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8451.

How to solve hard sums like 9(10 to the power9)(1.6 whole square)((10to the power minus 19)2 )divided by 5.3 (10 to the power minus 11)

Answer» How to solve hard sums like 9(10 to the power9)(1.6 whole square)((10to the power minus 19)2 )divided by 5.3 (10 to the power minus 11)
8452.

In the given figure, PQRS is an isosceles trapezium. Find x and y.

Answer» In the given figure, PQRS is an isosceles trapezium. Find x and y.

8453.

Question 1 (iii) What could be the possible ‘one’s’ digits of the square root of each of the following numbers: 998001

Answer»

Question 1 (iii)
What could be the possible ‘one’s’ digits of the square root of each of the following numbers:

998001

8454.

25. A cubical block of mass \sqrt{}2 kg is sliding down on a smooth inclined right angled trough as shown in the figure. The two adjacent surfaces of cube are always in contact with the trough. Then the net reaction force on the block is

Answer» 25. A cubical block of mass \sqrt{}2 kg is sliding down on a smooth inclined right angled trough as shown in the figure. The two adjacent surfaces of cube are always in contact with the trough. Then the net reaction force on the block is
8455.

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Answer»

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

8456.

Question 7Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs36,600 How much trouser material did he buy?

Answer»

Question 7

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs36,600 How much trouser material did he buy?



8457.

Lina went to a market with $1 and spent $0.79 on buying a flavored juice. She wishes to plot the remaining balance on a graph paper. The graph paper has 100 boxes, and each box represents 1¢. Choose the correct representation.

Answer»

Lina went to a market with $1 and spent $0.79 on buying a flavored juice. She wishes to plot the remaining balance on a graph paper. The graph paper has 100 boxes, and each box represents 1. Choose the correct representation.

8458.

Select the burger which is divided into thirds.

Answer»

Select the burger which is divided into thirds.

8459.

The three scales below are perfectly balanced if ⋅=3 What is the value of Δ and ∗?Step: Find the value of ∆ and *​​

Answer» The three scales below are perfectly balanced if =3 What is the value of Δ and ?

Step: Find the value of ∆ and *​




8460.

Question 2(i)Factorise4p2−9q2

Answer» Question 2(i)

Factorise

4p29q2
8461.

Question 62 The area of a rectangular field is 48 m2 and one of its sides is 6m. How long will a lady take to cross the field diagonally at the rate of 20 m/min?

Answer»

Question 62

The area of a rectangular field is 48 m2 and one of its sides is 6m. How long will a lady take to cross the field diagonally at the rate of 20 m/min?

8462.

Mark the correct alternative in each of the following:If -34=6x, then x =(a) −8 (b) 4 (c) −4 (d) 8

Answer» Mark the correct alternative in each of the following:



If -34=6x, then x =



(a) −8 (b) 4 (c) −4 (d) 8
8463.

The cost of painting the whole surface area of a cube at the rate of 10 palse per cm2 is 264.60. Then, the volume of the cube is (a) 6859cm3 (b) 9261cm3 (c) 8000cm3 (d) 10648cm3

Answer»

The cost of painting the whole surface area of a cube at the rate of 10 palse per cm2 is 264.60. Then, the volume of the cube is

(a) 6859cm3

(b) 9261cm3

(c) 8000cm3

(d) 10648cm3

8464.

Find the product of (a+b) and 7a2b2.

Answer»

Find the product of (a+b) and 7a2b2.



8465.

Factorisation of 81x3−xy2 gives

Answer»

Factorisation of 81x3xy2 gives



8466.

What is the difference between parallelogram and rhombus?

Answer» What is the difference between parallelogram and rhombus?
8467.

The perimeter of an equilateral triangle is 60 m. The area is(a) 103 m2(b) 153 m2(c) 203 m2(d) 1003 m2

Answer»

The perimeter of an equilateral triangle is 60 m. The area is

(a) 103 m2

(b) 153 m2

(c) 203 m2

(d) 1003 m2

8468.

A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?

Answer»

A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?

8469.

Question 1: Name the angles in the given figure:

Answer»

Question 1: Name the angles in the given figure:





8470.

