Explore topic-wise InterviewSolutions in Current Affairs.

$\frac{log2197}{log13}$ = _______ .

In the following figure, it is given that $AB\parallel DE$ and $BC=EC.△ABC\cong △DEC$ by ___ congruence rule.

In the given figure, if ACFD and ABED are parallelograms, then BEFC is a __

Find the quotient when $6x^3+4x^2+2$ is divided by $x-2$ using synthetic division method.

In$△$NVY, NV = VY $\ne$ YN. Which of the following is true?

In the figure, transversal l, intersects two lines m and n, $\angle 4={110}^{0}and\angle 7={65}^0$. Is m||n?

$If{2}^x\times 3^y\times 5^z=2160,findx,yandz.Hence,computethevalueof{3}^x\times 2^{-y}\times 5^{-z}.$

In the figure, if $AB\left|\right|DEandBD\left|\right|FG$ such that $\angle FGH={125}^{\circ }$ and $\angle B={55}^{\circ },$ find x and y.

The diagonal of a square is $6\sqrt{2}$ cm.The perimeter of the square and a triangle is same.Find the semi perimeter of the triangle.

In the adjoining figure, O is the centre of a circle. If AB and AC are chords of the circle such that AB = AC, OP $\perp$AB and OQ $\perp$ AC, prove that PB = QC.

What difference between a theorem and an axiom?

Define a triangle.

Sort the decimals in ascending order.

Who introduced the word polynomial?

Give an example of a cubic polynomial

Factorise :

$a²-b²-4ac+4c²$

A rectangular reservoir is $120m$ long and $75m$ wide. At what speed per hour must water flow into it through a square pipe of $20cm$ wide so that water rises by $2.4m$ in $18$ hours

_{​​​​​From a point in the interior of an equilateral Triangle perpendicular are drawn to the three sides are 8cm, 10cm, 11cm respectively find the area of the Triangle.}

The diagonals of a rectangle ABCD meet at O. If $\angle$BOC = ${44}^{\circ }$, find $\angle$OAD.

The cheapest way to manufacture DREAM PINK paint would cost

cost of 1 pen is Rs.x and that of 1 pencil is Rs.y.cost of 2 pens and 3 pencils together is Rs.18.write a linear equation to represent this information.

If 9, x, x and 25 are in proportion, find the value of x.

If a sheet measuring 1 m² costs Rs 25. The cost of sheet required for making a cubical box of edge 2.5 m is

The area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm, is

The expression [(2x − y) ⁴ − y⁴] can be factorized as

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $12\sqrt{2}cm$, then the area of the triangle is:

In figure, the value of (∠x + ∠y) is:

The arithmetic mean of 35 values is 45. New mean, if each of the 35 values is increased by 7 is

Factorise : 8a³ + b³ + 12a²b + 6ab²

If the given figure is a parallelogram, find the values of x and y.

$\sum fx=5x+2$, $\sum f=12$. If the mean of the distribution is 6, what is the value of x?

What is the length of AD in the given figure?

AB and PQ are two equal chords of a circle. If the length of minor arc and major arc formed by AB is 24cm and 64cm respectively, then the length of minor and major arc formed by PQ is ___ and ___ respectively.

Question 7

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

The reciprocal of ${\left(\frac{2}{5}\right)}^{-1}$ is:
(a) $\frac{2}{5}$

(b) $\frac{5}{2}$

(c) $-\frac{5}{2}$

(d) $-\frac{2}{5}$

Which of the angles are not equal if a transversal intersects two parallel lines?

The area of figure obtained by joining the midpoints of the adjacent sides of a rectangle of sides 8 cm and 6 cm is

Prove that if the diagonals of a parallelogram are perpendicular, then it is a rhombus. [3 MARKS]

The graph of the equation of the form y=mx is a line which always passes through:

The area of triangle, whose sides are 15 cm, 25 cm and 14 cm:

Represent 0.675 in rational form.

The mean of 100 items was found to be 30. If at the time of calculation two items were wrongly taken as 32 and 12 instead of 23 and 11. Now, the correct mean will be

Axioms are assumed

(a) definitions

(b) theorems

(c) universal truths specific to geometry

(d) universal truths in all branches of mathematics

In the figure below, lines AB and CD intersect each other at point O. The angle pairs ( $\angle$AOD, $\angle$COB) and ( $\angle$AOC, $\angle$BOD) are called ___.

The reason for the equations x + 2y = 5 and 4x + 8y = 20 to have infinite solutions is

The radius and slant height of a cone are in the ratio of 4:7.If its curved surface area is $792c{m}^2$,find its radius.(Use $\pi =\frac{22}{7})$