24740 + Interview Questions in Mathematics Page 142 InterviewSolution

7051.	An angle is equal to five times its complement.determine its measure.
Answer» An angle is equal to five times its complement.determine its measure.

Discussion

7052.	Mirror image of point (1, 2) with respect to the y-axis is ______.
Answer» Mirror image of point (1, 2) with respect to the y-axis is ______.

Discussion

7053.	One angle is equal to three times of its supplement.The measure of the angle is:
Answer» One angle is equal to three times of its supplement.The measure of the angle is:

Discussion

7054.	Find the slope of the line z(1 - i) + z(1 + i) + 2 = 0
Answer» Find the slope of the line z(1 - i) + z(1 + i) + 2 = 0

Discussion

7055.	If the total length of the boundary is 44 cm, what will be the length of the fourth edge ?
Answer» If the total length of the boundary is 44 cm, what will be the length of the fourth edge ?

Discussion

7056.	The angle bisectors BD and CE of a triangle ABC are divided by the incentre I in the ratio of 3 : 2 and 2 :1 respectively. Then the ratio in which I divide the angle bisector through A is.
Answer» The angle bisectors BD and CE of a triangle ABC are divided by the incentre I in the ratio of 3 : 2 and 2 :1 respectively. Then the ratio in which I divide the angle bisector through A is.

Discussion

7057.	Question 4The area of an equilateral triangle with side 2√3cm is
Answer» Question 4 The area of an equilateral triangle with side $2 \sqrt{3} c m$ is

Discussion

7058.	In the following question out of the four options only one is correct, write the correct answer. The value of S in 13+S=25 is :(a) 45(b) 115(c) 10(d) 0
Answer» In the following question out of the four options only one is correct, write the correct answer. The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is : (a) $\frac{4}{5}$ (b) $\frac{1}{15}$ (c) $10$ (d) $0$

7058.

In the following question out of the four options only one is correct, write the correct answer. The value of S in 13+S=25 is :(a) 45(b) 115(c) 10(d) 0

Answer»

In the following question out of the four options only one is correct, write the correct answer.

The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is :

(a) $\frac{4}{5}$

(b) $\frac{1}{15}$

(c) $10$

(d) $0$

Discussion

7059.	A has no breadth.
Answer» A has no breadth.

Discussion

7060.	If the figure on the given cartesian plane is reflected about the inclined line, identify which of the following is correct?
Answer» If the figure on the given cartesian plane is reflected about the inclined line, identify which of the following is correct?

Discussion

7061.	if radii of two concentric circles are 15 cm and 17 cm, then what is the length of each chord of one circle which is †an gent to the other?
Answer» if radii of two concentric circles are 15 cm and 17 cm, then what is the length of each chord of one circle which is †an gent to the other?

Discussion

7062.	A solid generated by the revolution of a rectangle about one of its sides is called a ………
Answer» A solid generated by the revolution of a rectangle about one of its sides is called a ………

Discussion

7063.	Question 17The age of the father is twice the sum of the ages of his two children. After 20 yr, his age will be equal to t he sum of the ages of his children find the age of the father.
Answer» Question 17 The age of the father is twice the sum of the ages of his two children. After 20 yr, his age will be equal to t he sum of the ages of his children find the age of the father.

Discussion

7064.	Find the roots of the equation: x-5=0
Answer» Find the roots of the equation: x-5=0

Discussion

7065.	If ab+bc+ca=36 and a2+b2+c2=85 then find a+b+c.
Answer» If $a b + b c + c a = 36$ and $a^{2} + b^{2} + c^{2} = 85$ then find $a + b + c$ .

Discussion

7066.	In a triangle ABC, D is the middle point of BC. If AD is perpendicular to AC, then cosAcosC=
Answer» In a triangle $A B C$ , $D$ is the middle point of $B C$ . If $A D$ is perpendicular to $A C$ , then $cos A cos C =$

Discussion

7067.	A solid cylindrical pipe made of wax has a radius of 2 cm and height equal to 14 cm. It is melted and recast into a solid prism of base area 16 cm2. What will be the height of the prism?
Answer» A solid cylindrical pipe made of wax has a radius of 2 cm and height equal to 14 cm. It is melted and recast into a solid prism of base area $16 c m^{2} .$ What will be the height of the prism?

Discussion

7068.	There is hollow cube. Its external edge is 5 cm long and its internal edge is 3 cm long. What is its surface area in cm2 ?
Answer» There is hollow cube. Its external edge is 5 cm long and its internal edge is 3 cm long. What is its surface area in $c m^{2}$ ?

Discussion

7069.	The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is
Answer» The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is

Discussion

7070.	CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ ΔBCE.
Answer» CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ ΔBCE.

