CAT Preparation – Probability Question 04

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Question: A boss decides to distribute Rs. 2000 between 2 employees. He knows X deserves more that Y, but does not know how much more. So he decides to arbitrarily break Rs. 2000 into two parts and give X the bigger part. What is the chance that X gets...

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CAT Preparation – Probability Question 02

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Question: If all the rearrangements of the word AMAZON are considered, what is the probability that M will feature between the 2As? (0:08) A) 1/3 B) 1/6 C) 2/5 D) 3/8 For more CAT questions from Probability, visit – http://iim-cat-questions-answers.2iim.com/quant/permutation-probability/ For CAT level Questions and video solutions – https://online.2iim.com/youtube-cat-live-classes/...

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CAT Preparation – Probability Question 01

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Question: A and B take part in a duel. A can strike with an accuracy of 0.6. B can strike with an accuracy of 0.8. A has the first shot, post which they strike alternately. What is the probability that A wins the duel? (0:07) A) 7/10 B) 15/...

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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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