Explore topic-wise InterviewSolutions in Current Affairs.

In the figure given below AD and BC are perpendicular to line AB and $\Delta$BCO is an equilateral triangle. Find the length of side AD.

The linear equation 2x+5 = __________ can represent the age of two siblings which differ by 5 years and their ages add up to give 25.

Select the rational numbers which lie between $\frac{3}{4}$ and $\frac{5}{6}$

In the given figure AB||PQ||CD, AB = x units, CD= y units and PQ = z units, then $\frac{1}{x}+\frac{1}{y}=$

The following histogram represents the life time of different lamps, find the number of lamps

(i) have life time of more than 700 hours

(ii) The number of lamps have life time of between 600 and 700 hours

If Jen was born 2 years after Kim and Kim is 1 year older than Charlie, who is the eldest one?

The mean of 20 numbers is 43. If 6 is subtracted from each of the numbers, what will be the new mean?

If a, m, n are positive integers, then ${\left\{\sqrt[m]{m\sqrt[n]{na}}\right\}}^{mn}$ is equal to

In the given figure, O is the centre of the circle and $\angle BCO={30}^{\circ }$. Find x and y.

Twenty cylindrical pillars of the parliament house are to be cleaned. If the diameter of each pillar is 0.50 m and height is 4 m, What will be the cost of cleaning them at the rate of Rs. 2.50 per square metre?

In the given figure, O is the centre of a circle and $\angle AOB={140}^{\circ }.Then\angle ACB=?$

(a) ${70}^{\circ }$

(b) ${80}^{\circ }$

(c) ${110}^{\circ }$

(d) ${40}^{\circ }$

If $\frac{x}{5}+\frac{y}{3}=1$ and $\frac{x}{k}+\frac{y}{m}=1$, the value of $k$ is

6√3+8√3+14√3

Factorize: $12a^2+60ab+75b^2$

a³+3a²b+3ab²-8 factorise

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

Express 0.00323232.... in the form of p/q where p , q are integers and q ≠0 .

If a not equal to b and x²+ax+b and x²+bx+a have a common factor, show that a+b+1=0

3.08 liters of juice is poured into cylindrical glasses of base radius 7 cm and height 5 cm. How many glasses will be required?

A frequency distribution is defined as

The coordinates of two points are A (-5, 7) and B(3,4) then (ordinate of B) - (ordinate of A) is.

In the adjoining figure, the side AC of ∆ABC is produced to E such that CE = 1/2 AC. If D is the midpoint of BC and ED produced meets AB at F, and CP, DQ are drawn parallel to BA, then FD is

Identify the noun from the sentence which is pluralised by adding -s.

Mary read the book twice before preparing her speech for the church.

PQ is a chord of a circle with centre O and radius 6cm. PQ is of length 6 cm and divides the circle into two segments. The area of the minor segment is

Solve the given pair of equations.

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

$\frac{5}{x}$ - $\frac{4}{y}$ = -2

Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

If the sum of exterior angles of a polygon is one - ninth the sum of its interior angles, then the polygon has ___ sides.

The length of a string between a kite and a point on the ground is 60$\sqrt{3}$ m. If the string makes an angle of (60^\circ\) with the ground, how high is the kite? (Assume there is no slack in the string).

An isosceles triangle has sides 4a, b and b. Find the length of the perpendicular dropped onto the unequal side from the vertex opposite to this side.

A piece of wire of length 108 cm is bent to form a semicircular arc bounded by its diameter. Find its radius and area enclosed.

$\frac{2\pi r}{2}+d=108$

Area enclosed $=\frac{\pi r^2}{2}$

An equilateral triangle ABC is inscribed in a circle of radius r units, which is centered at O, as shown below. Then the length of the side of this triangle is equal to

Question 42.

Answer True/False.

The equations $x+1=0$ and $2x+2=0$ have the same solution.

A solid sphere of radius 3 cm is melted and then cast into smaller spherical balls, each of diameter 0.6 cm, Find the number of the small ball thus obtained.

ABCD is a quadrilateral; whose diagonal AC divides i into two parts,equal in area.Then,ABCD is

(a) a rectangle

(b) a ||gm

(c) a rhombus

(d) all of these

Give the geometric representations of the following equations

(a) on the number line (b) on the Cartesian plane:

$\left(i\right)x=2$ $\left(ii\right)y+3=0$ $\left(iii\right)y=3$ $\left(iv\right)2x+9=0$ $\left(v\right)3x-5=0$

Using factor theorem, show that g(x) is a factor of p(x), when
$p\left(x\right)=2x^3+9x^2-11x-30,g\left(x\right)=x+5$

Without actual division, show that $(x^3-3x^2-13x+15)$ is exactly divisible by $(x^2+2x-3)$.

If $9x^2+25y^2=181andxy=-6,findthevalueof3x+5y.$

$(x+2{)}^3+(x-2{)}^3$

Find the range from the marks obtained by 10 students of a class.

95, 67 , 28 , 32 , 65 , 65 , 69 , 33 , 98 , 96