Asked/Added Questions From NCERT: Mathematics


Question 1. Asked on :17 January 2019:05:34:31 PM

 ग्राफ में आमने सामने की भुजाओ को समान्तर बताने के लिए सूत्र लिखो?

-Added by Sumitra Mahajan Mathematics » G.k


Question 2. Asked on :17 January 2019:08:47:48 AM

 path 1m wide built along the border and inside a square garden of side 30m. find ;                                                                                                  

 [i] The area of the path.

[ii] the cost of planting grass in the remaining portion of the garden at the rate of Rs.40 per m2

-Added by Nitish kumar Mathematics » Perimeter And Area

Answer:

Himanshi Verma

  Let ABCD, the square garden of side= 30 m.

PQRS is the region inside the garden.

so,

PQ = (30 -1-1 ) = 28 m

also

PS = ( 30 – 1 – 1 ) = 28 m 


(i) Area of the path = Area of ABCD – Area of PQRS 

= [( 30 x 30) – (28 x 28)]

= 900 – 784 

= 116 sq.m 


(ii) Area of the remaining portion in which the grass is planted = Area of square PQRS 

= 28 x 28 

= 784 sq.m 


cost of planting the grass in the region PQRS =  area x cost = 764 x 40

 =31,360


-Answered by Himanshi Verma On 17 January 2019:05:24:42 PM


Question 3. Asked on :16 January 2019:06:13:49 PM

 An integer that is divisible by 2 is called ?

-Added by Shalu Shukla Mathematics » G.k

Answer:

Himanshi Verma

 An integer that is divisible by 2 is called Even Number.

-Answered by Himanshi Verma On 17 January 2019:05:28:03 PM


Question 4. Asked on :16 January 2019:06:14:35 PM

 Counting number are kept under _______ number.

-Added by Himanshi Verma Mathematics » G.k

Answer:

Harshita Rathore

 Counting numbers are numbers you can use to count whole items. You can use the positive integers to count marbles, for example. Whether 0 is a counting number or not, that's a big debate you may or may not be interested in 

-Answered by Harshita Rathore On 17 January 2019:05:31:45 PM


Question 5. Asked on :16 January 2019:05:34:22 PM

(a2-b2)3+(b2-c2)3+(c2-a2)3(a-b)3+(b-c)3+(c-a)3Simplify this Equation: 

-Added by Shalu Shukla Mathematics » Ch-2

Answer:

Nitish kumar

 ( a² - b² )³ + ( b² - c² )³ + ( c² - a² )³ ] / [ ( a - b )³ + ( b - c )³ + ( c - a )³ ] == 3( a² - b² )( b² - c² )( c² - a² ) / 3( a - b )( b - c )( c - a ) ... In triangle abc, p is the midpoint of seg ab.

-Answered by Nitish kumar On 17 January 2019:10:36:38 AM


Question 6. Asked on :16 January 2019:05:39:35 PM

 Among the following which natural numbers had no Prodecessor?

-Added by Himanshi Verma Mathematics » G.k

Answer:

Himanshi Verma

 1

-Answered by Himanshi Verma On 17 January 2019:05:27:08 PM


Question 7. Asked on :16 January 2019:05:34:43 PM

 How many digits are there in Hindu Arabic System?

 

-Added by Himanshi Verma Mathematics » G.k

Answer:

Himanshi Verma

 The Hindu-Arabic numerals are the ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). They are descended from Indian numerals, and the Hindu-Arabic numeral system by which a sequence of digits such as "406" is read as a whole number was developed by Indian mathematicians.

-Answered by Himanshi Verma On 17 January 2019:05:27:36 PM


Question 8. Asked on :15 January 2019:09:48:55 AM

 The lateral surface area of a cube is 256cm2. Find its volume.

-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES

Answer:

Himanshi Verma

  Lateral Surface Area of cube=256 cm²

4(side)² =256
side²=256÷4
side²=64
side=√64=8 cm
Volume of the cube=(side)³=8×8×8=512 cm³.

