IPMAT Indore 2026 question paper with solutions
All 90 questions of IPMAT Indore 2026, section by section, each with its answer and a step-by-step solution. Sections: Quantitative Ability (45), Verbal Ability (45).
📄 Download the IPMAT Indore 2026 question paper (PDF)
Take this paper as a timed test
Real exam timing, instant score, rank and topic-wise analysis.
Quantitative Ability · 45 questions
Set 1Five friends – Countryside Sightseeing, Shopping and Adventure Sports Q9–Q11Set 2Nutritionist’s diet plan – Calcium, Iron and Protein Q36–Q40
- Q1If x , y are real numbers and equations x²-12x+35=0 and x²+ax+105=0 have at least one common root, then the minimum…IPMAT Indore 2026 · Quantitative Ability · Quadratic Equations
- Q2Ram purchased 3 oranges at Rs. 20 each and 5 mangoes at Rs. 38 each and then sold them by offering discounts of 25%…IPMAT Indore 2026 · Quantitative Ability · Profit and Loss
- Q3The remainder when 7¹⁰³+7¹⁰¹ is divided by 9 is ____IPMAT Indore 2026 · Quantitative Ability · Remainder Theorem
- Q4In a company, initially the ratio of the foreign and domestic workers was 5 : 8. When some foreign and 12 domestic…IPMAT Indore 2026 · Quantitative Ability · Ratio and Proportion
- Q5Let M= [ beginmatrix1 & 1 & 1 \\ a & b & c \a²&b²&c²endmatrix ] where a , b and c are real numbers such that a+b+c=0…IPMAT Indore 2026 · Quantitative Ability · Matrices and Determinants
- Q6Savitri borrowed 10000 rupees from a bank for a period of two years at a fixed interest rate of 10% per annum,…IPMAT Indore 2026 · Quantitative Ability · Simple Interest and Compound Interest
- Q7The Celsius scale of temperature can be converted to Fahrenheit scale using the relationship F=1.8C+32 , where F and C…IPMAT Indore 2026 · Quantitative Ability · Percentage
- Q8Let S denote an arithmetic progression whose first term is either 132 or 158, and the common difference is an even…IPMAT Indore 2026 · Quantitative Ability · Sequences and Series
- Q9The number of ways in which a pair of friends can be chosen for a trip from those who like Adventure Sports is ____IPMAT Indore 2026 · Quantitative Ability · Deductive Reasoning
- Q10The number of friends who like both Shopping and Adventure Sports is _______________IPMAT Indore 2026 · Quantitative Ability · Deductive Reasoning
- Q11The number of friends that like Countryside Sightseeing is _______________IPMAT Indore 2026 · Quantitative Ability · Deductive Reasoning
- Q12Let ABCD be a cyclic quadrilateral with AB = 15, BC = 20, CD = 24 and AC = 25. Then AD equals_________IPMAT Indore 2026 · Quantitative Ability · Quadrilaterals
- Q13A man starts walking from point A to point B at 4 km/hr. After 30 minutes, a woman starts from point A at 6 km/hr. If…IPMAT Indore 2026 · Quantitative Ability · Time Speed and Distance
- Q14The number of ways in which three distinct integers can be chosen from the set \1,2,ldots ,9\ such that their product…IPMAT Indore 2026 · Quantitative Ability · Permutation and Combination
- Q15If n is an integer such that (|n+6|-|n-3|)/(√(100-n³))≥ 0 , then the number of possible values of n isIPMAT Indore 2026 · Quantitative Ability · Inequalities & Modulus
- Q16Two locations A and B are at diametrically opposite ends of a circular track. Rekha starts running along the track…IPMAT Indore 2026 · Quantitative Ability · Time Speed and Distance
- Q17The number of integers n such that 1≤ n≤10⁷ and gcd ( n,10⁷ )=10³ is _________.IPMAT Indore 2026 · Quantitative Ability · HCF and LCM
- Q18Painter A can paint a building in 12 days while Painter B can paint it in 16 days. If A and B work on alternate days,…IPMAT Indore 2026 · Quantitative Ability · Time and Work
- Q19Let ABCD be a rectangle with AB=72 cm and BC=30 cm. A circle passing through points A and C cuts the side AB at P such…IPMAT Indore 2026 · Quantitative Ability · Cicles
