Explore topic-wise InterviewSolutions in Current Affairs.

Find the value of ${12}^2$ using a suitable identity.

There are squares on the door.

In how many of the given years was the number of students more than 60?

Factorise:

$2x^3+54y^3-4x-12y$

Given ABCD is the parallelogram, if the value of DCE = $X^{\circ }$, then the value of BAD is

If D is any point on the side BC of $\Delta ABC$, then:

A class contains 12 boys and 8 girls. The teacher calls on a student at random to go to the chalkboard. What is the probability that the first person called is a boy? Give the answer up to 1 decimal place.

__

$6x^3-x^2-10x-3by2x-3$

In a square ABCD,if AB=(3x8)cm and BC=(x+6)cm ,find the

Value of x. Also , find the length of each side of the square.

Prepare a frequency distribution table for the scores given:

42, 22, 55, 18, 50, 10, 33, 29, 17, 29, 29, 27, 34, 15, 40, 42, 40, 41, 35, 27,

44, 31, 38, 19, 54, 55, 38, 19, 20, 30, 42, 59, 15, 19, 27, 23, 40, 32, 28, 51.

Take the class intervals as 10-20, 20-30, 30-40, 40-50, 50-60.

From the frequency distribution table answer the following questions:

(i) What does the frequency corresponding to the class interval 20-30 indicate?

(ii) In which class intervals are the scores 10, 20 and 30 included?

(iii) Find the range of the scores.

Using graph, find the cost when quantity is 7 units.

Factorise :

$\left(i\right)14x^3+21x^{4}y-28x^2{y}^2\left(ii\right)-5-10t+20t^2$

How many small cuboids of dimensions 20cm $\times$ 25cm $\times$ 40cm each can be accommodated in a cubical box of egde 2m ?

Find the value of $0.6+0.9$

Discount is always calculated on:

Question 23

Between two given rational numbers, we can find

(a) one and only one rational number.

(b) only two rational numbers.

(c) only ten rational numbers.

(d) infinitely many rational numbers.

Question 85 (ii)

Expand the following, using suitable identities.

$(x^{2}y-x{y}^2{)}^2$

Complete the following:

(a) A quadrilateral has ____________ sides.

(b) A quadrilateral has ____________ diagonals.

(c) A quadrilateral in which one pair of sides are parallel to each other is ____________.

(d) In an isosceles trapezium, the base angles are ____________.

(e) In a rhombus, the diagonals bisect each other in ____________ angles.

(f) In a square, all the sides are ____________.

If 24, $x$, 26 form a pythagorean triplet with 26 being the largest number, then find the value of $x$.

Factorise:

$6x^2-17x-3$

What should be multiplied to 43200 to make it a perfect cube?

Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?

V - Vanilla

C - Chocolate

M - Mango

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Compute square of $5.75$

Construct a quadrilateral, ABCD with AB = 3.5 cm, BC = 3.0 cm, AD = 3.8 cm, diagonal AC = 5.0 cm and diagonal BD = 4.5 cm.
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A can do $\frac{1}{2}$ of a work in 5 days. B can do $\frac{3}{5}$ of the same work in 9 days and C can do $\frac{2}{3}$ of that work in 8 days. In ___ days three of them together can finish the work.

1. 15

Question 63

If x varies inversely as y and x =20 when y =600, find y when x =400.

What is the least number that must be subtracted from 1160 so that the sum of 1160 and the
resulting number is completely divisible by 19?

Velocity is defined as$v=u+5t$, where$u$ is fixed- $5m{s}^{-1}$. Find$v$ at different$t$.

(a) Write four irrational numbers.

(b) The product of two rational numbers is $\frac{3}{4}$. If one of them is $\frac{5}{6}$, find the other number.

[2 MARKS]