Maths Practice Questions & Answers

The series $x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{4}+\frac{x^{5}}{5}+.....$ converges in :

The series $x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{4}+\frac{x^{5}}{5}+.....$ converges in :
1). $22). $\mid x\mid>1$
3). $-14). $x<-1$

If at least one child in a family with 2 children is a boy, then the probability that both children are boys is:

If at least one child in a family with 2 children is a boy, then the probability that both children are boys is:
1). $\frac{1}{4}$
2). $\frac{3}{4}$
3). $\frac{1}{3}$
4). $\frac{2}{3}$

The particular solution of the differential equation $\frac{dy}{dx}=e^{(3x+4y)},y(0)=0$ is :

The particular solution of the differential equation $\frac{dy}{dx}=e^{(3x+4y)},y(0)=0$ is :
1). $4e^{3x}+3e^{-4y}=7$
2). $e^{3x}+3e^{-4y}=4$
3). $4e^{3x}+3e^{4y}=7$
4). $4e^{3x}-e^{-4y}=3$

The sum of the last 20 coefficients in the Binomial expansion of $(1+x)^{39}$, when expanded in the ascending powers of x.is:

The sum of the last 20 coefficients in the Binomial expansion of $(1+x)^{39}$, when expanded in the ascending powers of x.is:
1). $2^{39}$
2). $2^{38}$
3). $2^{18}$
4). $2^{17}$

The number of odd three-digit positive integers that have no repeated digits is :

The number of odd three-digit positive integers that have no repeated digits is :
1). 240
2). 320
3). 160
4). 128

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