-Answered by Himanshi Verma On 16 January 2019:06:04:58 PM


Question 9. Asked on :15 January 2019:09:31:00 AM

 The length, breadth and height of room are 5m, 4m and 3m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of s. 7.50perm2

-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES


Question 10. Asked on :15 January 2019:09:27:40 AM

 Find the ratio of total surface area of sphere and a hemisphere of same radius.

-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES


Question 11. Asked on :15 January 2019:09:24:30 AM

 The total surface area of a cube is 150sq. cm. Find the perimeter of  any one of its faces. 

-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES

Answer:

Akki chauhan

  Total surface area of cube is 150sq. cm

Total surface area of cube : 6a2

To find perimeter of its one faces :  ?

Total surface area of cube =150sq.cm

                           6a2  =150sq.cm

 = 1506 

= 25cm

=a2 = √25cm

=a = 5 cm

Perimeter of its one face is = 4 × a

                                        = 4 × 5 cm

                                        = 20 cm Answer

-Answered by Akki chauhan On 16 January 2019:10:09:26 AM


Question 12. Asked on :15 January 2019:09:20:19 AM

 The surface area of the cuboid is 1372 sq. cm. If its dimensions are in the ratio of 4:2:1. Then find length. 

-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES


Question 13. Asked on :14 January 2019:10:35:56 AM

 The ratio of height of two cylinder is 5:3 as well as the ratio of their radii is 2:3. find the ratio of the volume of the cylinder. 

-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES


Question 14. Asked on :13 January 2019:05:13:09 PM

 show that if sum of the two angles of a triangles is equal to the third angle is right triangle.


-Added by khushi chauhan Mathematics » Lines And Angles


Question 15. Asked on :13 January 2019:04:58:17 PM

 In a ΔABC, ∠A+∠B=125º And ∠B+∠C=150º. Find all the angles of ΔABC.


-Added by Himanshi Verma Mathematics » Lines And Angles


Question 16. Asked on :13 January 2019:01:13:28 PM

 Find the median of11,12,2x+2,3x,21,23 where x is the mean of 5,10,3.

-Added by Akki chauhan Mathematics » Probability


Question 17. Asked on :13 January 2019:12:42:04 PM

 Fill in the blanks :

(i) The probability of an impossible event is .............

(ii) The  probability of happening of a possible event is always lies between ........... and...........

(iii) On tossing a coin, We get a total of ............. outcomes.

-Added by Akki chauhan Mathematics » Probability

Answer:

Akki chauhan

  Ans 1. Zero(0)

Ans 2. 0 and 1

Ans 3. 2

-Answered by Akki chauhan On 15 January 2019:09:06:44 AM


Question 18. Asked on :13 January 2019:12:13:10 PM

 If the ratio of altitude and area of the parallelogrm is 2:1 then find the length of the base of parallelogram.  

-Added by Himanshi Verma Mathematics » Areas Of Parallelogram And Triangles


Question 19. Asked on :13 January 2019:11:53:09 AM

 A bag contain slips bearing from 1-89. A slip is drawn at random from the bag. Find the probability that the slip drawn has: 

(a) A number written on it such that sum of its digit is 11.

(b) A number greater than 63 written on it. 

-Added by Akki chauhan Mathematics » Probability


Question 20. Asked on :13 January 2019:11:49:45 AM

 In a class test, the mean marks of boys and girls are respectively 42 and 45. If the mean marks of boys and girls are 44, Find the ratio of the number of boys to the number of girls.

-Added by Akki chauhan Mathematics » Statistics


Question 21. Asked on :13 January 2019:11:44:06 AM

 THe slant height of cone is 10 cm and its base radius is 8 cm. Find the total surface area of cone. 

-Added by Akki chauhan Mathematics » Surface Ares And Volumes.

