JIPMAT 2022 (QA) - Free PYQs + Solutions | AfterBoards
IPMAT Indore Free Mocks Topic Tests

JIPMAT 2022 (QA) PYQs

Filter & Analyse PYQs (Topic-Wise) →
JIPMAT 2022 Past Year Papers with Solutions filter tool

Q1:

A sum becomes double in 10 years, then what is the annual rate of simple interest?
Answer options
Option: 3
Correct Answer
Explanation →

Q2:

P, Q, and R invested Rs. 25,000, Rs. 50,000, and Rs. 25,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 48,000. What will be Q's share?
Answer options
Option: 1
Correct Answer
Explanation →

Q3:

List I (Quadratic Equation)List II (Roots)A. 6x2+x−12=0I. (−6,4)B. 8x2+16x−10=202II. (9,36)C. x2+45x+324=0III. (3,−12)D. 2x2−5x−3=0IV. (−32,43)\begin{array}{|c|c|c|} \hline \textbf{List I (Quadratic Equation)} & \textbf{List II (Roots)} \\ \hline \text{A. } 6x^2 + x - 12 = 0 & \text{I. } (-6, 4) \\ \hline \text{B. } 8x^2 + 16x - 10 = 202 & \text{II. } (9, 36) \\ \hline \text{C. } x^2 + 45x + 324 = 0 & \text{III. } (3, -\frac{1}{2}) \\ \hline \text{D. } 2x^2 - 5x - 3 = 0 & \text{IV. } \left(-\frac{3}{2}, \frac{4}{3}\right) \\ \hline \end{array}
Match List I with List II. Choose the correct answer from the options given below:
Answer options
Option: 2
Correct Answer
Explanation →

Q4:

The population of a village is 5000. If in a year, the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. If M is the number of males and F is the number of females in the village, then (M,F) =
Answer options
Option: 3
Correct Answer
Explanation →

Q5:

If A earns 3313%33 \frac{1}{3} \% more than B, then percentage B earns less than A will be:
Answer options
Option: 2
Correct Answer
Explanation →

Q6:

Which of the following trigonometric identities are true?
sin⁡2(41∘)+sin⁡2(49∘)=1sin⁡2(60∘)−2tan⁡(45∘)−cos⁡2(30∘)=−1sin⁡2(θ)+11+tan⁡2(θ)=1\begin{aligned} & \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ & \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ & \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}
Answer options
Option: 2
Correct Answer
Explanation →

Q7:

Which of the following is the value of mm for which the polynomial x4+10x3+25x2+15x+mx^4 + 10x^3 + 25x^2 + 15x + m is exactly divisible by x+7x+7?
Answer options
Option: 1
Correct Answer
Explanation →

Q8:

The area of a circular playground is 22176 cm222176 \ cm^2. What is the cost of fencing this ground at the rate of ₹50 per metre?
Answer options
Option: 1
Correct Answer
Explanation →

Q9:

The sum of n−n- terms of sequence 11×2+12×3+13×4……\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4} \ldots \ldots. Is
Answer options
Option: 4
Correct Answer
Explanation →

Q10:

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?
Answer options
Option: 4
Correct Answer
Explanation →

Q11:

Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then the distance between their tops is
Answer options
Option: 3
Correct Answer
Explanation →

Q12:

The value of a flat worth ₹500,000 is depreciating at the rate of 10% per annum. In how many years will the value be reduced to ₹364,500?
Answer options
Option: 2
Correct Answer
Explanation →

Q13:

How many liters of water should be added to a 3030 liters mixture of milk and water containing milk and water in the ratio 7:37:3 such that the resultant mixture has 40% water in it?
Answer options
Option: 1
Correct Answer
Explanation →

Q14:

Given below are two statements:
Statement I : The sum of exponents of prime factors in the prime factorization of 392 is 5.
Statement II : The decimal representation 1323×5\frac{13}{2^3 \times 5} will terminate after 2 decimal places.
In the light of the above statements, choose the correct answer from the options given below:
Answer options
Option: 3
Correct Answer
Explanation →

Q15:

Given below are two statement based on the following
If AA and BB are independent events such that P(A)=p,P(B)=2pP(A)=p, P(B)=2 p and PP (exactly one of A,B)=59A, B)=\frac{5}{9}
Statement I: p=13\mathrm{p}=\frac{1}{3}
Statement II: p=512\mathrm{p}=\frac{5}{12}
In the light of the above statements, choose the correct answer form the question given below
Answer options
Option: 1
Correct Answer
Explanation →

Q16:

Given below are two statements based on the following:
A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours.
Statement I: Speed of the boat in still water is 12 km per hour.
Statement II: Speed of the stream is 4 km per hour.
In the light of the above statements, choose the correct answer from the options given below:
Answer options
Option: 3
Correct Answer
Explanation →

Q17:

Floor of a room is 15 m 17 cm15 \text{ m } 17 \text{ cm} long and 9 m 2 cm9 \text{ m } 2 \text{ cm} broad. What is the least number of square tiles required to pave the floor?
Answer options
Option: 3
Correct Answer
Explanation →

