Number Theory on Data Structure and Algorithms related Questions and Answers

Question 1 : Let A={1,2,3} B={2,3,4} C={1,3,5} D={2,3}. Find the cardinality of sum of all the sets.
1. 6
2. 5
3. 4
4. 7
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Question 2 : Using the inclusion-exclusion principle, find the number of integers from a set of 1-100 that are not divisible by 2, 3 and 5.
1. 22
2. 25
3. 26
4. 33
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Question 3 : According to inclusion-exclusion principle, a n-tuple wise intersection is included if n is even.
1. True
2. False
3.
4.
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Question 4 : Number of elements in the power set of set S={1,2,2} will be?
1. 2
2. 4
3. 6
4. 8
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Question 5 : Number of elements in the power set of set S={1,2,3} will be?
1. 2
2. 4
3. 6
4. 8
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Question 6 : What will be the lexicographical order of combinations of 2 elements each formed from the array arr={1,2,3}?
1. {{2,1},{3,2},{3,1}}
2. {{1,2},{2,3},{1,3}}
3. {{1,2},{1,3},{2,3}}
4. {{2,1},{3,1},{3,2}}
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Question 7 : How many combinations of 2 elements will be formed from the array arr={1,2,3}?
1. 1
2. 2
3. 3
4. 4
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Question 9 : How many permutations will be formed from the array arr={1,2,3}?
1. 2
2. 4
3. 6
4. 8
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Question 10 : What is the formula to calculate the element present in second row, first column of the product matrix?
1. M1+M7
2. M1+M3
3. M2+M4 - M5 + M7
4. M2+M4
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