32581 + Interview Questions in Mathematics

1.	Find the value of AD in the given figure.
Answer» Find the value of AD in the given figure.

Discussion

2.	Find mean median and mode No.of plants. 0-2. 2-4. 4-6. 6-8. 8-10. 10-12. 12-14 No.Of houses 1. 2. 1. 5. 6. 2. 3
Answer» Find mean median and mode No.of plants. 0-2. 2-4. 4-6. 6-8. 8-10. 10-12. 12-14 No.Of houses 1. 2. 1. 5. 6. 2. 3

2.

Find mean median and mode No.of plants. 0-2. 2-4. 4-6. 6-8. 8-10. 10-12. 12-14 No.Of houses 1. 2. 1. 5. 6. 2. 3

Answer»

Find mean median and mode

No.of plants. 0-2. 2-4. 4-6. 6-8. 8-10. 10-12. 12-14

No.Of houses 1. 2. 1. 5. 6. 2. 3

Discussion

3.	The side BC of a Δ ABC is bisected at D; O is any point in AD. BO and CO produced meet AC and AB in E and F respectively and AD is produced to X so that O is the mid-point of OX. Prove that AO : AX = AF : AB and show that FE ∥ BC.
Answer» The side BC of a $Δ$ ABC is bisected at D; O is any point in AD. BO and CO produced meet AC and AB in E and F respectively and AD is produced to X so that O is the mid-point of OX. Prove that AO : AX = AF : AB and show that FE $∥$ BC.

Discussion

4.	In the following diagram, write down : (i) the co-ordinates of the points A, B and C. (ii) the equation of the line through A and parallel to BC.
Answer» In the following diagram, write down : (i) the co-ordinates of the points A, B and C. (ii) the equation of the line through A and parallel to BC.

4.

In the following diagram, write down : (i) the co-ordinates of the points A, B and C. (ii) the equation of the line through A and parallel to BC.

Answer»

In the following diagram, write down :

(i) the co-ordinates of the points A, B and C.

(ii) the equation of the line through A and parallel to BC.

Discussion

5.	Find the value of k for which the following system of equations has a unique solution:x+2y=35x+ky+7=0
Answer» Find the value of k for which the following system of equations has a unique solution: $x + 2 y = 3 5 x + k y + 7 = 0$

Discussion

6.	Find the equation of the line passing through the intersection of the lines 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7.
Answer» Find the equation of the line passing through the intersection of the lines 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7.

Discussion

7.	Match the following solid objects with the expressions of their volume.
Answer» Match the following solid objects with the expressions of their volume.

Discussion

8.	Prove: √sec2θ+cosec2θ = tanθ+cotθ
Answer» Prove: $\sqrt{s e c^{2} θ + c o s e c^{2} θ}$ = $t a n θ + c o t θ$

Discussion

9.	If A and B are square matrices of the same order and AB = BA = A, then B is called ________ matrix.
Answer» If A and B are square matrices of the same order and AB = BA = A, then B is called ________ matrix.

Discussion

10.	Two dice are thrown simultaneously. The probability of getting the sum as prime is
Answer» Two dice are thrown simultaneously. The probability of getting the sum as prime is

Discussion

11.	If the numbers (3x+2), (2x+3) and (2x-5) are in AP, then value of x is
Answer» If the numbers (3x+2), (2x+3) and (2x-5) are in AP, then value of x is

Discussion

12.	Collect data on the CBSE result (2018) for class X in your school. Discuss with your teacher how can you present the information in terms of a frequency polygon. Write your observations on the performance of your school students.
Answer» Collect data on the CBSE result (2018) for class X in your school. Discuss with your teacher how can you present the information in terms of a frequency polygon. Write your observations on the performance of your school students.

Discussion

13.	20 A.Ms are inserted between 2 and 86. Find the 19th A.M.
Answer» 20 A.Ms are inserted between 2 and 86. Find the 19th A.M.

