IPMAT Indore 2024 question paper with solutions
All 90 questions of IPMAT Indore 2024, 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 1Eight companies – headcount and median age Q13–Q15Set 2Five constituencies – parties A, B and C Q41–Q45
- Q1The number of factors of 1800 that are multiple of 6 is _________IPMAT Indore 2024 · Quantitative Ability · Number of Factors
- Q2The number of real solutions of the equation (x²-15x+55 )^(x²-5x+6)=1 is _________IPMAT Indore 2024 · Quantitative Ability · Surds and Indices
- Q3In a group of 150 students, 52 like tea, 48 like juice and 62 like coffee. If each student in the group likes at least…IPMAT Indore 2024 · Quantitative Ability · Set Theory and Venn Diagrams
- Q4Let ABC be a triangle right-angled at B with AB = BC = 18. The area of largest rectangle that can be inscribed in this…IPMAT Indore 2024 · Quantitative Ability · Mensuration 2D
- Q5A fruit seller has oranges, apples and bananas in the ratio 3:6:7. If the number of oranges is a multiple of both 5…IPMAT Indore 2024 · Quantitative Ability · Ratio and Proportion
- Q6The number of pairs (x, y) of integers satisfying the inequality | x-5 |+ | y-5 |≤ 6 is _____IPMAT Indore 2024 · Quantitative Ability · Coordinate Geometry (Basics)
- Q7The price of a chocolate is increased by x% and then reduced by x%. The new price is 96.76% of the original price.…IPMAT Indore 2024 · Quantitative Ability · Percentage
- Q8Let f and g be two functions defined by f ( x )=|x+ | x || and g ( x )=(1)/(x) for x≠ 0 . If f ( a )+g ( f ( a )…IPMAT Indore 2024 · Quantitative Ability · Functions
- Q9If 4^(log_2x)-4x+9^(log_3y)-16y+68=0 , then y-x equals _______IPMAT Indore 2024 · Quantitative Ability · Logarithms
- Q10Person A borrows Rs. 4000 from another person B for a duration of 4 years. He borrows a portion of it at 3% simple…IPMAT Indore 2024 · Quantitative Ability · Simple Interest and Compound Interest
- Q11The number of triangles with integer sides and with perimeter 15 is _______IPMAT Indore 2024 · Quantitative Ability · Triangles
- Q12If A= [ beginmatrixx_1&x_2& 7 \y_1&y_2&y_3\z_1& 8 & 3endmatrix ] is a matrix such that the sum of all three elements…IPMAT Indore 2024 · Quantitative Ability · Matrices and Determinants
- Q13The highest possible age of an employee of company A is _____IPMAT Indore 2024 · Quantitative Ability · Tables
- Q14The median age of an employee across the eight companies is _____IPMAT Indore 2024 · Quantitative Ability · Tables
- Q15In company F, the lowest possible sum of the ages of all employees is ______IPMAT Indore 2024 · Quantitative Ability · Tables
- Q16The angle of elevation of the top of a pole from a point A on the ground is 30°. The angle of elevation changes to…IPMAT Indore 2024 · Quantitative Ability · Heights and Distances
- Q17If | x+1 |+ ( y+2 )²=0 and ax-3ay=1 , then the value of a isIPMAT Indore 2024 · Quantitative Ability · Inequalities & Modulus
- Q18If log_4x=a and log_25x=b then log_x10 isIPMAT Indore 2024 · Quantitative Ability · Logarithms
- Q19Let ABC be an equilateral triangle, with each side of length k. If a circle is drawn with diameter AB, then the area…IPMAT Indore 2024 · Quantitative Ability · Circles
- Q20Let ABC be a triangle with AB = AC and D be a point on BC such that ∠BAD = 30°. If E is a point on AC such that AD =…IPMAT Indore 2024 · Quantitative Ability · Triangles
- Q21If 5 boys and 3 girls randomly sit around a circular table, the probability that there will be at least one boy…IPMAT Indore 2024 · Quantitative Ability · Probability
- Q22The side AB of a triangle ABC is c. The median BD is of length k. If ∠BDA = θ < 90°, then the area of triangle ABC isIPMAT Indore 2024 · Quantitative Ability · Triangles