Discussion

7071.	14. The number Of normals that can be drawn to the curve 4x2+9y2=36 from an external point in general is
Answer» 14. The number Of normals that can be drawn to the curve 4x2+9y2=36 from an external point in general is

Discussion

7072.	Let X¯ be the mean of x1,x2,...,xn, and Y¯ the mean of y1,y2,...,yn, if Z¯ is the mean of x1,x2,...,xn, y1,y2,...,yn, then Z¯ is equal to (a) X¯ +Y¯(b) X¯+Y¯2(c) X¯+Y¯n(d) X¯+Y¯2n
Answer» Let $\bar{X}$ be the mean of x₁,x₂,...,x_n, and $\bar{Y}$ the mean of y₁,y₂,...,y_n, if $\bar{Z}$ is the mean of x₁,x₂,...,x_n, y₁,y₂,...,y_n, then $\bar{Z}$ is equal to $(a) \bar{X} + \bar{Y} (b) \frac{\bar{X} + \bar{Y}}{2} (c) \frac{\bar{X} + \bar{Y}}{n} (d) \frac{\bar{X} + \bar{Y}}{2 n}$

Discussion

7073.	Which among the given options is one of the factors ofx2+x6−16?
Answer» Which among the given options is one of the factors of $x^{2} + \frac{x}{6} - \frac{1}{6}$ ?

Discussion

7074.	Question 11 (i)In ΔABC and ΔDEF ,AB=DE, AB \|\| DE, BC =EF and BC \|\| EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral ABED is a parallelogram.
Answer» Question 11 (i) In $Δ A B C$ and $Δ D E F$ ,AB=DE, AB \|\| DE, BC =EF and BC \|\| EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral ABED is a parallelogram.

Discussion

7075.	(x+a)(x+b) = x2 + () x + ab
Answer» $(x + a) (x + b)$ = $x^{2}$ + () $x$ + $a b$

Discussion

7076.	The relation between the number of tires and their prices (in ₹) is given by the equation, y = 185x. Choose the equation that represents the price per tyre greater than ₹185.
Answer» The relation between the number of tires and their prices (in ₹) is given by the equation, $y$ = 185 $x$ . Choose the equation that represents the price per tyre greater than ₹185.

Discussion

7077.	Question 2The diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area.
Answer» Question 2 The diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area.

Discussion

7078.	Question 6In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in Fig. 12.24. Find the area of the design.
Answer» Question 6 In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in Fig. 12.24. Find the area of the design.

Discussion

7079.	Taking 4 as the magnitude of the class intervals, form a grouped frequency distribution using the following data by inclusive method.31, 23, 19, 29, 22, 20, 16, 10, 13, 3438, 33, 28, 21, 15, 18, 36, 24, 18, 1512, 30, 27, 23, 20, 17, 14, 32, 26, 2518, 29, 24, 19, 16, 11, 22, 15, 17, 10
Answer» Taking 4 as the magnitude of the class intervals, form a grouped frequency distribution using the following data by inclusive method. 31, 23, 19, 29, 22, 20, 16, 10, 13, 34 38, 33, 28, 21, 15, 18, 36, 24, 18, 15 12, 30, 27, 23, 20, 17, 14, 32, 26, 25 18, 29, 24, 19, 16, 11, 22, 15, 17, 10

Discussion

7080.	A Joker's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm.Find the area of the sheet required to make 10 such caps.
Answer» A Joker's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm.Find the area of the sheet required to make 10 such caps.

Discussion

7081.	Compute the perimeter of the quadrilateral with measures as given below, correct to centimetres:
Answer» Compute the perimeter of the quadrilateral with measures as given below, correct to centimetres:

7081.

Compute the perimeter of the quadrilateral with measures as given below, correct to centimetres:

Answer»

Compute the perimeter of the quadrilateral with measures as given below, correct to centimetres:

Discussion

7082.	How many points can be common in two distinct straight lines?
Answer» How many points can be common in two distinct straight lines?

Discussion

7083.	Q. Show that the line segments joining the mid points of opposite sides of a quadrilateral bisects each other.
Answer» Q. Show that the line segments joining the mid points of opposite sides of a quadrilateral bisects each other.

Discussion

7084.	Add xy²+4x²y-7x²y-3xy²+3+x²y+xy²
Answer» Add xy²+4x²y-7x²y-3xy²+3+x²y+xy²

Discussion

7085.	A hand fan is made by stitching 10 equal size triangular strips of two different type of paper as shown below. The dimensions of equal strips are 25 cm, 25 cm and 14 cm . Find the total area of paper needed to make the hand fan.
Answer» A hand fan is made by stitching 10 equal size triangular strips of two different type of paper as shown below. The dimensions of equal strips are 25 cm, 25 cm and 14 cm . Find the total area of paper needed to make the hand fan.

Discussion

7086.	Which of the following statements are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.
Answer» Which of the following statements are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

7086.