Discussion

14.	Expand the following, using suitable identities: (x+2y+4z)2
Answer» Expand the following, using suitable identities: ${(x + 2 y + 4 z)}^{2}$

Discussion

15.	77.A boy standing on horizon plane finds a bird flying at distance of 100m from him at an elevation of 30 degree .A girl standing on roof of 20 m high building, finds the angle of elevation of same bird to be 45 degree . Both boy and girl are on opposite sides of bird . Find distance vetween boy and girl
Answer» 77.A boy standing on horizon plane finds a bird flying at distance of 100m from him at an elevation of 30 degree .A girl standing on roof of 20 m high building, finds the angle of elevation of same bird to be 45 degree . Both boy and girl are on opposite sides of bird . Find distance vetween boy and girl

Discussion

16.	The base of a right triangle is 8 cm and hypotenuse is 10 cm. Then its area is _________.
Answer» The base of a right triangle is 8 cm and hypotenuse is 10 cm. Then its area is _________.

Discussion

17.	Question 15 If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7th and 14th terms is -3, then find the 10th term.
Answer» Question 15 If sum of the $3^{r d}$ and the $8^{t h}$ terms of an AP is 7 and the sum of the $7^{t h}$ and $14^{t h}$ terms is -3, then find the $10^{t h}$ term.

Discussion

18.	Extending the same logic you’ve seen in the video so far, find out the sum of the first 10 natural numbers. (You can use S10=1+2+3+…+10 and proceed)
Answer» Extending the same logic you’ve seen in the video so far, find out the sum of the first 10 natural numbers. (You can use $S_{10} = 1 + 2 + 3 + \dots + 10$ and proceed)

Discussion

19.	Solve each of the following equations by using the method of completing the square:4x2+4bx-a2-b2=0
Answer» Solve each of the following equations by using the method of completing the square: $4 x^{2} + 4 b x - (a^{2} - b^{2}) = 0$

Discussion

20.	Question 5Two circles with centers O and O’ of radii 3 cm and 4 cm , respectively intersect at two points P and Q, such that OP and O’P are tangents to the two circles. Find the length of the common chord PQ.
Answer» Question 5 Two circles with centers O and O’ of radii 3 cm and 4 cm , respectively intersect at two points P and Q, such that OP and O’P are tangents to the two circles. Find the length of the common chord PQ.

Discussion

21.	22. If A and B are two independent events, then (a) P(AB')=P(A)P(B) (b) P(AB')=P(A)P(B') (c) P(AB')=P(A')+P(B) (d)P(AB')=P(A)+P(B')
Answer» 22. If A and B are two independent events, then (a) P(AB')=P(A)P(B) (b) P(AB')=P(A)P(B') (c) P(AB')=P(A')+P(B) (d)P(AB')=P(A)+P(B')

Discussion

22.	Construct a ΔABC in which BC = 4.8 cm, ∠B = 45° and ∠C = 75°. Measure ∠A.
Answer» Construct a ΔABC in which BC = 4.8 cm, ∠B = 45° and ∠C = 75°. Measure ∠A.

Discussion

23.	19. The angle of elevation of a stationary cloud from a point 2500m above a lake is 15^° and the angle of depression of its reflection in the lake is 45^° what is the height of the cloud above the lake level?
Answer» 19. The angle of elevation of a stationary cloud from a point 2500m above a lake is 15^° and the angle of depression of its reflection in the lake is 45^° what is the height of the cloud above the lake level?

Discussion

24.	Find the coordinates of the point on y-axis which is nearest to the point (–2, 5).
Answer» Find the coordinates of the point on y-axis which is nearest to the point (–2, 5).

Discussion

25.	If \overrightarrow a+ \overrightarrow b+\overrightarrow c =0 then \overrightarrow a × \overrightarrow{b } is ? 1) \overrightarrow c × \overrightarrow b 2)\overrightarrow a ×\overrightarrow c 3) 0 4) \overrightarrow b×\overrightarrow c
Answer» If \overrightarrow a+ \overrightarrow b+\overrightarrow c =0 then \overrightarrow a × \overrightarrow{b } is ? 1) \overrightarrow c × \overrightarrow b 2)\overrightarrow a ×\overrightarrow c 3) 0 4) \overrightarrow b×\overrightarrow c

Discussion

26.	ntIn the equationn ntPcorrection = a multiplied by n square / v squaren nta if represents the first vander wall's constant ,then how the value of a increases on increasing the inter particle force of attraction?n
Answer» ntIn the equationn ntPcorrection = a multiplied by n square / v squaren nta if represents the first vander wall's constant ,then how the value of a increases on increasing the inter particle force of attraction?n

Discussion

27.	7. The focal distance of a point on the ellipse (x²/9)+y² = 1 which is at a distance 2 units from the centre is 1. (8+\sqrt{}3)/(2\sqrt{}2) 2. (3+2\sqrt{}3)/(\sqrt{}2) 3. 3+\sqrt{}3 4. (8+3\sqrt{}3)/(4\sqrt{}2)
Answer» 7. The focal distance of a point on the ellipse (x²/9)+y² = 1 which is at a distance 2 units from the centre is 1. (8+\sqrt{}3)/(2\sqrt{}2) 2. (3+2\sqrt{}3)/(\sqrt{}2) 3. 3+\sqrt{}3 4. (8+3\sqrt{}3)/(4\sqrt{}2)

Discussion

28.	Find the probability of getting two heads in a row if you toss a coin three times.
Answer» Find the probability of getting two heads in a row if you toss a coin three times.

Discussion

29.	Help me to the concept of quadratic equation
Answer» Help me to the concept of quadratic equation

Discussion

30.	Determine the vertices of a triangle formed by the lines representing the equations : x + y = 5, x - y = 5 and x = 5
Answer» Determine the vertices of a triangle formed by the lines representing the equations : x + y = 5, x - y = 5 and x = 5

Discussion

31.	In the figure, DE is parallel to BC and ADDB=32. Area of ΔDEF is 81cm2. Area of (\Delta CFB\) is .
Answer» In the figure, DE is parallel to BC and $\frac{A D}{D B} = \frac{3}{2}$ . Area of $Δ D E F$ is $81 c m^{2}$ . Area of (\Delta CFB\) is .

Discussion

32.	Identify the polynomials among the following. (1) x + 1 (2) x2+1+2x (3)x3+1 (4)x+1x
Answer» Identify the polynomials among the following. (1) x + 1 (2) $x^{2} + 1 + 2 x$ (3) $x^{3} + 1$ (4)x+ $\frac{1}{x}$

32.

Identify the polynomials among the following. (1) x + 1 (2) x2+1+2x (3)x3+1 (4)x+1x

Answer»

Identify the polynomials among the following.

(1) x + 1

(2) $x^{2} + 1 + 2 x$

(3) $x^{3} + 1$

(4)x+ $\frac{1}{x}$

Discussion

33.	There are 96 students in a class and are arranged according to weight from lowest to highest. What are the median terms of the weight distribution?
Answer» There are 96 students in a class and are arranged according to weight from lowest to highest. What are the median terms of the weight distribution?

Discussion

34.	Choose the correct answer of the following question:The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is(a) 2 (b) 4 (c) 5 (d) 6 [CBSE 2014]
Answer» Choose the correct answer of the following question: The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is (a) 2 (b) 4 (c) 5 (d) 6 [CBSE 2014]

Discussion

35.	What is the x coordinate of point C? __
Answer» What is the x coordinate of point C? __

35.

What is the x coordinate of point C? __

Answer»

What is the x coordinate of point C?

__

Discussion

36.	In the given figure, ABCD is a parallelogram, O is any point on AC, PQ\|\|AB and LM\|\|AD. Prove that: ar(\|\|gm DLOP)=ar(\|\|gm BMOQ).
Answer» In the given figure, ABCD is a parallelogram, O is any point on AC, PQ\|\|AB and LM\|\|AD. Prove that: ar(\|\|gm DLOP)=ar(\|\|gm BMOQ).

Discussion

37.	Find the sum of the first 15 multiples of 8.
Answer» Find the sum of the first 15 multiples of 8.

Discussion

38.	Complete the following.
Answer» Complete the following.

Discussion

39.	Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle.
Answer» Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle.

Discussion

40.	In the given right-angled triangle the angle with ∠B=30∘, the ratio of the sides AB : AC: BC will be equal to
Answer» In the given right-angled triangle the angle with $∠ B = 30^{\circ}$ , the ratio of the sides AB : AC: BC will be equal to

40.

