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JIPMAT 2025 Past Year Papers with Solutions filter tool

Q1:

The value of 99917+99927+99937+99947+99957+99967999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7} is equal to :
Answer options
Option: 1
Correct Answer
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Q2:

A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, in narrating the same incident?
Answer options
Option: 3
Correct Answer
Explanation →

Q3:

Amit and Alok attempted to solve a quadratic equation. Amit made a mistake in writing down the constant term and ended up with roots (4,3)(4, 3). Alok made a mistake in writing down coefficient of xx to get roots (3,2)(3, 2). The correct roots of the equation are:
Answer options
Option: 2
Correct Answer
Explanation →

Q4:

How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5, when repetition of digits is not allowed?
Answer options
Option: 3
Correct Answer
Explanation →

Q5:

From the four corners of a rectangular sheet of dimensions 25 cm ×\times 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is
Answer options
Option: 2
Correct Answer
Explanation →

Q6:

2122+462+842+464+21302^{122} + 4^{62} + 8^{42} + 4^{64} + 2^{130} is divisible by which one of the following integers?
Answer options
Option: 4
Correct Answer
Explanation →

Q7:

The cost of fencing of an equilateral triangular park and a square park is the same. If the area of the triangular park is 16316\sqrt{3} m2^2, then the length of the diagonal of the square park is :
Answer options
Option: 4
Correct Answer
Explanation →

Q8:

The difference between compound and simple interests on a certain sum of money at the interest rate of 10%10\% per annum for 1121\frac{1}{2} years is ₹183₹183, when the interest is compounded semi-annually, then the sum of money is :
Answer options
Option: 2
Correct Answer
Explanation →

Q9:

Which of the following statements is/are correct? \newline \newline A. If 2x=3y=6−z2^x = 3^y = 6^{-z}, then 1x+1y+1z=0\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0 \newline B. (243)0.16×(9)0.1=0.3(243)^{0.16} \times (9)^{0.1} = 0.3 \newline C. If 3.105×10P=0.00239+0.0007153.105 \times 10^P = 0.00239 + 0.000715, then P = -3
Answer options
Option: 4
Correct Answer
Explanation →

Q10:

A car owner buys petrol at the rate ₹ 17, ₹ 19 and ₹ 20 per litre, respectively for three consecutive years. Compute the average cost per litre, if he spends ₹ 6,460 per year for the three consecutive years.
Answer options
Option: 2
Correct Answer
Explanation →

Q11:

In 4 years, an amount of ₹ 6,000 becomes ₹ 8,000 at a certain rate of simple interest. In what time at the same simple interest rate, will an amount of ₹ 525 become ₹ 700?
Answer options
Option: 3
Correct Answer
Explanation →

Q12:

After adding 5 to both numerator and denominator of the following fractions, arrange them in ascending order of the magnitude of change in their values.
A. 23\frac{2}{3}
B. 34\frac{3}{4}
C. 45\frac{4}{5}
D. 56\frac{5}{6}
Answer options
Option: 3
Correct Answer
Explanation →

Q13:

Selling price of a glass is ₹ 1,965 and loss percent is 25%. If its selling price is ₹ 3,013, then what will be profit percent?
Answer options
Option: 3
Correct Answer
Explanation →

Q14:

Consider the following statements, which of them is/are correct?
A. If the height of cylinder is doubled, the area of curved surface is doubled. \newline B. If the radius of a hemispherical solid is doubled, its total surface area becomes fourfold. \newline C. If a hemisphere and cone have equal bases and equal heights, then the ratio of curved surface area is 2:1\sqrt{2}:1.
Answer options
Option: 3
Correct Answer
Explanation →

Q15:

(4.53−3.07)2(3.07−2.15)(2.15−4.53)+(3.07−2.15)2(2.15−4.53)(4.53−3.07)+(2.15−4.53)2(4.53−3.07)(3.07−2.15)\frac{(4.53-3.07)^2}{(3.07-2.15)(2.15-4.53)} + \frac{(3.07-2.15)^2}{(2.15-4.53)(4.53-3.07)} + \frac{(2.15-4.53)^2}{(4.53-3.07)(3.07-2.15)} is simplified to
Answer options
Option: 4
Correct Answer
Explanation →

Q16:

Match the LIST-I with LIST-II
LIST-I LIST-II
A. 60% of 264 I. 20% of 6875
B. 60% of 28% of 240 II. 50% of 825.35
C. 85% of 485.5 III. 15% of 1056
D. 550% of 250 IV. 8.4% of 480
Choose the correct answer from the options given below:
Answer options
Option: 4
Correct Answer
Explanation →

Q17:

2+3×2+2+3×2+2+2+3×2−2+2+3\sqrt{2+\sqrt{3}} \times \sqrt{2+\sqrt{2+\sqrt{3}}} \times \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}} \times \sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}} is equal to
Answer options
Option: 1
Correct Answer
Explanation →

Q18:

The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec, respectively. They all change simultaneously at 08:20:00 hours, when will they again change simultaneously?
Answer options
Option: 2
Correct Answer
Explanation →

Q19:

If x3+y3=468x^3 + y^3 = 468 and x+y=12x + y = 12, then value of x4+y4x^4 + y^4 will be
Answer options
Option: 4
Correct Answer
Explanation →

Q20:

₹ 11,550 has to be divided between A, B and C such that A gets 45\frac{4}{5} of what B gets and B gets 23\frac{2}{3} of what C gets. How much more does C get in comparison to A (in ₹)?
Answer options
Option: 4
Correct Answer
Explanation →

Q21:

Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?
Answer options
Option: 3
Correct Answer
Explanation →

Q22:

Arrange the following in descending order based on their perimeters:
A. A square with an area of 36 sq. cm. \newline B. An equilateral triangle with a side of 9 cm. \newline C. A rectangle with 10 cm as length and 40 sq. cm as area. \newline D. A circle with radius of 4 cm.
Answer options
Option: 4
Correct Answer
Explanation →

Q23:

A solid brass sphere of radius 21 cm is converted into a right circular cylindrical rod of length 28 cm. The ratio of total surface areas of the rod to sphere is :
Answer options
Option: 2
Correct Answer
Explanation →

Q24:

The ratios of copper to zinc in alloys A and B are 3:4 and 5:9, respectively. If A and B are taken in ratio 2:3 and melted to form new alloy C, then the ratio of copper to zinc in C is:
Answer options
Option: 4
Correct Answer
Explanation →

Q25:

Let x be median of the data 13,8,15,14,17,9,14,16,13,17,14,15,16,15,14.13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14. If 88 is replaced by 1818, then the median of data is yy, then the sum of xx and yy is equal to:
Answer options
Option: 4
Correct Answer
Explanation →

Q26:

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from two ships are 30° and 45°, respectively. If the lighthouse is 100 m high, the distance between two ships is approximately:
Answer options
Option: 3
Correct Answer
Explanation →

Q27:

Cost price of article A is ₹ 200 more than the cost price of article B. Article A was sold at 10% loss and article B was sold at 25% profit. If the overall profit earned after selling both the articles is 4%, then what is the cost price of article B?
Answer options
Option: 2
Correct Answer
Explanation →

Q28:

40 men can complete a work in 48 days. 64 men started and did the same work for x days. After x days, 32 men increased, so, the remaining work is completed in 162316\frac{2}{3} days, then the value of xx is
Answer options
Option: 1
Correct Answer
Explanation →

Q29:

If a+b=2ca + b = 2c, then the value of aa−c+bb−c\frac{a}{a-c} + \frac{b}{b-c} is
Answer options
Option: 3
Correct Answer
Explanation →

Q30:

Let xx be the least number which when divided by 8,12,20,28,358, 12, 20, 28, 35 leaves a remainder of 55 in each case, then the sum of digits of xx is :
Answer options
Option: 1
Correct Answer
Explanation →

Q31:

If sin⁡θ+cos⁡θsin⁡θ−cos⁡θ=3\frac{\sin\theta + \cos\theta}{\sin\theta - \cos\theta} = 3, then value of sin⁡4θ−cos⁡4θ\sin^4\theta - \cos^4\theta is
Answer options
Option: 3
Correct Answer
Explanation →

Q32:

Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children is:
Answer options
Option: 4
Correct Answer
Explanation →

Q33:

P's income is ₹ 140 more than Q's income and R's income is ₹ 80 more than S's. If the ratio of P's and R's incomes is 2:3 and the ratio of Q's and S's incomes is 1:2, then the incomes of P, Q, R and S are, respectively:
Answer options
Option: 3
Correct Answer
Explanation →

JIPMAT 2025 QA Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of JIPMAT 2025 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!