24740 + Interview Questions in Mathematics

1.	A conical tent is 10 m high and the radius of its base is 24 m. Find(i) slant height of the tent(ii) cost of the canvas required to make the tent, if the cost of 1 m2 canvas is Rs 70.
Answer» A conical tent is 10 m high and the radius of its base is 24 m. Find (i) slant height of the tent (ii) cost of the canvas required to make the tent, if the cost of 1 m² canvas is Rs 70.

1.

A conical tent is 10 m high and the radius of its base is 24 m. Find(i) slant height of the tent(ii) cost of the canvas required to make the tent, if the cost of 1 m2 canvas is Rs 70.

Answer»

A conical tent is 10 m high and the radius of its base is 24 m. Find

(i) slant height of the tent

(ii) cost of the canvas required to make the tent, if the cost of 1 m² canvas is Rs 70.

2.	A dance floor has to be built as a triangular glass platform with the dimensions 7 m, 8 m and 9 m. The total surface area of the glass required to build such a platform is equal to ___m2.
Answer» A dance floor has to be built as a triangular glass platform with the dimensions 7 m, 8 m and 9 m. The total surface area of the glass required to build such a platform is equal to ___ $m^{2}$ .

Discussion

3.	The average weekly payment to 75 workers in a factory is ₹ 5680. The mean weekly payment to 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Find the mean weekly payment of the remaining workers.
Answer» The average weekly payment to 75 workers in a factory is ₹ 5680. The mean weekly payment to 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Find the mean weekly payment of the remaining workers.

Discussion

4.	What is the first step in converting the given quadrilateral PQRS into a triangle of equal area?
Answer» What is the first step in converting the given quadrilateral PQRS into a triangle of equal area?

Discussion

5.	7.1/2 cube +1/3cube -5/6 cube evalute
Answer» 7.1/2 cube +1/3cube -5/6 cube evalute

Discussion

6.	A sphere of radius 10 cm and density 500 kg/m3 is under water of density 1000 kg/m3. The acceleration of the sphere is 9.80 m/s2 upward. Viscosity of water is 1.0 centipoise. If g = 9.81 m/s2, the velocity of the sphere is :(1)9 m/s(2)10 m/s(3)11 m/s(4)12 m/s
Answer» A sphere of radius 10 cm and density 500 kg/m3 is under water of density 1000 kg/m3. The acceleration of the sphere is 9.80 m/s2 upward. Viscosity of water is 1.0 centipoise. If g = 9.81 m/s2, the velocity of the sphere is : (1) 9 m/s (2) 10 m/s (3) 11 m/s (4) 12 m/s

Discussion

7.	If x3 + 5x2 + 10 k leaves remainder –2x when divided by x2 + 2, then the value of k is
Answer» If $x^{3}$ + 5 $x^{2}$ + 10 k leaves remainder –2x when divided by $x^{2}$ + 2, then the value of k is

Discussion

8.	Question 2Write True or False and justify your answer:The area of a ΔABC is 8 cm2 in which AB = AC = 4 cm and ∠A=90∘
Answer» Question 2 Write True or False and justify your answer: The area of a $Δ A B C$ is 8 $c m^{2}$ in which AB = AC = 4 cm and $∠ A = 90^{\circ}$

Discussion

9.	If A−1=⎡⎢⎣1−1203100−1/3⎤⎥⎦, then
Answer» If $A^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 2 0 & 3 & 1 0 & 0 & - 1 / 3 \end{matrix} ⎤ ⎥ ⎦,$ then

Discussion

10.	Let R be a relation defined on set A = {1,2,3,4} such that R={(1,2) (1,3) (2,4) (3,2)} if domain of R is the set B and range is the set C then find ( B intersection C )
Answer» Let R be a relation defined on set A = {1,2,3,4} such that R={(1,2) (1,3) (2,4) (3,2)} if domain of R is the set B and range is the set C then find ( B intersection C )

Discussion

11.	In the figure, lines AB and CD intersect at O.If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find ∠BOE and reflex ∠COE . [4 MARKS]
Answer» In the figure, lines AB and CD intersect at O.If $∠ A O C + ∠ B O E = 70^{\circ}$ and $∠ B O D = 40^{\circ}$ , find $∠ B O E$ and reflex $∠ C O E$ . [4 MARKS]

11.

In the figure, lines AB and CD intersect at O.If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find ∠BOE and reflex ∠COE . [4 MARKS]

Answer»

In the figure, lines AB and CD intersect at O.If $∠ A O C + ∠ B O E = 70^{\circ}$ and $∠ B O D = 40^{\circ}$ , find $∠ B O E$ and reflex $∠ C O E$ . [4 MARKS]

Discussion

12.	Draw a labelled figure showing information in each of the following statements and write the antecedent and the consequent.(i) Two equilateral triangles are similar.(ii) If angles in a linear pair are congruent then each of them is a right angle.(iii) If the altitudes drawn on two sides of a triangle are congruent then those two sides are congruent.
Answer» Draw a labelled figure showing information in each of the following statements and write the antecedent and the consequent. (i) Two equilateral triangles are similar. (ii) If angles in a linear pair are congruent then each of them is a right angle. (iii) If the altitudes drawn on two sides of a triangle are congruent then those two sides are congruent.