Answer:

Akki chauhan

   l=10cm r=8cm

The total surface area of cone=πr(l+r)

                                          =22/7×8(10+8)

                                          =22/7×8(18)

                                          =22/7×144

                                          =3168/7cm

-Answered by Akki chauhan On 15 January 2019:09:06:10 AM


Question 22. Asked on :13 January 2019:11:37:50 AM

 Find the volume of hemisphere whose radius is 

32 cm.

-Added by Akki chauhan Mathematics » Surface Ares And Volumes.


Question 23. Asked on :13 January 2019:11:15:32 AM

 Define concentric circles.

-Added by Akki chauhan Mathematics » Circles

Answer:

Akki chauhan

 The concentric circle are the circles with a common center the region between two concentric circle of different radii is called an annulus. 

-Answered by Akki chauhan On 15 January 2019:09:05:48 AM


Question 24. Asked on :12 January 2019:05:55:36 PM

 add √125 + 2√27 and -5√5 - √3



-Added by khushi chauhan Mathematics » Number System

Answer:

Akki chauhan

 √125 +2√27 +(-5√5 -√3)

=√5×5×5 +2√3×3×3 -5√5 -√3 

=5√5 +6√3 -5√5 -√3

=5√3

-Answered by Akki chauhan On 15 January 2019:09:05:29 AM


Question 25. Asked on :12 January 2019:05:54:25 PM

 

Rationalise the denominator = 1√3+√5+√7
 


-Added by Himanshi Verma Mathematics » Number System


Question 26. Asked on :12 January 2019:05:52:26 PM

prove that the cyclic parallelogram is rectangle. 

-Added by khushi chauhan Mathematics » Circles

Answer:

Akki chauhan

  ∠A + ∠C = 180 ....1

But ∠A = ∠C

So ∠A = ∠C = 90

Again 

  ∠B + ∠D = 180 ....2

But ∠B = ∠D

So ∠B = ∠D = 90

Now each angle of parallelogram ABCD is 90.

Hense ABCD is a rectangle

-Answered by Akki chauhan On 15 January 2019:09:05:05 AM


Question 27. Asked on :12 January 2019:10:52:27 AM

 Find the zero of 2x-5.

-Added by Akki chauhan Mathematics » Number System

Answer:

Akki chauhan

 2x-5=0

2x=5

x= 5/2

-Answered by Akki chauhan On 15 January 2019:09:04:26 AM


Question 28. Asked on :12 January 2019:10:49:51 AM

 Factorise:

x3-23x2+142x-120

-Added by Akki chauhan Mathematics » Polynomials

Answer:

Himanshi Verma

  x-23x2+142x-120 

=x3-x2-22x2+22x+120-120

=x2(x-1)-22x(x-1)+120(x-1)

=(x-1)(x2-22x+120)

=(x-1)(x2-12x-10x+120)

=(x-1)[x(x-12)-10(x-12)]

=(x-1)(x-10)(x-12)

-Answered by Himanshi Verma On 16 January 2019:05:57:48 PM


Question 29. Asked on :12 January 2019:10:45:37 AM

 If the polynomials ax3+3x2-13 and 2x3-5x+a , are divided by x+2 if the remainder in each case is the same, then find the value of 'a'

-Added by Akki chauhan Mathematics » Polynomials


Question 30. Asked on :12 January 2019:10:38:50 AM

If a = 9-4√5, then find the value of

a21a2 

-Added by Akki chauhan Mathematics » Polynomials


Question 31. Asked on :11 January 2019:02:55:18 PM

 Find the median of first 10 prime numbers.


-Added by Prince Rawat Mathematics » STATISTICS

Answer:

Akki chauhan

 The first 10 prime numbers are : 2,3,5,7,11,13,17,19,23 and 29.

n=10

Median if n is even numbers

n2 th term = 5th term = 11

n2 + 1 = 5 + 1 = 6th term = 13

Median = 5th term + 6th term2 

Median = 11 + 132 

 = 242 = 12 Answer

-Answered by Akki chauhan On 15 January 2019:09:03:48 AM


Question 32. Asked on :11 January 2019:10:18:43 AM

 Define frequency of the observation.

