   Veena has to pay Rs. 2460 to Sita, 5 Months later at 6% SI per annum, and Gita has to pay Sita same amount at 7.5% SI per annum after certain months. If both took the same amount of loan from Sita then Gita paid loan after how many months?

   1. 3 Months
   2. 4 Months
   3. 6 Months
   4. 12 Months

   Correct AnswerChoice B
   4 Months

   Explanation Video Solution

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Use the figure below to answer questions 8 through 9.




8. IPMAT 2019 Question paper - IPM Rohtak Quants

   What is the area of the shaded figure?

   1. 56.25π square feet
   2. 112.5π square feet
   3. 225π square feet
   4. 337.4π square feet

   Correct AnswerChoice B
   112.5 \\pi\\)

   Explanation

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9. IPMAT 2019 Question paper - IPM Rohtak Quants

   What is the ratio of the area of Circle M and the area of Circle K?

   1. 1 : 8
   2. 1 : 4
   3. 1 : 2
   4. 1 : 1

   Correct AnswerChoice B
   1:4

   Explanation

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10. IPMAT 2019 Question paper - IPM Rohtak Quants

    If x% of y is equal to z then what percentage of z is x?

    1. \\frac{y^2}{100}\\)
    2. \\frac{x^2}{100}\\)
    3. \\frac{100^2}{y}\\)
    4. \\frac{100^2}{x}\\)

    Correct AnswerChoice D
    \\frac{100^2}{x}\\)

    Explanation Video Solution

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11. IPMAT 2019 Question paper - IPM Rohtak Quants

    Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, speed of train B falls by a quarter. So it takes 30 minutes more than Train A to complete the same journey. Find the speed of Train A.

    1. 120 km/hr
    2. 110 km/hr
    3. 100 km/hr
    4. 90 km/hr

    Correct AnswerChoice C
    100 km/hr

    Explanation Video Solution

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12. IPMAT 2019 Question paper - IPM Rohtak Quants

    One Trader calculates the percentage of profit on the buying price and another calculates on the selling price. When their selling prices are same, then the difference of their actual profit is Rs 85 and both claim to have made 20% profit. What is the selling price for each?

    1. Rs 3000
    2. Rs 2550
    3. Rs 2800
    4. Rs 4000

    Correct AnswerChoice B
    Rs 2550

    Explanation Video Solution

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13. IPMAT 2019 Question paper - IPM Rohtak Quants

    Due to increase of 20% in the price of eggs, 2 eggs less are available for Rs 24.The present rate of
    eggs per dozen is

    1. Rs 28.8/dozen
    2. Rs 24.8/dozen
    3. Rs 25.8/dozen
    4. Rs 30/dozen

    Correct AnswerChoice A
    RS 28.8/dozen

    Explanation Video Solution

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14. IPMAT 2019 Question paper - IPM Rohtak Quants

    sin\\frac{13π}{6}\\) = ?

    1. \\frac{1}{2}\\)
    2. \\frac{1}{\sqrt{2}}\\)
    3. \\frac{1}{\sqrt{3}}\\)
    4. \\sqrt{3}\\)

    Correct AnswerChoice A
    \\frac{1}{2}\\)

    Explanation Video Solution

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15. IPMAT 2019 Question paper - IPM Rohtak Quants

    Fruits were purchased for Rs 350. 9 boys ate \\frac{3}{5}\\)^th of them in 2 hours. 6 boys feel their stomach as full so do not eat further. In how many hours the remaining fruits will get finished by remaining boys?

    1. 2 hours
    2. 3 hours
    3. 5 hours
    4. 4 hours

    Correct AnswerChoice D
    4 hours

    Explanation Video Solution

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16. IPMAT 2019 Question paper - IPM Rohtak Quants

    If minimum value of f(x) = x² + 2bx + 2c² is greater than the maximum value of g(x) = -x² - 2cx + b², then for real value of x.

