IIM B UG (B.Sc-Hons.)- Sample Paper 2026 with solutions
All 60 questions of IIM B UG (B.Sc-Hons.)- Sample Paper 2026, section by section, each with its answer and a step-by-step solution. Sections: English Comprehension (15), Logical Reasoning (15), Quant & DI (30).
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English Comprehension · 15 questions
- Q1Why, according to the passage, is rate of WFH different across countries?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Specific Detail
- Q2Which of the following captures the message of this passage?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Main Idea
- Q3Which of the following is proved by this passage?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Inference
- Q4To what does this passage credit spread of WFH?:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Specific Detail
- Q5Which of the following terms would accurately classify the stance of the author on reliability of DDAs?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Author's Tone/Attitude
- Q6DDAs are meant to convey:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Inference
- Q7Which of the following is not usually covered by the DDAs:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Specific Detail
- Q8To make DDAs more reliable, we need:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · RC - Inference
- Q9In each question, a paragraph consists of six sentences. The first and sixth sentences are in their correct positions,…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · Para Jumbles
- Q10In each question, a paragraph consists of six sentences. The first and sixth sentences are in their correct positions,…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · Para Jumbles
- Q11Each of the questions has one or more sentences with two blank spaces. Below each sentence, there are four options,…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · Fill in the Blanks
- Q12Each of the questions has one or more sentences with two blank spaces. Below each sentence, there are four options,…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · Fill in the Blanks
- Q13Each of the questions has one or more sentences with two blank spaces. Below each sentence, there are four options,…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · Fill in the Blanks
- Q14Each of the questions has one or more sentences that has an underlined word or phrase. Below each question, there are…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · Synonyms
- Q15Each of the questions has one or more sentences that has an underlined word or phrase. Below each question, there are…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · English Comprehension · Synonyms
Logical Reasoning · 15 questions
- Q1Given below is a statement followed by four possible reasons numbered I to IV. — A major metropolitan city witnessed a…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Statements & Assumptions
- Q2A, B, C, D, E, F and G each scored a different mark in an exam and all marks were integers. Only three people scored…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Ranking
- Q3Postage stamps are sold in only two denominations, 5 rupees and 8 rupees, and any number of each may be used. In the…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q4In a certain code language, — A + B means 'A is the mother of B'. — A − B means 'A is the son of B'. — A × B means 'A…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Blood Relations
- Q5Which one of the following CANNOT be the number finally left?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q6Suppose instead of 1 to 20 the numbers 1 to 21 are written on the board at the start, and the same moves are made…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q7As the moves are carried out, which one of the following never changes?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q8Suppose instead that the numbers written on the board at the start are 3, 6, 9, and so on up to 60, that is the first…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q9Exactly one of 100 cables is faulty. The cables can be tested in groups with any number of cables in a group. A tester…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q10A drawer holds 12 black socks, 10 blue socks and 8 grey socks, all mixed together. Socks are taken out one at a time…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q11One hundred people stand in a circle, numbered 1 to 100 clockwise. Starting with person 1, they count off round the…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
- Q12Based on the English alphabetical order, three of the following four are alike in a certain way and thus form a group.…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Odd One Out
- Q13Each of P, Q, R, S, T, U and V has an exam on a different day of the week starting from Monday and ending on Sunday of…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Arrangements
- Q14Seven students — A, B, C, D, E, F and G — sit in a row of seven seats, numbered 1 to 7 from left to right, all facing…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Arrangements
- Q15Four people must cross a narrow bridge at night. They have one torch between them, the bridge takes at most two people…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Quant Based Puzzles and Optimisation
Quant & DI · 30 questions
Set 1Line graph — annual income and expenditure, 2021 to 2025 (Q4–Q7) Q6–Q9Set 2Bar graph — units produced and sold by five factories (Q14–Q17) Q15–Q18
- Q1A rectangle has its lower vertices on the x-axis and its upper vertices on the parabola y = 12 -x² . Its sides are…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Application of Derivatives
- Q2An ellipse has foci at (−3, 0) and (3, 0), and passes through ( 3, (16)/(5) ) . What is the length of its latus rectum?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Conic Sections
- Q3For x > 1 , using principal values of inverse trigonometric functions, sin^(-1) ( (2x)/(1 +x²) ) equals:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Inverse Trigonometric Functions
- Q4Evaluate: lim_x to 2(x²- 4)/(x - 2) .IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Limits
- Q5If then, for a positive integer n, Aⁿ equals:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Matrices
- Q6In which year was profit as a percentage of expenditure the highest?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI
- Q7What was the total profit over the five years?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Line Graph
- Q8In 2026, expenditure rises by 25% over 2025. If the company targets a profit equal to 25% of its income, what income…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Line Graph
- Q9For 2022 and 2023 combined, what was profit as a percentage of total expenditure? Round to two decimal places.IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Line Graph
- Q10Bag I contains 2 red and 3 blue balls. Bag II contains 4 red and 1 blue ball. A bag is selected with equal…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Probability
- Q11The equation of the line passing through (2, −1) with slope 3 is:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Straight Lines
- Q12Five observations x_1,x_2, ...,x_5 are transformed using y_i= 2x_i- 3 . If sum_i=1⁵y_i= 35 and sum_i=1⁵y_i²= 325 ,…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Statistics
- Q13Evaluate: int_0¹(x)/(1 +x²)dx .IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Definite Integrals
- Q14The value of ( 1 + i )² , where i²= -1 , is:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Complex Numbers
- Q15Which factory has the greatest number of unsold units?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Bar Graph
- Q16What percentage of the total units produced by all five factories was sold?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Bar Graph
- Q17What is the ratio of the combined unsold units of factories B and D to the combined unsold units of factories A and E?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Bar Graph
- Q18In the next month, factory D increases production by 20% and sells 90% of its new production. By what percentage will…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Bar Graph
- Q19How many five-digit numbers divisible by 5 can be formed using the digits 0, 1, 2, 3, 4, 5, 6, without repetition, if…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Permutation and Combination
- Q20What is the shortest distance between the lines below, where s, t are real numbers?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Three Dimensional Geometry
- Q21A relation R on mathbbZ is defined by aRb Leftrightarrow a - b is divisible by 3. Which statement is correct?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Relations and Functions
- Q22The first three terms of an increasing geometric progression are positive. Their sum is 26, and their product is 216.…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Sequences and Series
- Q23If sinθ + cosθ = (1)/(2) , what is the value of cos4θ ?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Trigonometric Identities
- Q24The term independent of x in the expansion of (x²- (2)/(x) )⁶ , x ≠ 0 , is:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Binomial Theorem
- Q25The domain of the real-valued function f ( x ) = (√(x - 1))/(x - 3) is:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Functions
- Q26For which real value of k does the following system have no solution? kx + y + z = 1, x + ky + z = 1, x + y + kz =k²IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Determinants
- Q27The function is differentiable at x = 1. Find (a, b).IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Continuity and Differentiability
- Q28In a group of 60 students, 35 study Mathematics, 30 study Physics, and 25 study Chemistry. Also, 15 study Mathematics…IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Set Theory and Venn Diagrams
- Q29The solution of (dy)/(dx)= 2x , y ( 0 ) = 3 , is:IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Differential Equations
- Q30What is the total area enclosed between the curves y = |x| and y =x²- 2 ?IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Area Under Curves