24740 + Interview Questions in Mathematics

1.	The value of [4−1+3−1+6−2]−1 is ___.
Answer» The value of $[4^{- 1} + 3^{- 1} + 6^{- 2}]^{- 1}$ is ___.

Discussion

2.	An irrational number is marked on the number line (D) as shown in the figure below. Then the value of D is ________.
Answer» An irrational number is marked on the number line (D) as shown in the figure below. Then the value of D is ________.

2.

An irrational number is marked on the number line (D) as shown in the figure below. Then the value of D is ________.

Answer»

An irrational number is marked on the number line (D) as shown in the figure below. Then the value of D is ________.

Discussion

3.	The ___ co-ordinate is the perpendicular distance of the point from the x-axis.
Answer» The ___ co-ordinate is the perpendicular distance of the point from the x-axis.

Discussion

4.	Question 09. A student says that, if you throw a die, it will show up 1 or not 1. Therefore, the probability of getting 1 and the probability of getting not 1 each is equal to 12. Is this correct ? Give reasons.
Answer» Question 09. A student says that, if you throw a die, it will show up 1 or not 1. Therefore, the probability of getting 1 and the probability of getting not 1 each is equal to $\frac{1}{2}$ . Is this correct ? Give reasons.

Discussion

5.	Consider the figure: If ∠A=50∘, ∠B=70∘, and x=2y, then find the value of x+2y.
Answer» Consider the figure: If $∠ A = 50^{\circ}$ , $∠ B = 70^{\circ}$ , and $x = 2 y,$ then find the value of $x + 2 y .$

5.

Consider the figure: If ∠A=50∘, ∠B=70∘, and x=2y, then find the value of x+2y.

Answer»

Consider the figure:

If $∠ A = 50^{\circ}$ , $∠ B = 70^{\circ}$ , and $x = 2 y,$ then find the value of $x + 2 y .$

Discussion

6.	Find the value of 13−√8−1√8−√7+1√7−√6−1√6−√5+1√5−2 .
Answer» Find the value of $\frac{1}{3 - \sqrt{8}} - \frac{1}{\sqrt{8} - \sqrt{7}} + \frac{1}{\sqrt{7} - \sqrt{6}} - \frac{1}{\sqrt{6} - \sqrt{5}} + \frac{1}{\sqrt{5} - 2}$ .

Discussion

7.	Question 2 (iii) A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is at least 6?
Answer» Question 2 (iii) A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is at least 6?

Discussion

8.	Question 2 (ii) A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is 6?
Answer» Question 2 (ii) A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is 6?

Discussion

9.	Plot the following points on a graph paper: [4 MARKS] (a) (3, 4) (b) (-2, 3) (c) (-1,-2) (d) (5,-1)
Answer» Plot the following points on a graph paper: [4 MARKS] (a) (3, 4) (b) (-2, 3) (c) (-1,-2) (d) (5,-1)

Discussion

10.	In a ΔABC, the line joining the mid points D and E of sides AB and AC respectively, is produced to meet at point F such that DE = EF. What can you say about the figure DFCB?
Answer» In a ΔABC, the line joining the mid points D and E of sides AB and AC respectively, is produced to meet at point F such that DE = EF. What can you say about the figure DFCB?

Discussion

11.	In the diagram, select the major arc and the minor arc of the circle, with respect to the chord AB.
Answer» In the diagram, select the major arc and the minor arc of the circle, with respect to the chord AB.

11.

In the diagram, select the major arc and the minor arc of the circle, with respect to the chord AB.

Answer»

In the diagram, select the major arc and the minor arc of the circle, with respect to the chord AB.

Discussion

12.	ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent
Answer» ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent

12.

ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent

Answer»

ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent

Discussion

13.	Question 5 (ii) In the given figure, PQRS and ABRS are parallelograms and X is any point on side BR. Show that: ar(ΔAXS)=12ar(PQRS)
Answer» Question 5 (ii) In the given figure, PQRS and ABRS are parallelograms and X is any point on side BR. Show that: $a r (Δ A X S) = \frac{1}{2} a r (P Q R S)$

Discussion

14.	Express log105√108 in terms of log102 and log103
Answer» Express $l o g_{10} \sqrt[5]{108}$ in terms of $l o g_{10} 2$ and $l o g_{10} 3$

Discussion

15.	Following bar chart represents the number of children in a family:
Answer» Following bar chart represents the number of children in a family:

15.