- Q23Let a=( (log_74 ) (log_75-log_72 ))/( (log_725 ) (log_78-log_74 )) . Then the value of 5^(a) isIPMAT Indore 2024 · Quantitative Ability · Logarithms
- Q24For some non-zero real values of a, b and c, it is given that | (c)/(a) |=4 , | (a)/(b) |=(1)/(3) and (b)/(c)=-(3)/(4)…IPMAT Indore 2024 · Quantitative Ability · Inequalities & Modulus
- Q25The difference between the maximum real root and the minimum real root of the equation (x²-5 )⁴+ (x²-7 )⁴=16 isIPMAT Indore 2024 · Quantitative Ability · Quadratic Equations
- Q26If θ is the angle between the pair of tangents drawn from the point A ( 0,(7)/(2) ) to the circle x²+y²-14x+16y+88=0 ,…IPMAT Indore 2024 · Quantitative Ability · Circles
- Q27The numbers 2²⁰²⁴ and 5²⁰²⁴ are expanded and their digits are written out consecutively on one page. The total number…IPMAT Indore 2024 · Quantitative Ability · Number of Digits
- Q28A boat goes 96 km upstream in 8 hours and covers the same distance moving downstream in 6 hours. On the next day boat…IPMAT Indore 2024 · Quantitative Ability · Boats and Streams
- Q29If the shortest distance of a given point to a given circle is 4 cm and the longest distance is 9 cm, then the radius…IPMAT Indore 2024 · Quantitative Ability · Circles
- Q30In a survey of 500 people, it was found that 250 owned a 4-wheeler but not a 2-wheeler, 100 owned a 2-wheeler but not…IPMAT Indore 2024 · Quantitative Ability · Set Theory
- Q31The sum of a given infinite geometric progression is 80 and the sum of its first two terms is 35. Then the value of n…IPMAT Indore 2024 · Quantitative Ability · Sequences and Series
- Q32Let n be the number of ways in which 20 identical balloons can be distributed among 5 girls and 3 boys such that…IPMAT Indore 2024 · Quantitative Ability · Permutation and Combination
- Q33The greatest number among 2³⁰⁰,3²⁰⁰,4¹⁰⁰,2¹⁰⁰+3¹⁰⁰ isIPMAT Indore 2024 · Quantitative Ability · Exponents and Indices
- Q34The number of values of x for which ^(17-x)C_3x+1 is defined as an integer isIPMAT Indore 2024 · Quantitative Ability · Permutation and Combination
- Q35The number of solutions of the equation x_1+x_2+x_3+x_4=50 , where x_1,x_2,x_3,x_4 are integers with x_1≥ 1,x_2≥…IPMAT Indore 2024 · Quantitative Ability · Permutation and Combination
- Q36Sagarika divides her savings of 10000 rupees to invest across two schemes A and B. Scheme A offers an interest rate of…IPMAT Indore 2024 · Quantitative Ability · Compound Interest
- Q37A fruit seller had a certain number of apples, bananas and oranges at the start of the day. The number of bananas was…IPMAT Indore 2024 · Quantitative Ability · Percentage
- Q38The terms of a geometric progression are real and positive. If the p^textth term of the progression is q and the…IPMAT Indore 2024 · Quantitative Ability · Sequences and Series
- Q39The number of real solutions of the equation x²-10 | x |-56=0 isIPMAT Indore 2024 · Quantitative Ability · Inequalities & Modulus
- Q40The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% isIPMAT Indore 2024 · Quantitative Ability · Fractions and Decimals
- Q41The constituency in which B got lower number of votes compared to A and C isIPMAT Indore 2024 · Quantitative Ability · Reasoning Based DI
- Q42The number of votes obtained by B in S2 isIPMAT Indore 2024 · Quantitative Ability · Reasoning Based DI
- Q43Assume that A and C had formed an alliance and any voter who voted for either A or C would have voted for this…IPMAT Indore 2024 · Quantitative Ability · Reasoning Based DI
- Q44The number of votes obtained by A is S5 isIPMAT Indore 2024 · Quantitative Ability · Reasoning Based DI
- Q45Comparing the number votes obtained by A across different constituencies, the lowest number of votes were in…IPMAT Indore 2024 · Quantitative Ability · Reasoning Based DI
