Set Concepts
ICSE · Class 7 · Mathematics
Most important questions from Set Concepts for ICSE Class 7 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
Set A has 14 elements and set B has 9 elements. If n(A ∩ B) = 5, find n(B - A).
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4
Use n(B - A) = n(B) - n(A ∩ B). So, 9 - 5 = 4.
A set has 4 elements. Find the number of subsets and the number of proper subsets.
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16 subsets and 15 proper subsets
Number of subsets = 2^n. Here n = 4, so 2^4 = 16. Number of proper subsets = 2^n - 1 = 16 - 1 = 15.
A set has 5 elements. How many proper subsets does it have?
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31
Number of proper subsets = 2^n - 1. For n = 5, 2^5 - 1 = 32 - 1 = 31.
Set A = {2, 4, 6, 8, 10} and set B = {4, 8, 12}. Find n(A ∪ B).
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6
First find A ∪ B = {2, 4, 6, 8, 10, 12}. It has 6 elements, so n(A ∪ B) = 6.
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