MCQ
If A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5}, then (A - B) × (B - C) is:
- A{(1, 2), (1, 5), (2, 5)}
- B{(1, 4)}
- C(1, 4)
- Dnone of these.
Solution:
A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}
(A - B) = {1}
(B - C) = {4}
So, (A - B) × (B - C) = {(1, 4)}
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If $\text{f}(\text{x})=\frac{\text{x}^{\text{n}}-\text{a}^{\text{n}}}{\text{x}-\text{a}}$ for some constant, a, then f'(a) is equal to:
Without repetition of the numbers, four digit numbers are formed with the numbers 0, 2, 3, 5. The probability of such a number divisible by 5 is:
$\frac{1}{5}$
$\frac{4}{5}$
$\frac{1}{30}$
$\frac{5}{9}$