Q63.Let A = {n ∈[100, 700] ∩N : n is neither a multiple of 3 nor a multiple of 4 }. Then the number of elements in A is (1) 290 (2) 280 (3) 300 (4) 310
What This Question Tests
This question evaluates the understanding of set theory and the Principle of Inclusion-Exclusion to count elements within a given range that are neither multiples of 3 nor 4.
Concepts Tested
Formulas Used
|A ∪ B| = |A| + |B| - |A ∩ B|
Number of multiples of k in [a, b] = ⌊b/k⌋ - ⌊(a-1)/k⌋
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14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Cardinality of sets, Principle of Inclusion-Exclusion
- Year
- 2024
- Shift
- 06 Apr Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 1: Sets
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