Q18:

Two persons A and B start from the same point to travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is 60 km60 \text{ km}. Speed of A is 4 km/hr4 \text{ km/hr} slower than B. B, when reaches Ambala, starts back via the same route without taking any rest and meets A who was still 12 km12 \text{ km} away from Ambala. Find the speed of A.
Answer options
Option: 2
Correct Answer
Explanation →

Q19:

If the LCM of two numbers is 12 times their HCF and the sum of LCM and HCF is 403, and one number is 93, find the other number.
Answer options
Option: 1
Correct Answer
Explanation →

Q20:

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages (in years) of the son and the father are, respectively
Answer options
Option: 1
Correct Answer
Explanation →

Q21:

Three years ago, the ratio of ages of Amisha and Namisha was 8:9. Three years from now the ratio will become 11:12. What is the present age of Amisha?
Answer options
Option: 3
Correct Answer
Explanation →

Q22:

If the radius of each of four outer circles is rr, then the radius of the innermost circle is
Answer options
Option: 3
Correct Answer
Explanation →

Q23:

If sin⁡(α)\sin (\alpha) and cos⁡(α)\cos (\alpha) are the roots of the equation ax2+bx+c=0a x^{2}+b x+c=0, then b2b^{2} is
Answer options
Option: 3
Correct Answer
Explanation →

Q24:

If the mean of aa, bb, and cc is MM; ab+bc+ca=0ab + bc + ca = 0; and the mean of a2a^2, b2b^2 and c2c^2 is KM2KM^2, then KK is equal to
Answer options
Option: 1
Correct Answer
Explanation →

Q25:

List IList IIA. Mean of first five prime numbers isI. 12B. Mean of all factors of 24 isII. 7.5C. Mean of first six multiples of 4 isIII. 5.6D. If the mean of x−5y,x−3y,x−y,x+y,x+3y and x+5y is 12, then x isIV. 14\begin{array}{|c|c|c|} \hline \textbf{List I} & \textbf{List II} \\ \hline \text{A. Mean of first five prime numbers is} & \text{I. 12} \\ \hline \text{B. Mean of all factors of 24 is} & \text{II. 7.5} \\ \hline \text{C. Mean of first six multiples of 4 is} & \text{III. 5.6} \\ \hline \text{D. If the mean of } x - 5y, x - 3y, x - y, \\x + y, x + 3y \text{ and } x + 5y \text{ is 12, then } x \text{ is} & \text{IV. 14} \\ \hline \end{array}
Match List I with List II. Choose the correct answer from the options given below:
Answer options
Option: 2
Correct Answer
Explanation →

Q26:

5+38−215+11+2306−5\frac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2 \sqrt{15}}}+\frac{\sqrt{11+2 \sqrt{30}}}{\sqrt{6}-\sqrt{5}}
Answer options
Option: 4
Correct Answer
Explanation →

Q27:

If a×b=2a−3b+aba\times b=2 a-3 b+a b,then 3×5+5×33 \times 5+5 \times 3 is equal to
Answer options
Option: 3
Correct Answer
Explanation →

Q28:

The value of 325×325×325+175×175×175325×325−325×175+175×175\frac{325 \times 325 \times 325+175 \times 175 \times 175}{325 \times 325-325 \times 175+175 \times 175} is
Answer options
Option: 4
Correct Answer
Explanation →

Q29:

Given below are two statements:
Statement I: In △ABC,AB=63 cm,AC=12 cm\triangle A B C, A B=6 \sqrt{3} \mathrm{~cm}, A C=12 \mathrm{~cm} and BC=6 cmB C=6 \mathrm{~cm}, then angle B=90∘B=90^{\circ}
Statement II: In △ABC\triangle A B C, is an isosceles with AC=BCA C=B C. If AB2=2AC2A B^{2}=2 AC^{2}, Then angle C=90∘C=90^{\circ}
In the light of the above statement, choose the correct answer form the question below.
Answer options
Option: 1
Correct Answer
Explanation →

Q30:

Given below are two statement:
Statement I: If sin⁡(θ)=513\sin (\theta)=\frac{5}{13}, then the value of tan⁡(θ)=512\tan (\theta)=\frac{5}{12}
Statement II: if cot⁡(θ)=125\cot (\theta)=\frac{12}{5}, then the value of sin⁡(θ)=512\sin (\theta)=\frac{5}{12}
In the light of the above statements, choose the correct answer form the question below:
Answer options
Option: 3
Correct Answer
Explanation →

Q31:

A two digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than the original number. What is the number?
Answer options
Option: 2
Correct Answer
Explanation →

Q32:

If ab+c=bc+a=ca+b=k\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{a+b}=k then value of kk is
Answer options
Option: 4
Correct Answer
Explanation →

Q33:

The equation of the circle which passes through the point (4,5)(4,5) and its centre at (2,2)(2,2) is
Answer options
Option: 2
Correct Answer
Explanation →

JIPMAT 2022 QA Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of JIPMAT 2022 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!