IPM Sample Paper 2020 | IPM Rohtak Quants

IPMAT Sample Paper | IPMAT Question Paper

IPMAT 2020 Sample Paper Rohtak Quants. Solve questions from IPMAT 2020 Sample 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.

    IPM Rohtak Quants : Pie Charts

    IPM Rohtak Quants : Pie Charts


    IPM Rohtak Quants : Table
  1. IPMAT 2020 Sample 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
    Choice E
    None of these

  2. IPMAT 2020 Sample 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
    Choice A
    25 kmph

  3. IPMAT 2020 Sample 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
    Choice C
    9

  4. IPMAT 2020 Sample 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
    Choice D
    6 hrs 15 min

  5. IPMAT 2020 Sample 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
    Choice E
    None of these

  6. IPMAT 2020 Sample 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
    Choice A
    122 Litre

  7. IPMAT 2020 Sample 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
    Choice B
    4 Months

  8. Use the figure below to answer questions 8 through 9.

    IPM Rohtak Quants : Circles
  9. IPMAT 2020 Sample 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
    Choice B
    112.5 \\pi\\)

  10. IPMAT 2020 Sample 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
    Choice B
    1:4

  11. IPMAT 2020 Sample 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}\\)
    Choice D
    \\frac{100^2}{x}\\)

  12. IPMAT 2020 Sample 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
    Choice C
    100 km/hr

  13. IPMAT 2020 Sample 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
    Choice B
    Rs 2550

  14. IPMAT 2020 Sample 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
    Choice A
    RS 28.8/dozen

  15. IPMAT 2020 Sample 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}\\)
    Choice A
    \\frac{1}{2}\\)

  16. IPMAT 2020 Sample 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
    Choice D
    4 hours

  17. IPMAT 2020 Sample 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
    Choice A
    |c| > √2|b|

  18. IPMAT 2020 Sample 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, ∞)
    Choice B
    (-∞, -√2) ∪ (√2, ∞)

  19. IPMAT 2020 Sample 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
    Choice A
    1

  20. IPMAT 2020 Sample 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
    Choice A
    1.12cm

  21. IPMAT 2020 Sample 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
    Choice A
    44

  22. IPMAT 2020 Sample 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
    Choice D
    A is larger than B by 1

  23. IPMAT 2020 Sample Paper - IPM Rohtak Quants

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

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

  24. IPMAT 2020 Sample 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}\\)
    Choice D
    \\frac{2}{35}\\)

  25. IPMAT 2020 Sample 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
    Choice B
    \\frac{400}{27}\\) hrs

  26. IPMAT 2020 Sample 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
    Choice C
    10 : 15 : 6

  27. IPMAT 2020 Sample 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
    Choice C
    440

  28. IPMAT 2020 Sample Paper - IPM Rohtak Quants

    What decimal of an hour is a second?

    1. .00028
    2. .00027
    3. .00026
    4. .00025
    Choice B
    .0027

  29. IPMAT 2020 Sample 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}\\)
    Choice C
    \\frac{7}{1250}\\)

  30. IPMAT 2020 Sample 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
    Choice C
    40

  31. IPMAT 2020 Sample Paper - IPM Rohtak Quants

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

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

  32. IPMAT 2020 Sample 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
    Choice A
    144√3 - 48π cm2

  33. IPMAT 2020 Sample 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
    Choice A
    33 seconds

  34. IPMAT 2020 Sample 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
    Choice C
    9 years

  35. IPMAT 2020 Sample 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
    Choice A
    4 Months

  36. IPMAT 2020 Sample 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
    Choice D
    50 days

  37. IPMAT 2020 Sample 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
    Choice C
    1 hr 15 min

  38. IPMAT 2020 Sample 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)
    Choice D
    5(4.2)

  39. IPMAT 2020 Sample Paper - IPM Rohtak Quants

    18800 / 470 / 20

    1. 1
    2. 2
    3. 3
    4. 4
    Choice B
    2

  40. IPMAT 2020 Sample 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}\\)
    Choice A
    \\frac{2}{27}\\)

  41. IPMAT 2020 Sample 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
    Choice A
    \\frac{5}{2}\\)

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