Actual IPMAT - Indore questions on this topic from past papers, newest first. Each links back to its paper.
Eight teams take part in a tournament where each team plays against every other team exactly once. In a particular year, one team got suspended after playing 3 matches, due to a disciplinary issue. The organizers decide to proceed, nonetheless, with the remaining matches. The total number of matches that were played in the tournament that year is
Answer: 24
A written solution for this question isn't available yet.
Five teams-A, B, C, D, and E — each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal.
The following additional information is available
The number of teams having more geologists than biologists is ______
Answer: 2
A written solution for this question isn't available yet.
The median number of biologists across five teams is
Answer: 6
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The table given below provides the details of monthly sales (in lakhs of rupees) and the value of products returned by the customers (as a percentage of sales) of an e-commerce company for three product categories for the year 2024. Net sales (in lakhs of rupees) is defined as the difference between sales (in lakhs of rupees) and the value of products returned (in lakhs of rupees).
Which month had highest percentage decline in monthly sales as compared to previous month for the Apparel category?
Answer: D
A written solution for this question isn't available yet.
For which categories the value of the products returned (as a percentage of sales) increased for three consecutive months?
Answer: C
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By what percentage the net sales for June increased as compared to May in the Footwear category?
Answer: A
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Among the following four months, for which month the contribution of the Apparel category in the total monthly sales was the highest?
Answer: B
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Among the following four months, for which month the value of the Footwear returned (in lakhs of rupees) was the highest?
Answer: B
A written solution for this question isn't available yet.
In a class, 60% and 68% of students passed their Physics and Mathematics examinations respectively. Then atleast ________ percentage of students passed both their Physics and Mathematics examinations.
Answer: 28
Let the percentage of students who passed in both the subjects is 'x' and those who failed in both the subjects is 'n'.
Now, P ∪ M = P + M - P ∩ M
⇒ 100 - n = 60 + 68 - x
⇒ x = n + 28
x will be least when n is least. Least value of n can be 0, hence least value of x = 28
Hence, 28.
Out of 80 students who appeared for the school exams in Mathematics (M), Physics (P) and Chemistry (C), 50 passed M , 30 passed P and 40 passed C. At most 20 students passed M and P at most 20 students passed P and C and at most 20 students passed C and M. The maximum number of students who could have passed all three exams is __________.
Answer: 20
To maximise the number of students who passed in all the three exams we will assume that no one failed in all the three exams.
∴ M ∪ P ∪ C = M + P + C - M ∩ P - P ∩ C - C ∩ M + M ∩ P ∩ C
⇒ M ∪ P ∪ C - (M + P + C) + M ∩ P + P ∩ C + C ∩ M = M ∩ P ∩ C
To maximise the number of students who passed in all the three exams we need to maximise M ∩ P and P ∩ C and C ∩ M.
Maximum value of M ∩ P =20, that of P ∩ C =20 and that of C ∩ M = 20
∴ 80 - (50 + 30 + 40) + 20 + 20 + 20 + M ∩ P ∩ C
⇒ 20 = M ∩ P ∩ C
Hence, 20.
In a school 70% of the boys like cricket and 50% like football. If x% like both Cricket and Football, then
Answer: A
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In a class of 65 students 40 like cricket, 25 like football and 20 like hockey. 10 students like both cricket and football, 8 students like football and hockey and 5 students like all three sports. If all the students like at least one sport, then the number of students who like both cricket and hockey is
Answer: A
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