MCQ
Find the area of x2 + y2 = 49:
- A154
- B49
- C88
- DNone
Solution:
Th eequation x2 + y2 = 49 describes a circle with 7 as radius So the area is given as $\pi\text{r}^2$
$=\frac{22}{7}\times7^2=154$
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Equation of vertical line to the left of y-axis at 5 units from y-axis is:
The coefficient of x5 in the expansion of $(1+\text{x})^{21}+(1+\text{x})^{22}+...+(1+\text{x})^{30}$
${^\text{51}}\text{C}_{\text{5}}$
${^\text{9}}\text{C}_{\text{5}}$
${^\text{31}}\text{C}_{\text{6}}-{^\text{21}}\text{C}_{\text{6}}$
${^\text{30}}\text{C}_{\text{5}}+{^\text{20}}\text{C}_{\text{5}}$
A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without repetitions. The total number of ways this can be done is.
[Hint: 5 digit numbers can be formed using digits 0, 1, 2, 4, 5 or by using digits 1, 2, 3, 4, 5 since sum of digits in these cases is divisible by 3.]
Two dice are thrown simultaneously. The probability of obtaining a total score of 5 is: