# 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.

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

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

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

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 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

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

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

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

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

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

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. $\frac{100^2}{x}\\$ 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 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 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 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. $\sqrt{3}\\$ 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 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

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, ∞)

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 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 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 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

23. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

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

1. diameter
3. area
4. midpoint

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?

3. 5(4.1)
4. 5(4.2)

39. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

18800 / 470 / 20

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

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. $\frac{8}{27}\\$ 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 ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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