    1. |c| > √2|b|
    2. √2|c| > b
    3. 0 < c < √2b
    4. no real value of a

    Correct AnswerChoice A
    |c| > √2|b|

    Explanation Video Solution

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17. IPMAT 2019 Question paper - IPM Rohtak Quants

    The set of all real numbers x for which x² - |x + 2 |+ x > 0, is

    1. (-∞, -2) ∪ (2, ∞)
    2. (-∞, -√2) ∪ (√2, ∞)
    3. (-∞, -1) ∪ (1, ∞)
    4. (√2, ∞)

    Correct AnswerChoice B
    (-∞, -√2) ∪ (√2, ∞)

    Explanation Video Solution

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18. IPMAT 2019 Question paper - IPM Rohtak Quants

    What should come at the place of question mark? 46080, 3840, 384, 48, 8, 2, ?

    1. 1
    2. \\frac{1}{64}\\)
    3. \\frac{1}{8}\\)
    4. None of these

    Correct AnswerChoice A
    1

    Explanation Video Solution

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19. IPMAT 2019 Question paper - IPM Rohtak Quants

    A room has floor size of 15*6sq.cm. What is the height of the room , if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls ?

    1. 1.12cm
    2. 3.24cm
    3. 4.29cm
    4. 2.5cm

    Correct AnswerChoice A
    1.12cm

    Explanation Video Solution

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20. IPMAT 2019 Question paper - IPM Rohtak Quants

    The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

    1. 44
    2. 22
    3. 19
    4. None of the above

    Correct AnswerChoice A
    44

    Explanation Video Solution

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21. IPMAT 2019 Question paper - IPM Rohtak Quants

    Given A = 2⁶⁵ and B = (2⁶⁴ + 2⁶³ + 2⁶² + ... + 2⁰), which of the following is true?

    1. B is 2⁶⁴ larger than A
    2. A and B are equal
    3. B is larger than A by 1
    4. A is larger than B by 1

    Correct AnswerChoice D
    A is larger than B by 1

    Explanation Video Solution

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22. IPMAT 2019 Question paper - IPM Rohtak Quants

    A line from center to circumference of a circle is known as

    1. diameter
    2. radius
    3. area
    4. midpoint

    Correct AnswerChoice B
    radius

    Explanation Video Solution

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23. IPMAT 2019 Question paper - IPM Rohtak Quants

    A bag contains 4 blue, 5 white and 6 green balls. Two balls are drawn at random. What is the probability that one ball is white?

    1. \\frac{10}{21}\\)
       
    2. \\frac{1}{2}\\)
    3. \\frac{3}{4}\\)
    4. \\frac{2}{35}\\)

    Correct AnswerChoice D
    \\frac{2}{35}\\)

    Explanation Video Solution

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24. IPMAT 2019 Question paper - IPM Rohtak Quants

    Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.

    1. \\frac{400}{23}\\) hrs
    2. \\frac{400}{27}\\) hrs
    3. \\frac{200}{23}\\) hrs
    4. \\frac{200}{27}\\) hrs

    Correct AnswerChoice B
    \\frac{400}{27}\\) hrs

    Explanation Video Solution

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25. IPMAT 2019 Question paper - IPM Rohtak Quants

    Given ratio are a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4. Find a : b : c.

    1. 2 : 3 : 6
    2. 4 : 5 : 6
    3. 10 : 15 : 6
    4. 1 : 5 : 7

    Correct AnswerChoice C
    10 : 15 : 6

    Explanation Video Solution

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26. IPMAT 2019 Question paper - IPM Rohtak Quants

    If there are Rs 495 in a bag in denominations of one-rupee, 50 paisa and 25 paisa coins, which are in the ratio 1 : 8 : 16. How many 50 paisa coins are there in the bag?

    1. 50
    2. 220
    3. 440
    4. None of these

    Correct AnswerChoice C
    440

    Explanation Video Solution

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27. IPMAT 2019 Question paper - IPM Rohtak Quants

    What decimal of an hour is a second?

    1. .00028
    2. .00027
    3. .00026
    4. .00025

    Correct AnswerChoice B
    .0027

    Explanation

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28. IPMAT 2019 Question paper - IPM Rohtak Quants

    What will be vulgar fraction of 0.0056?

