Explore topic-wise InterviewSolutions in .

(i)
Something happened at Lyonnesse. It was

(a)
improbable.

(b)
impossible.

(c)
unforeseeable.

(ii) Pick
out two lines from stanza 2 to justify your answer.

Take away:

$\left(i\right)\frac{6}{5}{x}^2-\frac{4}{5}{x}^3+\frac{5}{6}+\frac{3}{2}x\text{from}\frac{x^3}{3}-\frac{5}{2}{x}^2+\frac{3}{5}x+\frac{1}{4}$

$\left(ii\right)\frac{5a^2}{2}+\frac{3a^3}{2}+\frac{a}{3}-\frac{6}{5}\text{from}\frac{1}{3}{a}^3-\frac{3}{4}{a}^2-\frac{5}{2}$

$\left(iii\right)\frac{7}{4}{x}^3+\frac{3}{5}{x}^2+\frac{1}{2}x+\frac{9}{2}\text{from}\frac{7}{2}-\frac{x}{3}-\frac{x^2}{5}$

$\left(iv\right)\frac{y^3}{3}+\frac{7}{3}{y}^2+\frac{1}{2}y+\frac{1}{2}\text{from}\frac{1}{3}-\frac{5}{3}{y}^2$

$\left(v\right)\frac{2}{3}ac-\frac{5}{7}ab+\frac{2}{3}bc\text{from}\frac{3}{2}ab-\frac{7}{4}ac-\frac{5}{6}bc$

What is the area of the red part as a fraction of the whole hexagon?

A figure has lines of symmetry as 4 and rotational symmetry of 2. Find its area given that

its side length is 5m and base length is 6m and height is 4m .Find the area of the figure?

In the graph given below,

How many maximum values does $y$ can have for one value of $x$?

The estimate of ${\int }_{0.5}^{1.5}\frac{dx}{x}$ obtained using Simpson's rule with three-point function evaluation exceeds the exact value by

Choose a rational number between $\frac{1}{5}$ and $\frac{1}{3}$.

Question 65

$4^0+5^0+6^0=(4+5+6{)}^0$

Is it possible for the square of a number to end with 5 zeroes? Give reason.

Find the mean for 3, 20, 15 and 10?

The quotient obtained when we divide $a^6-b^6$ by the product of $a^2+ab+b^2$ and $a-b$.

Mina makes a cuboid of plasticine of sides 7cm,5cm,7cm. How many such cuboids will she need to form a cube

Pair the highlighted numbers to their place values.

Square root of 0.0256

The sum of three consecutive even numbers is 36. The smallest among them is :

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the ${45}^{th}$ division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet is the main scale reading is 0.5 mm and the ${25}^{th}$ division coincides with the main scale line?

The data of weekly wages of workers of a factory is given below.

Convert the above table in the form of exclusive class intervals.

The side of a square ABCD is 5 cm and another square PQRS has perimeter equal to 40 cm. Find the ratio of the perimeter of ABCD to perimeter of PQRS. Find the ratio of the area ABCD to the area of PQRS.

If AC = 10cm, PC=15cm and AB=6cm. Find PB?

Question 3

Construct the Parallelogram HEAR where

HE=5cm, EA=6cm, $\angle R={85}^{\circ }$

Simplify: $(m^2-n^{2}m{)}^2+2m^3{n}^2$

The price of sugar is increased by $25\%$. If a family wants to keep its expenses on sugar unaltered, then the family will have to reduce the consumption of sugar by

($\frac{-2}{3}$) + $\frac{5}{7}$ = ?

In what time will 64000 amount to 68921 at 5% per annum interest being compounded half yearly?

$\text{Factorise:}{x}^2+6x+9-x-3$

Factorise Completely : $x^2-y^2-2x+2y$

A batsman is holding a 1 m long bat in his hand. To make a shot, the batsman swings the bat through an angle of 60 °. His arm length is 75 cms. Considering his hand and the bat acting as a straight line, what will be the area swept by the bat.