In the given right-angled triangle the angle with ∠B=30∘, the ratio of the sides AB : AC: BC will be equal to

Answer»

In the given right-angled triangle the angle with $∠ B = 30^{\circ}$ , the ratio of the sides AB : AC: BC will be equal to

Discussion

41.	The number of three digits numbers having different digits which are divisible by 5, are
Answer» The number of three digits numbers having different digits which are divisible by 5, are

Discussion

42.	An unbalanced cross bar is supported at (8, 0), with 3kg at (1, 0) and 5 kg at (11, 0). How much weight (in kgs) must be added to the 5 kg block to balance the crossbar? _
Answer» An unbalanced cross bar is supported at (8, 0), with 3kg at (1, 0) and 5 kg at (11, 0). How much weight (in kgs) must be added to the 5 kg block to balance the crossbar? _

Discussion

43.	Using the distance formula, prove that the points A (-2, 3), B(1, 2) and C(7,0) are collinear.
Answer» Using the distance formula, prove that the points A (-2, 3), B(1, 2) and C(7,0) are collinear.

Discussion

44.	Find the number of metallic circular discs with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.
Answer» Find the number of metallic circular discs with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

Discussion

45.	In an A.P., the first term is 2, the last term is 29 and the sum of the terms is 155. Find the common difference of the A.P.
Answer» In an A.P., the first term is 2, the last term is 29 and the sum of the terms is 155. Find the common difference of the A.P.

Discussion

46.	Find the value of 2x+5 if x=2
Answer» Find the value of 2x+5 if x=2

Discussion

47.	In the given figure, find ∠F.
Answer» In the given figure, find $∠ F .$

Discussion

48.	I was learning chapter 1 in maths "Rational and Irrational Number" I want to ask what is distributive property and associative property Abhyodaya Dubey
Answer» I was learning chapter 1 in maths "Rational and Irrational Number" I want to ask what is distributive property and associative property Abhyodaya Dubey

48.

I was learning chapter 1 in maths "Rational and Irrational Number" I want to ask what is distributive property and associative property Abhyodaya Dubey

Answer»

I was learning chapter 1 in maths "Rational and Irrational Number"

I want to ask what is distributive property and associative property

Abhyodaya Dubey

Discussion

49.	The area of the incircle of an equilateral triangle of side 42 cm is(a) 223 cm2(b) 231 cm2(c) 462 cm2(d) 924 cm2
Answer» The area of the incircle of an equilateral triangle of side 42 cm is (a) $22 \sqrt{3} c m^{2}$ (b) 231 cm² (c) 462 cm² (d) 924 cm²

Discussion

50.	Simplify the expression: 52wxyz(xy+yz+xz+y2)(z+x)104xy(xyz+xz2+yz2+y2z)
Answer» $Simplify the expression: \frac{52 w x y z (x y + y z + x z + y^{2}) (z + x)}{104 x y (x y z + x z^{2} + y z^{2} + y^{2} z)}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the value of AD in the given figure.

Find mean median and mode No.of plants. 0-2. 2-4. 4-6. 6-8. 8-10. 10-12. 12-14 No.Of houses 1. 2. 1. 5. 6. 2. 3

The side BC of a Δ ABC is bisected at D; O is any point in AD. BO and CO produced meet AC and AB in E and F respectively and AD is produced to X so that O is the mid-point of OX. Prove that AO : AX = AF : AB and show that FE ∥ BC.

In the following diagram, write down : (i) the co-ordinates of the points A, B and C. (ii) the equation of the line through A and parallel to BC.

Find the value of k for which the following system of equations has a unique solution:x+2y=35x+ky+7=0

Find the equation of the line passing through the intersection of the lines 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7.

Match the following solid objects with the expressions of their volume.

Prove: √sec2θ+cosec2θ = tanθ+cotθ

If A and B are square matrices of the same order and AB = BA = A, then B is called ________ matrix.

Two dice are thrown simultaneously. The probability of getting the sum as prime is

If the numbers (3x+2), (2x+3) and (2x-5) are in AP, then value of x is

Collect data on the CBSE result (2018) for class X in your school. Discuss with your teacher how can you present the information in terms of a frequency polygon. Write your observations on the performance of your school students.

20 A.Ms are inserted between 2 and 86. Find the 19th A.M.

Expand the following, using suitable identities: (x+2y+4z)2

The base of a right triangle is 8 cm and hypotenuse is 10 cm. Then its area is _________.

