24740 + Interview Questions in Mathematics Page 224 InterviewSolution

11151.	Write the coordinates of all points in the graph given below:
Answer» Write the coordinates of all points in the graph given below:

Discussion

11152.	If one of the four angles formed by two intersecting lines us a right angle, then show that each of the four angles is a right angle.
Answer» If one of the four angles formed by two intersecting lines us a right angle, then show that each of the four angles is a right angle.

11152.

If one of the four angles formed by two intersecting lines us a right angle, then show that each of the four angles is a right angle.

Answer»

If one of the four angles formed by two intersecting lines us a right angle, then show that each of the four angles is a right angle.

Discussion

11153.

Given below is a cumulative frequency distribution table showing the ages of people living in a locality: Age in years No. of persons Above 108 Above 96 Above 84 Above 72 Above 60 Above 48 Above 36 Above 24 Above 12 Above 0 0 1 3 5 20 158 427 809 1026 1124 Prepare a frequency distribution table.

Answer» Given below is a cumulative frequency distribution table showing the ages of people living in a locality:

Age in years	No. of persons
Above 108 Above 96 Above 84 Above 72 Above 60 Above 48 Above 36 Above 24 Above 12 Above 0	0 1 3 5 20 158 427 809 1026 1124

Prepare a frequency distribution table.

Discussion

11154.	Question 8 A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. [Assume π=227]
Answer» Question 8 A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. $[A s s u m e π = \frac{22}{7}]$

Discussion

11155.	Question 1 Find the remainder when x3+3x2+3x+1 is divided by (i) x + 1 (ii) x−12 (iii) x (iv) x+π (v) 5 + 2x
Answer» Question 1 Find the remainder when $x^{3} + 3 x^{2} + 3 x + 1$ is divided by (i) x + 1 (ii) $x - \frac{1}{2}$ (iii) x (iv) $x + π$ (v) 5 + 2x

Discussion

11156.	How many bricks will be required to construct a wall 8 m long,6m high and 22.5 cm thick if each brick measures 25m×11.25cm×6cm.?
Answer» $How many bricks will be required to construct a wall 8 m long,6m high and 22.5 cm thick if each brick measures 25 m \times 11.25 c m \times 6 c m . ?$

Discussion

11157.	The mean of a data is 15 and the sum of the observations is 195. The number of observations is(a) 13 (b) 19 (c) 16 (d) 17
Answer» The mean of a data is 15 and the sum of the observations is 195. The number of observations is (a) 13 (b) 19 (c) 16 (d) 17

Discussion

11158.	Draw the frequency polygon representing the following frequency distribution. Class interval30−3435−3940−4445−4950−5455−59Frequency1216208104 [4 MARKS]
Answer» Draw the frequency polygon representing the following frequency distribution. $\begin{matrix} Class interval & 30 - 34 & 35 - 39 & 40 - 44 & 45 - 49 & 50 - 54 & 55 - 59 Frequency & 12 & 16 & 20 & 8 & 10 & 4 \end{matrix}$ [4 MARKS]

Discussion

11159.	In fig. BD \|\| CA, E is mid-point of CA and BD=12AC. Then .
Answer» $In fig. BD \|\| CA, E is mid-point of CA$ $and BD= \frac{1}{2} AC. Then$ .

Discussion

11160.	Question 9In figure , AB ∥ DE, AB = DE, AC ∥ DF and AC = DF . Prove that BC ∥ EF and BC = EF.
Answer» Question 9 In figure , AB ∥ DE, AB = DE, AC ∥ DF and AC = DF . Prove that BC ∥ EF and BC = EF.

Discussion

11161.	If a diameter of a circle is perpendicular to a chord, then it __________ the chord and its arc.
Answer» If a diameter of a circle is perpendicular to a chord, then it __________ the chord and its arc.

Discussion

11162.	If (2x+5)∘, 3x∘, (5x+15)∘and 40∘ are four angles of a quadrilateral, find the value of ∠x and hence find the four angles. [2 MARKS]
Answer» If $(2 x + 5)^{\circ}$ , $3 x^{\circ}$ , $(5 x + 15)^{\circ}$ and $40^{\circ}$ are four angles of a quadrilateral, find the value of $∠ x$ and hence find the four angles. [2 MARKS]

Discussion

11163.	In Fig. 74, if AB \|\| CO, ∠CAB = 49°, ∠CBD = 27° and∠BDC = 112°, then the values of x and y are(a) x = 41, y = 90(b) x = 41,y = 63(c) x = 63, y = 41(d) x = 90, y = 41
Answer» In Fig. 74, if AB \|\| CO, ∠CAB = 49°, ∠CBD = 27° and∠BDC = 112°, then the values of x and y are (a) x = 41, y = 90 (b) x = 41,y = 63 (c) x = 63, y = 41 (d) x = 90, y = 41

Discussion

11164.	In triangle PQR, base QR is divided at x such that QX =1/2 QR To Prove-ar(PQX) =1/3 ar(PQR)
Answer» In triangle PQR, base QR is divided at x such that QX =1/2 QR To Prove-ar(PQX) =1/3 ar(PQR)

11164.

In triangle PQR, base QR is divided at x such that QX =1/2 QR To Prove-ar(PQX) =1/3 ar(PQR)

Answer»

In triangle PQR, base QR is divided at x such that

QX =1/2 QR

To Prove-ar(PQX) =1/3 ar(PQR)

Discussion

11165.	In a trapezium ABCD with bases AB and CD where AB=52,BC=12,CD=39 and DA=5. The area of the trapezium ABCD is
Answer» In a trapezium ABCD with bases AB and CD where AB=52,BC=12,CD=39 and DA=5. The area of the trapezium ABCD is

Discussion

11166.	A wall is in the shape of a trapezium whose parallel sides are 50 m and 20 m. The non-parallel sides are 28 m and 26 m. Find the area of the wall. [4 MARKS]
Answer» A wall is in the shape of a trapezium whose parallel sides are 50 m and 20 m. The non-parallel sides are 28 m and 26 m. Find the area of the wall. [4 MARKS]

Discussion

11167.	The sides of a quadrilateral taken in order are 5, 12, 14 and 15 metres respectively, and the angle contained by the first two sides is a right angle. Find its area.
Answer» The sides of a quadrilateral taken in order are 5, 12, 14 and 15 metres respectively, and the angle contained by the first two sides is a right angle. Find its area.

Discussion

11168.	Expand.(1) (2p + q +5)2 (2) (m + 2n +3r)2 (3) (3x +4y − 5p)2 (4) (7m − 3n − 4k)2
Answer» Expand. (1) (2p + q +5)² (2) (m + 2n +3r)² (3) (3x +4y − 5p)² (4) (7m − 3n − 4k)²

Discussion

11169.	What is the eq. of †an gent to the circle x^2+y^2=25 which make an angle 60degree with the+ve dir.ofy-axis?
Answer» What is the eq. of †an gent to the circle x^2+y^2=25 which make an angle 60degree with the+ve dir.ofy-axis?

Discussion

11170.	What is the degree of (x-1)?
Answer» What is the degree of (x-1)?

Discussion

11171.	"The quick brown fox jumps over the lazy dog"Examine the above sentence carefully and note the numbers of letters in each word. Treating the number of letters as a variable, prepare a frequency array for this data.
Answer» "The quick brown fox jumps over the lazy dog" Examine the above sentence carefully and note the numbers of letters in each word. Treating the number of letters as a variable, prepare a frequency array for this data.

Discussion

11172.	The base and hypotenuse of a right triangle are respectively 5cm and 13cm long. Its area is
Answer» The base and hypotenuse of a right triangle are respectively 5cm and 13cm long. Its area is

Discussion

11173.	If m Is the slope of a line and m+2=m+3, then the possible angle between line and x-axis is
Answer» If m Is the slope of a line and m+2=m+3, then the possible angle between line and x-axis is

Discussion

11174.	Choose the incorrect statements among the following given options.
Answer» Choose the incorrect statements among the following given options.