Verbal Ability · 45 questions
RC passage 1Passage 1 – India’s air quality and the right to clean air Q1–Q6RC passage 2Passage 2 – Anxiety: evolution, disorder and treatment Q7–Q12
- Q1Based on the information in the passage, who has endorsed the right to clean air?IPMAT Indore 2024 · Verbal Ability · RC Detail and Fact Based Questions
- Q2In the last sentence of the passage, “This is the battle for our future”, the writer isIPMAT Indore 2024 · Verbal Ability · RC Inference Questions
- Q3Based on the information in the passage, which one of the following statements is correct?IPMAT Indore 2024 · Verbal Ability · RC Detail and Fact Based Questions
- Q4The first sentence in the passage mentions that India was in the news again as a world leader. What is the writer’s…IPMAT Indore 2024 · Verbal Ability · RC Inference Questions
- Q5Which of the following points is not made by the writer?IPMAT Indore 2024 · Verbal Ability · RC EXCEPT and NOT Questions
- Q6The phrase “that kicks in” (para 3) meansIPMAT Indore 2024 · Verbal Ability · RC Vocabulary in Context
- Q7Which of the following best indicates the relationship between anxiety and survival?IPMAT Indore 2024 · Verbal Ability · RC Inference Questions
- Q8In what way might the relationship between exercise or physical activity and anxiety relief suggest a potential…IPMAT Indore 2024 · Verbal Ability · Reading Comprehension
- Q9In the passage, the information about anxiety treatments is organized in which of the following ways?IPMAT Indore 2024 · Verbal Ability · Reading Comprehension
- Q10Based on the information in the passage, which of the following statements best describes the potential danger…IPMAT Indore 2024 · Verbal Ability · RC Detail and Fact Based Questions
- Q11The passage is chiefly concerned withIPMAT Indore 2024 · Verbal Ability · RC Main Idea and Central Theme
- Q12Based on the information in the passage, which one of the following statements is correct?IPMAT Indore 2024 · Verbal Ability · RC Detail and Fact Based Questions
- Q13Complete the following sentence by choosing the most appropriate word/phrase from the options given below. My…IPMAT Indore 2024 · Verbal Ability · Idioms and Phrases
- Q14Complete the following sentence by choosing the most appropriate word/phrase from the options given below. In a circus…IPMAT Indore 2024 · Verbal Ability · Idioms and Phrases
- Q15Complete the following sentence by choosing the most appropriate word/phrase from the options given below. Anil could…IPMAT Indore 2024 · Verbal Ability · Idioms and Phrases
- Q16Complete the following sentence by choosing the most appropriate word/phrase from the options given below. In his…IPMAT Indore 2024 · Verbal Ability · Idioms and Phrases
- Q17Complete the following sentence by choosing the most appropriate word/phrase from the options given below. The…IPMAT Indore 2024 · Verbal Ability · Idioms and Phrases
- Q18Complete the following sentence by choosing the most appropriate word/phrase from the options given below. All the…IPMAT Indore 2024 · Verbal Ability · Idioms and Phrases
- Q19Complete the following sentence by choosing the most appropriate word/phrase from the options given below. Sheila…IPMAT Indore 2024 · Verbal Ability · Idioms and Phrases
- Q20In the following sentence, the incorrect part of the sentence is underlined . Choose an alternative from the four…IPMAT Indore 2024 · Verbal Ability · Grammatically Correct Sentence
- Q21In the following sentence, the incorrect part of the sentence is underlined . Choose an alternative from the four…IPMAT Indore 2024 · Verbal Ability · Grammatically Correct Sentence
- Q22In the following sentence, the incorrect part of the sentence is underlined . Choose an alternative from the four…IPMAT Indore 2024 · Verbal Ability · Grammatically Correct Sentence
