IPMAT 2019 | Past Year Question Paper

Instructions

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.

Question 1.

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

A

52 kmph

B

62 kmph

C

42 kmph

D

None of these

Question 2.

If the time taken by boat to travel upstream on Monday is $27\dfrac{1}{5}$ 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)

A

25 kmph

B

18 kmph

C

20 kmph

D

15 kmph

Question 3.

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 $66\dfrac{2}{3}\%$ more than that of Saturday and time taken to travel upstream on Wednesday is $16\dfrac{1}{3}$ times than time taken by it to travel downstream on Saturday, then find the speed of stream (in kmph) on Saturday?

A

2

B

4

C

9

D

8

Question 4.

The speed of boat in still water on Saturday was 21 km/hr. and that on Sunday was $28\dfrac{4}{7}\%$ more than that on Saturday, if the time taken by boat to travel upstream on Saturday is $2\dfrac{1}{2}$ 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?

A

6 hrs 45 min

B

2 hrs 45 min

C

4 hrs 30 min

D

6 hrs 15 min

Question 5.

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)

A

27 kmph

B

22 kmph

C

20 kmph

D

None of these

Instructions

For the following Questions answer them individually

Question 6.

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?

A

122 Litre

B

124 Litre

C

128 Litre

D

250 Litre

Question 7.

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?

A

3 Months

B

4 Months

C

6 Months

D

12 Months

Question 8.

Use the figure below to answer questions 8 through 9.What is the area of the shaded figure?

A

56.25\large\pi

square feet

B

112.5\large\pi

square feet

C

225\large\pi

square feet

D

337.4\large\pi

square feet

Question 9.

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

A

1 : 8

B

1 : 4

C

1 : 2

D

1 : 1

Question 10.

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

A

\dfrac{y^{2}}{100}

B

\dfrac{x^{2}}{100}

C

\dfrac{100^{2}}{y}

D

\dfrac{100^{2}}{x}

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IPMAT rohtak 2019 Complete Paper Solution

Instructions

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.

Question 1.

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

Question 2.

If the time taken by boat to travel upstream on Monday is $27\dfrac{1}{5}$ 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)

Question 3.

Question 4.

Question 5.

Instructions

For the following Questions answer them individually

Question 6.

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?

Question 7.

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?

Question 8.

Use the figure below to answer questions 8 through 9.What is the area of the shaded figure?

Question 9.

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

Question 10.

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

CAT Pre-Recorded Course: ₹999 for First 100 Students!

FREE CONTENT

IPMAT rohtak 2019 Complete Paper Solution

Instructions

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.

Question 1.

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

Question 2.

If the time taken by boat to travel upstream on Monday is 271527\dfrac{1}{5}2751​ 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)

Question 3.

Question 4.

Question 5.

Instructions

For the following Questions answer them individually

Question 6.

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?

Question 7.

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?

Question 8.

Use the figure below to answer questions 8 through 9.What is the area of the shaded figure?

Question 9.

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

Question 10.

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

If the time taken by boat to travel upstream on Monday is $27\dfrac{1}{5}$ 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)