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8351.

The diameter of a copper sphere is 18 cm, It melted and drawn into a long wire of uniform cross section. If the length of the wire is 108 m, find its diameter.

Answer»

The diameter of a copper sphere is 18 cm, It melted and drawn into a long wire of uniform cross section. If the length of the wire is 108 m, find its diameter.



8352.

Question 10 The times (in seconds) taken by 150 atheletes to run a 110 m hurdle race are tabulated below. Class13.8−1414−14.214.2−14.414.4−14.614.6−18.814.8−15Frequency245714820 (a) 11 (b) 71 (c) 82 (d) 130 The number of atheletes who completed the race in less than 14.6 s is

Answer» Question 10
The times (in seconds) taken by 150 atheletes to run a 110 m hurdle race are tabulated below.
Class13.8141414.214.214.414.414.614.618.814.815Frequency245714820
(a) 11
(b) 71
(c) 82
(d) 130
The number of atheletes who completed the race in less than 14.6 s is
8353.

x^{2 }+ x + 2 = (x-2)(x-a)+b if x+3 is a factor find a and

Answer» x^{2 }+ x + 2 = (x-2)(x-a)+b if x+3 is a factor find a and
8354.

Write each of the following numerals in Indian system of numeration:(i) 27943(ii) 823514(iii) 7421932(iv) 53428769

Answer» Write each of the following numerals in Indian system of numeration:

(i) 27943

(ii) 823514

(iii) 7421932

(iv) 53428769
8355.

Question 21 (i) A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that she will buy it?

Answer» Question 21 (i)
A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that she will buy it?
8356.

In this chapter I am not getting the topic decimal representation of rational numbers......

Answer»

In this chapter I am not getting the topic decimal representation of rational numbers......

8357.

Give rectifying entries for the following:(i) ₹ 5,400 received from Mr. A was posted to the debit of his account.(ii) The total of Sales Return Book overcasted by ₹ 800.(iii) ₹ 2,740 paid for repairs to motor car was debited to Motor Car Account as ₹ 1,740.(iv) Returned goods to Shyam ₹ 1,500 were passed through Returns Inward Book.

Answer» Give rectifying entries for the following:

(i) ₹ 5,400 received from Mr. A was posted to the debit of his account.

(ii) The total of Sales Return Book overcasted by ₹ 800.

(iii) ₹ 2,740 paid for repairs to motor car was debited to Motor Car Account as ₹ 1,740.

(iv) Returned goods to Shyam ₹ 1,500 were passed through Returns Inward Book.
8358.

Question 44 2.001÷0.003=___

Answer»

Question 44

2.001÷0.003=___

8359.

Question 3Draw the graph of the linear equation 3x + 4y = 6.At what points, the graph cuts x and y-axes?

Answer» Question 3

Draw the graph of the linear equation 3x + 4y = 6.

At what points, the graph cuts x and y-axes?

8360.

If (x−1) is one of the factors of the polynomial (x3−5x2+8x−4), then find the other factors using synthetic division.

Answer»

If (x1) is one of the factors of the polynomial (x35x2+8x4), then find the other factors using synthetic division.

8361.

Vijay commenced business as foodgrains merchant on 1st April, 2017 with a capital of ₹4,00,000. On the same day, he purchased furniture for ₹80,000. From the following particulars obtained from his books which do not conform to Double Entry principles, you are required to prepare the Trading and Profit and Loss Account for the year ended 31st March, 2018 and the Balance Sheet as on that date: ₹ Sales (including Cash Sales ₹2,00,000) 5,00,000 Purchases (including Cash Purchases ₹1,20,000 4,00,000 Vijay's Drawings (in cash) 40,000 Salaries to Staff 48,000 Bad Debts written off 4,000 Trade Expenses paid 16,000 Vijay used goods of ₹12,000 for private purposes during the year. On 31st March, 2018, his Debtors amounted to ₹1,40,000 and Creditors ₹80,000. Stock-in-Trade on that date was ₹1,60,000.

Answer» Vijay commenced business as foodgrains merchant on 1st April, 2017 with a capital of ₹4,00,000. On the same day, he purchased furniture for ₹80,000. From the following particulars obtained from his books which do not conform to Double Entry principles, you are required to prepare the Trading and Profit and Loss Account for the year ended 31st March, 2018 and the Balance Sheet as on that date:































Sales (including Cash Sales ₹2,00,000) 5,00,000
Purchases (including Cash Purchases ₹1,20,000 4,00,000
Vijay's Drawings (in cash) 40,000
Salaries to Staff 48,000
Bad Debts written off 4,000
Trade Expenses paid 16,000




Vijay used goods of ₹12,000 for private purposes during the year. On 31st March, 2018, his Debtors amounted to ₹1,40,000 and Creditors ₹80,000. Stock-in-Trade on that date was ₹1,60,000.
8362.

Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Answer» Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
8363.

If x+2 and x−1 are the factors of x3+10x2+mx+n, then find the values of m and n respectively.

Answer» If x+2 and x1 are the factors of x3+10x2+mx+n, then find the values of m and n respectively.
8364.

How many cylindrical containers of r = 0.5cm and h= 7cm is required to completely filled a cylindrical container of radius 5 cm and height 14 cm?___

Answer»

How many cylindrical containers of r = 0.5cm and h= 7cm is required to completely filled a cylindrical container of radius 5 cm and height 14 cm?




___
8365.

Question 2(a):Is every diameter of a circle also a chord?

Answer»

Question 2(a):



Is every diameter of a circle also a chord?



8366.

Fill in the blank in the given table X100250200501251000440Y2081040250050 __

Answer»

Fill in the blank in the given table

X100250200501251000440Y2081040250050


__
8367.

The sides of a triangular plot are in the ratio of 16: 8 : 10 and its perimeter is 340 m. Find its area in m2 [4 MARKS]

Answer»

The sides of a triangular plot are in the ratio of 16: 8 : 10 and its perimeter is 340 m. Find its area in m2 [4 MARKS]

8368.

Which of the following lies between 254 and 223?

Answer»

Which of the following lies between 254 and 223?



8369.

Find the fractional form of 0.7272.... using 111 = 0.090909.....

Answer»

Find the fractional form of 0.7272.... using 111 = 0.090909.....

8370.

△RST ≅ △UVW by SAS criteria, If RS = UV, RT = PR and ∠R = 60∘, then find ∠U in terms of degrees. 60

Answer» RST UVW by SAS criteria,
If RS = UV, RT = PR and R = 60, then find U in terms of degrees.
  1. 60
8371.

There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

Answer» There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.




8372.

If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178. and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then if all the 9 numbers are arranged in ascending order , the sum of the smallest and largest number is

Answer»

If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178. and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then if all the 9 numbers are arranged in ascending order , the sum of the smallest and largest number is


8373.

The area enclosed by the curve y^2 +x^4=x^2 is

Answer» The area enclosed by the curve y^2 +x^4=x^2 is
8374.

From the given figure, choose the letters that indicate the location of the following points:(a) (2, 1)(b) (0,5)(c) (2,0)Also, mention the coordinates of the points A and F.

Answer» From the given figure, choose the letters that indicate the location of the following points:

(a) (2, 1)

(b) (0,5)

(c) (2,0)

Also, mention the coordinates of the points A and F.

8375.

Question 116State whether the statements are True or False.Every trapezium is a rectangle.

Answer» Question 116

State whether the statements are True or False.


Every trapezium is a rectangle.
8376.

Draw the graphs of the equations 3x – 2y = 4 and x + y – 3 = 0. On the same graph paper, find the coordinates of the point were the two graph lines intersect.

Answer»
Draw the graphs of the equations 3x – 2y = 4 and x + y – 3 = 0. On the same graph paper, find the coordinates of the point were the two graph lines intersect.

8377.

The perimeter of triangular field is 20 dm . If two sides are 78 dm and 50 dm find the length of perpendicular on the side of length 50 dm from opposite vertex

Answer»

The perimeter of triangular field is 20 dm . If two sides are 78 dm and 50 dm find the length of perpendicular on the side of length 50 dm from opposite vertex

8378.

Find the zeroes of the polynomial f(x)= mx (x-m-1)+m2 and verify the relationship between zeroes and coeffecients of the polynomial?

Answer» Find the zeroes of the polynomial f(x)= mx (x-m-1)+m2 and verify the relationship between zeroes and coeffecients of the polynomial?
8379.

Is zero a rational number? Can you write it in the form, where p and q are integers and q ≠ 0?

Answer»

Is zero a rational number? Can you write it in the form, where p and q are integers and q ≠ 0?

8380.

The diagonals of a _______ are equal and bisect each other at 90∘.

Answer» The diagonals of a _______ are equal and bisect each other at 90.
8381.

Question 142Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.

Answer» Question 142

Two sticks each of length 7 cm are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
8382.

in how many years will a sum of rupees 25600 becomes rupees 50000 at a rate of 25% per annum compounded annually

Answer» in how many years will a sum of rupees 25600 becomes rupees 50000 at a rate of 25% per annum compounded annually
8383.