Question 3 In the given question, out of four options, only one is correct. Write the correct answer. The usual form of 1000a + 10b + c is (a) abc (b) abc0 (c) a0 bc (d) ab0 c

Answer» Question 3

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

The usual form of 1000a + 10b + c is
(a) abc
(b) abc0
(c) a0 bc
(d) ab0 c
8471.

Construct a right-angled triangle whose hypotenuse is 5 m and one of its lengths is 3 m.

Answer» Construct a right-angled triangle whose hypotenuse is 5 m and one of its lengths is 3 m.
8472.

Question 2 (v)Write the abscissa of the point D.

Answer»

Question 2 (v)

Write the abscissa of the point D.





8473.

In the given figure, if ∠ABC = 75° and BG is the bisector of ∠ABC, then the measure of ∠ABG is

Answer» In the given figure, if ∠ABC = 75° and BG is the bisector of ∠ABC, then the measure of ∠ABG is
8474.

Find the median for the following frequency distribution table: Class Intervals 110 - 119 120 - 129 130 - 139 140 - 149 150 - 159 160 - 169 Frequency 6 8 15 10 6 5

Answer»

Find the median for the following frequency distribution table:

























Class Intervals



110 - 119



120 - 129



130 - 139



140 - 149



150 - 159



160 - 169



Frequency



6



8



15



10



6



5




8475.

What will happen to the curved surface area of a cylinder if its radius is increased to twice the original value and height is reduced to half of the original value?

Answer»

What will happen to the curved surface area of a cylinder if its radius is increased to twice the original value and height is reduced to half of the original value?



8476.

State True or False. A bar graph showing two sets of data simultaneously is known as Pictograph.

Answer» State True or False.
A bar graph showing two sets of data simultaneously is known as Pictograph.

8477.

In the given figure, ABCD is a parallelogram in which ∠A = 60°. If the bisectors of ∠A and ∠B meet at P, prove that AD = DP, PC = BC and DC = 2AD.

Answer» In the given figure, ABCD is a parallelogram in which ∠A = 60°. If the bisectors of ∠A and ∠B meet at P, prove that AD = DP, PC = BC and DC = 2AD.


8478.

Which of the following equations have x=4 and y=2 as a solution?

Answer»

Which of the following equations have x=4 and y=2 as a solution?



8479.

What is the fraction represented by the green blocks in the image below?

Answer»

What is the fraction represented by the green blocks in the image below?


8480.

Question 27In the trapezium ABCD, the measure of ∠D isa) 55∘b) 115∘c) 135∘d) 125∘

Answer» Question 27

In the trapezium ABCD, the measure of D is

a) 55

b) 115

c) 135

d) 125


8481.

Identify the pattern of the following numbers and generate the next term.7, 12, 9, 15, 11, 18

Answer» Identify the pattern of the following numbers and generate the next term.



7, 12, 9, 15, 11, 18




8482.

An electric pole, 14 metres high, casts a shadow of 10 metres. The height of a tower that casts a shadow of 300 metres under similar conditions is: (in metres)

Answer»

An electric pole, 14 metres high, casts a shadow of 10 metres. The height of a tower that casts a shadow of 300 metres under similar conditions is: (in metres)


8483.

Find the square of 53.

Answer»

Find the square of 53.

8484.

(x3+2x2+3x)÷2x = ___________.

Answer» (x3+2x2+3x)÷2x = ___________.
8485.

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, then what is the radius of the circle?

Answer» AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24cm. If the chords are on the opposite sides of the centre and the distance between them is 17 cm, then what is the radius of the circle?
8486.

In a three digit number, unit's digit is 2/3 times of ten's digit and 3/4 times of hundred's digit. If the number formed by reversing the digits subtracted from the original number, is equal to 198, then the sum of original number and number formed by reversing the digits can be

Answer»

In a three digit number, unit's digit is 2/3 times of ten's digit and 3/4 times of hundred's digit. If the number formed by reversing the digits subtracted from the original number, is equal to 198, then the sum of original number and number formed by reversing the digits can be

8487.

