24740 + Interview Questions in Mathematics

1.	Using factor theorem show that (a-b),(b-c) and (c-a) are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)
Answer» Using factor theorem show that (a-b),(b-c) and (c-a) are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)

Discussion

2.	Sir/ma'am Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..
Answer» Sir/ma'am Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..

2.

Sir/ma'am Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..

Answer»

Sir/ma'am

Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..

Discussion

3.	How to construct √8
Answer» How to construct √8

Discussion

4.	A bank gives 10% Simple Interest(S.I.) on deposits by senior citizens. Draw a graph to illustrate the relation between the sum deposited and simple interest earned. Find from your graph the following a) The annual interest obtainable for an investment of Rs. 250. b) The investment one has to make to get an annual simple interest of Rs. 70.
Answer» A bank gives 10% Simple Interest(S.I.) on deposits by senior citizens. Draw a graph to illustrate the relation between the sum deposited and simple interest earned. Find from your graph the following a) The annual interest obtainable for an investment of Rs. 250. b) The investment one has to make to get an annual simple interest of Rs. 70.

Discussion

5.	If A={x:x∈R, x2=16 and 2x=6}, then A = ___.
Answer» $If A = {x : x \in R, x^{2} = 16 and 2 x = 6},$ then A = ___.

Discussion

6.	A car is provided with 2 non overlapping wipers. The structure of each wiper is as shown in the figure. The brown blade actually wipes the glass sweeping through an angle of 120∘. If the length of the wiper is 35 cm and the length of the blade is 28 cm, find the total area(in cm2) cleaned for each sweep.
Answer» A car is provided with 2 non overlapping wipers. The structure of each wiper is as shown in the figure. The brown blade actually wipes the glass sweeping through an angle of $120^{\circ}$ . If the length of the wiper is 35 cm and the length of the blade is 28 cm, find the total area(in $c m^{2}$ ) cleaned for each sweep.

6.

A car is provided with 2 non overlapping wipers. The structure of each wiper is as shown in the figure. The brown blade actually wipes the glass sweeping through an angle of 120∘. If the length of the wiper is 35 cm and the length of the blade is 28 cm, find the total area(in cm2) cleaned for each sweep.

Answer»

A car is provided with 2 non overlapping wipers. The structure of each wiper is as shown in the figure. The brown blade actually wipes the glass sweeping through an angle of $120^{\circ}$ . If the length of the wiper is 35 cm and the length of the blade is 28 cm, find the total area(in $c m^{2}$ ) cleaned for each sweep.

Discussion

7.	A measure of the number of square units needed to cover the outside of a figure is called ………
Answer» A measure of the number of square units needed to cover the outside of a figure is called ………

Discussion

8.	Which of the following triangles is a pedal triangle of △ABC?
Answer» Which of the following triangles is a pedal triangle of $△ A B C$ ?

8.

Which of the following triangles is a pedal triangle of △ABC?

Answer»

Which of the following triangles is a pedal triangle of $△ A B C$ ?

Discussion

9.	What is the area of regular octagon inscribed in a circle of radius r units.
Answer» What is the area of regular octagon inscribed in a circle of radius r units.

Discussion

10.	In a right triangle ABC, right angled at C, the angle A is 4 times angle B, then the measure of angle B is
Answer» In a right triangle ABC, right angled at C, the angle A is 4 times angle B, then the measure of angle B is

Discussion

11.	If the mean of a given set of data is 20 and each observation is increased by 2,then the new mean is _______
Answer» If the mean of a given set of data is 20 and each observation is increased by 2,then the new mean is _______

Discussion

12.	If two sides of a triangle are equal the angles opposite to them are also equal why?undefinedundefinedundefinedundefined
Answer» If two sides of a triangle are equal the angles opposite to them are also equal why? undefined undefined undefined undefined

Discussion

13.	Find the interval of x such that ∣∣x2−3x−1x2+x+1∣∣<3 is satisfied is
Answer» Find the interval of $x$ such that $∣ ∣ \frac{x^{2} - 3 x - 1}{x^{2} + x + 1} ∣ ∣ < 3$ is satisfied is

Discussion

14.	Given ∆OAP ≅ ΔOBP in below figure, the criteria by which the triangles are congruent:
Answer» Given ∆OAP ≅ ΔOBP in below figure, the criteria by which the triangles are congruent:

14.