- Q23In the following sentence, the incorrect part of the sentence is underlined . Choose an alternative from the four…IPMAT Indore 2024 · Verbal Ability · Grammatically Correct Sentence
- Q24In the following sentence, the incorrect part of the sentence is underlined . Choose an alternative from the four…IPMAT Indore 2024 · Verbal Ability · Grammatically Correct Sentence
- Q25The paragraph given below has a sentence missing, indicated by a blank. From the choices given below, choose the most…IPMAT Indore 2024 · Verbal Ability · Para Completion
- Q26The paragraph given below has a sentence missing, indicated by a blank. From the choices given below, choose the most…IPMAT Indore 2024 · Verbal Ability · Para Completion
- Q27The paragraph given below has a sentence missing, indicated by a blank. From the choices given below, choose the most…IPMAT Indore 2024 · Verbal Ability · Para Completion
- Q28The paragraph given below has a sentence missing, indicated by a blank. From the choices given below, choose the most…IPMAT Indore 2024 · Verbal Ability · Para Completion
- Q29Some of the words in the sentences below are missing. Choose the best option from those given below to complete them.…IPMAT Indore 2024 · Verbal Ability · Fill in the Blanks
- Q30Some of the words in the sentences below are missing. Choose the best option from those given below to complete them.…IPMAT Indore 2024 · Verbal Ability · Fill in the Blanks
- Q31Some of the words in the sentences below are missing. Choose the best option from those given below to complete them.…IPMAT Indore 2024 · Verbal Ability · Fill in the Blanks
- Q32Some of the words in the sentences below are missing. Choose the best option from those given below to complete them.…IPMAT Indore 2024 · Verbal Ability · Fill in the Blanks
- Q33Some of the words in the sentences below are missing. Choose the best option from those given below to complete them.…IPMAT Indore 2024 · Verbal Ability · Fill in the Blanks
- Q34Some of the words in the sentences below are missing. Choose the best option from those given below to complete them.…IPMAT Indore 2024 · Verbal Ability · Fill in the Blanks
- Q35One of the statements below contains a word used incorrectly or inappropriately. Choose the option which has the…IPMAT Indore 2024 · Verbal Ability · Word Usage in Context
- Q36One of the statements below contains a word used incorrectly or inappropriately. Choose the option which has the…IPMAT Indore 2024 · Verbal Ability · Word Usage in Context
- Q37One of the statements below contains a word used incorrectly or inappropriately. Choose the option which has the…IPMAT Indore 2024 · Verbal Ability · Word Usage in Context
- Q38One of the statements below contains a word used incorrectly or inappropriately. Choose the option which has the…IPMAT Indore 2024 · Verbal Ability · Word Usage in Context
- Q39One of the statements below contains a word used incorrectly or inappropriately. Choose the option which has the…IPMAT Indore 2024 · Verbal Ability · Word Usage in Context
- Q40One of the statements below contains a word used incorrectly or inappropriately. Choose the option which has the…IPMAT Indore 2024 · Verbal Ability · Word Usage in Context
- Q41The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2024 · Verbal Ability · Para Jumbles
- Q42The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2024 · Verbal Ability · Para Jumbles
- Q43The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2024 · Verbal Ability · Para Jumbles
- Q44The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2024 · Verbal Ability · Para Jumbles
- Q45The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a…IPMAT Indore 2024 · Verbal Ability · Para Jumbles