Question 5 (iii)Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm anddeg r(x) = 0

Answer»

Question 5 (iii)

Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and



deg r(x) = 0



8488.

Find the 1) last digit 2) last 2^{nd }digit 3) last 3^{rd} digit in 17^{25

Answer» Find the 1) last digit 2) last 2^{nd }digit 3) last 3^{rd} digit in 17^{25
8489.

Question 2Draw a line segment AB of 4cm in length. Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel?

Answer» Question 2

Draw a line segment AB of 4cm in length. Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel?
8490.

ABCD is quadrilateral whose diagonal AC divided it into two parts, equal in area, then ABCD(a) is a rectangle(b) is always a rhombus(c) is a parallelogram(d) need not be any of (a), (b) or (c)

Answer» ABCD is quadrilateral whose diagonal AC divided it into two parts, equal in area, then ABCD

(a) is a rectangle

(b) is always a rhombus

(c) is a parallelogram

(d) need not be any of (a), (b) or (c)
8491.

Question 52Solve the following:8x=5x−1

Answer»

Question 52



Solve the following:



8x=5x1



8492.

In a combined test in Maths and Science 74% passed in Maths, 84% passed in Science and 8% failed in both. Find the total number of candidates who appeared for the test if the number of passed candidates is 330.

Answer»

In a combined test in Maths and Science 74% passed in Maths, 84% passed in Science and 8% failed in both. Find the total number of candidates who appeared for the test if the number of passed candidates is 330.


8493.

The number of goals scored by Lionel Messi in the La Liga for 6 seasons from 2011-17 are tabulated below. Find the mean number of goals scored per season using the assumed mean method.SeasonNumberof goals2011−12502012−13462013−14282014−15432015−16262016−173738.3

Answer» The number of goals scored by Lionel Messi in the La Liga for 6 seasons from 2011-17 are tabulated below. Find the mean number of goals scored per season using the assumed mean method.



SeasonNumberof goals201112502012134620131428201415432015162620161737
  1. 38.3
8494.

SUM OF A AND B IS R. IF MAGNITUDE OF A ALONE IS INCREASED ,WHAT HAPPENS TO ANGLE BETWEEN B AND R?

Answer» SUM OF A AND B IS R. IF MAGNITUDE OF A ALONE IS INCREASED ,WHAT HAPPENS TO ANGLE BETWEEN B AND R?
8495.

For interval (-1, 1) which of the following statement is true ? and why?(a) -1 € (-1, 1](b) o € (-1, 1)(c) (-1, 1] = {-1, 1}(d) (-1, 1] = {o}​

Answer» For interval (-1, 1) which of the following statement is true ? and why?
(a) -1 € (-1, 1]
(b) o € (-1, 1)
(c) (-1, 1] = {-1, 1}
(d) (-1, 1] = {o}​
8496.

A number subtracted by 30 gives 14 subtracted by 3 times the number.Find the number

Answer» A number subtracted by 30 gives 14 subtracted by 3 times the number.Find the number
8497.

Find the lateral surface area or curved surface area of the following dimensions:(i) Length = 3.75 m, Breadth = 4.5 m and Height = 5.1 m(ii) Length = 10 m, Breadth = 20 m and Height = 7 m

Answer» Find the lateral surface area or curved surface area of the following dimensions:



(i) Length = 3.75 m, Breadth = 4.5 m and Height = 5.1 m

(ii) Length = 10 m, Breadth = 20 m and Height = 7 m


8498.

In the given figure, AB = 5cm, BC = 4cm, AC = 3cm. Find the length of diameter of the circle.

Answer»

In the given figure, AB = 5cm, BC = 4cm, AC = 3cm. Find the length of diameter of the circle.


8499.

Question 4(v)Simplify:(2.5p−1.5q)2−(1.5p−2.5q)2

Answer»

Question 4(v)

Simplify:

(2.5p1.5q)2(1.5p2.5q)2



8500.

Classify the following event:Drawing two black beads one after the other from a bag containing 6 black beads and 10 brown beads without replacing.

Answer»

Classify the following event:

Drawing two black beads one after the other from a bag containing 6 black beads and 10 brown beads without replacing.