JIPMAT 2024 (QA) - Free PYQs + Solutions | AfterBoards
IPMAT Indore Free Mocks Topic Tests

JIPMAT 2024 (QA) PYQs

Filter & Analyse PYQs (Topic-Wise) →
JIPMAT 2024 Past Year Papers with Solutions filter tool

Q1:

What will be the least number which when divided by 12, 21 and 35 leaves 6 as a remainder in each case?
Answer options
Option: 1
Correct Answer
Explanation →

Q2:

A candidate scoring x%x \% marks in an examination fails by ' aa ' marks while another candidate who scores y%y \% marks, gets ' bb ' marks more than the minimum required pass marks. What is the maximum marks for the examination ?
Answer options
Option: 3
Correct Answer
Explanation →

Q3:

An equilateral triangle ABCA B C is inscribed in a circle of radius 203 cm20 \sqrt{3} \mathrm{~cm}. The centroid of the triangle ABCA B C is at a distance dd from the vertex AA. then dd is equal to ?
Answer options
Option: 3
Correct Answer
Explanation →

Q4:

An amount doubles itself at compound interest in 5 years. How many years will it take to make the amount 16 times itself ?
Answer options
Option: 4
Correct Answer
Explanation →

Q5:

A company offers four types of successive discounts A - D on the marked price of an article. Arrange these successive discounts A - D in ascending order based on the final price of the article after discounts.
(A) 25%25 \% and 15%15 \% \newline (B) 30%30 \% and 10%10 \% \newline (C) 35%35 \% and 5%5 \% \newline (D) 15%15 \% and 20%20 \%
Answer options
Option: 2
Correct Answer
Explanation →

Q6:

A man sold 35th \frac{3}{5}^{\text {th }} of his articles at a gain of 20%20 \% and the remaining at the cost price. The gain earned in the transaction is
Answer options
Option: 3
Correct Answer
Explanation →

Q7:

Given below are two statements :
Given that a:b=5:3a: b=5: 3 and b:c=2:5b: c=2: 5, then ( c−ac-a ) will be equal to
Statement I: 10(a+c)10(a+c) \newline Statement II: 10a+25b10 a+25 b
In the light of the above statements, choose the correct answer from the options given below :
Answer options
Option: 2
Correct Answer
Explanation →

Q8:

The HCF and LCM of two numbers x\mathrm{x} and y\mathrm{y} are respectively 6 and 210 .
If x+y=72x+y=72, then 1x+1y\frac{1}{x}+\frac{1}{y} is equal to :
Answer options
Option: 4
Correct Answer
Explanation →

Q9:

The average of five consecutive numbers is a. If the next two numbers are also included, how will the average vary?
Answer options
Option: 1
Correct Answer
Explanation →

Q10:

Match List I with List II
List-I (Expression)List-II (Absolute Value)
(A)15×163÷5−89\sqrt{15 \times 163 \div 5-89}(I)105
(B)152+11×32\sqrt{15^{2}+11 \times 3^{2}}(II)20
(C)82×7×52−175\sqrt{8^{2} \times 7 \times 5^{2}-175}(III)10
(D)91+70+121\sqrt{91+\sqrt{70+\sqrt{121}}}(IV)18
Choose the correct answer from the options given below :
Answer options
Option: 3
Correct Answer
Explanation →

Q11:

If the seven digit number 94a29b694 a 29 b 6 is divisible by 72 , then what is the value of (2a+3b)(2 a+3 b) for a≠ba \neq b ?
Answer options
Option: 2
Correct Answer
Explanation →

Q12:

An equilateral triangle ABC\mathrm{ABC} is inscribed in a circle of radius 203 cm20 \sqrt{3} \mathrm{~cm}. What is the length of the side of the triangle ?
Answer options
Option: 4
Correct Answer
Explanation →

Q13:

Given below are two statements :
In class ' XX ' of 30 students, 24 passed in first division; in another class ' YY ' of 35 students, 28 passed in first division.
Statement I : Class ' XX ' has more percentage of students getting first division.
Statement II : Both classes have equal percentage of students getting first division.
Answer options
Option: 4
Correct Answer
Explanation →

Q14:

Arrange the following fractions in descending order.
(A) 59\frac{5}{9}
(B) 711\frac{7}{11}
(C) 815\frac{8}{15}
(D) 1117\frac{11}{17}
Answer options
Option: 4
Correct Answer
Explanation →

Q15:

Simplify : 0.06254+0.0083+0.09−162⋅5×3253\dfrac{\sqrt[4]{0.0625}+\sqrt[3]{0.008}+\sqrt{0.09}-1}{\sqrt[3]{62 \cdot 5 \times \sqrt[5]{32}}}
Answer options
Option: 3
Correct Answer
Explanation →

Q16:

Ram and Shyam run a race between points AA and B,5 kmB, 5 \mathrm{~km} apart. Ram starts at 9 AM from A at a speed of 5 km/hr5 \mathrm{~km} / \mathrm{hr}, reaches BB and returns to AA at the same speed. Shyam starts at 9:45AM9: 45 \mathrm{AM} from A\mathrm{A} at a speed of 10 km/hr10 \mathrm{~km} / \mathrm{hr}, reaches BB and comes back to AA at the same speed.
At what time do Ram and Shyam meet each other ?
Answer options
Option: 2
Correct Answer
Explanation →

Q17:

