Explore topic-wise InterviewSolutions in Current Affairs.

The distance of a point P(-8, -15) from the origin is ___ units

Factorise the following:

$x^2-10x+21$

If $x=3+2\sqrt{2}$, then find the value of $\sqrt{x}-\frac{1}{\sqrt{x}}$.

Write down the decimal expansion of $\frac{13}{6250}$

A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the curved surface of the pillar at the rate of 12.50 per $m^2$.

A person bought $3\frac{1}{2}$kg apples, $2\frac{6}{9}$kg of grapes and $1\frac{5}{8}$kg oranges. He wants to divide them among $4$ people. Find the amount (in kg) each person will receive.

In $\Delta ABC,AB=BC=6cm$. If a circle is drawn with centre at B and radius 2 cm which intersects AB and BC at E and D respectively, then:

Identify the triangle that is similar to the triangle AOB, given same colored angles are of equal measure.

Squares each of side 6 cm are cut-off from the four corners of a sheet of tin measuring 42 cm × 30cm.The remaining portion of tin sheet is made into an open box by folding up the flaps. Find the capacity of the box.

a certain sum of money is put at compund interest, compounded hlf yearly. if the interest for the two successive half year are Rs650 and Rs760.50; find the rate of interest

A line is parallel to the x - axis and 2 units below its so its equation must be

A, B, C and D are four points on a circle. AC and BD intersect at E such that angle BEC =140^o and angle ECD = 25^o, then angle BAC is

The degree of the resultant expression, when $6x^3+3x$ is added to $3x$ is :

Use property to evaluate $\left(6^3\right)+(-5^3)+(-1^3)$

If $P\left(A\right)$ and $P\left(\overline{A}\right)$ are complementary events and $P\left(A\right)$ = 0.15, then $P\left(\overline{A}\right)$= ?

Find the value of k if (2, 3) lies on $2x=3y-k$

Find the y-intercept of the line $\frac{x}{4}$ + $\frac{y}{5}$ = 1.

When all three coins are tossed simultaneously

1) find all the possible outcomes

2) find the probability of getting no head

The height of a right circular cone of radius 3.5 cm and volume 77 cm³ is

Which of the following number is an irrational number?

If p(x) = 7 - 3x + 2x² then value of p(-2) is:

If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178 and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then find the smallest even number.

Question 6
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see the given figure), each piece measuring 20cm, 50cm and 50cm.How much cloth of each colour is required for the umbrella?

In the following figure, $△ABC\cong △ADC$ if

ABCD is a quadrilateral in which AD = BC. If P, Q, R, S be the mid-points of AB, AC, CD and BO respectively, show that PQRS is a rhombus.

In the figure, M = 82°, then O=?

Factorize $8x^2{y}^2-x^5$

Water flows at the rate of 10 metres per minute through a cylindrical pipe 5 mm in diameter.How long would it take to fill a conical vessel whose diameter at the surface is 40 cm and depth 24cm ?

If (x, 3) and (3, 5) are the extremities of a diameter of a circle with centre at (2, y), then the values of x and y are

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays. Find the probability that he did not hit a boundary.

The perimeter of a triangle is 50 cm. One side of the triangle is 4 cm longer than the smallest side and the third side is 6 cm less than twice the smallest side. Find the area of the triangle.

The maximum number of common tangents that can be drawn for two external touching circles is/are ___.

AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of $\angle FEB$. If $\angle LEB={35}^0$, then $\angle CFQ$ will be

If x = - $\frac{1}{2}$ is a zero of the polynomial p(x)

= $8x^3-a{x}^2$ - x + 2, find the value of a.

A rectangular sheet of paper 30 cm $\times$ 18 cm can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth.Find the ratio of the volumes of the two cylinders thus formed.

Write the factors of the following polynomials

4x^2 +y^2+4xy+8x+4y+4

If a pair of coin is tossed 40 times, then one head and one tail occurs 24 times. What is the probability of getting the same result for both the coins?

In $△$ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the value of cos R.

The length of arcs AB and BC of a circle with centre O are in the ratio 3 : 2. If $\angle$AOB is ${96}^o$ then $\angle$BOC is

In the given figure, O is the centre of two concentric circles of radii 6 cm and 10 cm. AB is a chord of outer circle which touches the inner circle. The length of chord AB is

(a) 8 cm (b) 14 cm (c) 16 cm (d) $\sqrt{136}$ cm

Draw the graph of the equation 2x + 3y = 12. From the graph, find the coordinates of the point:

(i) whose y-coordinates is 3. (ii) whose x-coordinate is - 3.

$44$ cows can graze a field in $9$ days. How many less/more cows will graze the same field in $12$ days?

Factorising and dividing $a^2+7a+10$ by (a + 5) gives:

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is _____.

In the figure, PQRS is a square and T and U are respectively, the midpoints of PS and QR. Find the area $△OTS$ if PQ = 8 cm.

In a right triangle $ABC$, right-angled at $B,BC=12$ cm and $AB=5$ cm. The radius of the circle inscribed in the triangle is

(a) $1$ cm (b) $2$ cm (c) $3$ cm (d) $4$ cm

A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. The volume of the copper used in making the pipe is

Question 105

Kusum always forgets how to convert miles to kilometres and back again. However, she remembers that her car's speedometer shows both miles and kilometres. She knows that travelling 50 miles per hour is same as travelling 80 kilometres per hour. To cover a distance of 200 km, how many miles Kusum would have to go?

Three cubes of metal whose edges are in the ratio 3 : 4 : 5, are melted down into a single cube whose diagonals is $12\sqrt{3}cm.$ Find the edges of three cubes.

Correct order of ionic character is _____