Q. If $A\times B=H\times L$, then $L=$

1. $\frac{A\times H}{B}$
2. $\frac{A\times B}{H}$
3. $\frac{H}{A\times B}$
4. $\frac{B\times H}{A}$

Q. If $16,x$ and $25$ are in G.P. then the value of $x$ is

1. $10$
2. $4$
3. $5$
4. $20$

Q. Among $9$ passengers, $5$ can speak Kannada, $2$ can speak both Kannada and English. The number of passengers who can speak only English is

1. $6$
2. $4$
3. $5$
4. $3$

Q. If $x+2\equiv 4\left(\mathrm{mod}5\right)$, then the value of $x$ is

1. $5$
2. $7$
3. $4$
4. $3$

Q. The set of residues of modulo $Z_4$ is

1. $\{1,2,3,4\}$
2. $\{0,1,2,3\}$
3. $\{0,1,2,3,4\}$
4. $\{0,1,2\}$

Q. The formula for the total surface area of a cone is ___________.

Q. The formula for coefficient of variation (C.V.) is given by _______________.

Q. The product of the roots of equation $2m^2-8m=0$ is

1. $4$
2. $-8$
3. $2$
4. $0$

Q. If one factor of $a^4+a^2{b}^2+b^4$ is $a^2+b^2+ab$, then the other factor is

1. $a^2+b^2-ab$
2. $a^2+b^2+c^2$
3. $a^3+b^3+c^3$
4. $a^2+b^2+ab$

Q. The value of ${}^n{C}_r-$ ${}^n{C}_{n-r}=$ ______________.

Q. If the last remainder is a constant and not zero, then the H.C.F. of two expressions is _____________.

Q. In a quadratic equation $a{x}^2+bx+c=0$, the product of the roots of the equation is ____________.

Q. If two circles of radii $5cm$ and $3cm$ touch each other internally, then the distance between their centres is equal to ____________.

Q. If $U=\{0,1,2,3,4\},A=\{0,2,4\}$ and $B=\{1,2,3\}$ then $U-B=$

1. $\{0,4\}$
2. $\{1,3\}$
3. $\{0,3\}$
4. $\{3,4\}$

Q. The surface area of a solid hemisphere is

1. $\pi r^2$
2. $4\pi r^2$
3. $3\pi r^2$
4. $\frac{4}{3}\pi r^2$

Q. In a geometric progression, $S_{2n}÷S_n$ is equal to

1. $\frac{r^n+1}{r^n-1}$
2. $r^n+1$
3. $r^{n+1}$
4. $r^n-1$

Q. The sixth and tenth terms of a Geometric Progression are $63$ and $5103$ respectively. Find the first term and common ratio.

Q. The value of $\sum _{p,q,r}^{}{p}^2-\sum _{p,q,r}^{}{q}^2$ is

1. $p^2+q^2+r^2$
2. $0$
3. $2p^2+2q^2+2r^2$
4. $p+q+r$

Q. If $a:b=c:d$, then the correct relationship is

1. $\frac{d}{a}=\frac{b}{c}$
2. $\frac{a}{d}=\frac{b}{c}$
3. $\frac{a}{b}=\frac{b}{a}$
4. $\frac{d}{b}=\frac{c}{a}$

Q. The product of $\sqrt{a^{2}b}$ and $\sqrt{ab}$ is

1. $ab\sqrt{a}$
2. $b\sqrt{ab}$
3. $a\sqrt{ab}$
4. $\sqrt{ab}$

Q. The standard form of an adfected quadratic equation is ______________.

Q. The H.C.F. of $x^3+y^3$ and $x^2-xy+y^2$ is

1. $x+y$
2. $x^2-xy+y^2$
3. $x^3+y^3$
4. ${(x+y)}^3$

Q. Sum of a number and its reciprocal is $5\frac{1}{5}$. Then the required equation is

1. $y^2+\frac{1}{y}=\frac{26}{5}$
2. $5y^2-26y+5=0$
3. $y^2+\frac{1}{y}+\frac{26}{5}=0$
4. $5y^2+26y+5=0$

Q. If $A$ and $B$ are two disjoint sets, then the relation between them is

1. $n(A\cup B)=n\left(A\right)+n\left(B\right)$
2. $n\left(A\right)+n\left(B\right)=n(A\cup B)+n\left(AIB\right)$
3. $n\left(AIB\right)=n\left(A\right)+n\left(B\right)$
4. $n(A\cup B)=n\left(AIB\right)$

Q. Euler's formula for polyhedral solids is

1. $N+R=A+2$
2. $F+V=E+2$
3. $F+E=V+2$
4. $N+A=R+2$

Q. If $X=\{1,2,3,5,7,11\}$
$Y=\{2,4,6,8,10\}$
$Z=\{1,3,5,7,9,11\}$
Then show that union of sets is distributive over intersection of sets.

Q. Circles having the same centre but different radii are called ____________.

Q. If $v^2=u^2+2as$, then $u=$

1. $v^2-2as$
2. $\pm \sqrt{2as-v^2}$
3. $\pm \sqrt{v^2+2as}$
4. $\pm \sqrt{v^2-2as}$

Q. The formula for $n^{th}$ term of a geometric progression is __________.

Q. The height of a hollow cylinder is $7cm$ and its radius is $3.5cm$. Then the surface area is

1. $231{cm}^2$
2. $154{cm}^2$
3. $308{cm}^2$
4. $115.5{cm}^2$