Given ∆OAP ≅ ΔOBP in below figure, the criteria by which the triangles are congruent:

Answer»

Given ∆OAP ≅ ΔOBP in below figure, the criteria by which the triangles are congruent:

Discussion

15.	(a+b+c)2 is the __ of the triangle.
Answer» $\frac{(a + b + c)}{2}$ is the __ of the triangle.

Discussion

16.	In a medical examination of students of a class, the following blood groups are recorded: Blood group A AB B O No. of students 10 13 12 5 A student is selected at random from the class. Find the probability that he/she has blood group B.
Answer» In a medical examination of students of a class, the following blood groups are recorded: Blood group A AB B O No. of students 10 13 12 5 A student is selected at random from the class. Find the probability that he/she has blood group B.

16.

In a medical examination of students of a class, the following blood groups are recorded: Blood group A AB B O No. of students 10 13 12 5 A student is selected at random from the class. Find the probability that he/she has blood group B.

Answer»

In a medical examination of students of a class, the following blood groups are recorded:

Blood group A AB B O

No. of students 10 13 12 5

A student is selected at random from the class. Find the probability that he/she has blood group B.

Discussion

17.	In triangle ABC, right angled at B, if ∠A is made smaller and smaller till it becomes zero, what can you say about BC and AC if AB = 1 unit
Answer» In triangle ABC, right angled at B, if $∠ A$ is made smaller and smaller till it becomes zero, what can you say about BC and AC if AB = 1 unit

17.

In triangle ABC, right angled at B, if ∠A is made smaller and smaller till it becomes zero, what can you say about BC and AC if AB = 1 unit

Answer»

In triangle ABC, right angled at B, if $∠ A$ is made smaller and smaller till it becomes zero, what can you say about BC and AC if AB = 1 unit

Discussion

18.	Are the diagonals of an isosceles trapezium congruent?
Answer» Are the diagonals of an isosceles trapezium congruent?

Discussion

19.	If the diagonals of a quadrilateral bisect each other at right angles then the figure is a (a) trapezium (b) parallelogram (c) rectangle (d) rhombus
Answer» If the diagonals of a quadrilateral bisect each other at right angles then the figure is a (a) trapezium (b) parallelogram (c) rectangle (d) rhombus

19.

If the diagonals of a quadrilateral bisect each other at right angles then the figure is a (a) trapezium (b) parallelogram (c) rectangle (d) rhombus

Answer»

If the diagonals of a quadrilateral bisect each other at right angles then the figure is a

(a) trapezium

(b) parallelogram

(c) rectangle

(d) rhombus

Discussion

20.	ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles.
Answer» ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that $Δ A B C$ is isosceles.

Discussion

21.	If 'p' and 'q' are rational numbers, then find the values of 'p' and 'q' given that 4−2√32+√3=p√6+q
Answer» If 'p' and 'q' are rational numbers, then find the values of 'p' and 'q' given that $\frac{4 - 2 \sqrt{3}}{2 + \sqrt{3}} = p \sqrt{6} + q$

Discussion

22.	Explain Euclid's division leema.
Answer» Explain Euclid's division leema.

Discussion

23.	A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amir, and Anand are sitting at an equal distance on its boundary each having a toy telephone in his hands to talk to each other. Find the length of the string of each phone.
Answer» A circular park of radius $40 m$ is situated in a colony. Three boys Ankur, Amir, and Anand are sitting at an equal distance on its boundary each having a toy telephone in his hands to talk to each other. Find the length of the string of each phone.

Discussion

24.	The number 1.¯¯¯¯¯¯27 in the form pq, where p and q are integers and q ≠ 0, is
Answer» The number $1. ¯ ¯¯¯¯ ¯ 27$ in the form $\frac{p}{q}$ , where p and q are integers and q $\neq$ 0, is

Discussion

25.	How many cubic metres of earth must be dugout to sink a well 21 m deep and 6 m diameter? Find the cost of plastering the inner surface of the well at Rs. 9.50 per m2.
Answer» How many cubic metres of earth must be dugout to sink a well 21 m deep and 6 m diameter? Find the cost of plastering the inner surface of the well at Rs. 9.50 per $m^{2}$ .

Discussion

26.	The taxi fare in a city is as follows: For the first kilometre , the fare is RS. 20 and for the subsequent distance it is Rs.6 per km. Taking x km as the distance covered and RS. y as the total fare, write a linear equation for this information in the form of as+by+c=0 and indicate the values of a, b and c.
Answer» The taxi fare in a city is as follows: For the first kilometre , the fare is RS. 20 and for the subsequent distance it is Rs.6 per km. Taking x km as the distance covered and RS. y as the total fare, write a linear equation for this information in the form of as+by+c=0 and indicate the values of a, b and c.

Discussion

27.	dimater of the base of a cone is 10.5cm and its slant hight is 10 cm find its curved surface area
Answer» dimater of the base of a cone is 10.5cm and its slant hight is 10 cm find its curved surface area

Discussion

28.	Among the following theorems, converse of which statement will NOT always be true?
Answer» Among the following theorems, converse of which statement will NOT always be true?

Discussion

29.	Question 5 P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and AC⊥BD. Prove that PQRS is a square.
Answer» Question 5 P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and $A C ⊥ B D$ . Prove that PQRS is a square.

Discussion

30.	Show that the line segment joining the points of contact of two parallel tangents passes through the centre.
Answer» Show that the line segment joining the points of contact of two parallel tangents passes through the centre.

30.

Show that the line segment joining the points of contact of two parallel tangents passes through the centre.

Answer»

Show that the line segment joining the points of contact of two parallel tangents passes through the centre.

Discussion

31.	Represent 3x=2y−2 in standard form ax+by+c=0 and find the values of a,b and c. Which options are correct?
Answer» Represent $3 x = 2 y - 2$ in standard form $a x + b y + c = 0$ and find the values of $a, b a n d c .$ Which options are correct?

Discussion

32.	Question 18 The points whose abscissa and ordinate have different signs will lie in A) I and II quadrants B) II and III quadrants C) I and III quadrants D) II and IV quadrants
Answer» Question 18 The points whose abscissa and ordinate have different signs will lie in A) I and II quadrants B) II and III quadrants C) I and III quadrants D) II and IV quadrants

Discussion

33.	Tomorrow exam but I don't know the chapter can you please tell me the most important to study in this topic please
Answer» Tomorrow exam but I don't know the chapter can you please tell me the most important to study in this topic please

Discussion

34.	If y=√5+2√5−2, then y2= _________.
Answer» $If y = \frac{\sqrt{5} + 2}{\sqrt{5} - 2}$ , then $y^{2} =$ _________.

Discussion

35.	Two dice are thrown simultaneously . What is the probability that (1) 5 will not come up on either of them. (2) 5will come up at least one. (3) 5 will come up at both dice .
Answer» Two dice are thrown simultaneously . What is the probability that (1) 5 will not come up on either of them. (2) 5will come up at least one. (3) 5 will come up at both dice .

Discussion

36.	Expand the following, using suitable identities: (14a−12b+1)2 [3 MARKS]
Answer» Expand the following, using suitable identities: ${(\frac{1}{4} a - \frac{1}{2} b + 1)}^{2}$ [3 MARKS]

Discussion

37.	Simplifyi:(7+3√5\3+√5)+(7-3√5\3-√5
Answer» Simplifyi:(7+3√5\3+√5)+(7-3√5\3-√5

Discussion

38.	A rectangle's sides are extended by 5 m. The new area of the figure is given by the expression: a(x)=x3+7x+8. x is the extension of sides. What is the new area?
Answer» A rectangle's sides are extended by 5 m. The new area of the figure is given by the expression: $a (x) = x^{3} + 7 x + 8$ . $x$ is the extension of sides. What is the new area?