Discussion

11175.	Find the value of cos260∘+sec230∘+tan245∘ ?
Answer» Find the value of ${cos}^{2} 60^{\circ} + {sec}^{2} 30^{\circ} + {tan}^{2} 45^{\circ}$ ?

Discussion

11176.	31. How to find eccentricity of ellipse
Answer» 31. How to find eccentricity of ellipse

Discussion

11177.	18.Given S^° c2H6=225Jmole-¹k-¹ S^° c2H4=220Jmole-¹k-¹ S^° H2=130Jmole-¹k-¹ then delta S^° for the process is C2H4+H2 ----- C2H6 is
Answer» 18.Given S^° c2H6=225Jmole-¹k-¹ S^° c2H4=220Jmole-¹k-¹ S^° H2=130Jmole-¹k-¹ then delta S^° for the process is C2H4+H2 ----- C2H6 is

Discussion

11178.	How can the three figures given below be used to form an octagon?
Answer» How can the three figures given below be used to form an octagon?

Discussion

11179.	If\sqrt[3]{x+9}- \sqrt[3]{x-9}=3, then x^{2 }lies betwee
Answer» If\sqrt[3]{x+9}- \sqrt[3]{x-9}=3, then x^{2 }lies betwee

Discussion

11180.	The sum of two rational numbers is a rational number , this property is called as ___________
Answer» The sum of two rational numbers is a rational number , this property is called as ___________

Discussion

11181.	90.Find the area of Rhombus if the vertices are (3,0),(4,5),(-1,4) and (-2,-1) taken in order?
Answer» 90.Find the area of Rhombus if the vertices are (3,0),(4,5),(-1,4) and (-2,-1) taken in order?

Discussion

11182.	In the given figure, O is the centre of the circle with radius 20 cm and OD is perpendicular to AB. If AB=32 cm, find the length of CD.
Answer» In the given figure, $O$ is the centre of the circle with radius $20 cm$ and $O D$ is perpendicular to $A B$ . If $A B = 32 cm$ , find the length of $C D$ .

Discussion

11183.	The geometrical representation of a linear equation is a
Answer» The geometrical representation of a linear equation is a

Discussion

11184.	AB is the longest chord of a circle with centre O. P is any point on the circumference of the circle, not coinciding with A or B. Find ∠APB in degrees.
Answer» AB is the longest chord of a circle with centre O. P is any point on the circumference of the circle, not coinciding with A or B. Find $∠ A P B$ in degrees.

Discussion

11185.	When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively. Find the polynomial.
Answer» When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively. Find the polynomial.

Discussion

11186.	The height of the tower is 100 m. When the angle of elevation of the sun changes from 30∘ to 45∘, the shadow of the tower becomes x metres less. The value of x is :
Answer» The height of the tower is 100 m. When the angle of elevation of the sun changes from $30^{\circ} t o 45^{\circ}$ , the shadow of the tower becomes x metres less. The value of x is :

Discussion

11187.	135. If a-b, a and a+b are the zeroes of the polynomial f(x) = x3 - 9x2 + 12x + t, then find the value of t
Answer» 135. If a-b, a and a+b are the zeroes of the polynomial f(x) = x3 - 9x2 + 12x + t, then find the value of t

Discussion

11188.	20. If the chord through the points whose eccentric angles are A and B on the ellipse x²/a² + y²/b² = 1 passes through the negative focus then the value of Tan(A/2).Tan(B/2) is
Answer» 20. If the chord through the points whose eccentric angles are A and B on the ellipse x²/a² + y²/b² = 1 passes through the negative focus then the value of Tan(A/2).Tan(B/2) is

Discussion

11189.	If the foot of the perpendicular of (15, -3) on 11x - 2y + 46 = 0 is (x1,y1) then \(x_1+y_1)\ is ___
Answer» If the foot of the perpendicular of (15, -3) on 11x - 2y + 46 = 0 is $(x_{1}, y_{1})$ then \(x_1+y_1)\ is ___

