CAT Preparation – Set Theory Question 06

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Question: Set A comprises all three digit numbers that are multiples of 5, Set B comprises all three–digit even numbers that are multiples of 3 and Set C comprises all three–digit numbers that are multiples of 4. How many elements are present in A∪B∪C? A) 420 B) 405 C)...

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CAT Preparation – Set Theory Question 05

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Question: Of 60 students in a class, anyone who has chosen to study maths elects to do physics as well. But no one does maths and chemistry, 16 do physics and chemistry. All the students do at least one of the three subjects and the number of people who...

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CAT Preparation – Set Theory Question 04

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Question: 95% of the students in a class have taken Marketing, 80% have chosen Finance, 84% have chosen operations (ops), and 90% have chosen Human Resources (HR). What is the maximum and minimum percentage of people who have chosen all of the four? A) 80% and 56% B) 95%...

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CAT Preparation – Set Theory Question 03

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Question: A´ is defined as the complement of A, as in, set of all elements that are part of the universal set but not in A. How many of the following have to be true? i. n(A∪B)′=n(A′∩B′) ii. If A∩B=0, then A′∪B′ is equal to the universal set iii....

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CAT Preparation – Set Theory Question 01

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Question: Set P comprises all multiples of 4 less than 500. Set Q comprises all odd multiples of 7 less than 500, Set R comprises all multiples of 6 less than 500. How many elements are present in P∪Q∪R ? A) 202 B) 243 C) 228 D) 186 For more CAT...

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CAT Preparation – Inequalities Question 05

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Question: If a, b, c are integers such that a, b, c lie between -50 and +50; and a + b + c = 30, what is the maximum possible value of abc? A) 1000 B) 5000 C) 4410 D) 4560 For more CAT questions from Inequalities, visit –...

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CAT Preparation – Inequalities Question 04

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Question: For how many integer values does the following inequality hold good? (x + 2) (x + 4) (x + 6) ……..(x + 100) less than 0. A) 25 B) 50 C) 47 D) 47 For more CAT questions from Inequalities, visit – http://iim-cat-questions-answers.2iim.com/quant/algebra/inequalities/ For CAT level Questions and...

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CAT Preparation – Inequalities Question 03

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Question: Consider integers p, q such that p lies between – 3 and 4, q lies between -8 and 7, what is the maximum possible value of p^2 + pq + q^2? A) 60 B) 67 C) 93 D) 84 For more CAT questions from Inequalities, visit – http://iim-cat-questions-answers.2iim.com/quant/algebra/inequalities/...

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CAT Preparation – Inequalities Question 02

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Question: a, b, c are distinct natural numbers less than 25. What is the maximum possible value of |a – b| + |b – c| – |c – a|? A) 44 B) 46 C) 23 D) 21 For more CAT questions from Inequalities, visit – http://iim-cat-questions-answers.2iim.com/quant/algebra/inequalities/ For CAT level...

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CAT Preparation – Inequalities Question 01

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Question: If a, b, c are distinct positive integers, what is the highest value a × b × c can take if a + b + c = 31? A) 1080 B) 1200 C) 1024 D) 1056 For more CAT questions from Inequalities, visit – http://iim-cat-questions-answers.2iim.com/quant/algebra/inequalities/ For CAT level...

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