IPMAT Rohtak 2019 (QA) - Free PYQs + Solutions | AfterBoards
IPMAT Indore Free Mocks Topic Tests

IPMAT Rohtak 2019 (QA) PYQs

Filter & Analyse PYQs (Topic-Wise) →
IPMAT Rohtak 2019 Past Year Papers with Solutions filter tool

Q1:

\newline
\newline
If the time taken by boat to travel upstream on Wednesday is 67\frac{6}{7} times 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)
Answer options
Option: 0
Correct Answer
Explanation →

Q2:

\newline
\newline
If the time taken by boat to travel upstream on Monday is 271527 \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 the same in upstream as in downstream)
Answer options
Option: 1
Correct Answer
Explanation →

Q3:

\newline
\newline
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 6623%66 \frac{2}{3}\% more than that of Saturday and time taken to travel upstream on Wednesday is 1613\frac{16}{13} times than time taken by it to travel downstream on Saturday, then find the speed of stream (in kmph) on Saturday?
Answer options
Option: 3
Correct Answer
Explanation →

Q4:

\newline
\newline
The speed of boat in still water on Saturday was 21 km/hr, and that on Sunday was 2847%28 \frac{4}{7}\% more than that on Saturday. If the time taken by boat to travel upstream on Saturday is 2122\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?
Answer options
Option: 4
Correct Answer
Explanation →

Q5:

\newline
\newline
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)
Answer options
Option: 0
Correct Answer
Explanation →

Q6:

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. What is the quantity of water in the final mixture?
Answer options
Option: 1
Correct Answer
Explanation →

Q7:

Veena has to pay Rs. 2460 to Sita, 5 months later at 6% simple interest per annum, and Gita has to pay Sita the same amount at 7.5% simple interest per annum after certain months. If both took the same amount of loan from Sita then Gita paid the loan after how many months?
Answer options
Option: 2
Correct Answer
Explanation →

Q8:

What is the area of the shaded figure? Use the figure below to answer questions.
Answer options
Option: 2
Correct Answer
Explanation →

Q9:

What is the ratio of the area of Circle M to the area of Circle K?
Answer options
Option: 2
Correct Answer
Explanation →

Q10:

If x%x\% of yy is equal to zz then what percentage of zz is xx?
Answer options
Option: 3
Correct Answer
Explanation →

Q11:

Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, the 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.
Answer options
Option: 3
Correct Answer
Explanation →

Q12:

One Trader calculates the percentage of profit on the buying price and another calculates on the selling price. When their selling prices are the 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?
Answer options
Option: 2
Correct Answer
Explanation →

Q13:

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
Answer options
Option: 1
Correct Answer
Explanation →

Q14:

sin⁡(13π6)\sin(\frac{13\pi}{6})
Answer options
Option: 1
Correct Answer
Explanation →

Q15:

Fruits were purchased for Rs 350. 9 boys ate 35\frac{3}{5} 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?
Answer options
Option: 4
Correct Answer
Explanation →

Q16:

If the minimum value of f(x)=x2+2bx+2c2f(x) = x^2 + 2bx + 2c^2 is greater than the maximum value of g(x)=−x2−2cx+b2g(x) = -x^2 - 2cx + b^2, then for real value of x.
Answer options
Option: 1
Correct Answer
Explanation →

Q17:

The set of all real numbers x for which x2−∣x+2∣+x>0x^2 - |x + 2| + x > 0, is
Answer options
Option: 2
Correct Answer
Explanation →

Q18:

What should come at the place of question mark? 46080,3840,384,48,8,2,?\newline 46080, 3840, 384, 48, 8, 2, ?
Answer options
Option: 1
Correct Answer
Explanation →

Q19:

A room has floor size of 15×615 \times 6 sq.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?
Answer options
Option: 3
Correct Answer
Explanation →

Q20:

The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.
Answer options
Option: 1
Correct Answer
Explanation →

Q21:

Given (A=265)(A = 2^{65}) and (B=264+263+262+...+20)(B = 2^{64} + 2^{63} + 2^{62} + ... + 2^0), which of the following is true?
Answer options
Option: 4
Correct Answer
Explanation →

Q22:

A line from center to circumference of a circle is known as
Answer options
Option: 2
Correct Answer
Explanation →

Q23:

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?
Answer options
Option: 1
Correct Answer
Explanation →

Q24:

Two pipes P and Q can fill a tank in 2020 hrs and 2525 hrs respectively while a third pipe R can empty the tank in 3030 hrs. If all the pipes are opened together for 1010 hrs and then pipe R is closed, then in what time the tank can be filled?
Answer options
Option: 2
Correct Answer
Explanation →

Q25:

Given ratios are a:b=2:3,b:c=5:2,c:d=1:4a : b = 2 : 3, b : c = 5 : 2, c : d = 1 : 4. Find a:b:ca : b : c.
Answer options
Option: 3
Correct Answer
Explanation →

Q26:

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?
Answer options
Option: 3
Correct Answer
Explanation →

Q27:

What decimal of an hour is a second?
Answer options
Option: 2
Correct Answer
Explanation →

Q28:

What will be the vulgar fraction of 0.0056?
Answer options
Option: 1
Correct Answer
Explanation →

Q29:

One-fifth of a number is equal to 58\frac{5}{8}th of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number.
Answer options
Option: 3
Correct Answer
Explanation →

Q30:

If * = +, / = -, + = *, - = / then 43 * 561 + 500 - 100 / 10 = ?
Answer options
Option: 4
Correct Answer
Explanation →

Q31:

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?
Answer options
Option: 1
Correct Answer
Explanation →

Q32:

A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is
Answer options
Option: 1
Correct Answer
Explanation →

Q33:

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?
Answer options
Option: 3
Correct Answer
Explanation →

Q34:

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?
Answer options
Option: 1
Correct Answer
Explanation →

Q35:

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?
Answer options
Option: 4
Correct Answer
Explanation →

Q36:

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?
Answer options
Option: 3
Correct Answer
Explanation →

Q37:

Simplification: 252.7×54.2÷55.4=?25^{2.7} \times 5^{4.2} \div 5^{5.4} = ?
Answer options
Option: 4
Correct Answer
Explanation →

Q38:

18800/470/20=18800 / 470 / 20 =
Answer options
Option: 2
Correct Answer
Explanation →

Q39:

Find the HCF of 23,46,827\frac{2}{3}, \frac{4}{6}, \frac{8}{27}
Answer options
Option: 1
Correct Answer
Explanation →

Q40:

If log⁡2,log⁡(2x−1),log⁡(2x+3)\log 2, \log (2x - 1), \log (2x + 3) are in A.P, then xx is equal to ____
Answer options
Option: 1
Correct Answer
Explanation →

IPMAT Rohtak 2019 QA Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of IPMAT Rohtak 2019 QA Past Year Questions (PYQs) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. We have created handwritten solutions for all IPMAT Indore questions for free!