Explore topic-wise InterviewSolutions in Current Affairs.

What is the rate of simple interest per annum if, Rs 1000 amounts to Rs 1900 in 3 years?

1 cubic metre = ___ litres

In the figure below, $\angle ACB={40}^{\circ }$ and $BC=AC.$ Also, $E$ is the mid-point of $AB.\angle ACE$ is equal to

The median class for the given data is ____________

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

If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, what is the value of ' a ' ?

If the ordinate (value of the '$y$' coordinate) is twice the abscissa (value of the '$x$' coordinate), then find the point where $7x-3y=8$.

Match the following:

$\begin{array}{cc}\text{Quadrilateral}& \text{Properties}\\ \text{1. Trapezium}& \text{A) A parallelogram, where diagonals bisect at right}\text{angles, all sides are equal and none}\text{of the angles are equal to}{90}^{\circ }\\ \text{2. Square}& \text{B) A quadrilateral, where only one pair}\text{of opposite sides is parallel and unequal}\\ \text{3. Rectangle}& \text{C) A parallelogram, where diagonals are equal,}\text{all sides equal and all the angles are}{90}^{\circ }\\ \text{4. Rhombus}& \text{D) A parallelogram, where diagonals and}\text{opposite sides are equal, and all the angles are}{90}^{\circ }\end{array}$

ABCD is a rhombus if $\angle A={65}^{\circ }$, find $\angle CDB$.

In the given figure, equilateral $△$ABC is inscribed in a circle and ABCD is a quadrilateral, as shown. Then $\angle$BDC = ?

(a) ${90}^{\circ }$

(b) ${60}^{\circ }$

(c) ${120}^{\circ }$

(d) ${150}^{\circ }$

Two students A and B together contributed Rs. 100 towards the Prime Minister's Relief Fund to help the earthquake victims, Write a linear equation to satisfy the above data and draw its graph.

If $\frac{a}{b}+\frac{b}{a}=1$ then $(a^3-b^3)$=?
(a) -3 (b) -2 (c) -1 (d) 0

The mean weight of six boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 kg, 46 kg and 44 kg. The weight of the 6th boy is
(a) 52 kg
(b) 52.8 kg
(c) 53 kg
(d) 47 kg

The midpoints of the sides AB, BC, CD and DA of a quadrilateral ABCD are joined to form a quadrilateral. If AC = BD and AC $\perp$ BD then prove that the quadrilateral formed is a square.

Factorise:
$(3a+5b{)}^2-4c^2$

The mean weight per student in a group of 7 students is 55 kg.The individual weight of 6 of them (in kg) are 52,54,55,53,56 and 54.Find the weight of the seventh student.

The sum of a two digit number and the number formed by interchanging the digits is 132. If 12 is added to the number, the new number becomes 5 times the sum of the digits. Find the number.

ABCD is a cyclic quadrilateral, in which $\angle$DBC =80${}^{\circ }$ and $\angle$BAC = 40${}^{\circ }$ . Find $\angle$BCD.

Two angles whose measures are a & b are such that 2a - 3b = 60${}^{\circ }$ then 5b =

If the mean of the data is 60, find the value of p

$\begin{array}{cc}Classmark& frequency\\ 25-35& 12\\ 35-45& 16\\ 45-55& p\\ 55-65& 15\\ 65-75& 8\\ 75-85& 19\\ 85-95& 13\end{array}$

In the given figure, AB is the diameter of the circle with centre O.

If $\angle ADC={32}^{\circ },$ find angle BOC.

Every point on the number line is of the form $\sqrt{m},$ where m is a natural number. State true or false

What will the graph of a linear equation in two variables look like on the cartesian plane?

Which of the following is a factor of $(49x^2-1)+(1+7x{)}^2$?

In $\Delta$ABC, AB = AC and the bisectors of angles B and C intersect at point O. Prove that BO = CO and the ray AO is the bisector of angle BAC.
[4 MARKS]

Assertion: If $x\ne y$, then $(x,y)\ne (y,x)$
Reason: If x=y, then $(x,y)\ne (y,x)$
Which of the following is correct?

Let $\overrightarrow{p},\overrightarrow{q},\overrightarrow{r}$ be three mutually perpendicular vectors of the same magnitude. If a vector $\overrightarrow{x}$ satisfies the equation
$\overrightarrow{p}\left[\right(\overrightarrow{x}-\overrightarrow{q})\times \overrightarrow{p}]+\overrightarrow{q}\times \left[\right(\overrightarrow{x}-\overrightarrow{r})\times \overrightarrow{q}]+\overrightarrow{r}\times \left[\right(\overrightarrow{x}-\overrightarrow{p})\times \overrightarrow{r}]=\overrightarrow{0}$, then $\overrightarrow{x}$ is given by

In the given figure, l $\parallel$ m and M is the mid-point of the line segment AB. Which of the following options are correct?

The difference between two positive numbers x and y is 4 and the difference between their reciprocal is 4÷21. Find the numbers.

Find two irrational numbers between 0.16 and 0.17

Find the total surface area of a cubical box of side '$a$' cm in which top surface is missing.

The shadow of a 3m long stick is 4m long. At the same time of the day, if the shadow of a flagstaff is 24 long, how tall is the flagstaff?

In the figure given below, lines RS and PQ intersect each other at point O.
$\text{If}\angle POR:\angle ROQ=5:9,$
find $\angle SOQ$.

1. 80

The relation R is defined on the set of natural numbers as {(a,b) : a = 2b}. Then $R^{-1}$ is given by

Which of the following rational numbers lie betwen $\frac{3}{7}$ and $\frac{4}{8}$ ?

If $a^2+b^2+c^2=20,a+b+c=0,findab+bc+ca.$

Find the quotient when $8\sqrt{3}$ is divided by $\sqrt{1}2$.

Evaluate: 30³ + 20³ – 50³.

The tops of two poles of height 14 m and 20 m are connected by a wire which makes an angle of 30° with the horizontal. What is the length of the wire?

In right triangled ABC right angled at B ,a line DE is drawn through the mid point D of AB and parallel to BC.If AB=9 cm, BC=12 cm. AE=?

Cardinal number of the set $G=\{x:x\in N,5<x<9\}$ is __.

$\frac{1}{1.2}$ + $\frac{1}{2.3}$ + $\frac{1}{3.4}$ +.......+ ......... $\frac{1}{n.(n+1)}$ equals

The fifth of the H.P. 2,$\frac{5}{2}$,$\frac{10}{3}$,................. will be

Question 40

If the area occupied by 15 postal, stamps is $60c{m}^2$,then the area occupied by 120 such postal stamps will be___.

Question 7 (iii)
In the below figure, altitudes AD and CE of $\Delta ABC$ intersect each other at the point P. Show that


(iii) $\Delta AEP\sim \Delta ADB$