IPMAT Indore 2025 question paper with solutions
All 90 questions of IPMAT Indore 2025, section by section, each with its answer and a step-by-step solution. Sections: Quantitative Ability (45), Verbal Ability (45).
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Quantitative Ability · 45 questions
Set 1Five expedition teams – biologists, geologists and explorers Q5–Q7Set 2E-commerce monthly sales and returns, 2024 Q41–Q45
- Q1Monica, who is 18 years old, is one-third the age of her father. The age at which she will be half the age of her…IPMAT Indore 2025 · Quantitative Ability · Linear Equations
- Q2If m and n are two positive integers such that 7m+11n=200 , then the minimum possible value of m+n isIPMAT Indore 2025 · Quantitative Ability · Integral Solutions
- Q3The number of factors of 3⁵×5⁸×7² that are perfect squares isIPMAT Indore 2025 · Quantitative Ability · Number of Factors
- Q4If the polynomial ax²+bx+5 leaves a remainder 3 when divided by x-1 , and a remainder 2 when divided by x+1 , then…IPMAT Indore 2025 · Quantitative Ability · Polynomials and Higher Degree Equations
- Q5The number of biologists in team E is_____IPMAT Indore 2025 · Quantitative Ability · Deductive Reasoning
- Q6The number of teams having more geologists than biologists is ______IPMAT Indore 2025 · Quantitative Ability · Deductive Reasoning
- Q7The median number of biologists across 5 teams is______IPMAT Indore 2025 · Quantitative Ability · Deductive Reasoning
- Q8Arpita and Nikita, working together, can complete an assigned job in 12 days. If Arpita works initially to complete…IPMAT Indore 2025 · Quantitative Ability · Time and Work
- Q9If a , b , c are three distinct natural numbers, all less than 100, such that ∣a-b∣+∣b-c∣=∣c-a∣ , then the maximum…IPMAT Indore 2025 · Quantitative Ability · Inequalities & Modulus
- Q10Eight teams participate in a tournament where each team plays against every other team exactly once. In a particular…IPMAT Indore 2025 · Quantitative Ability · Permutation and Combination
- Q11If the sum of the first 21 terms of the sequence ln (a)/(b), ln (a)/(b√b), ln (a)/(b²), ln (a)/(b²√b), ldots is ln…IPMAT Indore 2025 · Quantitative Ability · Sequences and Series
- Q12The English and Math exams were conducted separately for a class of 120 students. The number of students who did not…IPMAT Indore 2025 · Quantitative Ability · Set Theory and Venn Diagrams
- Q13If A= [ beginmatrix2 & n \\ 4 & 1endmatrix ] such that A³=27 [ beginmatrix4 & q \\ p & rendmatrix ] , then p+q+r…IPMAT Indore 2025 · Quantitative Ability · Matrices and Determinants
- Q14If log_3 (x²-1 ) , log_3 ( 2x²+1 ) and log_3 ( 6x²+3 ) are the first three terms of an arithmetic progression, then…IPMAT Indore 2025 · Quantitative Ability · Logarithms
- Q15A circle of radius 13 cm touches the adjacent sides AB and BC of a square ABCD at M and N, respectively. If AB = 18 cm…IPMAT Indore 2025 · Quantitative Ability · Circles
- Q16Given that 1+(1)/(2²)+(1)/(3²)+(1)/(4²)+ldots =(π²)/(6) , the value of 1+(1)/(3²)+(1)/(5²)+(1)/(7²)+ldots isIPMAT Indore 2025 · Quantitative Ability · Sequences and Series
- Q17If y=a+blog_ex , which of the following is true?IPMAT Indore 2025 · Quantitative Ability · Logarithms
- Q18If a_1,a_2,ldots ,a_8 are the roots of the equation x⁸+x⁷+ldots +x+1=0 , then the value of a_1²⁰²⁵+a_2²⁰²⁵+ldots…IPMAT Indore 2025 · Quantitative Ability · Polynomials and Higher Degree Equations
- Q19Suppose a , b and c are three real numbers such that textMax ( a,b,c )+textMin ( a,b,c )=15 , and textMedian ( a,b,c…IPMAT Indore 2025 · Quantitative Ability · Averages, Mixture and Alligation
- Q20If log_25 [ 5log_3 ( 1+log_3 ( 1+2log_2x ) ) ]=(1)/(2) then x is:IPMAT Indore 2025 · Quantitative Ability · Logarithms
- Q21A natural number n lies between 100 and 400, and the sum of its digits is 10. The probability that n is divisible by…IPMAT Indore 2025 · Quantitative Ability · Probability
- Q22In triangle ABC, AB=AC=x , ∠ ABC=θ and the circumradius is equal to y . Then (x)/(y) equalsIPMAT Indore 2025 · Quantitative Ability · Trigonometry
- Q23If 8x²-2kx+k=0 is a quadratic equation in x , such that one of its roots is p times the other, and p , k are positive…IPMAT Indore 2025 · Quantitative Ability · Quadratic Equations
- Q24Let A ( 1,3 ) and B ( 5,1 ) be two points. If a line with slope m intersects AB at an angle of 45^(∘) , then the…IPMAT Indore 2025 · Quantitative Ability · Coordinate Geometry (Basics)
- Q25Let P ( x ) be a quadratic polynomial such that beginvmatrixP (0 ) & P (1 )\\ P (0 ) & P (2 )endvmatrix=0 . Let P ( 0…IPMAT Indore 2025 · Quantitative Ability · Polynomials and Higher Degree Equations
- Q26A circle touches the y -axis at ( 0,4 ) and passes through the point ( -2,0 ) . Then, the radius of the circle isIPMAT Indore 2025 · Quantitative Ability · Cicles
- Q27Consider a triangle with side lengths 4 meters, 6 meters, and 9 meters. A dog runs around the triangle in such a way…IPMAT Indore 2025 · Quantitative Ability · Mensuration 2D
- Q28Anindita invests a total of 1 lakh rupees distributed across three schemes, A, B and C, for a period of two years.…IPMAT Indore 2025 · Quantitative Ability · Simple Interest and Compound Interest
- Q29Let f ( x )=a²x²+2bx+c where, a≠ 0 , b , c are real numbers and x is a real variable thenIPMAT Indore 2025 · Quantitative Ability · Maxima and Minima
- Q30The area of the triangle, formed by the straight lines y=0 , 12x-5y=0 , and 3x+4y=7 isIPMAT Indore 2025 · Quantitative Ability · Coordinate Geometry (Basics)
- Q31Area of a regular octagon inscribed in a circle of radius 1 unit is:IPMAT Indore 2025 · Quantitative Ability · Polygons
- Q32Two swimmers, Ankit and Bipul, start swimming from opposite ends of a swimming pool at the same time. Ankit can cover…IPMAT Indore 2025 · Quantitative Ability · Time Speed and Distance
- Q33The sum of the first 5 terms of a geometric progression is the same as the sum of the first 7 terms of the same…IPMAT Indore 2025 · Quantitative Ability · Sequences and Series
- Q34The set of all values of x satisfying the inequality log_ ( x+(1)/(x) ) [log_2 ( (x-1)/(x+2) ) ]>0 isIPMAT Indore 2025 · Quantitative Ability · Inequalities & Modulus
- Q35Let S_1=\100,105,110,115,ldots \ and S_2=\100,95,90,85,ldots \ be two series in arithmetic progression. If a_k and b_k…IPMAT Indore 2025 · Quantitative Ability · Sequences and Series
- Q36A and B take part in a rifle shooting match. The probability of A hitting the target is 0.4, while the probability of…IPMAT Indore 2025 · Quantitative Ability · Probability
- Q37Which of the following numbers is divisible by 3¹⁰+2IPMAT Indore 2025 · Quantitative Ability · Divisibility Rules
- Q38Let A and B be two finite sets such that n ( A-B ) , n ( Acap B ) , n ( B-A ) are in an arithmetic progression. Here n…IPMAT Indore 2025 · Quantitative Ability · Set Theory and Venn Diagrams
- Q39The number of integers greater than 5000 and divisible by 5 that can be formed with the digits 1, 3, 5, 7, 8, 9 where…IPMAT Indore 2025 · Quantitative Ability · Permutation and Combination
- Q40The remainder when 11¹⁰¹¹+1011¹¹ is divided by 9 isIPMAT Indore 2025 · Quantitative Ability · Remainder Theorem
- Q41Which month had highest percentage decline in monthly sales as compared to previous month for the Apparel category?IPMAT Indore 2025 · Quantitative Ability · Tables
- Q42For which categories the value of the products returned (as a percentage of sales) increased for three consecutive…IPMAT Indore 2025 · Quantitative Ability · Tables
- Q43By what percentage the net sales for June increased as compared to May in the Footwear category?IPMAT Indore 2025 · Quantitative Ability · Tables
- Q44Among the following four months, for which month the contribution of the Apparel category in the total monthly sales…IPMAT Indore 2025 · Quantitative Ability · Tables
- Q45Among the following four months, for which month the value of the Footwear returned (in lakhs of rupees) was the…IPMAT Indore 2025 · Quantitative Ability · Tables
Verbal Ability · 45 questions
- Q1Deepak is an unpleasant person, but we all ____________ because his sister is a close friend of ours.IPMAT Indore 2025 · Verbal Ability · Idioms and Phrases
- Q2We hope that the government’s new policies will ______ a period of economic growth.IPMAT Indore 2025 · Verbal Ability · Idioms and Phrases
- Q3When she inherited some jewellery from a distant relative, she had no idea of its worth and decided ______.IPMAT Indore 2025 · Verbal Ability · Commonly Confused Words
- Q4There are so many instances of one or more deer crossing the road, or just standing in the middle of the road, or else…IPMAT Indore 2025 · Verbal Ability · Fill in the Blanks
- Q5Everyone wondered how the travel vlogger could go around the world all through the year and ______.IPMAT Indore 2025 · Verbal Ability · Commonly Confused Words
- Q6Without a doubt, the widespread use of renewable energy is a key solution to climate change. However, it is not a…IPMAT Indore 2025 · Verbal Ability · Idioms and Phrases
- Q7The labourers who were fired broke into the office building and destroyed some of the machinery. Rather than finding a…IPMAT Indore 2025 · Verbal Ability · Commonly Confused Words
- Q8Choose the option that best improves the underlined portion of the sentence. Among scientists, the discovery of the…IPMAT Indore 2025 · Verbal Ability · Sentence Improvement
- Q9Choose the option that best improves the underlined portion of the sentence. Thank goodness, the damage to the car was…IPMAT Indore 2025 · Verbal Ability · Sentence Improvement
- Q10Choose the option that best improves the underlined portion of the sentence. Although the new policy aims to increase…IPMAT Indore 2025 · Verbal Ability · Sentence Improvement
- Q11Choose the option that best improves the underlined portion of the sentence. If the President knew that his allies…IPMAT Indore 2025 · Verbal Ability · Conditional Sentence
- Q12Choose the option that best improves the underlined portion of the sentence. When I had to leave town due to office…IPMAT Indore 2025 · Verbal Ability · Sentence Improvement
- Q13Choose the sentence that best fills the blank in the passage. A report published in Lancet Diabetes and Endocrinology…IPMAT Indore 2025 · Verbal Ability · Sentence Completion and Insertion
- Q14Choose the sentence that best completes the passage. An island in Japan boasts of numerous dairy farms that own nearly…IPMAT Indore 2025 · Verbal Ability · Sentence Completion and Insertion
- Q15Choose the sentence that best fills the blank in the passage. As globalization held sway over the world, communities,…IPMAT Indore 2025 · Verbal Ability · Sentence Completion and Insertion
- Q16Choose the sentence that best fills the blank in the passage. On the first day of January 2025, the Indian…IPMAT Indore 2025 · Verbal Ability · Sentence Completion and Insertion
- Q17Art can be ____________ because it encourages individuals to express their emotions through a creative outlet,…IPMAT Indore 2025 · Verbal Ability · Cloze Test
- Q18Astronauts who stayed for an ____________ period of time at the International Space Station displayed a remarkable…IPMAT Indore 2025 · Verbal Ability · Cloze Test
- Q19While Curcumin, which is an ______ found in turmeric helps to reduce ______, extremely high doses of it can ______…IPMAT Indore 2025 · Verbal Ability · Cloze Test
- Q20The notion of personhood is ____________ on something more than a particular type of genetic material within human…IPMAT Indore 2025 · Verbal Ability · Cloze Test
- Q21Since chronic stress can ____________ the immune system, making individuals more susceptible to illness and…IPMAT Indore 2025 · Verbal Ability · Cloze Test
- Q22Psychologists urge users to remember that social media rarely reflects the full complexity of real life. Influencers…IPMAT Indore 2025 · Verbal Ability · Cloze Test
- Q23The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2025 · Verbal Ability · Para Jumbles
- Q24The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2025 · Verbal Ability · Para Jumbles
- Q25The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2025 · Verbal Ability · Para Jumbles
- Q26The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2025 · Verbal Ability · Para Jumbles
- Q27The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2025 · Verbal Ability · Para Jumbles
- Q28The writer implies thatIPMAT Indore 2025 · Verbal Ability · RC Inference Questions
- Q29The writer argues that social mediaIPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q30Technologies are enabling social media toIPMAT Indore 2025 · Verbal Ability · RC Inference Questions
- Q31Social media has succeeded inIPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q32The writer's conclusion is that information available on social media is linked toIPMAT Indore 2025 · Verbal Ability · RC Tone and Attitude
- Q33The inherent downside associated with social media is that itIPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q34What is Baudrillard's position on consumption?IPMAT Indore 2025 · Verbal Ability · RC Tone and Attitude
- Q35Which of the following is an argument made by Baudrillard?IPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q36How does Baudrillard engage with the cargo myth?IPMAT Indore 2025 · Verbal Ability · RC Tone and Attitude
- Q37What is Baudrillard's position on total happiness?IPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q38How can consumption be made more satisfying?IPMAT Indore 2025 · Verbal Ability · RC Inference Questions
- Q39Why are consumers unhappy with commodities that they have just bought?IPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q40Which of the following best and correctly summarizes the main idea of the conversation?IPMAT Indore 2025 · Verbal Ability · RC Main Idea and Central Theme
- Q41In the context of the conversation, the term "arenas of competition" refers toIPMAT Indore 2025 · Verbal Ability · RC Vocabulary in Context Questins
- Q42"Wizard" industries are characterized byIPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q43In the context of the conversation, "dynamism" most closely refers toIPMAT Indore 2025 · Verbal Ability · RC Vocabulary in Context
- Q44"Muggles" refers to industries thatIPMAT Indore 2025 · Verbal Ability · RC Detail and Fact Based Questions
- Q45Which one of the following does "shuffle rate" not measure?IPMAT Indore 2025 · Verbal Ability · RC EXCEPT and NOT Questions