Question 15 If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7th and 14th terms is -3, then find the 10th term.

Extending the same logic you’ve seen in the video so far, find out the sum of the first 10 natural numbers. (You can use S10=1+2+3+…+10 and proceed)

Solve each of the following equations by using the method of completing the square:4x2+4bx-a2-b2=0

Question 5Two circles with centers O and O’ of radii 3 cm and 4 cm , respectively intersect at two points P and Q, such that OP and O’P are tangents to the two circles. Find the length of the common chord PQ.

22. If A and B are two independent events, then (a) P(AB')=P(A)P(B) (b) P(AB')=P(A)P(B') (c) P(AB')=P(A')+P(B) (d)P(AB')=P(A)+P(B')

Construct a ΔABC in which BC = 4.8 cm, ∠B = 45° and ∠C = 75°. Measure ∠A.

19. The angle of elevation of a stationary cloud from a point 2500m above a lake is 15^° and the angle of depression of its reflection in the lake is 45^° what is the height of the cloud above the lake level?

Find the coordinates of the point on y-axis which is nearest to the point (–2, 5).

If \overrightarrow a+ \overrightarrow b+\overrightarrow c =0 then \overrightarrow a × \overrightarrow{b } is ? 1) \overrightarrow c × \overrightarrow b 2)\overrightarrow a ×\overrightarrow c 3) 0 4) \overrightarrow b×\overrightarrow c

ntIn the equationn ntPcorrection = a multiplied by n square / v squaren nta if represents the first vander wall's constant ,then how the value of a increases on increasing the inter particle force of attraction?n

7. The focal distance of a point on the ellipse (x²/9)+y² = 1 which is at a distance 2 units from the centre is 1. (8+\sqrt{}3)/(2\sqrt{}2) 2. (3+2\sqrt{}3)/(\sqrt{}2) 3. 3+\sqrt{}3 4. (8+3\sqrt{}3)/(4\sqrt{}2)

Find the probability of getting two heads in a row if you toss a coin three times.

Help me to the concept of quadratic equation ​​​​​​

Determine the vertices of a triangle formed by the lines representing the equations : x + y = 5, x - y = 5 and x = 5

In the figure, DE is parallel to BC and ADDB=32. Area of ΔDEF is 81cm2. Area of (\Delta CFB\) is .

Identify the polynomials among the following. (1) x + 1 (2) x2+1+2x (3)x3+1 (4)x+1x

There are 96 students in a class and are arranged according to weight from lowest to highest. What are the median terms of the weight distribution?

Choose the correct answer of the following question:The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is(a) 2 (b) 4 (c) 5 (d) 6 [CBSE 2014]

What is the x coordinate of point C? __

In the given figure, ABCD is a parallelogram, O is any point on AC, PQ||AB and LM||AD. Prove that: ar(||gm DLOP)=ar(||gm BMOQ).

Find the sum of the first 15 multiples of 8.

Complete the following.

Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle.

In the given right-angled triangle the angle with ∠B=30∘, the ratio of the sides AB : AC: BC will be equal to

The number of three digits numbers having different digits which are divisible by 5, are

An unbalanced cross bar is supported at (8, 0), with 3kg at (1, 0) and 5 kg at (11, 0). How much weight (in kgs) must be added to the 5 kg block to balance the crossbar? _

Using the distance formula, prove that the points A (-2, 3), B(1, 2) and C(7,0) are collinear.

Find the number of metallic circular discs with 1.5 cm base diameter and of height 0.2 cm to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

In an A.P., the first term is 2, the last term is 29 and the sum of the terms is 155. Find the common difference of the A.P.

Find the value of 2x+5 if x=2

In the given figure, find ∠F.

I was learning chapter 1 in maths "Rational and Irrational Number" I want to ask what is distributive property and associative property Abhyodaya Dubey

The area of the incircle of an equilateral triangle of side 42 cm is(a) 223 cm2(b) 231 cm2(c) 462 cm2(d) 924 cm2

Simplify the expression: 52wxyz(xy+yz+xz+y2)(z+x)104xy(xyz+xz2+yz2+y2z)

Help me to the concept of quadratic equation