JIPMAT 2026

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

Find the maximum value of $n$ such that

$61 \times 42 \times 26 \times 81 \times 64 \times 49 \times 47 \times 51 \times 63 \times 16 \times 67$ is perfectly divisible by $56^n$

Three rings complete 60, 36 and 24 revolutions in a minute. They start from a certain point in their circumference down wards. By what time they come together again in the same position?

Arrange the following in descending order:

A. $\sqrt{401}-\sqrt{399}$

B. $\sqrt{301}-\sqrt{299}$

C. $\sqrt{101}-\sqrt{99}$

D. $\sqrt{201}-\sqrt{199}$

Choose the correct answer from the options given below:

If $\frac{p}{q}=\frac{3}{7}$ and $\frac{r}{s}=\frac{5}{9}$, the value of $\frac{7pr-qs}{6qs-21pr}$ is

The average age of 8 men increases by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

Let $a, b, c, d, e, f, g$ be seven consecutive even numbers and $j, k, l, m, n$ be five consecutive odd numbers. What is the average of all numbers?

Two number are in the ratio of 2:3. If 9 (Nine) is added to each number, they will be in ratio 3:4. What is the product of the two numbers?

Seeta got married 6 years ago. Today her age is $1\frac{1}{4}$ times her age at the time of her marriage. Her son's age is $\frac{1}{10}$ times her present age. What is the present age of her son?

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Which of the following multipliers will cause a number to increase by 29.7%?

If the difference between 62% and 80% of a number is 198, then the difference between 92% and 56% of the same number will be :-

Successive discounts of $p\%$ and $q\%$ on an invoice is the same as a single discount of

Given below is the data pertaining to four movies which have collected gross revenues in domestic and international markets in Million USD ($). Arrange them in ascending order based on the ratios of their international versus domestic gross revenues.

Choose the correct answer from the options given below:

If P : Q = 5 : 2, then (2P - 3Q) : (3P - 5Q) is equal to:

The simple interest on a sum of money for 3 years is ₹240 and the compound interest on the same sum, at the same rate for 2 years is ₹170. The rate of interest is:

'A' started a business with investment of ₹5000. After 2 months, 'B' & 'C' joined with ₹2500 and ₹3500, respectively. If total annual profit was ₹4800, what was B's share in annual profit?

A solid cone and a solid cylinder have equal base and equal height. If the radius and height be in the ratio of 12 : 5, the ratio of the total surface area of cone to that of the cylinder is

A Merchant had 50 kg of pulse. He sold one part at 10% profit and other remaining part at 5% loss. The overall gain he had was 7%. Then the quantities of pulse, which he sold at 10% profit and 5% loss, respectively, are

A and B can do a piece of work in 40 days and 50 days, respectively. Both begin doing the work together but after certain time A leaves. Then, B finishes the remaining work in 20 days. After how many days did A leave?

A student walks from his house at speed of $2\frac{1}{2}$ km/hour and reaches his school late by 6 min. Next day, he increases his speed by 1 km/hour and reaches 6 min before school time. How far is the school from his house?

If $x+y+z=7$, $x^2+y^2+z^2=85$ and $x^3+y^3+z^3=913$, then value of $\sqrt[3]{xyz}$ is

For which value of $k$, lines $x+2y=9$ and $kx+4y=-5$ are parallel?

The product of two positive integers $x$ and $y$ is 6760 and their HCF is 13. How many such pairs $(x, y)$ can be formed?

If one root of the quadratic equation $ax^2+bx+c=0$ is the reciprocal of other, then which of the following is correct?

Let $p$ and $q$ be the roots of the quadratic equation $ax^2+bx+c=0$, $a\ne0$. If $a$, $b$ and $c$ are in arithmetic progression and $\frac{1}{p}+\frac{1}{q}=4$, then the value of $(p-q)^2$ is

An aluminum sheet 25 cm long, 20 cm broad and 2 cm thick is melted into a cube. The difference in the surface area of the two solids would be

The value of $3+\frac{1}{\sqrt3}+\frac{1}{3+\sqrt3}+\frac{1}{\sqrt3-3}$ is

A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If three caps are picked at random without replacement, what is the probability that two are red and one is green?

Sam can hit a target 1 time in 4 shots, Jack can hit the target 2 times in 4 shots and Raj can hit the target 6 times in 6 shots. What is the probability that at least 2 shots hit the target?

A cube has each edge 2 cm and cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint area equal to 54 cm². Which of the following is correct?

The sum of length, breadth and height of a cuboid is 22 cm and the length of its body diagonal is 14 cm. What is the surface area of the cuboid?

The sum of length, breadth and height of a cuboid is 22 cm and length of its body diagonal is 14 cm. if S is the sum of cubes of dimensions of the cuboid and V is the volume, the (S−3V) will be equal to