Discussion

13.	In ΔABC, E and F are mid-points of the sides AB and AC, respectively. G and H are mid-points of the sides AE and AF respectively of the ΔAEF. If GH = 1.8 cm, find BC.
Answer» In $Δ A B C$ , E and F are mid-points of the sides AB and AC, respectively. G and H are mid-points of the sides AE and AF respectively of the $Δ A E F$ . If GH = 1.8 cm, find BC.

Discussion

14.	The bisectors of the angles of a parallelogram enclose a (a) rhombus (b) square (c) rectangle (d) parallelogram
Answer» The bisectors of the angles of a parallelogram enclose a (a) rhombus (b) square (c) rectangle (d) parallelogram

14.

The bisectors of the angles of a parallelogram enclose a (a) rhombus (b) square (c) rectangle (d) parallelogram

Answer»

The bisectors of the angles of a parallelogram enclose a

(a) rhombus

(b) square

(c) rectangle

(d) parallelogram

Discussion

15.	Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.
Answer» Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.

Discussion

16.	AB and CD are two parallel chords of a circle such that AB=10 cm and CD=24 cm. If the chords are on opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.
Answer» $A B$ and $C D$ are two parallel chords of a circle such that $A B = 10 c m$ and $C D = 24 c m .$ If the chords are on opposite sides of the centre and the distance between them is $17 c m,$ find the radius of the circle.

Discussion

17.	In the given figure ABCD is a parallelogram, P is the point on CD. What is the area of ΔAPB if the area of ΔDPA is 25 cm2 and ΔAPC is 30 cm2.
Answer» In the given figure ABCD is a parallelogram, P is the point on CD. What is the area of $Δ A P B$ if the area of $Δ D P A$ is $25 c m^{2}$ and $Δ A P C$ is $30 c m^{2}$ .

Discussion

18.	A line passes through A(1. 1) and B(100, 1000). The number of points with integral co-ordinates on the linestrictly between A and B is
Answer» A line passes through A(1. 1) and B(100, 1000). The number of points with integral co-ordinates on the linestrictly between A and B is

Discussion

19.	A chord of length 30 cm is drawn at a distance of 8 cm from the centre of a circle. Find out the radius of the circle.
Answer» A chord of length 30 cm is drawn at a distance of 8 cm from the centre of a circle. Find out the radius of the circle.

Discussion

20.	PROVE THAT 1/2sina is equal to sina/2.cosa/2
Answer» PROVE THAT 1/2sina is equal to sina/2.cosa/2

Discussion

21.	In the isosceles triangle ABC, ∠A and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are(3x-17)° and (8x + 10)° respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.
Answer» In the isosceles triangle ABC, ∠A and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are (3x $-$ 17)^° and (8x + 10)^°respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.

Discussion

22.	Question 17If x=5y, then x and y vary ___with each other.
Answer» Question 17 If x=5y, then x and y vary ___with each other.

22.

Question 17If x=5y, then x and y vary ___with each other.

Answer»

Question 17

If x=5y, then x and y vary ___with each other.

Discussion

23.	25. One of the zeros of the polynomial x square - Mx+ n is 4 such that n is a positive integer divisible by 7 and less than 50 and M is a prime number if one of the zeros of the polynomial x squared minus MX + S is 9 then the value of S
Answer» 25. One of the zeros of the polynomial x square - Mx+ n is 4 such that n is a positive integer divisible by 7 and less than 50 and M is a prime number if one of the zeros of the polynomial x squared minus MX + S is 9 then the value of S

Discussion

24.	Question 5Locate √5,√10 and √17 on the number line.
Answer» Question 5 Locate $\sqrt{5}, \sqrt{10}$ and $\sqrt{17}$ on the number line.

Discussion

25.	Factorise:6 – x – x2
Answer» Factorise: 6 – x – x²

Discussion

26.	Solve for x and y using substitution method: 12x−1y=−1 1x+12y=8 (Given: x≠0 and y≠0)
Answer» Solve for x and y using substitution method: $\frac{1}{2 x} - \frac{1}{y} = - 1$ $\frac{1}{x} + \frac{1}{2 y} = 8$ (Given: $x \neq 0 a n d y \neq 0)$

Discussion

27.	Question 4Write the coefficient of x2 in each of the following:(i) π6x+x2−1(ii) 3x−5(iii) (x−1)(3x−4)(iv) (2x−5)(2x2–3x+1)
Answer» Question 4 Write the coefficient of $x^{2}$ in each of the following: (i) $\frac{π}{6} x + x^{2} - 1$ (ii) $3 x - 5$ (iii) $(x - 1) (3 x - 4)$ (iv) $(2 x - 5) (2 x^{2} - 3 x + 1)$

Discussion

28.	From the following figure, find the sum of ∠w+∠x+∠y+∠z.
Answer» From the following figure, find the sum of $∠ w + ∠ x + ∠ y + ∠ z$ .