Discussion

39.	Find the nature of the product (√2-√3)(√3+√2)
Answer» Find the nature of the product (√2-√3)(√3+√2)

Discussion

40.	In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division. f(x) = 4x4−3x3−2x2+x−7, g(x) = x - 1
Answer» In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division. f(x) = $4 x^{4} - 3 x^{3} - 2 x^{2} + x - 7$ , g(x) = x - 1

40.

In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division. f(x) = 4x4−3x3−2x2+x−7, g(x) = x - 1

Answer»

In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division.

f(x) = $4 x^{4} - 3 x^{3} - 2 x^{2} + x - 7$ , g(x) = x - 1

Discussion

41.	‘- p’ and ‘q’ are the zeroes of the polynomial x2–bx+c. The zeroes of the polynomial x2–bxy+cy2are:
Answer» ‘- p’ and ‘q’ are the zeroes of the polynomial $x^{2} - b x + c$ . The zeroes of the polynomial $x^{2} - b x y + c y^{2}$ are:

Discussion

42.	1+tan2A1+cot2A is equal to
Answer» $\frac{1 + {tan}^{2} A}{1 + {cot}^{2} A}$ is equal to

Discussion

43.	Congruent circles that have congruent central angles have
Answer» Congruent circles that have congruent central angles have

Discussion

44.	ABCD is a trapezium with AB∥DC. E and F are points on non-parallel sides AD and BC respectively such that EF∥AB. Show that AEED=BFFC. [2 MARKS]
Answer» ABCD is a trapezium with $A B ∥ D C$ . E and F are points on non-parallel sides AD and BC respectively such that $E F ∥ A B$ . Show that $\frac{A E}{E D} = \frac{B F}{F C}$ . [2 MARKS]

44.

ABCD is a trapezium with AB∥DC. E and F are points on non-parallel sides AD and BC respectively such that EF∥AB. Show that AEED=BFFC. [2 MARKS]

Answer»

ABCD is a trapezium with $A B ∥ D C$ . E and F are points on non-parallel sides AD and BC respectively such that $E F ∥ A B$ . Show that $\frac{A E}{E D} = \frac{B F}{F C}$ . [2 MARKS]

Discussion

45.	Question 6 (i) The volume of a right circular cone is 9856cm3. If the diameter of the base is 28 cm, find: (i) height of the cone. [Assume π=227]
Answer» Question 6 (i) The volume of a right circular cone is $9856 c m^{3}$ . If the diameter of the base is 28 cm, find: (i) height of the cone. $[A s s u m e π = \frac{22}{7}]$

Discussion

46.	Which of the following points do not lie on the line 3x - y = 6?
Answer» Which of the following points do not lie on the line 3x - y = 6?

Discussion

47.	The sum of two angles of a triangle is 116o and their difference is 24o. The measure of each angle of the triangle is
Answer» The sum of two angles of a triangle is 116^o and their difference is 24^o. The measure of each angle of the triangle is

Discussion

48.	A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, then find the volume of water already used from the tank.
Answer» A storage tank is in the form of a cube. When it is full of water, the volume of water is $15.625 m^{3}$ . If the present depth of water is $1.3 m,$ then find the volume of water already used from the tank.

Discussion

49.	Factorise 10000−x4 is ____
Answer» Factorise $10000 - x^{4}$ is ____

Discussion

50.	If a random diagram can be cut into fourteen equal parts, how many lines of symmetry does it have? Draw such a diagram. [3 MARKS]
Answer» If a random diagram can be cut into fourteen equal parts, how many lines of symmetry does it have? Draw such a diagram. [3 MARKS]

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Using factor theorem show that (a-b),(b-c) and (c-a) are the factors of a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)

Sir/ma'am Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..

How to construct √8

If A={x:x∈R, x2=16 and 2x=6}, then A = ___.

A measure of the number of square units needed to cover the outside of a figure is called ………

Which of the following triangles is a pedal triangle of △ABC?

What is the area of regular octagon inscribed in a circle of radius r units.

In a right triangle ABC, right angled at C, the angle A is 4 times angle B, then the measure of angle B is

If the mean of a given set of data is 20 and each observation is increased by 2,then the new mean is _______

If two sides of a triangle are equal the angles opposite to them are also equal why?undefinedundefinedundefinedundefined

Find the interval of x such that ∣∣x2−3x−1x2+x+1∣∣&lt;3 is satisfied is

Given ∆OAP ≅ ΔOBP in below figure, the criteria by which the triangles are congruent:

(a+b+c)2 is the __ of the triangle.

In a medical examination of students of a class, the following blood groups are recorded: Blood group A AB B O No. of students 10 13 12 5 A student is selected at random from the class. Find the probability that he/she has blood group B.

In triangle ABC, right angled at B, if ∠A is made smaller and smaller till it becomes zero, what can you say about BC and AC if AB = 1 unit

Are the diagonals of an isosceles trapezium congruent?

If the diagonals of a quadrilateral bisect each other at right angles then the figure is a (a) trapezium (b) parallelogram (c) rectangle (d) rhombus

ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles.

If 'p' and 'q' are rational numbers, then find the values of 'p' and 'q' given that 4−2√32+√3=p√6+q

Explain Euclid's division leema.

A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amir, and Anand are sitting at an equal distance on its boundary each having a toy telephone in his hands to talk to each other. Find the length of the string of each phone.

The number 1.¯¯¯¯¯¯27 in the form pq, where p and q are integers and q ≠ 0, is

How many cubic metres of earth must be dugout to sink a well 21 m deep and 6 m diameter? Find the cost of plastering the inner surface of the well at Rs. 9.50 per m2.

dimater of the base of a cone is 10.5cm and its slant hight is 10 cm find its curved surface area

Among the following theorems, converse of which statement will NOT always be true?

Question 5 P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and AC⊥BD. Prove that PQRS is a square.

Show that the line segment joining the points of contact of two parallel tangents passes through the centre.

Represent 3x=2y−2 in standard form ax+by+c=0 and find the values of a,b and c. Which options are correct?

Question 18 The points whose abscissa and ordinate have different signs will lie in A) I and II quadrants B) II and III quadrants C) I and III quadrants D) II and IV quadrants

Tomorrow exam but I don't know the chapter can you please tell me the most important to study in this topic please

If y=√5+2√5−2, then y2= _________.

Two dice are thrown simultaneously . What is the probability that (1) 5 will not come up on either of them. (2) 5will come up at least one. (3) 5 will come up at both dice .

Expand the following, using suitable identities: (14a−12b+1)2 [3 MARKS]

Simplifyi:(7+3√5\3+√5)+(7-3√5\3-√5

A rectangle's sides are extended by 5 m. The new area of the figure is given by the expression: a(x)=x3+7x+8. x is the extension of sides. What is the new area?

Find the nature of the product (√2-√3)(√3+√2)

In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division. f(x) = 4x4−3x3−2x2+x−7, g(x) = x - 1

‘- p’ and ‘q’ are the zeroes of the polynomial x2–bx+c. The zeroes of the polynomial x2–bxy+cy2are:

1+tan2A1+cot2A is equal to

Congruent circles that have congruent central angles have

ABCD is a trapezium with AB∥DC. E and F are points on non-parallel sides AD and BC respectively such that EF∥AB. Show that AEED=BFFC. [2 MARKS]

Question 6 (i) The volume of a right circular cone is 9856cm3. If the diameter of the base is 28 cm, find: (i) height of the cone. [Assume π=227]

Which of the following points do not lie on the line 3x - y = 6?

The sum of two angles of a triangle is 116o and their difference is 24o. The measure of each angle of the triangle is

A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 m3. If the present depth of water is 1.3 m, then find the volume of water already used from the tank.

Factorise 10000−x4 is ____

If a random diagram can be cut into fourteen equal parts, how many lines of symmetry does it have? Draw such a diagram. [3 MARKS]

Find the interval of x such that ∣∣x2−3x−1x2+x+1∣∣<3 is satisfied is