Explore topic-wise InterviewSolutions in Current Affairs.

Find the values of $a$ and $b$

$if\frac{5+2\sqrt{3}}{7+4\sqrt{3}}=a+b\sqrt{3}$

X takes 3 hours more than Y to walk 30 km. But if X doubles his pace, he is ahead of Y by $1\frac{1}{2}$ hours. The speed of X is:

Factorise:54x⁶y+2x³y⁴

If the lines PQ and RS intersect at a point T such that ∠PRT = 40^o, ∠RPT = 95^o and ∠TSQ = 75^o. Then the measure of ∠SQT is:

If two parallel lines are intersected by a transversal then, pair of alternate interior angles are:

In the given figure, BD is a side of a regular hexagon, DC is a side of a regular pentagon and AD is a diameter. Calculate :

(i) $\angle$ ADC (ii) $\angle$ BDA

(iii) $\angle$ ABC, (iv) $\angle$ AEC.

The width of each of five continuous classes in a frequency distribution is 5 and the lower class - limit of the lowest class is 10.

Find the upper class - limit of the highest class.

The rational number between $\frac{1}{6}$ and $\frac{1}{4}$ is ________.

In a survey of 1000 families, it is found that 484 families use electric stoves, 552 families use gas stoves. If all the families use atleast one of these two types of stoves, find how many families use both the stoves?

If the area of a circle of radius r is equal to the curved surface area of a cone with radius $r_1$ and slant height l, then the value of $r_1$ in terms of r and l is:

Find the point at which the line represented by the equation $6x+5y=9,$ intersects the x-axis.

A field is in the shape of a trapezium whose parallel sides are 50m and 15m. The non-parallel sides are 20m and 25m. What is the area of the field?

Find the ratio of perimeters and areas of lands ABCD to ABFE. (Given AE = 2AD)

Find the value of 'c' if the distance between the point (c, 4) and the origin is 5 units?

In which of the following options are x and y in direct proportion ?

Two supplementary angles are in the ratio 2:3. What are their values(in degrees)?

The area of the given square and rectangle are same. If the length of each side of the square is 4m, and the ratio of length and breadth of the rectangle is 2. Find the length of the rectangle?
[3 MARKS]

The radius of two similar right circular cylinders are 4 cm and 6cm. The ratio of their altitudes is

An equilateral triangle ABC is inscribed in a circle centered at O, as shown below. OE is a radius such that it is perpendicular to BC and cuts BC at point D. If OD = 3 cm, then the diameter of this circle is

Find the CSA of a cylindrical container of depth 20 m and radius 0.7 m.

Write the name of the point where x-axis and y-axis intersect.

Which of the following linear equation has a solution(1, 2) ?

If $x^9+\frac{1}{x^a}$ is a polynomial in one variable, What could be the value of $a$?

Distance between $-\sqrt{2}$ and $-\sqrt{3}$ is

In the given image, the same ||gm has been represented by diff. colors. Which of the triangles are congruent?

If the coordinates of the origin are (a, b), then the value of ab is ___.

The surface area of a box which is in the form of a cuboid whose dimensions are
l x b x h is:

Solve for x and y for the following pair of lines
x + y = 42
0.24x + 0.18y = 8.4

If x+2, 2, 5x-4 and 9 are in proportion, find x.

The length of a cuboid is twice its breadth. The breadth is twice its height. Find the ratio of the lateral surface area to the total surface area of the cuboid. Given that the height of the cuboid is $2\text{cm}$.

With which of the following given measurements, a unique Kite named EASY can be formed?

Fill in the blanks :

(i) All points lying inside / ourside a circle are called ___ points / ___ points.

(ii) Circles having the same centre and different radii are called ___ circles.

(iii) A point whose distance from the centre of a circle is greater than radius lies in ___ of the circle.

(iv) A continuous piece of a circle is ___ of the circle.

(v) The longest chord of a circle is a ___ of the circle.

(vi) An are is a ___ when its ends are the ends of a diameter.

(vii) Segment of a circle is the region between an are and ___ of the circle.

(viii) A circle divides the plane, on which it lies, in ___ parts.

If p/q is a rational no (q ≠0) what condition of q so that the decimal representation of p/q is terminating . ( With solved solution )

Thanks.

In a triangle ABC, D and E are points on sides AB and AC respectively such that, DE||BC. Then $\frac{AD}{AB}$ =.

In the figure below, lines RS and PQ intersect each other at point O. If $\angle$POR: $\angle$ROQ = 11:13, find $\angle$SOQ.

Euclid belongs to the country

(a) India

(b) Greece

(c) Japan

(d) Egypt

Find the value of the trigonometric functions of sin ${765}^0$.

$\frac{\sqrt{32}+\sqrt{48}}{(\sqrt{8}+\sqrt{12})}=?$

A monomial multiplied by a monomial always gives a ___.

What has to be added to $(a+b)$ to get $(3a+2b)$?

Draw the graph of the equation x + 2y - 3 = 0.

From your graph, find the value of y when (i) x = 5 (ii) x = - 5.

(i) Calculate the area of quad.ABCD,given in Fig.(i)

(ii) Calculate the area of trap.PQRS,given in Fig.(ii)

A bag contains 16 cards bearing number 1, 2, 3, . . . , 16 respectively. One card is chosen at random. What is the probability that the chosen card bears a number which is divisible by 3?

(a) $\frac{3}{16}$

(b) $\frac{5}{16}$

(c) $\frac{11}{16}$

(d) $\frac{13}{16}$

Two circles with centres $O$ and $O^{\prime }$ intersect at two points $A$ and $B$. $A$ line $PQ$ is drawn parallel to $O{O}^{\prime }$ through $A$ or $B$, intersecting the circles at $P$ and $Q.$ Prove that $PQ=2O{O}^{\prime }.$

Choose the correct answer in each of the following questions:
The width of each of the five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper class limit of the highest class is
(a) 45
(b) 25
(c) 35
(d) 40

___ is a fixed distance that connects all the points from the center.