JIPMAT 2024 Question Paper

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
The sum of n terms of the Progression $$1+\frac{1}{2}+\frac{1}{2^{2}}+\frac{1}{2^{3}}+ is \frac{2^{(n-1)}-1}{2^{(n-1)}}$$

Reason (R) :
Sum of a geometric series having n terms is given by $$S_{n} = \frac{a(1-r^{n})}{1-r}$$, where a is the $$1^{st}$$ term and r is the common ratio.

A is 40% less efficient than B who can do the same work in 20% less time than C. If A and B together can complete 80% work in 12 days, then in how many days work 60% work can be completed by B and C together ?

A speaks the 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?

By selling two articles for ₹ 800 , a person gains the cost price of three articles. The profit percent is :

A person travels three equal distances at a speed of 'a' km/hr, 'b' km/hr and 'c' km/hr respectively. What is the average speed for the whole journey?

If $$\alpha$$ and $$\beta$$ are the roots of the equation $$ax^{2}+bx+c=0$$ then the value of $$\frac{1}{a\alpha+b}+\frac{1}{a\beta+b}$$ is:

The sides of four triangles are given below. Which of them forms a right triangle ?
(A) 20 cm, 22 cm, 24 cm
(B) 15 cm, 32 cm, 37 cm
(C) 11 cm, 60 cm, 61 cm
(D) 6 cm, 8 cm, 10 cm

The factors of polynomial $$x^{3}-6x^{2}+11x-6$$ are:

A circle, square, equilateral triangle and regular pentagon have the same areas. Arrange the following in ascending order based on their perimeters.
(A) Circle
(B) Square
(C) Equilateral triangle
(D) Regular pentagon

If highest common factor of $$x^{2}-px-q$$ and $$5x^{2}-3px-15q$$ is (x - 3), then value of (p , q) will be :