-Added by Prince Rawat Mathematics » STATISTICS

Answer:

Rohit Rajput

 The number of times an observation occurs in the given data is called frequency of the observation.


-Answered by Rohit Rajput On 12 January 2019:08:59:05 AM


Question 33. Asked on :11 January 2019:10:10:33 AM

 The volume of sphere is 310.4 cm3. Find its radius.

-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES


Question 34. Asked on :11 January 2019:10:04:29 AM

 What is Degree of the Polynomials?

-Added by Prince Rawat Mathematics » POLYNOMIALS

Answer:

Prince Rawat

 Highest power of x in the algebraic expression is called the degree of the polynomials.

-Answered by Prince Rawat On 11 January 2019:10:08:00 AM


Question 35. Asked on :09 January 2019:09:54:18 AM

Prove that if the chords are equal then the subtend angle at the center are equal?

-Added by Master Purushottam Mathematics » Circles

Answer:

Akki chauhan

 

Given : In a circle C(O,r) , ∠AOB = ∠COD 

To Prove : Chord AB = Chord CD .

Proof : In △AOB and △COD 

AO = CO [radii of same circle]

BO = DO [radii of same circle]

∠AOB = ∠COD  [given]

⇒  △AOB ≅  △COD [by SAS congruence axiom]

⇒   Chord AB = Chord CD [c.p.c.t]

-Answered by Akki chauhan On 13 January 2019:01:04:33 PM


Question 36. Asked on :09 January 2019:09:37:10 AM

 Ques.1. prove that 2+2= 5


-Added by Master Purushottam Mathematics » Number System

Answer:

Akki chauhan

  Start with: -20 = -20

Which is the same as: 16-36 = 25-45
Which can also be expressed as: (2+2) 2 (9 X (2+2) = 52) 9 X 5
Add 81/4 to both sides: (2+2) 2 (9 X (2+2) + 81/4 = 52) 9 X 5 + 81/4
Rearrange the terms: ({2+2}) 9/2) 2 = (5-9/2) 2
Ergo: 2+2 - 9/2 = 5
Hence: 2 + 2 = 5

-Answered by Akki chauhan On 15 January 2019:09:03:13 AM


Question 37. Asked on :09 January 2019:09:36:20 AM

-Added by Master Purushottam Mathematics » Number System


Question 38. Asked on :07 January 2019:02:34:53 PM

Q. simplify combining like terms

(1) 21b - 32 +7b - 20b

-Added by Master Purushottam Mathematics » Algebra Expression

Answer:

Akki chauhan

  21b - 32 + 7b - 20b

=(21b+7b -20b) - 32

=8b - 32 Answer

-Answered by Akki chauhan On 10 January 2019:10:54:03 AM


Question 39. Asked on :07 January 2019:02:26:38 PM

Find the sum : 3p2q2 - 4pq + 5, - 10p2q2, 15 + 9pq + 7p2q2

-Added by Master Purushottam Mathematics » Algebra Expreesion

Answer:

Akki chauhan

 3p2q2 - 4pq + 5 + (-10p2q2) + 15 + 9pq + 7p2q2 

= 3p2q2 + 7p2q2 - 10p2q2 + 9pq - 4pq + 5 + 15 

= 10p2q2 - 10p2q2 + 5pq + 20 

= 5pq + 20 Answer

-Answered by Akki chauhan On 10 January 2019:10:54:27 AM


Question 40. Asked on :07 January 2019:02:17:56 PM

 Putting x = 2 (i) In x + 4, we get the value of x + 4, i.e., x + 4 = 2 + 4 = 6

-Added by Master Purushottam Mathematics » Algebra Expreesion


Question 41. Asked on :07 January 2019:02:16:52 PM

If a = 2, b = -2, find the value of a2 + b2.

-Added by Master Purushottam Mathematics » Algebra Expreesion


Question 42. Asked on :07 January 2019:02:15:12 PM

 . Simplify the expressions and find the value if x is equal to 2 

  (i) x + 7 + 4 (x – 5)

-Added by Master Purushottam Mathematics » Algebra Expreesion

Answer:

Akki chauhan

 x+7+4(x-5)=2

x+7+4x-20=2

5x-13=2

5x=2+13

5x=15 

x=3

So, The value of x is 3. 

-Answered by Akki chauhan On 14 January 2019:10:15:24 AM


Question 43. Asked on :07 January 2019:02:14:21 PM

 simplify the expression and find its value when a = 5 and b = -3.

2(a2 + ab) + 3 - ab

-Added by Master Purushottam Mathematics » Algebra Expreesion


Question 44. Asked on :07 January 2019:02:07:12 PM

 Q1. 3a - 2b - ab - (a-b+ab)+ 3ab +b - a

-Added by Master Purushottam Mathematics » Algebra


Question 45. Asked on :07 January 2019:12:03:07 PM

 What is mean? 

  

-Added by ATP Admin Mathematics » Mean

Answer:

Rohit Rajput

   Mean is an average of some data which is calculated by dividing ∑Sum of data by total numbers of data

-

-Answered by Rohit Rajput On 11 January 2019:09:59:24 AM


Question 46. Asked on :31 December 2018:02:20:01 PM

factorise x2 + 2x + 1 

-Added by ATP Admin Mathematics » Factorisation

Answer:

Akki chauhan

    x2 + 2x + 1 

= x2 + x + x + 1

= x(x + 1) + 1(x + 1) 

= (x + 1) (x + 1) 

-Answered by Akki chauhan On 10 January 2019:10:57:10 AM


Question 47. Asked on :31 December 2018:09:20:26 AM

Find the median of 11, 12, 2x + 2, 3x, 21, 23 where x is the mean of 5, 10, 3.

-Added by ATP Admin Mathematics » Mean Median

Answer:

Akki chauhan

 For finding the value of x first we find mean of 5, 10, 3 

sum of observation = 5 + 10 + 3 = 18

mean = 18 / 3 = 6 

Therefore, x = 6 

Now we have data for median 11, 12, 14, 18, 21, 23 

n = 6 { n is an even number} 

n/2 th trem = 14 

and (n/2 + 1)th trem = 18 

Median = (14 + 18)/2 = 32/ 2 = 16 Answer

-Answered by Akki chauhan On 14 January 2019:10:14:53 AM


Question 48. Asked on :29 December 2018:01:00:20 AM

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

-Added by ATP Admin Mathematics » Arithmetic Progressions

Answer:

Akki chauhan

 S7 = 7/2(2a + 6d) 

=> 49 = 7a + 21d

=> 7 = a + 3d   ------------ (i) 

S17 = 17/2 (2a + 16d) 

=> 289 = 17a + 136

=> 17 = a + 8d --------------  (ii) 

Substracting equation (i) from (ii) 

we have ... 

17 - 7 = a - a + 8d - 3d 

10 = 5d 

d = 10/5 

d = 2 

Putting the value in Equation (i) 

7 = a + 3d 

7 = a + 3 x 2 

a = 7 - 6 

a = 1 

Sum of first n terms = n/2 [2a + (n - 1) d]

= n/2 [2x 1 + (n - 1)2] 

= n/2 [2 + 2n - 2 ]

= n/2 (2n) 

= nxn = n2

-Answered by Akki chauhan On 14 January 2019:10:14:29 AM


Question 49. Asked on :28 December 2018:11:00:50 PM

How many terms of the AP : 9, 17, 25, . . . must be taken to give a sum of 636?

-Added by ATP Admin Mathematics » Arithmetic Progressions


 

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