- Q20Three dice are thrown simultaneously and the sum of the three numbers appearing on the top faces of the dice is found…IPMAT Indore 2026 · Quantitative Ability · Probability
- Q21If x is a real number such that max ( min ( x, 2-x ), x-4, 2x-8 )=π -3 , then the number of possible values of x isIPMAT Indore 2026 · Quantitative Ability · Functions
- Q22In a class, 25% of all students read news from the Internet. Moreover, 45% of all students read news from printed…IPMAT Indore 2026 · Quantitative Ability · Set Theory and Venn Diagrams
- Q23The equation 2^(x)-x²=0 hasIPMAT Indore 2026 · Quantitative Ability · Graphs and Transformations
- Q24Gita starts from point A and walks 1000 m east. She then walks 800 m north, followed by 640 m west and 512 m south,…IPMAT Indore 2026 · Quantitative Ability · Sequences and Series
- Q25The number of values a can take such that x⁴+ax³+ ( 3a-4 )x²+2 ( a-1 )x-4 can be expressed as a product of two…IPMAT Indore 2026 · Quantitative Ability · Polynomials and Higher Degree Equations
- Q26A circle of non-zero radius has origin as its centre. If it passes through the point of intersection of two curves…IPMAT Indore 2026 · Quantitative Ability · Cicles
- Q27The possible values of x in the set \1,5,13\ for which the mean of eight observations 5, 8, 3x+2, 15, 27, 29, 36, 5x-2…IPMAT Indore 2026 · Quantitative Ability · Averages, Mixture and Alligation
- Q28Positive reals x , y satisfy x≠ y and (x²+y²)/(xy)=k . If replacing x by x+y and y by |x-y| leaves the value of k…IPMAT Indore 2026 · Quantitative Ability · Algebraic Identities
- Q29The number of ways in which coins of denominations of rupees 2, 5 and 10 can be combined to make a value of rupees 50 isIPMAT Indore 2026 · Quantitative Ability · Permutation and Combination
- Q30If a , b , and c are three prime numbers such that abc=23 ( a+b+c ) , then the maximum possible value of a+b-c isIPMAT Indore 2026 · Quantitative Ability · Prime Numbers and Co-primes
- Q31The number of integer solutions ( x,y ) of the inequality x²+y²≤ 10 isIPMAT Indore 2026 · Quantitative Ability · Coordinate Geometry (Basics)
- Q32If log_1824=p , then log_96108 equalsIPMAT Indore 2026 · Quantitative Ability · Logarithms
- Q33Let S=\1,2,ldots ,180\ . Define A as the set of all multiples of 4 in S , B as the set of all multiples of 6 in S ,…IPMAT Indore 2026 · Quantitative Ability · Set Theory and Venn Diagrams
- Q34If m is a positive integer then the values of k for which 6m+k cannot be a perfect square areIPMAT Indore 2026 · Quantitative Ability · Divisibility Rules
- Q35A fair die is rolled repeatedly. The probability that the cumulative sum is at least 17 in the third trial isIPMAT Indore 2026 · Quantitative Ability · Probability
- Q36When one serving of each of the five items is included in the diet plan, the nutrient with the least percentage of MDR…IPMAT Indore 2026 · Quantitative Ability · Tables
- Q37If only x servings of Milk and y servings of Rice are included in the diet plan, then the minimum value of x+y that…IPMAT Indore 2026 · Quantitative Ability · Tables
- Q38The number of food items that can satisfy at least 15% of the MDR for at least two nutrients in one serving isIPMAT Indore 2026 · Quantitative Ability · Tables
- Q39The food item(s) that can satisfy at least half of the MDR for all the three nutrients using up to seven servings of…IPMAT Indore 2026 · Quantitative Ability · Tables
- Q40If two servings of Milk are part of the daily diet plan, then the minimum number of servings of any other single item…IPMAT Indore 2026 · Quantitative Ability · Tables
- Q41If A= [ beginmatrix1 & 1 \\ 0 & 1endmatrix ] , then the determinant of A+A²+A³+cdots +A¹³ isIPMAT Indore 2026 · Quantitative Ability · Matrices and Determinants