Write the following polynomials in coefficient form.(i) x3 - 2 (ii) 5y (iii) 2m4 - 3m2 + 7 (iv) -23

Answer» Write the following polynomials in coefficient form.



(i) x3 - 2 (ii) 5y (iii) 2m4 - 3m2 + 7 (iv) -23
8384.

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 12 if we only add 1 to the denominator. What is the fraction?

Answer»

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 12 if we only add 1 to the denominator. What is the fraction?


8385.

In a parallelogram, one angle is 45th of the adjacent angle. The adjacent angles of the parallelogram are (in degrees)

Answer»

In a parallelogram, one angle is 45th of the adjacent angle. The adjacent angles of the parallelogram are (in degrees)


8386.

If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.

Answer» If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.
8387.

A coin is tossed. If the outcome is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?

Answer» A coin is tossed. If the outcome is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
8388.

From a solid cube of side 6 feet, a square hole of side 2 feet is punched through between a pair of opposite faces. The volume of the remaining solid in cubic feet is _________.

Answer» From a solid cube of side 6 feet, a square hole of side 2 feet is punched through between a pair of opposite faces. The volume of the remaining solid in cubic feet is _________.
8389.

As shown in the following figure, in ∆ LMN and ∆PNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.

Answer» As shown in the following figure, in LMN and PNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.

8390.

Describe some fundamental characteristic of statistics.

Answer» Describe some fundamental characteristic of statistics.
8391.

In Fig. 96, if AB, CD and EF are straight lines, then x + y + z =(a) 180(b) 203(c) 213(d) 134

Answer» In Fig. 96, if AB, CD and EF are straight lines, then x + y + z =

(a) 180

(b) 203

(c) 213

(d) 134

8392.

There are two identical cubes. Out of one cube, a sphere of maximum volume (VS) is cut out. Out of the second cube, a cone of maximum volume (VC) is cut such that its base lies on one of the faces of the cube. Which one of the following is correct?

Answer»

There are two identical cubes. Out of one cube, a sphere of maximum volume (VS) is cut out. Out of the second cube, a cone of maximum volume (VC) is cut such that its base lies on one of the faces of the cube. Which one of the following is correct?


8393.

Electric field at point (30, 30, 0) due to a pointcharge of 8 x 10-3 C placed at origin will be(coordinates are in cm)

Answer» Electric field at point (30, 30, 0) due to a pointcharge of 8 x 10-3 C placed at origin will be(coordinates are in cm)
8394.

A rectangular block has 5 metres,6 metres and 7 metres as length, width and height respectively. If the sides of the block are extended by the same measure, 8 metres, what is the volume of the new rectangular block?

Answer»

A rectangular block has 5 metres,6 metres and 7 metres as length, width and height respectively. If the sides of the block are extended by the same measure, 8 metres, what is the volume of the new rectangular block?


8395.

ABCD is a paralleogram and P is the midpoint of side BC. Prove that AC and DP meet in a common point of trisection

Answer» ABCD is a paralleogram and P is the midpoint of side BC. Prove that AC and DP meet in a common point of trisection
8396.

ABCD is a rhombus and P, Q, R and S are the mid-points of the sides, AB, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

Answer» ABCD is a rhombus and P, Q, R and S are the mid-points of the sides, AB, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.
8397.

Question 11 The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only, if (A) ABCD is a rhombus (B) diagonals of ABCD are equal (C) diagonals of ABCD are equal and perpendicular (D) diagonals of ABCD are perpendicular

Answer» Question 11
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only, if
(A) ABCD is a rhombus
(B) diagonals of ABCD are equal
(C) diagonals of ABCD are equal and perpendicular
(D) diagonals of ABCD are perpendicular
8398.

Solve the equation 3x - 2 = 2x + 3 and represent the solution on the number line.

Answer»

Solve the equation 3x - 2 = 2x + 3 and represent the solution on the number line.

8399.

Calculate an appropriate measure of dispersion for the following data : Wages in Rs.Less than 3535−3738−4041−43Over 43No. of Wage Earners146299187

Answer»

Calculate an appropriate measure of dispersion for the following data :

Wages in Rs.Less than 35353738404143Over 43No. of Wage Earners146299187

8400.

The area of a parallelogram = base of the parallelogram × ___ of the parallelogram.

Answer» The area of a parallelogram = base of the parallelogram × ___ of the parallelogram.