Which of the following statements are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

Answer»

Which of the following statements are true?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

Discussion

7087.	Maria invested ₹8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find the interest for the third year.
Answer» Maria invested ₹8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find the interest for the third year.

Discussion

7088.	In fig., If PQ ∥ BC and PR ∥CD. Prove that ARAD= AQAB. [4 MARKS]
Answer» In fig., If PQ $∥$ BC and PR $∥$ CD. Prove that $\frac{A R}{A D}$ = $\frac{A Q}{A B}$ . [4 MARKS]

7088.

In fig., If PQ ∥ BC and PR ∥CD. Prove that ARAD= AQAB. [4 MARKS]

Answer»

In fig., If PQ $∥$ BC and PR $∥$ CD. Prove that $\frac{A R}{A D}$ = $\frac{A Q}{A B}$ . [4 MARKS]

Discussion

7089.	1 − 27a3
Answer» 1 − 27a³

Discussion

7090.	x2 + 29x = -210 y2 + 28y = -195
Answer» $x^{2}$ + 29x = -210 $y^{2}$ + 28y = -195

7090.

x2 + 29x = -210 y2 + 28y = -195

Answer»

$x^{2}$ + 29x = -210

$y^{2}$ + 28y = -195

Discussion

7091.	Find the equation 5x+8y=50,if y=10, then find the value of x
Answer» Find the equation 5x+8y=50,if y=10, then find the value of x

Discussion

7092.	Median of the following dataset:--5 , -15 , -10 , -2 , -4 , -2 , -17 , -1-4.5
Answer» Median of the following dataset:- -5 , -15 , -10 , -2 , -4 , -2 , -17 , -1 -4.5

Discussion

7093.	Question 3 (i) The relative humidity (in %) of a certain city for a month of 30 days was asfollows: 98.198.699.290.386.595.392.996.394.295.189.292.397.193.592.795.197.293.395.297.396.292.184.990.295.798.397.396.192.189 (i) Construct a grouped frequency distribution table with classes 84 - 86, 86 - 88,etc.
Answer» Question 3 (i) The relative humidity (in %) of a certain city for a month of 30 days was asfollows: $\begin{matrix} 98.1 & 98.6 & 99.2 & 90.3 & 86.5 & 95.3 & 92.9 & 96.3 & 94.2 & 95.1 89.2 & 92.3 & 97.1 & 93.5 & 92.7 & 95.1 & 97.2 & 93.3 & 95.2 & 97.3 96.2 & 92.1 & 84.9 & 90.2 & 95.7 & 98.3 & 97.3 & 96.1 & 92.1 & 89 \end{matrix}$ (i) Construct a grouped frequency distribution table with classes 84 - 86, 86 - 88,etc.

Discussion

7094.	The part of the plane enclosed by a simple closed figure is called a ___ region.
Answer» The part of the plane enclosed by a simple closed figure is called a ___ region.

Discussion

7095.	In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.
Answer» In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.

Discussion

7096.	AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that(i) AD bisects BC (ii) AD bisects ∠A.
Answer» AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects ∠A.

7096.

AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that(i) AD bisects BC (ii) AD bisects ∠A.

Answer»

AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that

(i) AD bisects BC (ii) AD bisects ∠A.

Discussion

7097.	Question 183Find the maximum number of acute angles which a convex quadrilateral, a pentagon and a hexagon can have. Observe the pattern and generalise the result for any polygon.
Answer» Question 183 Find the maximum number of acute angles which a convex quadrilateral, a pentagon and a hexagon can have. Observe the pattern and generalise the result for any polygon.

Discussion

7098.	In a parallelogram ABCD,it is being given that AB=10 cm and the altitudes corresponding to the sides AB and AD are DL=6 cm and BM=8 cm,respectively.Find AD.
Answer» In a parallelogram ABCD,it is being given that AB=10 cm and the altitudes corresponding to the sides AB and AD are DL=6 cm and BM=8 cm,respectively.Find AD.

7098.

In a parallelogram ABCD,it is being given that AB=10 cm and the altitudes corresponding to the sides AB and AD are DL=6 cm and BM=8 cm,respectively.Find AD.

Answer»

In a parallelogram ABCD,it is being given that AB=10 cm and the altitudes corresponding to the sides AB and AD are DL=6 cm and BM=8 cm,respectively.Find AD.

Discussion

7099.	Choose polynomial expressions.
Answer» Choose polynomial expressions.

Discussion

7100.	The value of (2x−3y)3+(x+3y)3+3(2x−3y)2(x+3y)+3(2x−3y)(x+3y)2=
Answer» The value of $(2 x - 3 y)^{3} + (x + 3 y)^{3} + 3 (2 x - 3 y)^{2} (x + 3 y) + 3 (2 x - 3 y) (x + 3 y)^{2} =$

Discussion

Explore topic-wise InterviewSolutions in .

