Question:medium
If $A \setminus B = \{a, b\}$, $B \setminus A = \{c, d\}$ and $A \cap B = \{e, f\}$, then the set $B$ is equal to:
If $A \setminus B = \{a, b\}$, $B \setminus A = \{c, d\}$ and $A \cap B = \{e, f\}$, then the set $B$ is equal to:
Show Hint
A Venn diagram is extremely helpful for set theory. $B$ is the entire right circle, which consists of the "moon" shape ($B \setminus A$) and the middle "football" shape ($A \cap B$). Simply sum the elements in these two regions.
Updated On: May 2, 2026
- $\{a, b, c, d\}$
- $\{e, f, c, d\}$
- $\{a, b, e, f\}$
- $\{c, d, a, e\}$
- $\{d, e, a, b\}$
Show Solution
The Correct Option is B
Solution and Explanation
Was this answer helpful?
0
Top Questions on sets
- The modulus of the complex number \( z \) such that \( |z + 3 - i| = 1 \) and \( \arg(z) = \pi \) is equal to:
- If \( a>0, b>0, c>0 \) and \( a, b, c \) are distinct, then \( (a + b)(b + c)(c + a) \) is greater than:
- In a statistical investigation of 1003 families of Calcutta, it was found that 63 families have neither a radio nor a TV, 794 families have a radio, and 187 have a TV. The number of families having both a radio and a TV is:
- Number of subsets of set of letters of word 'MONOTONE' is:
- Want to practice more? Try solving extra ecology questions todayView All Questions
