Explore topic-wise InterviewSolutions in Current Affairs.

ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30 cm. Find the length of each side of the parallelogram.

Factorize:

$64a^3-b^3$

$lo{g}_{5}a.lo{g}_{a}x=2$, then $x$ is equal to

Three cubes each of side $5cm$ are joined end to end. Find the surface area of the resulting cuboid

Prove that equilateral ∆ can be constructed on any given line segment .

If the distance between the points (4, p) and (1, 0) is 5, then p=___

In the given figure, O is the centre of a circle in which $\angle OBA={20}^{\circ }and\angle OCA={30}^{\circ }.\text{Then,}\angle BOC=?$

(a) ${50}^{\circ }$

(b) ${90}^{\circ }$

(c) ${100}^{\circ }$

(d) ${130}^{\circ }$

3 classmates P, Q and R earned a profit of Rs. 9000. The ratio of capital invested by P and Q is 1 : 2. The ratio of capital invested by Q and R is 4 : 3. Calculate the actual profit each of them earns.

The difference between simple and compound interest for 2 years on the same sum of money at 20/3% per annum be equal to rs 50

The factorisation of $8-a^3{b}^3$ is equal to .

A histogram appears as a ___ figure.

Find the coordinates of the foot of perpendicular from the point (-1, 3) to the line 3x - 4y - 16 = 0.

Question 106

Solve the following

Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.

The interest given by the formula ( P * R * T ) / 100 is called ___ interest.

Find the value of log a + log b - log ab.

Lines PQ and RS intersect at O, ∠POR: ∠ROQ = 5:7, then ∠POS is equal to

Use the following information to answer the next question.

In the given figure, AP is equal to BQ.

What is the measure of ∠PAQ?

If $lo{g}_e\left(\frac{a+b}{2}\right)=\frac{1}{2}(lo{g}_{e}a+lo{g}_{e}b)$, then relation between a and b will be

In the figure, ABC is a triangle with coordinates of A and O as (4,0) and (0,0) respectively. AB = 5 units. Find the coordinates of B.

​​

In the given figure, O is the centre of a circle. If $\angle OAC={50}^{\circ }\text{then}\angle ODB=?$

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

(b) ${50}^{\circ }$

(c) ${60}^{\circ }$

(d) ${75}^{\circ }$

Classify the following polynomials as polynomials in one-variable, two variables etc.

(i) $x^2$ - xy + $7y^2$

(ii) $x^2$ - 2tx + $7t^2$ - x + t

(iii) $t^2$ - $3t^2$ + 4t - 5

(iv) $xy+yz+zx$

A wall was initially build with length $8$ meter and height $6$ meters. Later it was recontructed to increase the height by $2$ meters keeping length constant. Find the difference in area of wall?

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle ${30}^{\circ }$ with it. The distance between the foot of the tree to the point where the top touches the ground is 12 m. Find the height of the tree.

$lo{g}_{3}5\times lo{g}_{25}27=$

Factorize:

$a^2+b^2+2(ab+bc+ca)$

One side of an equilateral triangle is 18 cm. The mid-points of its sides are joined to form another triangle whose mid-points, in turn, are joined to form still another triangle. The process is continued indefinitely, Find the sum of the (i) perimeters of all the triangles. (ii) areas of all triangles.

The perpendicular distance of a chord 8 cm long from the centre of a circle of radius 5 cm is

Factorise:- 1-x³

Express the following decimal expression into rational numbers

3.17

x=3.17

10x=31.7------>1

100x=317.7---->2

Below this I couldn't understand

2-1====>100x-10x=317.7-31.7

90x=286

;. x=286/90=143/45

Please check whether the steps are correct and help me complete the answer.

Add -13+2√5 and 25+6√3

=12+2√5+6√3

2(6+√5+3√3)

$(a-3b{)}^3+(3b-c{)}^3+(c-a{)}^3$

Find the equation of a line whose slope = 0 and y-intercept = -5.

If a and b are two rational numbers prove that a+b ,a-b , ab are rational numbers. If b is not equal to 0 show that a/b is also a rational number

The ratio between the corresponding sides of two similar triangles is called __.

The formula given by Heron for area of a triangle is

The sum of all the 3 sides of a triangle is called-

Explain the denseness property of Rational number

Write the equation of x axis and y axis

Which of the following should be the FOURTH sentence after rearrangement?

In the figure, what is z in terms of x and y?

A juice seller in marriage party has a cylindrical vessel with base radius 25 CM and height 40 CM full of juice . He gives same in small glasses of radius 5 CM and height 10 CM. How many oranges are required to fill, it complete if to fill one small glass two oranges are required