- Q42Let the circle x²+y²=2ax+2by intersect the x-axis at point A ( α ,0 ) and y-axis at point B ( 0,β ) , where α β ≠ 0 .…IPMAT Indore 2026 · Quantitative Ability · Cicles
- Q43The approximate value of the expression 2log_33n-log_3 (n²+1 ) for a sufficiently large n isIPMAT Indore 2026 · Quantitative Ability · Logarithms
- Q44A certain number of people contributed to a charity. The first person contributed one rupee. The rule for contribution…IPMAT Indore 2026 · Quantitative Ability · Sequences and Series
- Q45A person walks one lap along a circle at a speed v . Thereafter, he runs one lap along the boundary of the largest…IPMAT Indore 2026 · Quantitative Ability · Mensuration 2D
Verbal Ability · 45 questions
RC passage 1Passage Q1–Q6RC passage 2Passage 2 Q7–Q12RC passage 3Passage 3 – Conversation analysis: the Nile, geometry and governance Q13–Q18
- Q1The narrator observed that the two dogs, Pug and Gyp that belonged to the familyIPMAT Indore 2026 · Verbal Ability · RC Detail and Fact Based Questions
- Q2The cry of warning from a bird or animalIPMAT Indore 2026 · Verbal Ability · RC Inference Questions
- Q3The author had observed the dogs’ interchange of ideas several times and felt that they communicatedIPMAT Indore 2026 · Verbal Ability · RC Inference Questions
- Q4The war between the robins and the sparrows ended whenIPMAT Indore 2026 · Verbal Ability · RC Detail and Fact Based Questions
- Q5The term lingua franca refers to a language whichIPMAT Indore 2026 · Verbal Ability · RC Vocabulary in Context
- Q6According to the passage, the English sparrow is quarrelsome, pugnacious and itIPMAT Indore 2026 · Verbal Ability · RC Detail and Fact Based Questions
- Q7The reference to David and Goliath suggests thatIPMAT Indore 2026 · Verbal Ability · Idioms and Phrases
- Q8The author is of the opinion thatIPMAT Indore 2026 · Verbal Ability · RC Detail and Fact Based Questions
- Q9The rage bait problem can be addressed byIPMAT Indore 2026 · Verbal Ability · RC Detail and Fact Based Questions
- Q10The phrase “a civilisational battle” could best be interpreted as a conflict that affectsIPMAT Indore 2026 · Verbal Ability · Idioms and Phrases
- Q11According to the author, rage bait works whenIPMAT Indore 2026 · Verbal Ability · Cause & explanation
- Q12The writer states all of the following except:IPMAT Indore 2026 · Verbal Ability · RC EXCEPT and NOT Questions
- Q13What was the primary purpose of the “Nilometer”?IPMAT Indore 2026 · Verbal Ability · RC Detail and Fact Based Questions
- Q14The term ‘agency’ with respect to the government refers to theIPMAT Indore 2026 · Verbal Ability · RC Vocabulary in Context
- Q15In the conversation, what does the term ‘linear artery’ imply about the Nile’s role in Egypt?IPMAT Indore 2026 · Verbal Ability · Idioms and Phrases
- Q16The Host refers to a “logic-gate”. What is the ‘input’ and the ‘output’ of this gate?IPMAT Indore 2026 · Verbal Ability · RC Inference Questions
- Q17If the Nilometer reading in a given year was significantly lower than that of the previous year, what logical…IPMAT Indore 2026 · Verbal Ability · RC Inference Questions
- Q18Why was “geographical confinement” beneficial to the central Egyptian government?IPMAT Indore 2026 · Verbal Ability · Cause & explanation
- Q19Complete the following sentence by choosing the most appropriate word/phrase from the options given below. The rich…IPMAT Indore 2026 · Verbal Ability · Idioms and Phrases
- Q20Complete the following sentence by choosing the most appropriate word/phrase from the options given below. The journal…IPMAT Indore 2026 · Verbal Ability · Commonly Confused Words
- Q21Complete the following sentence by choosing the most appropriate word/phrase from the options given below. We had…IPMAT Indore 2026 · Verbal Ability · Idioms and Phrases
- Q22Complete the following sentence by choosing the most appropriate word/phrase from the options given below. When the…IPMAT Indore 2026 · Verbal Ability · Idioms and Phrases
- Q23Complete the following sentence by choosing the most appropriate word/phrase from the options given below. My roommate…IPMAT Indore 2026 · Verbal Ability · Commonly Confused Words
- Q24Complete the following sentence by choosing the most appropriate word/phrase from the options given below. The…IPMAT Indore 2026 · Verbal Ability · Commonly Confused Words
- Q25Complete the following sentence by choosing the most appropriate word/phrase from the options given below. While…IPMAT Indore 2026 · Verbal Ability · Idioms and Phrases
- Q26In the following sentence, the incorrect part is shown in bold. Choose an alternative from the four given options so…IPMAT Indore 2026 · Verbal Ability · Commonly Confused Words
- Q27In the following sentence, the incorrect part is shown in bold. Choose an alternative from the four given options so…IPMAT Indore 2026 · Verbal Ability · Sentence Improvement
- Q28In the following sentence, the incorrect part is shown in bold. Choose an alternative from the four given options so…IPMAT Indore 2026 · Verbal Ability · Conditional Sentence
- Q29In the following sentence, the incorrect part is shown in bold. Choose an alternative from the four given options so…IPMAT Indore 2026 · Verbal Ability · Sentence Improvement
- Q30In the following sentence, the incorrect part is shown in bold. Choose an alternative from the four given options so…IPMAT Indore 2026 · Verbal Ability · Commonly Confused Words
- Q31The paragraph below has a sentence missing, indicated by a blank. Choose the sentence that is most logically…IPMAT Indore 2026 · Verbal Ability · Sentence Completion and Insertion
- Q32The paragraph below has a sentence missing, indicated by a blank. Choose the sentence that is most logically…IPMAT Indore 2026 · Verbal Ability · Sentence Completion and Insertion
- Q33The paragraph below has a sentence missing, indicated by a blank. Choose the sentence that is most logically…IPMAT Indore 2026 · Verbal Ability · Sentence Completion and Insertion
- Q34The paragraph below has a sentence missing, indicated by a blank. Choose the sentence that is most logically…IPMAT Indore 2026 · Verbal Ability · Sentence Completion and Insertion
- Q35Some of the words in the paragraph below are missing. Choose the best option to complete it. The newly appointed…IPMAT Indore 2026 · Verbal Ability · Cloze Test
- Q36Some of the words in the paragraph below are missing. Choose the best option to complete it. In the…IPMAT Indore 2026 · Verbal Ability · Cloze Test
- Q37Some of the words in the paragraph below are missing. Choose the best option to complete it. Some philosophers have…IPMAT Indore 2026 · Verbal Ability · Cloze Test
- Q38Some of the words in the paragraph below are missing. Choose the best option to complete it. A useful definition for…IPMAT Indore 2026 · Verbal Ability · Cloze Test
- Q39Some of the words in the paragraph below are missing. Choose the best option to complete it. Even as technology…IPMAT Indore 2026 · Verbal Ability · Cloze Test
- Q40Some of the words in the paragraph below are missing. Choose the best option to complete it. The_________of the…IPMAT Indore 2026 · Verbal Ability · Cloze Test
- Q41The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2026 · Verbal Ability · Para Jumbles
- Q42The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2026 · Verbal Ability · Para Jumbles
- Q43The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2026 · Verbal Ability · Para Jumbles
- Q44The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2026 · Verbal Ability · Para Jumbles
- Q45The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2026 · Verbal Ability · Para Jumbles