Sets
[mq] DS: Set Theory – Level 2 1. How many people play exactly one sport (Tennis or Golf)?(1) 40 people play Tennis and 30 play Golf.(2) There are 60 people total, and everyone plays at least one. A. Statement (1) ALONE is sufficient. B. Statement (2) ALONE is sufficient. C. BOTH statements TOGETHER are sufficient….
[mq] DS: Set Theory – Level 1 Directions: Choose the correct option (A-E) based on sufficiency. 1. What is the number of elements in \( A \cup B \)?(1) Set A has 10 elements.(2) Set B has 15 elements, and 5 elements are in both A and B. A. Statement (1) ALONE is sufficient. B….
[mq] DS: Set Theory – Level 1 Directions: Choose the correct option (A-E) based on sufficiency. 1. What is the number of elements in \( A \cup B \)?(1) Set A has 10 elements.(2) Set B has 15 elements, and 5 elements are in both A and B. A. Statement (1) ALONE is sufficient. B….
[mq] Set Theory: Level 5 1. Set A has 40 members, Set B has 60 members. If \( A \cap B \) has 25 members, what is the number of members in \( B – A \) (in B but not in A)? 15 35 25 40 20 Check Solution (B): \( n(B – A)…
[mq] Set Theory: Level 4 1. In a survey of 100 students: 50 take Math, 40 take Physics, 30 take Chemistry. 15 take Math & Physics, 10 take Physics & Chemistry, 10 take Math & Chemistry. 20 take none of the three. How many students take all three subjects? 10 25 15 5 20 Check…
[mq] Set Theory: Level 3 (Hard) 1. In a class of 60 students, 30 study Math, 25 study Physics, and 20 study Chemistry. 10 study M&P, 8 study P&C, 7 study M&C. 3 study all three. How many study **only** Math? 10 12 15 16 13 Check Solution (D): Only M = \( M –…
[mq] Set Theory: Level 2 1. In a survey of 100 people, 60 like Coffee, 50 like Tea, and 20 like neither. How many like both? 10 20 30 40 50 Check Solution (C): Union (C or T) = Total – Neither = \( 100 – 20 = 80 \). \( 80 = 60 +…
[mq] Set Theory: Level 1 1. If Set A has 10 members, Set B has 15 members, and they have 5 members in common, how many members are in \( A \cup B \) (A or B)? 25 20 15 30 10 Check Solution (B): Formula: \( n(A \cup B) = n(A) + n(B) –…