An angle is equal to five times its complement.determine its measure.

Mirror image of point (1, 2) with respect to the y-axis is ______.

One angle is equal to three times of its supplement.The measure of the angle is:

Find the slope of the line z(1 - i) + z(1 + i) + 2 = 0

If the total length of the boundary is 44 cm, what will be the length of the fourth edge ?

The angle bisectors BD and CE of a triangle ABC are divided by the incentre I in the ratio of 3 : 2 and 2 :1 respectively. Then the ratio in which I divide the angle bisector through A is.

Question 4The area of an equilateral triangle with side 2√3cm is

In the following question out of the four options only one is correct, write the correct answer. The value of S in 13+S=25 is :(a) 45(b) 115(c) 10(d) 0

A has no breadth.

If the figure on the given cartesian plane is reflected about the inclined line, identify which of the following is correct?

if radii of two concentric circles are 15 cm and 17 cm, then what is the length of each chord of one circle which is †an gent to the other?

A solid generated by the revolution of a rectangle about one of its sides is called a ………

Question 17The age of the father is twice the sum of the ages of his two children. After 20 yr, his age will be equal to t he sum of the ages of his children find the age of the father.

Find the roots of the equation: x-5=0

If ab+bc+ca=36 and a2+b2+c2=85 then find a+b+c.

In a triangle ABC, D is the middle point of BC. If AD is perpendicular to AC, then cosAcosC=

A solid cylindrical pipe made of wax has a radius of 2 cm and height equal to 14 cm. It is melted and recast into a solid prism of base area 16 cm2. What will be the height of the prism?

There is hollow cube. Its external edge is 5 cm long and its internal edge is 3 cm long. What is its surface area in cm2 ?

The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is

CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ ΔBCE.

14. The number Of normals that can be drawn to the curve 4x2+9y2=36 from an external point in general is

Let X¯ be the mean of x1,x2,...,xn, and Y¯ the mean of y1,y2,...,yn, if Z¯ is the mean of x1,x2,...,xn, y1,y2,...,yn, then Z¯ is equal to (a) X¯ +Y¯(b) X¯+Y¯2(c) X¯+Y¯n(d) X¯+Y¯2n

Which among the given options is one of the factors ofx2+x6−16?

Question 11 (i)In ΔABC and ΔDEF ,AB=DE, AB || DE, BC =EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral ABED is a parallelogram.

(x+a)(x+b) = x2 + () x + ab

The relation between the number of tires and their prices (in ₹) is given by the equation, y = 185x. Choose the equation that represents the price per tyre greater than ₹185.

Question 6In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in Fig. 12.24. Find the area of the design.

Taking 4 as the magnitude of the class intervals, form a grouped frequency distribution using the following data by inclusive method.31, 23, 19, 29, 22, 20, 16, 10, 13, 3438, 33, 28, 21, 15, 18, 36, 24, 18, 1512, 30, 27, 23, 20, 17, 14, 32, 26, 2518, 29, 24, 19, 16, 11, 22, 15, 17, 10

A Joker's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm.Find the area of the sheet required to make 10 such caps.

Compute the perimeter of the quadrilateral with measures as given below, correct to centimetres:

How many points can be common in two distinct straight lines?

Q. Show that the line segments joining the mid points of opposite sides of a quadrilateral bisects each other.

Add xy²+4x²y-7x²y-3xy²+3+x²y+xy²

A hand fan is made by stitching 10 equal size triangular strips of two different type of paper as shown below. The dimensions of equal strips are 25 cm, 25 cm and 14 cm . Find the total area of paper needed to make the hand fan.

Which of the following statements are true? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

Maria invested ₹8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find the interest for the third year.

In fig., If PQ ∥ BC and PR ∥CD. Prove that ARAD= AQAB. [4 MARKS]

1 − 27a3

x2 + 29x = -210 y2 + 28y = -195

Find the equation 5x+8y=50,if y=10, then find the value of x

Median of the following dataset:--5 , -15 , -10 , -2 , -4 , -2 , -17 , -1-4.5

The part of the plane enclosed by a simple closed figure is called a ___ region.

In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.

AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that(i) AD bisects BC (ii) AD bisects ∠A.

Question 183Find the maximum number of acute angles which a convex quadrilateral, a pentagon and a hexagon can have. Observe the pattern and generalise the result for any polygon.

In a parallelogram ABCD,it is being given that AB=10 cm and the altitudes corresponding to the sides AB and AD are DL=6 cm and BM=8 cm,respectively.Find AD.

Choose polynomial expressions.

The value of (2x−3y)3+(x+3y)3+3(2x−3y)2(x+3y)+3(2x−3y)(x+3y)2=