Discussion

11190.	(xbxc)(b+c−a).(xcxa)(c+a−b).(xaxb)(a+b−c)=?
Answer» ${(\frac{x^{b}}{x^{c}})}^{(b + c - a)} . {(\frac{x^{c}}{x^{a}})}^{(c + a - b)} . {(\frac{x^{a}}{x^{b}})}^{(a + b - c)} = ?$

Discussion

11191.	Factorise: y2−9√2+40
Answer» Factorise: $y^{2} - 9 \sqrt{2} + 40$

Discussion

11192.	The decimal expansion of the rational number 3322 × 5 will terminate after (a) one decimal place (b) Two decimal places (c) three decimal places (d) more than 3 decimal places
Answer» The decimal expansion of the rational number $\frac{33}{2^{2} \times 5}$ will terminate after (a) one decimal place (b) Two decimal places (c) three decimal places (d) more than 3 decimal places

Discussion

11193.	If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a quadrilateral whose opposite angles are __________.
Answer» If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a quadrilateral whose opposite angles are __________.

Discussion

11194.	ʃ(2x+1)√(12+12x-9x²)dx=?
Answer» ʃ(2x+1)√(12+12x-9x²)dx=?

Discussion

11195.	The number (1+√3)2 is a/an ____________.
Answer» The number ${(1 + \sqrt{3})}^{2}$ is a/an ____________.

Discussion

11196.	If two sides of a triangle measure 4 cm and 6 cm find all possible measurements (positive Integers) of the third side.
Answer» If two sides of a triangle measure $4 cm$ and $6 cm$ find all possible measurements (positive Integers) of the third side.

Discussion

11197.	Find the equation of the given line:
Answer» Find the equation of the given line:

Discussion

11198.	The height of 10 students in a class are (in cm):-135, 143, 132, 149, 150, 143, 158, 124, 143, 152Find the mode.
Answer» The height of 10 students in a class are (in cm):- 135, 143, 132, 149, 150, 143, 158, 124, 143, 152 Find the mode.

Discussion

11199.	57. The side of a right angle triangle is 17 cm less than the other side. If length of hypoteneuse is 25 cm, find the length of Sides
Answer» 57. The side of a right angle triangle is 17 cm less than the other side. If length of hypoteneuse is 25 cm, find the length of Sides

Discussion

11200.

In the given figure, if ∠AOC=120∘, then ∠ABC = _______.

Answer»

In the given figure, if $∠ A O C = 120^{\circ}$ , then $∠ A B C$ = _______.

Discussion

Explore topic-wise InterviewSolutions in .

Write the coordinates of all points in the graph given below:

If one of the four angles formed by two intersecting lines us a right angle, then show that each of the four angles is a right angle.

Given below is a cumulative frequency distribution table showing the ages of people living in a locality: Age in years No. of persons Above 108 Above 96 Above 84 Above 72 Above 60 Above 48 Above 36 Above 24 Above 12 Above 0 0 1 3 5 20 158 427 809 1026 1124 Prepare a frequency distribution table.

Question 8 A hemispherical bowl is made of steel, 0.25 cm thick.The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. [Assume π=227]

Question 1 Find the remainder when x3+3x2+3x+1 is divided by (i) x + 1 (ii) x−12 (iii) x (iv) x+π (v) 5 + 2x

How many bricks will be required to construct a wall 8 m long,6m high and 22.5 cm thick if each brick measures 25m×11.25cm×6cm.?

The mean of a data is 15 and the sum of the observations is 195. The number of observations is(a) 13 (b) 19 (c) 16 (d) 17

Draw the frequency polygon representing the following frequency distribution. Class interval30−3435−3940−4445−4950−5455−59Frequency1216208104 [4 MARKS]

In fig. BD || CA, E is mid-point of CA and BD=12AC. Then .

Question 9In figure , AB ∥ DE, AB = DE, AC ∥ DF and AC = DF . Prove that BC ∥ EF and BC = EF.

If a diameter of a circle is perpendicular to a chord, then it __________ the chord and its arc.

