List of top Mathematics Questions on sets asked in BITSAT

Number of subsets of set of letters of word 'MONOTONE' is:

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:

If \( a>0, b>0, c>0 \) and \( a, b, c \) are distinct, then \( (a + b)(b + c)(c + a) \) is greater than:

The modulus of the complex number \( z \) such that \( |z + 3 - i| = 1 \) and \( \arg(z) = \pi \) is equal to:

Universal set:
\[ U = \{ x \mid x^5 - 6x^4 + 11x^3 - 6x^2 = 0 \} \]

Subsets:
\[ A = \{ x \mid x^2 - 5x + 6 = 0 \}, \quad B = \{ x \mid x^2 - 3x + 2 = 0 \} \]

Find: \[ (A \cap B)' \]

Let \(A, B, C\) be finite sets. Suppose that \(n(A) = 10\), \(n(B) = 15\), \(n(C) = 20\), \(n(A \cap B) = 8\), and \(n(B \cap C) = 9\). Then the possible value of \(n(A \cup B \cup C)\) is

Universal set, \[ U=\{x\mid x^5-6x^4+11x^3-6x^2=0\}; \quad A=\{x\mid x^2-5x+6=0\}; \quad B=\{x\mid x^2-3x+2=0\}. \] What is \((A\cap B)'\)?

Let A and B be two sets then \( (A \cup B) \cup (A \cap B) \) is equal to:

Let A=\x:x R, |x|<1 B=\x:x R, |x-1| 1 and A B=R-D, then the set D is