Explore topic-wise InterviewSolutions in Current Affairs.

Choose
the most appropriate answer.

(i)
In a SHG most of the decisions regarding savings and loan activities
are taken by

(a)
Bank.

(b)
Members.

(c)
Non-government organisation.

(ii)
Formal sources of credit does not include

(a)
Banks.

(b)
Cooperatives.

(c)
Employers.

AB is a chord of a circle with centre O. If $\angle AOB={50}^{\circ }$ and AB = 18 cm, the diameter of the circle will be equal to $sin{25}^{\circ }=0.42$

Find the ${10}^{th}$ term of the series ${1.2}^2+{2.3}^2+{3.4}^2+-------nterms$.

Find the roots of the following equations

(1) x(x − 3) = 0

(2) a(a + 5) = 0

(3) m² − 4m = 0

(4) 3k² + 6k = 0

(5) (y + 6) (y + 9) = 0

(6) (b − 3) (b − 5) = 0

(7) (2n + 1) (3n − 2) = 0

(8) (5z − 2) (7z + 3) = 0

If $x=rsinAcosB,y=rsinAsinBandz=rcosA,thenprovethat:x^2+y^2+z^2=r^2$

What is the ratio $\frac{AC}{BC}$ for the following construction:

A line segment AB is drawn.

A single ray is extended from A and 12 arcs of equal lengths are cut, cutting the ray at $A_1,A_2\dots A_{12}$.

A line is drawn from $A_{12}$ to B and a line parallel to $A_{12}B$ is drawn, passing through the point $A_6$ and cutting AB at C.

When the polynomial $2x^3-a{x}^2+9x-8$ is divided by $x-3$, the remainder is $28$. Find the value of $a$.

Question 1 (i)

Solve the following pairs of equations by reducing them to a pair of linear equations:

$\frac{1}{2x}+\frac{1}{3y}=2$

$\frac{1}{3x}+\frac{1}{2y}=\frac{13}{6}$

In the given figure, ABCD is a cyclic quadrilateral, OB is the radius, PB is the tangent at point B and $\angle OBC={30}^{\circ }$. AOC is a straight line. Then, the value of x is

AC and BC are two equal chords of a circle with diameter AB forming a $\Delta ABC$ as shown in the figure. If the radius of the circle is 5 cm. find the length of the equal chords.

A quadrilateral ABCD is drawn to circumscribe a circle, as shown in the figure. Prove that AB + CD = AD + BC [1 MARK]

The median class for the given data is

$$\begin{array}{ccccccc}Height\left(incm\right)& Lessthan140& Lessthan145& Lessthan150& Lessthan155& Lessthan160& Lessthan165\\ No.ofgirls\left(cf\right)& 4& 11& 29& 40& 46& 51\end{array}$$

In a sequence ( in x ) follows the form 0.5x + 2x - 10 find the 10th term.

In the given figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If $\angle DBC={55}^{\circ }$ and $\angle BAC={45}^{\circ }$, then $\angle BCD$ = ___ .

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. Using the above, do the following:

In fig., O is the center of the two concentric circles. AB is a chord of the larger circle touching the smaller circle at C. Prove that AC = BC

The number $lo{g}_{20}$ 3 lies in

The sum of the series $1+2.2+{3.2}^2+{4.2}^3+{5.2}^4+\cdots +{100.2}^{99}$ is

If BP:PC = 1:2 and area $\Delta$CPQ = 20 sq.cm, then which of the shaded regions has an area of 10sq.cm.

In $△\text{ABC}$, AB=8 cm, $\angle A={45}^{\circ }$, $\angle B={60}^{\circ }$.

Find the area of the triangle.

Two numbers are in the ratio of 15:11. If their H.C.F is 13, the numbers will be:

Identify the tense of the sentence.

He has been drinking tea since his childhood.

Factorize $\sqrt{5}$ $x^2$ + 8x + 3$\sqrt{5}$ = 0 into the form $\sqrt{5}$ $x^2$ + px + qx +3$\sqrt{5}$ = 0.Find the value of p and q.

In the given figure, if PQ is the diameter, then x is equal to ?

A worker is paid rupees $750$ for $6$ days work . If he works for $23$ days how much will he get?

The HCF and LCM of 2 numbers are 4 and 24 respectively .If one number is 8, find the other number.

Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___

The radius of a circle is given as 15 cm and chord AB subtends an angle of ${131}^{\circ }$ at the centre C of the circle. Using trigonometry, calculate :

(i) the length of AB;

(ii) the distance of AB from the centre C.

Two identical cubes of side 4 cm are placed one above the other, forming a cuboid. The total surface area of the cuboid thus formed is .