If (2x+5)∘, 3x∘, (5x+15)∘and 40∘ are four angles of a quadrilateral, find the value of ∠x and hence find the four angles. [2 MARKS]

In Fig. 74, if AB || CO, ∠CAB = 49°, ∠CBD = 27° and∠BDC = 112°, then the values of x and y are(a) x = 41, y = 90(b) x = 41,y = 63(c) x = 63, y = 41(d) x = 90, y = 41

In triangle PQR, base QR is divided at x such that QX =1/2 QR To Prove-ar(PQX) =1/3 ar(PQR)

In a trapezium ABCD with bases AB and CD where AB=52,BC=12,CD=39 and DA=5. The area of the trapezium ABCD is

A wall is in the shape of a trapezium whose parallel sides are 50 m and 20 m. The non-parallel sides are 28 m and 26 m. Find the area of the wall. [4 MARKS]

The sides of a quadrilateral taken in order are 5, 12, 14 and 15 metres respectively, and the angle contained by the first two sides is a right angle. Find its area.

Expand.(1) (2p + q +5)2 (2) (m + 2n +3r)2 (3) (3x +4y − 5p)2 (4) (7m − 3n − 4k)2

What is the eq. of †an gent to the circle x^2+y^2=25 which make an angle 60degree with the+ve dir.ofy-axis?

What is the degree of (x-1)?

"The quick brown fox jumps over the lazy dog"Examine the above sentence carefully and note the numbers of letters in each word. Treating the number of letters as a variable, prepare a frequency array for this data.

The base and hypotenuse of a right triangle are respectively 5cm and 13cm long. Its area is

If m Is the slope of a line and m+2=m+3, then the possible angle between line and x-axis is

Choose the incorrect statements among the following given options.

Find the value of cos260∘+sec230∘+tan245∘ ?

31. How to find eccentricity of ellipse

18.Given S^° c2H6=225Jmole-¹k-¹ S^° c2H4=220Jmole-¹k-¹ S^° H2=130Jmole-¹k-¹ then delta S^° for the process is C2H4+H2 ----- C2H6 is

How can the three figures given below be used to form an octagon?

If\sqrt[3]{x+9}- \sqrt[3]{x-9}=3, then x^{2 }lies betwee

The sum of two rational numbers is a rational number , this property is called as ___________

90.Find the area of Rhombus if the vertices are (3,0),(4,5),(-1,4) and (-2,-1) taken in order?

In the given figure, O is the centre of the circle with radius 20 cm and OD is perpendicular to AB. If AB=32 cm, find the length of CD.

The geometrical representation of a linear equation is a

AB is the longest chord of a circle with centre O. P is any point on the circumference of the circle, not coinciding with A or B. Find ∠APB in degrees.

When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively. Find the polynomial.

The height of the tower is 100 m. When the angle of elevation of the sun changes from 30∘ to 45∘, the shadow of the tower becomes x metres less. The value of x is :

135. If a-b, a and a+b are the zeroes of the polynomial f(x) = x3 - 9x2 + 12x + t, then find the value of t

20. If the chord through the points whose eccentric angles are A and B on the ellipse x²/a² + y²/b² = 1 passes through the negative focus then the value of Tan(A/2).Tan(B/2) is

If the foot of the perpendicular of (15, -3) on 11x - 2y + 46 = 0 is (x1,y1) then \(x_1+y_1)\ is ___

(xbxc)(b+c−a).(xcxa)(c+a−b).(xaxb)(a+b−c)=?

Factorise: y2−9√2+40

The decimal expansion of the rational number 3322 × 5 will terminate after (a) one decimal place (b) Two decimal places (c) three decimal places (d) more than 3 decimal places

If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a quadrilateral whose opposite angles are __________.

ʃ(2x+1)√(12+12x-9x²)dx=?

The number (1+√3)2 is a/an ____________.

If two sides of a triangle measure 4 cm and 6 cm find all possible measurements (positive Integers) of the third side.

Find the equation of the given line:

The height of 10 students in a class are (in cm):-135, 143, 132, 149, 150, 143, 158, 124, 143, 152Find the mode.

57. The side of a right angle triangle is 17 cm less than the other side. If length of hypoteneuse is 25 cm, find the length of Sides

In the given figure, if ∠AOC=120∘, then ∠ABC = _______.