JIPMAT 2025

The value of $999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}$ is equal to :

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?

Amit and Alok attempted to solve a quadratic equation. Amit made a mistake in writing down the constant term and ended up with roots $(4, 3)$. Alok made a mistake in writing down coefficient of $x$ to get roots $(3, 2)$. The correct roots of the equation are:

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?

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

$2^{122} + 4^{62} + 8^{42} + 4^{64} + 2^{130}$ is divisible by which one of the following integers?

The cost of fencing of an equilateral triangular park and a square park is the same. If the area of the triangular park is $16\sqrt{3}$ m$^2$, then the length of the diagonal of the square park is :

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

Which of the following statements is/are correct?

A. If $2^x = 3^y = 6^{-z}$, then $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0$
B. $(243)^{0.16} \times (9)^{0.1} = 0.3$
C. If $3.105 \times 10^P = 0.00239 + 0.000715$, then P = -3

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.

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?

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. $\frac{2}{3}$

B. $\frac{3}{4}$

C. $\frac{4}{5}$

D. $\frac{5}{6}$

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?

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.
B. If the radius of a hemispherical solid is doubled, its total surface area becomes fourfold.
C. If a hemisphere and cone have equal bases and equal heights, then the ratio of curved surface area is $\sqrt{2}:1$.

$\frac{(4.53-3.07)^2}{(3.07-2.15)(2.15-4.53)} + \frac{(3.07-2.15)^2}{(2.15-4.53)(4.53-3.07)} + \frac{(2.15-4.53)^2}{(4.53-3.07)(3.07-2.15)}$ is simplified to

Choose the correct answer from the options given below:

$\sqrt{2+\sqrt{3}} \times \sqrt{2+\sqrt{2+\sqrt{3}}} \times \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}} \times \sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}$ is equal to

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?

If $x^3 + y^3 = 468$ and $x + y = 12$, then value of $x^4 + y^4$ will be

₹ 11,550 has to be divided between A, B and C such that A gets $\frac{4}{5}$ of what B gets and B gets $\frac{2}{3}$ of what C gets. How much more does C get in comparison to A (in ₹)?

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?

Arrange the following in descending order based on their perimeters:

A. A square with an area of 36 sq. cm.
B. An equilateral triangle with a side of 9 cm.
C. A rectangle with 10 cm as length and 40 sq. cm as area.
D. A circle with radius of 4 cm.

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 :

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:

Let x be median of the data $13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.$ If $8$ is replaced by $18$, then the median of data is $y$, then the sum of $x$ and $y$ is equal to:

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:

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?

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 $16\frac{2}{3}$ days, then the value of $x$ is

If $a + b = 2c$, then the value of $\frac{a}{a-c} + \frac{b}{b-c}$ is

Let $x$ be the least number which when divided by $8, 12, 20, 28, 35$ leaves a remainder of $5$ in each case, then the sum of digits of $x$ is :

If $\frac{\sin\theta + \cos\theta}{\sin\theta - \cos\theta} = 3$, then value of $\sin^4\theta - \cos^4\theta$ is

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:

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: