24740 + Interview Questions in Mathematics

1.	Derivation of parabola
Answer» Derivation of parabola

Discussion

2.	Question 14 In a right triangle, prove that the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse.
Answer» Question 14 In a right triangle, prove that the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse.

Discussion

3.	D is the midpoint f side BC of △ABC and E is the midpoint of BD. IF O is the midpoint of AE, prove that ar (△BOE)=18ar(△ABC)
Answer» D is the midpoint f side BC of $△ A B C$ and E is the midpoint of BD. IF O is the midpoint of AE, prove that ar $(△ B O E) = \frac{1}{8} a r (△ A B C)$

Discussion

4.	Find the median of the following data: 83,37,70,29,45,63,41,70,34,54
Answer» Find the median of the following data: 83,37,70,29,45,63,41,70,34,54

Discussion

5.	Statement: A friend in need is a friend indeed. Conclusions: I. All are friends in good times. II. Enemies in bad times are not friends.
Answer» Statement: A friend in need is a friend indeed. Conclusions: I. All are friends in good times. II. Enemies in bad times are not friends.

5.

Statement: A friend in need is a friend indeed. Conclusions: I. All are friends in good times. II. Enemies in bad times are not friends.

Answer»

Statement: A friend in need is a friend indeed.

Conclusions:

I. All are friends in good times.

II. Enemies in bad times are not friends.

Discussion

6.	ABCD is a trapezium with AB//DC. A line parallel to AC intersects AB at point M and BC at point N. Prove that: Area of triangle ADM = Area of triangle ACN.
Answer» ABCD is a trapezium with AB//DC. A line parallel to AC intersects AB at point M and BC at point N. Prove that: Area of triangle ADM = Area of triangle ACN.

Discussion

7.	In the given figure, M, N, and P are the mid-points of AB, AC, and BC, respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm, find the length of BC, AB, and AC.
Answer» In the given figure, M, N, and P are the mid-points of AB, AC, and BC, respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm, find the length of BC, AB, and AC.

Discussion

8.	Question 72x3=18
Answer» Question 7 $\frac{2 x}{3} = 18$

Discussion

9.	(2x+7y)^2
Answer» (2x+7y)^2

Discussion

10.	Find five rational numbers between:23 and 45
Answer» Find five rational numbers between: $\frac{2}{3} a n d \frac{4}{5}$

Discussion

11.	Respected BYJUS faculty My name is VANDITA YADAV and I am student of BYJUS 9th grade I. C. S. E. I AM NOT ABLE TO GET THE ANSWER OF THIS QUESTION FROM LOG: log(x-1)+log(x-1)=log 1 to the base 2. Thank you.
Answer» Respected BYJUS faculty My name is VANDITA YADAV and I am student of BYJUS 9th grade I. C. S. E. I AM NOT ABLE TO GET THE ANSWER OF THIS QUESTION FROM LOG: log(x-1)+log(x-1)=log 1 to the base 2. Thank you.

Discussion

12.	4. When a polynomial p(x) is divided by ( x - 1 ) , the remainder is 5 and when it is divided by ( x - 2 ), the remainder is 7 . Find the remainder when p(x) is divided by (x - 1) (x - 2).
Answer» 4. When a polynomial p(x) is divided by ( x - 1 ) , the remainder is 5 and when it is divided by ( x - 2 ), the remainder is 7 . Find the remainder when p(x) is divided by (x - 1) (x - 2).

Discussion

13.	24. Show that a median of a triangle divided it into 2 triangle of equal area
Answer» 24. Show that a median of a triangle divided it into 2 triangle of equal area

Discussion

14.	The edges of a surface is called ___ .
Answer» The edges of a surface is called ___ .

Discussion

15.	Using Thales Theorem,prove that the quadrilateral formed by joining the midpoints of sides of any sides of a quadrilateral is a parallelogram
Answer» Using Thales Theorem,prove that the quadrilateral formed by joining the midpoints of sides of any sides of a quadrilateral is a parallelogram

Discussion

16.	In a field, dry fodder for the cattle is heaped in a conical shape. The height of the cone is 2.1m. and diameter of base is 7.2 m. Find the volume of the fodder. if it is to be covered by polythin in rainy season then how much minimum polythin sheet is needed ?(π=227 and 17.37 = 4.17).
Answer» In a field, dry fodder for the cattle is heaped in a conical shape. The height of the cone is 2.1m. and diameter of base is 7.2 m. Find the volume of the fodder. if it is to be covered by polythin in rainy season then how much minimum polythin sheet is needed ? ( $π = \frac{22}{7}$ and $\sqrt{17.37} = 4.17$ ).

Discussion

17.	Mark the correct alternative in each of the following:The factors of a2 − 1 − 2x − x2 are(a) (a − x + 1) (a − x − 1)(b) (a + x − 1) (a − x + 1)(c) (a + x +1) (a − x + 1)(d) none of these
Answer» Mark the correct alternative in each of the following: The factors of a² − 1 − 2x − x² are (a) (a − x + 1) (a − x − 1) (b) (a + x − 1) (a − x + 1) (c) (a + x +1) (a − x + 1) (d) none of these

Discussion

18.	The temperature of Srinagar (J & K) is -4°C and of Paderu (AP) is 3° C. Which of them has a higher temperature? What is the difference between the temperatures of these two places?
Answer» The temperature of Srinagar (J & K) is -4°C and of Paderu (AP) is 3° C. Which of them has a higher temperature? What is the difference between the temperatures of these two places?

Discussion

19.	Factorise: x(x−2)(x−4)+4x−8
Answer» Factorise: $x (x - 2) (x - 4) + 4 x - 8$

19.

Factorise: x(x−2)(x−4)+4x−8

Answer»

Factorise:

$x (x - 2) (x - 4) + 4 x - 8$

Discussion

20.	In the given construction of a ΔABC, ∠CAB will be
Answer» In the given construction of a $Δ A B C$ , $∠ C A B$ will be

Discussion

21.

Candidates of four schools appear in a mathematics test. The data were as follows: Schools No. of Candidates Average Score I II III IV 60 48 Not available 40 75 80 55 50 If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

Answer» Candidates of four schools appear in a mathematics test. The data were as follows:

Schools	No. of Candidates	Average Score
I II III IV	60 48 Not available 40	75 80 55 50

If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.

Discussion

22.	--------------------- is the equation of x-axis.
Answer» --------------------- is the equation of x-axis.

Discussion

23.	Light of intensity I falls along the axis on a perfectly reflecting right circular cone having semi -vertical angle thetha and base radius R.if E is the energy of one photon and c is the speed of light,then find The number of photos hitting the cone per second. Net force on the cone
Answer» Light of intensity I falls along the axis on a perfectly reflecting right circular cone having semi -vertical angle thetha and base radius R.if E is the energy of one photon and c is the speed of light,then find The number of photos hitting the cone per second. Net force on the cone

Discussion

24.	Question 9 (i) Solve the following pair of equations x+y=3.3, 0.63x−2y=−1 where 3x−2y≠0.
Answer» Question 9 (i) Solve the following pair of equations $x + y = 3.3, \frac{0.6}{3 x - 2 y} = - 1 where 3 x - 2 y \neq 0$ .

Discussion

25.	Find the edge of a cube of volume equal to the volume of a cuboid of dimensions 24 cm × 12 cm × 6 cm
Answer» Find the edge of a cube of volume equal to the volume of a cuboid of dimensions 24 cm × 12 cm × 6 cm

Discussion

26.	If the length of each edge of a regular tetrahedron is 'a', then its surface area is(a) √3a2 sq. units(b) √32a2 sq. units(c) √23a2 sq. units(d) √6a2 sq. units
Answer» If the length of each edge of a regular tetrahedron is 'a', then its surface area is (a) $\sqrt{3} a^{2}$ sq. units (b) $\frac{\sqrt{3}}{2} a^{2}$ sq. units (c) $\sqrt{\frac{2}{3}} a^{2}$ sq. units (d) $\sqrt{6} a^{2}$ sq. units

Discussion

27.	Which of these triangles can be constructed?
Answer» Which of these triangles can be constructed?

Discussion

28.	What is the exponent of the base 7 after simplifying the following expression?(25×73×34)×(56×27×711)× (74×36)
Answer» What is the exponent of the base $7$ after simplifying the following expression? $(2^{5} \times 7^{3} \times 3^{4}) \times (5^{6} \times 2^{7} \times 7^{11}) \times$ $(7^{4} \times 3^{6})$

Discussion

29.	In ΔABC, D, E and F are midpoints of BC, AC and AB. If area of parallelogram BDEF is 20 cm2, then the area of ΔABC is equal to:
Answer» In ΔABC, D, E and F are midpoints of BC, AC and AB. If area of parallelogram BDEF is $20 c m^{2}$ , then the area of ΔABC is equal to:

Discussion

30.	Choose the correct answer in each of the following: If ΔABC≅ ΔPQR then which of the following is not true?(a) BC = PQ (b) AC = PR (c) BC = QR (d) AB = PQ
Answer» Choose the correct answer in each of the following: $I f Δ A B C ≅ Δ P Q R then which of the following is not true? (a) BC = PQ (b) AC = PR (c) BC = QR (d) AB = PQ$

30.

Choose the correct answer in each of the following: If ΔABC≅ ΔPQR then which of the following is not true?(a) BC = PQ (b) AC = PR (c) BC = QR (d) AB = PQ

Answer»

Choose the correct answer in each of the following:

$I f Δ A B C ≅ Δ P Q R then which of the following is not true? (a) BC = PQ (b) AC = PR (c) BC = QR (d) AB = PQ$

Discussion

31.	Mark the correct alternative in the following question:The area of the shaded path in the following figure is(a) 16 m2 (b) 18 m2 (c) 14 m2 (d) 20 m2
Answer» Mark the correct alternative in the following question: The area of the shaded path in the following figure is (a) 16 m² (b) 18 m² (c) 14 m² (d) 20 m²

Discussion

32.	Without using the Pythagoras theorem, show that the points (4,4),(3,5) and (−1,−1) are the vertices of a right-angled triangle.
Answer» Without using the Pythagoras theorem, show that the points $(4, 4), (3, 5) and (- 1, - 1)$ are the vertices of a right-angled triangle.

Discussion

33.	Let ABC is a triangle such that AB=5cm ;bc =6 cm and CA=7 cm.a circle BC at point D and AB and AC produced at points E and F respectively the length of BD is
Answer» Let ABC is a triangle such that AB=5cm ;bc =6 cm and CA=7 cm.a circle BC at point D and AB and AC produced at points E and F respectively the length of BD is

Discussion

34.	The coordinates of a point P ( x,y) where x Lesser than 0 and Y greater than 0. Find the quadrant in which the point Q (-x, y) lies?
Answer» The coordinates of a point P ( x,y) where x Lesser than 0 and Y greater than 0. Find the quadrant in which the point Q (-x, y) lies?

Discussion

35.	The bisectors of ∠B and ∠C of an isosceles triangle with AB = AC intersect each other at a point O. BO is produced to meet AC at a point M. Prove that ∠MOC = ∠ABC.
Answer» The bisectors of ∠B and ∠C of an isosceles triangle with AB = AC intersect each other at a point O. BO is produced to meet AC at a point M. Prove that ∠MOC = ∠ABC.

Discussion

36.	AB and CD bisect each other at K . Poove that AC=BC
Answer» AB and CD bisect each other at K . Poove that AC=BC

Discussion

37.	draw the graph for x +3y =6 2x-3y=12 hence find the area of the region bounded by x=0 , y=0, 2x-3y=1
Answer» draw the graph for x +3y =6 2x-3y=12 hence find the area of the region bounded by x=0 , y=0, 2x-3y=1

Discussion

38.	What is the sum of either pair of opposite angles of a cyclic quadrilateral?
Answer» What is the sum of either pair of opposite angles of a cyclic quadrilateral?

Discussion

39.	In the given figure, AB is the side of a regular octagon and BC is the side of a regular hexagon. Find ∠AOC.
Answer» In the given figure, AB is the side of a regular octagon and BC is the side of a regular hexagon. Find $∠$ AOC.

39.

In the given figure, AB is the side of a regular octagon and BC is the side of a regular hexagon. Find ∠AOC.

Answer»

In the given figure, AB is the side of a regular octagon and BC is the side of a regular hexagon. Find $∠$ AOC.

Discussion

40.	Select the correct order for solving a pair of linear equations in two variables by elimination method.i) Add or subtract one equation from the other so that one variable gets eliminated.ii) Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.iii) Substitute the obtained value in either of the original equations to get the value of the other variable.iv) Solve the equation in one variable thus obtained to get its value.
Answer» Select the correct order for solving a pair of linear equations in two variables by elimination method. i) Add or subtract one equation from the other so that one variable gets eliminated. ii) Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal. iii) Substitute the obtained value in either of the original equations to get the value of the other variable. iv) Solve the equation in one variable thus obtained to get its value.

40.

Select the correct order for solving a pair of linear equations in two variables by elimination method.i) Add or subtract one equation from the other so that one variable gets eliminated.ii) Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.iii) Substitute the obtained value in either of the original equations to get the value of the other variable.iv) Solve the equation in one variable thus obtained to get its value.

Answer»

Select the correct order for solving a pair of linear equations in two variables by elimination method.

i) Add or subtract one equation from the other so that one variable gets eliminated.

ii) Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.

iii) Substitute the obtained value in either of the original equations to get the value of the other variable.

iv) Solve the equation in one variable thus obtained to get its value.

Discussion

41.	In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x,y,z and t.
Answer» In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x,y,z and t.

41.

In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x,y,z and t.

Answer»

In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x,y,z and t.

Discussion

42.	A−(B∩C)=
Answer» $A - (B \cap C)$ =

Discussion

43.	Draw 32 on an number line
Answer» Draw 32 on an number line

Discussion

44.	Express 100 K in
Answer» Express 100 K in

Discussion

45.	The sides of a triangle are 11 m, 60 m and 61 m. The altitude to the smallest side is(a) 11 m(b) 66 m(c) 50 m(d) 60 m
Answer» The sides of a triangle are 11 m, 60 m and 61 m. The altitude to the smallest side is (a) 11 m (b) 66 m (c) 50 m (d) 60 m

Discussion

46.	In a parallelogram ABCD, determine the sum of angles ∠C and ∠D
Answer» In a parallelogram ABCD, determine the sum of angles $∠ C a n d ∠ D$

Discussion

47.	The angle between two parallel lines is ___.
Answer» The angle between two parallel lines is ___.

Discussion

48.	If A=15∘, find the value of 4cos2A⋅sin4A⋅tan3A−1.
Answer» If $A = 15^{\circ}$ , find the value of $4 cos 2 A \cdot sin 4 A \cdot tan 3 A - 1$ .

Discussion

49.	Assertion: The coordinates of the origin are (0,0). Reason: Origin has zero distance from both the x-axis and y-axis. Which of the following is correct?
Answer» Assertion: The coordinates of the origin are (0,0). Reason: Origin has zero distance from both the x-axis and y-axis. Which of the following is correct?

Discussion

50.	If AD is a median of ∆ABC, then the perimeter of ∆ABC cannot be less than or equal to ___________.
Answer» If AD is a median of ∆ABC, then the perimeter of ∆ABC cannot be less than or equal to ___________.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Derivation of parabola

Question 14 In a right triangle, prove that the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse.

D is the midpoint f side BC of △ABC and E is the midpoint of BD. IF O is the midpoint of AE, prove that ar (△BOE)=18ar(△ABC)

Find the median of the following data: 83,37,70,29,45,63,41,70,34,54

Statement: A friend in need is a friend indeed. Conclusions: I. All are friends in good times. II. Enemies in bad times are not friends.

ABCD is a trapezium with AB//DC. A line parallel to AC intersects AB at point M and BC at point N. Prove that: Area of triangle ADM = Area of triangle ACN.

In the given figure, M, N, and P are the mid-points of AB, AC, and BC, respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm, find the length of BC, AB, and AC.

Question 72x3=18

(2x+7y)^2

Find five rational numbers between:23 and 45

Respected BYJUS faculty My name is VANDITA YADAV and I am student of BYJUS 9th grade I. C. S. E. I AM NOT ABLE TO GET THE ANSWER OF THIS QUESTION FROM LOG: log(x-1)+log(x-1)=log 1 to the base 2. Thank you.