    1. \\frac{7}{1150}\\)
    2. \\frac{7}{1175}\\)
    3. \\frac{7}{1250}\\)
    4. \\frac{7}{1275}\\)

    Correct AnswerChoice C
    \\frac{7}{1250}\\)

    Explanation

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29. IPMAT 2019 Question paper - IPM Rohtak Quants

    One-fifth of a number is equal to \\frac{5}{8}\\)^th of another number. If 35 is added to the first number, it becomes four times of the second number. Find the second number.

    1. 39
    2. 70
    3. 40
    4. 25

    Correct AnswerChoice C
    40

    Explanation

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30. IPMAT 2019 Question paper - IPM Rohtak Quants

    If * = +, / = -, + = *, - = / then 43 * 561 + 500 - 100 / 10 = ?

    1. 3211
    2. 2388
    3. 2883
    4. 2838

    Correct AnswerChoice D
    2838

    Explanation

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31. IPMAT 2019 Question paper - IPM Rohtak Quants

    A circle is inscribed in an equilateral triangle of side 24 cm, touching its sides. What is the area of
    the remaining portion of the triangle?

    1. 144√3 - 48π cm²
    2. 121√3 - 36π cm²
    3. 144√3 - 36π cm²
    4. 121√3 - 48π cm²

    Correct AnswerChoice A
    144√3 - 48π cm²

    Explanation

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32. IPMAT 2019 Question paper - IPM Rohtak Quants

    A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is

    1. 33 seconds
    2. 30 seconds
    3. 36 seconds
    4. 27 seconds

    Correct AnswerChoice A
    33 seconds

    Explanation

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33. IPMAT 2019 Question paper - IPM Rohtak Quants

    John's present age is one fourth of his father's age two years ago. John's father's age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?

    1. 5 years
    2. 7 years
    3. 9 years
    4. 11 years

    Correct AnswerChoice C
    9 years

    Explanation

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34. IPMAT 2019 Question paper - IPM Rohtak Quants

    Raj invested Rs 76000 in a business. After few months Monty joined him and invests Rs 57000. At the end of the year, both of them share the profits at the ratio of 2:1. After how many months Monty joined Raj?

    1. 4 Months
    2. 7 Months
    3. 8 Months
    4. 12 Months

    Correct AnswerChoice A
    4 Months

    Explanation

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35. IPMAT 2019 Question paper - IPM Rohtak Quants

    Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q and R together can complete the work in 30 days then in how many days P alone can do the work?

    1. 52 days
    2. 42 days
    3. 30 days
    4. 50 days

    Correct AnswerChoice D
    50 days

    Explanation

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36. IPMAT 2019 Question paper - IPM Rohtak Quants

    A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

    1. 40 minutes
    2. 1 hour
    3. 1 hr 15 min
    4. 1 hr 30 min

    Correct AnswerChoice C
    1 hr 15 min

    Explanation

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37. IPMAT 2019 Question paper - IPM Rohtak Quants

    Simplification: \25^{(2.7)} \times 5^{(4.2)} \div 5^{(5.4)} = ?\\)

    1. 5⁴
    2. 5^(3.2)
    3. 5^(4.1)
    4. 5^(4.2)

    Correct AnswerChoice D
    5^(4.2)

    Explanation

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38. IPMAT 2019 Question paper - IPM Rohtak Quants

    18800 / 470 / 20

    1. 1
    2. 2
    3. 3
    4. 4

    Correct AnswerChoice B
    2

    Explanation

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39. IPMAT 2019 Question paper - IPM Rohtak Quants

    Find the HCF of \\frac{2}{3}, \frac{4}{6}, \frac{8}{27}\\)

    1. \\frac{2}{27}\\)
    2. \\frac{8}{3}\\)
    3. \\frac{2}{3}\\)
    4. \\frac{8}{27}\\)

    Correct AnswerChoice A
    \\frac{2}{27}\\)

    Explanation

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40. IPMAT 2019 Question paper - IPM Rohtak Quants

    If log 2, log (2x - 1) and log (2x + 3) are in A.P, then x is equal to ____

    1. \\frac{5}{2}\\)
    2. log₂5
    3. log₃2
    4. 32

    Correct AnswerChoice A
    \\frac{5}{2}\\)

    Explanation

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