Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If A and B are two sets containing 13 and 20 elements respectively, then find the minmum and maximum number of elements in AUB A B 13 20 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 2) If A and B are two sets containing 14 and 26 elements respectively, then find the minmum and maximum number of elements in AUB A B 14 26 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 3) If A and B are two sets containing 18 and 23 elements respectively, then find the minmum and maximum number of elements in AUB A B 18 23 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 4) If A and B are two sets containing 19 and 30 elements respectively, then find the minmum and maximum number of elements in AUB A B 19 30 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 5) If A and B are two sets containing 14 and 20 elements respectively, then find the minmum and maximum number of elements in AUB A B 14 20 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 6) If A and B are two sets containing 19 and 23 elements respectively, then find the minmum and maximum number of elements in AUB A B 19 23 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 7) If A and B are two sets containing 13 and 24 elements respectively, then find the minmum and maximum number of elements in AUB A B 13 24 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 8) If A and B are two sets containing 12 and 29 elements respectively, then find the minmum and maximum number of elements in AUB A B 12 29 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 9) If A and B are two sets containing 15 and 22 elements respectively, then find the minmum and maximum number of elements in AUB A B 15 22 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 10) If A and B are two sets containing 15 and 20 elements respectively, then find the minmum and maximum number of elements in AUB A B 15 20 Minimum n(AUB) = maximum n(AUB) = Answer:_______________ |
| 1) If A and B are two sets containing 13 and 20 elements respectively, then find the minmum and maximum number of elements in AUB A B 13 20 Minimum n(AUB) = Answer: 20 maximum n(AUB) = Answer: 33 SOLUTION 1 : n(A) = 13 n(B) = 20 Hint : minimum = maximum of 13 and 20 = 20 minimum n(AUB) = 20 maximum n(AUB) = 13 + 20 = 33
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| 2) If A and B are two sets containing 14 and 26 elements respectively, then find the minmum and maximum number of elements in AUB A B 14 26 Minimum n(AUB) = Answer: 26 maximum n(AUB) = Answer: 40 SOLUTION 1 : n(A) = 14 n(B) = 26 Hint : minimum = maximum of 14 and 26 = 26 minimum n(AUB) = 26 maximum n(AUB) = 14 + 26 = 40
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| 3) If A and B are two sets containing 18 and 23 elements respectively, then find the minmum and maximum number of elements in AUB A B 18 23 Minimum n(AUB) = Answer: 23 maximum n(AUB) = Answer: 41 SOLUTION 1 : n(A) = 18 n(B) = 23 Hint : minimum = maximum of 18 and 23 = 23 minimum n(AUB) = 23 maximum n(AUB) = 18 + 23 = 41
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| 4) If A and B are two sets containing 19 and 30 elements respectively, then find the minmum and maximum number of elements in AUB A B 19 30 Minimum n(AUB) = Answer: 30 maximum n(AUB) = Answer: 49 SOLUTION 1 : n(A) = 19 n(B) = 30 Hint : minimum = maximum of 19 and 30 = 30 minimum n(AUB) = 30 maximum n(AUB) = 19 + 30 = 49
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| 5) If A and B are two sets containing 14 and 20 elements respectively, then find the minmum and maximum number of elements in AUB A B 14 20 Minimum n(AUB) = Answer: 20 maximum n(AUB) = Answer: 34 SOLUTION 1 : n(A) = 14 n(B) = 20 Hint : minimum = maximum of 14 and 20 = 20 minimum n(AUB) = 20 maximum n(AUB) = 14 + 20 = 34
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| 6) If A and B are two sets containing 19 and 23 elements respectively, then find the minmum and maximum number of elements in AUB A B 19 23 Minimum n(AUB) = Answer: 23 maximum n(AUB) = Answer: 42 SOLUTION 1 : n(A) = 19 n(B) = 23 Hint : minimum = maximum of 19 and 23 = 23 minimum n(AUB) = 23 maximum n(AUB) = 19 + 23 = 42
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| 7) If A and B are two sets containing 13 and 24 elements respectively, then find the minmum and maximum number of elements in AUB A B 13 24 Minimum n(AUB) = Answer: 24 maximum n(AUB) = Answer: 37 SOLUTION 1 : n(A) = 13 n(B) = 24 Hint : minimum = maximum of 13 and 24 = 24 minimum n(AUB) = 24 maximum n(AUB) = 13 + 24 = 37
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| 8) If A and B are two sets containing 12 and 29 elements respectively, then find the minmum and maximum number of elements in AUB A B 12 29 Minimum n(AUB) = Answer: 29 maximum n(AUB) = Answer: 41 SOLUTION 1 : n(A) = 12 n(B) = 29 Hint : minimum = maximum of 12 and 29 = 29 minimum n(AUB) = 29 maximum n(AUB) = 12 + 29 = 41
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| 9) If A and B are two sets containing 15 and 22 elements respectively, then find the minmum and maximum number of elements in AUB A B 15 22 Minimum n(AUB) = Answer: 22 maximum n(AUB) = Answer: 37 SOLUTION 1 : n(A) = 15 n(B) = 22 Hint : minimum = maximum of 15 and 22 = 22 minimum n(AUB) = 22 maximum n(AUB) = 15 + 22 = 37
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| 10) If A and B are two sets containing 15 and 20 elements respectively, then find the minmum and maximum number of elements in AUB A B 15 20 Minimum n(AUB) = Answer: 20 maximum n(AUB) = Answer: 35 SOLUTION 1 : n(A) = 15 n(B) = 20 Hint : minimum = maximum of 15 and 20 = 20 minimum n(AUB) = 20 maximum n(AUB) = 15 + 20 = 35
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