4. When a polynomial p(x) is divided by ( x - 1 ) , the remainder is 5 and when it is divided by ( x - 2 ), the remainder is 7 . Find the remainder when p(x) is divided by (x - 1) (x - 2).

24. Show that a median of a triangle divided it into 2 triangle of equal area

The edges of a surface is called ___ .

Using Thales Theorem,prove that the quadrilateral formed by joining the midpoints of sides of any sides of a quadrilateral is a parallelogram

In a field, dry fodder for the cattle is heaped in a conical shape. The height of the cone is 2.1m. and diameter of base is 7.2 m. Find the volume of the fodder. if it is to be covered by polythin in rainy season then how much minimum polythin sheet is needed ?(π=227 and 17.37 = 4.17).

Mark the correct alternative in each of the following:The factors of a2 − 1 − 2x − x2 are(a) (a − x + 1) (a − x − 1)(b) (a + x − 1) (a − x + 1)(c) (a + x +1) (a − x + 1)(d) none of these

The temperature of Srinagar (J & K) is -4°C and of Paderu (AP) is 3° C. Which of them has a higher temperature? What is the difference between the temperatures of these two places?

Factorise: x(x−2)(x−4)+4x−8

In the given construction of a ΔABC, ∠CAB will be

--------------------- is the equation of x-axis.

Light of intensity I falls along the axis on a perfectly reflecting right circular cone having semi -vertical angle thetha and base radius R.if E is the energy of one photon and c is the speed of light,then find The number of photos hitting the cone per second. Net force on the cone

Question 9 (i) Solve the following pair of equations x+y=3.3, 0.63x−2y=−1 where 3x−2y≠0.

Find the edge of a cube of volume equal to the volume of a cuboid of dimensions 24 cm × 12 cm × 6 cm

If the length of each edge of a regular tetrahedron is 'a', then its surface area is(a) √3a2 sq. units(b) √32a2 sq. units(c) √23a2 sq. units(d) √6a2 sq. units

Which of these triangles can be constructed?

What is the exponent of the base 7 after simplifying the following expression?(25×73×34)×(56×27×711)× (74×36)

In ΔABC, D, E and F are midpoints of BC, AC and AB. If area of parallelogram BDEF is 20 cm2, then the area of ΔABC is equal to:

Choose the correct answer in each of the following: If ΔABC≅ ΔPQR then which of the following is not true?(a) BC = PQ (b) AC = PR (c) BC = QR (d) AB = PQ

Mark the correct alternative in the following question:The area of the shaded path in the following figure is(a) 16 m2 (b) 18 m2 (c) 14 m2 (d) 20 m2

Without using the Pythagoras theorem, show that the points (4,4),(3,5) and (−1,−1) are the vertices of a right-angled triangle.

Let ABC is a triangle such that AB=5cm ;bc =6 cm and CA=7 cm.a circle BC at point D and AB and AC produced at points E and F respectively the length of BD is

The coordinates of a point P ( x,y) where x Lesser than 0 and Y greater than 0. Find the quadrant in which the point Q (-x, y) lies?

The bisectors of ∠B and ∠C of an isosceles triangle with AB = AC intersect each other at a point O. BO is produced to meet AC at a point M. Prove that ∠MOC = ∠ABC.

AB and CD bisect each other at K . Poove that AC=BC

draw the graph for x +3y =6 2x-3y=12 hence find the area of the region bounded by x=0 , y=0, 2x-3y=1

What is the sum of either pair of opposite angles of a cyclic quadrilateral?

In the given figure, AB is the side of a regular octagon and BC is the side of a regular hexagon. Find ∠AOC.

In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x,y,z and t.

A−(B∩C)=

Draw 32 on an number line

Express 100 K in

The sides of a triangle are 11 m, 60 m and 61 m. The altitude to the smallest side is(a) 11 m(b) 66 m(c) 50 m(d) 60 m

In a parallelogram ABCD, determine the sum of angles ∠C and ∠D

The angle between two parallel lines is ___.

If A=15∘, find the value of 4cos2A⋅sin4A⋅tan3A−1.

Assertion: The coordinates of the origin are (0,0). Reason: Origin has zero distance from both the x-axis and y-axis. Which of the following is correct?

If AD is a median of ∆ABC, then the perimeter of ∆ABC cannot be less than or equal to ___________.