Following bar chart represents the number of children in a family:

Answer»

Following bar chart represents the number of children in a family:

Discussion

16.	Factorise:(3x- 5y)3 + (5y - 2z)3 + (2z - 3x)3
Answer» Factorise:(3x- 5y)³+ (5y - 2z)³+ (2z - 3x)³

Discussion

17.	Question 47 In the following question, state whether the given statement is true (T) or false (F). The number LIV is greater than LVI.
Answer» Question 47 In the following question, state whether the given statement is true (T) or false (F). The number LIV is greater than LVI.

Discussion

18.	D is the mid point of side BC of triangle ABC. So,
Answer» D is the mid point of side BC of triangle ABC. So,

Discussion

19.	Find the solution to the following system of linear equations: 2x-y+6=0 4x+5y-16=0
Answer» Find the solution to the following system of linear equations: 2x-y+6=0 4x+5y-16=0

19.

Find the solution to the following system of linear equations: 2x-y+6=0 4x+5y-16=0

Answer»

Find the solution to the following system of linear equations:

2x-y+6=0

4x+5y-16=0

Discussion

20.	A parallelogram whose all sides are equal is called a _____.
Answer» A parallelogram whose all sides are equal is called a _____.

Discussion

21.	In triangle ABC, right angled at B, if ∠A is 45∘, find the value of cot A and tan C, without using tables.
Answer» In triangle ABC, right angled at B, if $∠ A$ is $45^{\circ}$ , find the value of cot A and tan C, without using tables.

Discussion

22.	At what point does the line x + y = 5 meet a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis?
Answer» At what point does the line x + y = 5 meet a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis?

Discussion

23.	Question 8 The area of the square that can be inscribed in a circle of radius 8 cm is (A) 256 cm2 (B) 128 cm2 (C) 64√2 cm2 (D) 64 cm2
Answer» Question 8 The area of the square that can be inscribed in a circle of radius 8 cm is (A) $256 c m^{2}$ (B) $128 c m^{2}$ (C) $64 \sqrt{2} c m^{2}$ (D) $64 c m^{2}$

Discussion

24.	Which of following is a solution of the equation, 2x+3y=11?
Answer» Which of following is a solution of the equation, $2 x + 3 y = 11 ?$

Discussion

25.	The base of a prism is a rectangle of sides 24 cm and 7 cm respectively and its height is 30 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the total surface area of each of the triangular prisms?
Answer» The base of a prism is a rectangle of sides 24 cm and 7 cm respectively and its height is 30 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the total surface area of each of the triangular prisms?

Discussion

26.	Which one of the following statements are true?
Answer» Which one of the following statements are true?

Discussion

27.	The volumes of the two cubes are in the ratio 64:27. Find the ratio of their surface areas.
Answer» The volumes of the two cubes are in the ratio 64:27. Find the ratio of their surface areas.

Discussion

28.	Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5 The distance between them is
Answer» Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5 The distance between them is

28.

Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5 The distance between them is

Answer»

Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5

The distance between them is

Discussion

29.	Find the sum of (11x2−8x+4) and (6x2+7x−10).
Answer» $Find the sum of$ $(11 x^{2} - 8 x + 4) and (6 x^{2} + 7 x - 10) .$

Discussion

30.	Identify the major sector and minor segment in the given figure:
Answer» Identify the major sector and minor segment in the given figure:

Discussion

31.	Match the figures with their areas.
Answer» Match the figures with their areas.

Discussion

32.	Two chords AB and AC of a circle subtends angles equal to 80∘ and 140∘ respectively at the centre. Find ∠BAC.
Answer» Two chords $A B$ and $A C$ of a circle subtends angles equal to $80^{\circ}$ and $140^{\circ}$ respectively at the centre. Find $∠ B A C$ .

Discussion

33.	A, B, C, and D form the coordinates of a trapezium. What would be the perimeter of the trapezium?
Answer» A, B, C, and D form the coordinates of a trapezium. What would be the perimeter of the trapezium?

33.

A, B, C, and D form the coordinates of a trapezium. What would be the perimeter of the trapezium?

Answer»

A, B, C, and D form the coordinates of a trapezium. What would be the perimeter of the trapezium?

Discussion

34.	Make a frequency polygon from the given data. Weight(kg)Number Of Students35.5−40.5540.5−45.5245.5−50.51250.5−55.5255.5−60.545 [4 MARKS]
Answer» Make a frequency polygon from the given data. $\begin{matrix} W e i g h t (k g) & N u m b e r O f S t u d e n t s 35.5 - 40.5 & 5 40.5 - 45.5 & 2 45.5 - 50.5 & 12 50.5 - 55.5 & 2 55.5 - 60.5 & 45 \end{matrix}$ [4 MARKS]

34.

Make a frequency polygon from the given data. Weight(kg)Number Of Students35.5−40.5540.5−45.5245.5−50.51250.5−55.5255.5−60.545 [4 MARKS]

Answer»

Make a frequency polygon from the given data.

$\begin{matrix} W e i g h t (k g) & N u m b e r O f S t u d e n t s 35.5 - 40.5 & 5 40.5 - 45.5 & 2 45.5 - 50.5 & 12 50.5 - 55.5 & 2 55.5 - 60.5 & 45 \end{matrix}$
[4 MARKS]

Discussion

35.	The average marks scored by 100 students were calculated as 40. Later, it was discovered that a score of 38 was misread as 83. Find the correct mean.
Answer» The average marks scored by 100 students were calculated as 40. Later, it was discovered that a score of 38 was misread as 83. Find the correct mean.

Discussion

36.	Sort the steps to construct an angle of 600.
Answer» Sort the steps to construct an angle of $60^{0}$ .

Discussion

37.	If A is a square matrix of order n and A=kB, where k is a scalar, then \|A\|=
Answer» If A is a square matrix of order n and A=kB, where k is a scalar, then \|A\|=

Discussion

38.	R is relation over the set of integers and it is given by (x, y) ϵ R ⇔ R \|x - y\| ≤ 1. Then, R is
Answer» R is relation over the set of integers and it is given by (x, y) $ϵ$ R $\Leftrightarrow$ R \|x - y\| $\leq$ 1. Then, R is

Discussion

39.	In the given figure,L and M are the mid-points of AB and BC respectively. (i) If AB=BC,prove that AL=MC. (ii) If BL=BM,prove that AB=BC.
Answer» In the given figure,L and M are the mid-points of AB and BC respectively. (i) If AB=BC,prove that AL=MC. (ii) If BL=BM,prove that AB=BC.

39.

In the given figure,L and M are the mid-points of AB and BC respectively. (i) If AB=BC,prove that AL=MC. (ii) If BL=BM,prove that AB=BC.

Answer»

In the given figure,L and M are the mid-points of AB and BC respectively.

(i) If AB=BC,prove that AL=MC.

(ii) If BL=BM,prove that AB=BC.

Discussion

40.	A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole is___ m, if the angle made by the rope with the ground level is 30∘.
Answer» A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole is___ m, if the angle made by the rope with the ground level is $30^{\circ}$ .

Discussion

41.	M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Then which of the following is correct?
Answer» M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Then which of the following is correct?

Discussion

42.	The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cylinder of height 1023 cm. Find the diameter of the base of the cylinder.
Answer» The radii of the internal and external surfaces of a metallic spherical shell are $3$ cm and $5$ cm respectively. It is melted and recast into a solid right circular cylinder of height $10 \frac{2}{3} c m$ . Find the diameter of the base of the cylinder.

Discussion

43.	Find the area of a triangular field whose sides are 91 m, 98 m and 105 m in length. Find the height corresponding to the longest side.
Answer» Find the area of a triangular field whose sides are 91 m, 98 m and 105 m in length. Find the height corresponding to the longest side.

Discussion

44.	Find the values of a and b, if x2 - 4 is a factor of ax4+2x3−3x2 + bx - 4
Answer» Find the values of a and b, if $x^{2}$ - 4 is a factor of $a x^{4} + 2 x^{3} - 3 x^{2}$ + bx - 4

Discussion

45.	A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.
Answer» A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.

Discussion

46.	If line l is parallel to line m, the corresponding angles are-
Answer» If line l is parallel to line m, the corresponding angles are-

Discussion

47.	Find the probability that a leap year selected at random contains 53 Tuesdays.
Answer» Find the probability that a leap year selected at random contains 53 Tuesdays.

Discussion

48.	The figure formed by joining the midpoints of the adjacent sides of a quadrilateral is a (a) rhombus (b) square (c) rectangle (d) parallelogram
Answer» The figure formed by joining the midpoints of the adjacent sides of a quadrilateral is a (a) rhombus (b) square (c) rectangle (d) parallelogram

48.

The figure formed by joining the midpoints of the adjacent sides of a quadrilateral is a (a) rhombus (b) square (c) rectangle (d) parallelogram

Answer»

The figure formed by joining the midpoints of the adjacent sides of a quadrilateral is a

(a) rhombus

(b) square

(c) rectangle

(d) parallelogram

Discussion

49.	Are the square roots of all positive integers irrational? If not, give an example of the square of a number which is rational number.
Answer» Are the square roots of all positive integers irrational? If not, give an example of the square of a number which is rational number.

Discussion

50.	The radius of a cone is 7 cm and area of curved surface is 176 cm2.Find the slant height.
Answer» The radius of a cone is 7 cm and area of curved surface is 176 $c m^{2}$ .Find the slant height.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The value of [4−1+3−1+6−2]−1 is ___.

An irrational number is marked on the number line (D) as shown in the figure below. Then the value of D is ________.

The ___ co-ordinate is the perpendicular distance of the point from the x-axis.

Question 09. A student says that, if you throw a die, it will show up 1 or not 1. Therefore, the probability of getting 1 and the probability of getting not 1 each is equal to 12. Is this correct ? Give reasons.

Consider the figure: If ∠A=50∘​, ∠B=70∘​, and x=2y, then find the value of x+2y.

Find the value of 13−√8−1√8−√7+1√7−√6−1√6−√5+1√5−2 .

Plot the following points on a graph paper: [4 MARKS] (a) (3, 4) (b) (-2, 3) (c) (-1,-2) (d) (5,-1)

In a ΔABC, the line joining the mid points D and E of sides AB and AC respectively, is produced to meet at point F such that DE = EF. What can you say about the figure DFCB?

In the diagram, select the major arc and the minor arc of the circle, with respect to the chord AB.

ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent

Question 5 (ii) In the given figure, PQRS and ABRS are parallelograms and X is any point on side BR. Show that: ar(ΔAXS)=12ar(PQRS)

Express log105√108 in terms of log102 and log103

Following bar chart represents the number of children in a family:

Factorise:(3x- 5y)3 + (5y - 2z)3 + (2z - 3x)3

Question 47 In the following question, state whether the given statement is true (T) or false (F). The number LIV is greater than LVI.

D is the mid point of side BC of triangle ABC. So,

Find the solution to the following system of linear equations: 2x-y+6=0 4x+5y-16=0

A parallelogram whose all sides are equal is called a _____.

In triangle ABC, right angled at B, if ∠A is 45∘, find the value of cot A and tan C, without using tables.

At what point does the line x + y = 5 meet a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis?

Question 8 The area of the square that can be inscribed in a circle of radius 8 cm is (A) 256 cm2 (B) 128 cm2 (C) 64√2 cm2 (D) 64 cm2

Which of following is a solution of the equation, 2x+3y=11?

The base of a prism is a rectangle of sides 24 cm and 7 cm respectively and its height is 30 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the total surface area of each of the triangular prisms?

Which one of the following statements are true?

The volumes of the two cubes are in the ratio 64:27. Find the ratio of their surface areas.

Two points A &amp; B are marked on the number line as shown in fig with A = -2 &amp; B = -5 The distance between them is

Find the sum of (11x2−8x+4) and (6x2+7x−10).

Identify the major sector and minor segment in the given figure:

Match the figures with their areas.

Two chords AB and AC of a circle subtends angles equal to 80∘ and 140∘ respectively at the centre. Find ∠BAC.

A, B, C, and D form the coordinates of a trapezium. What would be the perimeter of the trapezium?

Make a frequency polygon from the given data. Weight(kg)Number Of Students35.5−40.5540.5−45.5245.5−50.51250.5−55.5255.5−60.545 [4 MARKS]

The average marks scored by 100 students were calculated as 40. Later, it was discovered that a score of 38 was misread as 83. Find the correct mean.

Sort the steps to construct an angle of 600.

If A is a square matrix of order n and A=kB, where k is a scalar, then |A|=

R is relation over the set of integers and it is given by (x, y) ϵ R ⇔ R |x - y| ≤ 1. Then, R is

In the given figure,L and M are the mid-points of AB and BC respectively. (i) If AB=BC,prove that AL=MC. (ii) If BL=BM,prove that AB=BC.

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole is___ m, if the angle made by the rope with the ground level is 30∘.

M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L. Then which of the following is correct?

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cylinder of height 1023 cm. Find the diameter of the base of the cylinder.

Find the area of a triangular field whose sides are 91 m, 98 m and 105 m in length. Find the height corresponding to the longest side.

Find the values of a and b, if x2 - 4 is a factor of ax4+2x3−3x2 + bx - 4

A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.

If line l is parallel to line m, the corresponding angles are-

Find the probability that a leap year selected at random contains 53 Tuesdays.

The figure formed by joining the midpoints of the adjacent sides of a quadrilateral is a (a) rhombus (b) square (c) rectangle (d) parallelogram

Are the square roots of all positive integers irrational? If not, give an example of the square of a number which is rational number.

The radius of a cone is 7 cm and area of curved surface is 176 cm2.Find the slant height.

Consider the figure: If ∠A=50∘, ∠B=70∘, and x=2y, then find the value of x+2y.

Two points A & B are marked on the number line as shown in fig with A = -2 & B = -5 The distance between them is