Ram and Shyam run a race between points AA and B,5 kmB, 5 \mathrm{~km} apart. Ram starts at 9 AM from AA at a speed of 5 km/hr5 \mathrm{~km} / \mathrm{hr}, reaches BB and returns to AA at the same speed. Shyam starts at 9:45AM9: 45 \mathrm{AM} from A\mathrm{A} at a speed of 10 km/hr10 \mathrm{~km} / \mathrm{hr}, reaches BB and comes back to AA at the same speed.
At what time does Shyam overtake Ram ?
Answer options
Option: 2
Correct Answer
Explanation →

Q18:

If the roots of the equation x2−px+54=0x^{2}-p x+54=0 are in the ratio 2:32: 3, then value of pp is:
Answer options
Option: 4
Correct Answer
Explanation →

Q19:

If each side of a cube is decreased by 19%19 \%, then the decrease in surface area is :
Answer options
Option: 2
Correct Answer
Explanation →

Q20:

Given below are two statements:
Statement I: cot⁡30∘+1cot⁡30∘−1=2(cos⁡30∘+1)\frac{\cot 30^{\circ}+1}{\cot 30^{\circ}-1}=2\left(\cos 30^{\circ}+1\right)
Statement II : 2sin⁡45∘cos⁡45∘−tan⁡45∘cot⁡45∘=02 \sin 45^{\circ} \cos 45^{\circ}-\tan 45^{\circ} \cot 45^{\circ}=0
Answer options
Option: 1
Correct Answer
Explanation →

Q21:

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
The sum of nn terms of the Progression
1+12+122+123+1+\frac{1}{2}+\frac{1}{2^{2}}+\frac{1}{2^{3}}+ is 2n−1−12n−1\frac{2^{n-1}-1}{2^{n-1}}.
Reason (R) :
Sum of a geometric series having nn terms is given by Sn=a(1−rn)1−rS_{n}=\frac{a\left(1-r^{n}\right)}{1-r}, where aa is the 1st 1^{\text {st }} term and rr is the common ratio.
Answer options
Option: 4
Correct Answer
Explanation →

Q22:

A is 40%40 \% less efficient than BB who can do the same work in 20%20 \% less time than CC. If AA and B together can complete 80%80 \% work in 12 days, then in how many days 60%60 \% work can be completed by B\mathrm{B} and C\mathrm{C} together ?
Answer options
Option: 3
Correct Answer
Explanation →

Q23:

A speaks the truth in 75%75 \% cases and BB in 80%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 →

Q24:

By selling two articles for ₹ 800 , a person gains the cost price of three articles. The profit percent is :
Answer options
Option: 4
Correct Answer
Explanation →

Q25:

A person travels three equal distances at a speed of 'a' km/hr\mathrm{km} / \mathrm{hr}, 'b' km/hr\mathrm{km} / \mathrm{hr} and ' cc ' km/hr\mathrm{km} / \mathrm{hr} respectively. What is the average speed for the whole journey?
Answer options
Option: 4
Correct Answer
Explanation →

Q26:

If α\alpha and β\beta are the roots of the equation ax2+bx+c=0a x^{2}+b x+c=0, then value of
1aα+b+1aβ+b\frac{1}{a \alpha+b}+\frac{1}{a \beta+b} is :
Answer options
Option: 2
Correct Answer
Explanation →

Q27:

The sides of four triangles are given below. Which of them forms a right triangle ?
(A) 20 cm,22 cm,24 cm20 \mathrm{~cm}, 22 \mathrm{~cm}, 24 \mathrm{~cm}
(B) 15 cm,32 cm,37 cm15 \mathrm{~cm}, 32 \mathrm{~cm}, 37 \mathrm{~cm}
(C) 11 cm,60 cm,61 cm11 \mathrm{~cm}, 60 \mathrm{~cm}, 61 \mathrm{~cm}
(D) 6 cm,8 cm,10 cm6 \mathrm{~cm}, 8 \mathrm{~cm}, 10 \mathrm{~cm}
Answer options
Option: 4
Correct Answer
Explanation →

Q28:

The factors of polynomial x3−6x2+11x−6x^{3}-6 x^{2}+11 x-6 are :
Answer options
Option: 3
Correct Answer
Explanation →

Q29:

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
Answer options
Option: 3
Correct Answer
Explanation →

Q30:

If highest common factor of x2−px−qx^{2}-p x-q and 5x2−3px−15q5 x^{2}-3 p x-15 q is (x−3)(x-3), then value of ( p,q)\left.p, q\right) will be :
Answer options
Option: 3
Correct Answer
Explanation →

Q31:

If sin⁡θ+cos⁡θ=72\sin \theta+\cos \theta=\frac{\sqrt{7}}{2}, then (sin⁡θ−cos⁡θ)(\sin \theta-\cos \theta) is equal to :
Answer options
Option: 2
Correct Answer
Explanation →

Q32:

Fifteen people from different places come together for a family reunion. Each one of them had two gifts each for every other person. When the gifts were exchanged they hugged each other. What is the difference between the number of hugs and the number of gifts exchanged?
Answer options
Option: 1
Correct Answer
Explanation →

Q33:

The points (2,2),(6,3)(2,2),(6,3) and (4,11)(4,11) are vertices of :
Answer options
Option: 3
Correct Answer
Explanation →

JIPMAT 2024 QA Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of JIPMAT 2024 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!