Equal, Equivalent and Unequal Sets
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Q. A is set of letters of the word 'SARIKA', B is set of letters of the word 'RAKASI', then A and B are
- equivalent but not equal
- equal but not equivalent
- equal and equivalent
- neither equal nor equivalent
Q. Match the following
Column AColumn B1. A={x:x is an odd natural number}a. {12, 13, 23, 34, 35, 57}2. B={x:x=(n2)}, n∈N and x<100b. {1, 4, 9, 16, 25, ........10000}3. C={x:x=nn+2, where n is a natural number and 1≤n≤6}c. {1, 4, 9, 16, 25, 36, 49, 64, 81}4. D={x:x is a letter of the word TRIGONOMETRY}d. {G, E, I, M, N, O, R, T, Y} e. {1, 3, 5, 7, 9, ...............}
Column AColumn B1. A={x:x is an odd natural number}a. {12, 13, 23, 34, 35, 57}2. B={x:x=(n2)}, n∈N and x<100b. {1, 4, 9, 16, 25, ........10000}3. C={x:x=nn+2, where n is a natural number and 1≤n≤6}c. {1, 4, 9, 16, 25, 36, 49, 64, 81}4. D={x:x is a letter of the word TRIGONOMETRY}d. {G, E, I, M, N, O, R, T, Y} e. {1, 3, 5, 7, 9, ...............}
1 - e, 2 - b, 3 - a, 4 - d
1 - e, 2 - c, 3 - a, 4 - d
1 - c, 2 - b, 3 - a, 4 - d
1 - c, 2 - b, 3 - d, 4 - e
Q. A is set of letters of the word 'debit card'
B is the set of letters of the word 'bad credit'.
Then which of the following options is/are correct ?
B is the set of letters of the word 'bad credit'.
Then which of the following options is/are correct ?
- A and B are equivalent sets
- A and B are unequal sets
- A and B are equal sets
- n(A)=n(B)
Q.
Classify the following sets which are equivalent but not equal sets.
Q. Two sets are said to be unequal if they have different elements but same cardianalities.
- True
- False
Q. A is set of letters of the word 'SARIKA', B is set of letters of the word 'RAKASI', then A and B are
- equivalent but not equal
- equal but not equivalent
- equal and equivalent
- neither equal nor equivalent
Q. The most appropriate option for the following sets
A is set of letters of the word 'debit card'
B is the set of letters of the word 'bad credit'
A is set of letters of the word 'debit card'
B is the set of letters of the word 'bad credit'
- A and B are equivalent sets
- A and B are unequal sets
- A and B are disjoint sets
- A and B are identical sets
Q. Match the following
Column AColumn B1. A={x:x is an odd natural number}a. {12, 13, 23, 34, 35, 57}2. B={x:x=(n2)}, n∈N and x<100b. {1, 4, 9, 16, 25, ........10000}3. C={x:x=nn+2, where n is a natural number and 1≤n≤6}c. {1, 4, 9, 16, 25, 36, 49, 64, 81}4. D={x:x is a letter of the word TRIGONOMETRY}d. {G, E, I, M, N, O, R, T, Y} e. {1, 3, 5, 7, 9, ...............}
Column AColumn B1. A={x:x is an odd natural number}a. {12, 13, 23, 34, 35, 57}2. B={x:x=(n2)}, n∈N and x<100b. {1, 4, 9, 16, 25, ........10000}3. C={x:x=nn+2, where n is a natural number and 1≤n≤6}c. {1, 4, 9, 16, 25, 36, 49, 64, 81}4. D={x:x is a letter of the word TRIGONOMETRY}d. {G, E, I, M, N, O, R, T, Y} e. {1, 3, 5, 7, 9, ...............}
1 - e, 2 - b, 3 - a, 4 - d
1 - e, 2 - c, 3 - a, 4 - d
1 - c, 2 - b, 3 - a, 4 - d
1 - c, 2 - b, 3 - d, 4 - e
Q. Two sets A={a, b, c, d} and B={b, c, d, x} are equal sets, iff x=
- a
- b
- c
Q. The two sets L={k:k∈I, k2−2=7} &
M={m:m∈N, 1<m<3} are
M={m:m∈N, 1<m<3} are
- Equal Sets
- Equivalent but not equal sets
- Unequal sets
Q. If R={x:x2=7}, S={x:x+4=4} and T={x:x2+2=8}, then which of the following is correct?
- R and T are equal sets.
- R and S are equal sets.
- S and T are equal sets.
- None of them are equal sets.
Q. If A and B are two sets, then A∪B=A∩B if
- A⊄B
- B⊂A
- A⊂B
- A=B