Explore topic-wise InterviewSolutions in Current Affairs.

Give two rational numbers lying between 0.515115111511115... and 0.535335333533335....

In the figure, AB and AC are two equal chords of a circle of radius 5 cm. If AB = AC = 6 cm, find the length of chord BC.

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 25 paise per $c{m}^2$ is Rs. ___

An angle is equal to 8 times its complement. Determine its measure.

If $p\left(x\right)=x^3-5x^2+4x-3$ and $g\left(x\right)=x-2$, show that p(x) is not multiple of g(x).

If $2$ and $0$ are the zeroes of the polynomial $f\left(x\right)=2x^3-5x^2+ax+b$ then find the values of $a$ and $b$.

If A(3,-4),B(4,5),C(5,-5),D(4,-10) are the vertices of a quadrilateral prove that ABCD is Rhombus?

8 (x+y)^3- 27 (x- y)^3

What is the difference between factor theorem and remainder theorem

Give equations of two lines in the same plane which are intersecting at point(2,3).

1.The graph of a Linear equation is always - answer

2.the equation of the x axis is answer

3.the equation of the y axis is answer

(Theorem 8.3 )

√2 is irrational .

Statistics is concerned with

Factorize: $(2a+b{)}^2-6a-3b-4$

$3tan\theta$ + $cot\theta$ = 5 $cosec\theta$. Solve for $\theta$, 0 ≤ $\theta$ ≤ 90.

Dividing $2x^2+13x+15$ by $x+5$ gives __________.

If A(5, 3), B(11, -5) and P(12, y) are the vertices of a right triangle, right angled at P, then y is equal to

The angle bisectors of a rectangle will form a

Prove that the points (2a,4a), (2a,6a) and (2a+√3a,5a) are vertices of an equilateral triangle.

The area of a circle can be visualised by dividing the circle into equal sectors, and rearranging the sectors to form a ___ . The area of the rearranged figure will be equal to the area of the circle.

In how many lines two distinct planes can intersect?

The volume of a cuboid is x³ – x² - 2x cubic units. If x=5 what are the dimensions?

In the given figure, O is the centre of the circle & ∠PBA = 45⁰, find ∠PQB

.

If $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ are three mutually perpendicular vectors of equal magnitude, then the angle $\theta$ which $\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}$ makes with any one of three given vectors is given by

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{\text{Area of parallelogram ABCD}}{\text{Area of triangle PAB}}$ is equal to:

__

Find the time, in years, in which Rs. 4,000 will produce Rs. 630.50 as compound interest at 5 per cent p.a. interest being compounded annually.

$\text{If}\frac{5-\sqrt{3}}{2+\sqrt{3}}=x+y\sqrt{3}$, then___________.

200 people were surveyed to see which of the four mentioned snacks below that people prefer. The data is as shown in the table.

$\begin{array}{cc}\text{Snack}& \text{Number of people}\\ \text{Pizza}& 42\\ \text{Sandwich}& 50\\ \text{Burger}& 74\\ \text{Ice cream}& 34\end{array}$

What is the probability that a person

(i) prefers ice cream
(ii) does not prefer ice cream.
(iii) are (i) and (ii) complementary? [ 1 MARK]

In a $\Delta ABC,$ if $\angle A={60}^{\circ },\angle B={80}^{\circ }$ and the bisectors of $\angle B$ and $\angle C$ meet at $O$, then $\angle BOC=$___

A hemispherical bowl is made of steel 0.25 cm thick. The inside radius of the bowl is 5 cm. Find the volume of steel used in making the bowl.

Question 26

In the following question, out of the four options, only one is correct. Write the correct answer.

The usual form for$2.03\times {10}^{-5}$ is

(a) 0.203

(b) 0.00203

(c) 203000

(d) 0.0000203

Question 94

What is the percentage increase or decrease in the number of seats won by A, B, C and D in the genetal elections of 2009 as compated to the results of 2004 ?

$\begin{array}{ccc}\text{Political party}& \text{Number of seats won in 2004}& \text{Number of seats won in 2009}\\ \text{A}& 206& 145\\ \text{B}& 116& 138\\ \text{C}& 4& 24\\ \text{D}& 11& 12\end{array}$

Which of the following statements are true (I) and which are false (F)? Give reasons.
(i) If two lines are intersected by a transversal, then corresponding angles are equal.
(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal.
(iii) Two lines perpendicular to the same line are perpendicular to each other.
(iv) Two lines parallel to the same line are parallel to each other.
(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.

An exterior angle of a triangle is ${108}^{\circ }$ and its its ineterior opposite angles are in are in the ratio 4 : 5 . The triangle are

Divide

8√15 by 2√3

If $O$ is a point within triangle $ABC$, show that,

1. $AB+AC>OB+OC$
2. $AB+BC+CA>OA+OB+OC$
3. $OA+OB+OC>\frac{1}{2}(AB+BC+CA)$

Statements:

All circles are squares.

All squares are units.

No square is a meter.

Conclusions:

I. Some units which are not squares can be meters.

II. Some circles being meters is a possibility.

What is the per capita income of a low income country as per the report of the World Bank?

Given a line and a point, not on the line, there is one and only_____line which passes through the given point and is _____to the given line.

Refer to the figure given. What is the length of the shadow that is formed by the stick AB of length 10$\sqrt{3}$ units?

Why the angle sum property of a triangle is 180 degree???

ABCD is a cyclic quadrilateral in which AB and DC on being produced, meet at P such that PA = PD. Prove that AD is parallel to BC.

If the lengths of two sides of a triangle are 3 and 4 respectively, then which one of the following is true about the third side k?

Question 3 (v)
Multiply the following fractions
$3\frac{2}{5}\times \frac{4}{7}$

Write 2x+3y-30 = 0 in y=mx+c form.

The bar graph represents the number of persons in various age groups in a town. The total population of the town is