Discussion

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

Discussion

30.	2. How to prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
Answer» 2. How to prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Discussion

31.	The point (3, -2) lies in ____________
Answer» The point (3, -2) lies in ____________

Discussion

32.	Find the value of ( 109 )2
Answer» Find the value of ( 109 )²

Discussion

33.	If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .
Answer» If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .

Discussion

34.	What is the solution for the two lines in the given graph?
Answer» What is the solution for the two lines in the given graph?

Discussion

35.	Perpendicular distance of the point (3, 5, 6) from y-axis is _______________________________.
Answer» Perpendicular distance of the point (3, 5, 6) from y-axis is _______________________________.

Discussion

36.	A parallelogram of area 24 sq cm was divided in two triangles by joining two opposite vertices. Find the area of each triangle.
Answer» A parallelogram of area 24 sq cm was divided in two triangles by joining two opposite vertices. Find the area of each triangle.

Discussion

37.	What is the surface area of a solid cuboid whose dimensions are 6, 4 and 2 (in inches)?
Answer» What is the surface area of a solid cuboid whose dimensions are 6, 4 and 2 (in inches)?

Discussion

38.	Draw the graph of each of the following linear equations in two variables:(i) (ii) (iii) y = 3x (iv) 3 = 2x + y
Answer» Draw the graph of each of the following linear equations in two variables: (i) (ii) (iii) y = 3x (iv) 3 = 2x + y

38.

Draw the graph of each of the following linear equations in two variables:(i) (ii) (iii) y = 3x (iv) 3 = 2x + y

Answer»

Draw the graph of each of the following linear equations in two variables:

(i) (ii) (iii) y = 3x (iv) 3 = 2x + y

Discussion

39.	The adjacent sides of a parallelogram ABCD measures 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.
Answer» The adjacent sides of a parallelogram ABCD measures 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.

Discussion

40.	When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively.
Answer» When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively.

Discussion

41.	Identify the points which lie on the line 3x+4y=7.
Answer» Identify the points which lie on the line $3 x + 4 y = 7.$

Discussion

42.	Express each of the following decimals in the form pq:(i) 0.4(ii) 0.37¯(iii) 0.54¯(iv) 0.621¯(v) 125.3¯(vi) 4.7¯(vii) 0.47¯
Answer» Express each of the following decimals in the form $\frac{p}{q} :$ (i) $0.4$ (ii) $0 . \bar{37}$ (iii) $0 . \bar{54}$ (iv) $0 . \bar{621}$ (v) $125 . \bar{3}$ (vi) $4 . \bar{7}$ (vii) $0 . \bar{47}$

Discussion

43.	Factorise:x2 + 7x – 98
Answer» Factorise: x² + 7x – 98

Discussion

44.	In which quadrant or on which axis do each of the points and lie? Verify your answer by locating them on the Cartesian plane.
Answer» In which quadrant or on which axis do each of the points and lie? Verify your answer by locating them on the Cartesian plane.

Discussion

45.	The length of the perpendicular drawn from the point P(a, b, c) from z-axis is(a) a2+b2(b) b2+c2(c) a2+c2(d) a2+b2+c2
Answer» The length of the perpendicular drawn from the point P(a, b, c) from z-axis is (a) $\sqrt{a^{2} + b^{2}}$ (b) $\sqrt{b^{2} + c^{2}}$ (c) $\sqrt{a^{2} + c^{2}}$ (d) $\sqrt{a^{2} + b^{2} + c^{2}}$

Discussion

46.	16.a 1 hp motor pumps out water from a well of depth 20m and fills a water tank of volume 2238 litres at height from the ground the running time of the motor to fill the emptytank is (g =10m/s2)
Answer» 16.a 1 hp motor pumps out water from a well of depth 20m and fills a water tank of volume 2238 litres at height from the ground the running time of the motor to fill the emptytank is (g =10m/s2)

Discussion

47.	Find the square of 21 by using the formula (a+b)2=a2+2ab2+b2
Answer» Find the square of 21 by using the formula $(a + b)^{2} = a^{2} + 2 a b^{2} + b^{2}$

Discussion

48.	Simplify and write in exponential form. (8285)4×8−3 [2 MARKS]
Answer» Simplify and write in exponential form. $(\frac{8^{2}}{8^{5}})^{4} \times 8^{- 3}$ [2 MARKS]

Discussion

49.	Simplified form of (3x+5)(x−4) has how many terms?
Answer» Simplified form of $(3 x + 5) (x - 4)$ has how many terms?

Discussion

50.	Question 78Subtraction of rational number is commutative
Answer» Question 78 Subtraction of rational number is commutative

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A conical tent is 10 m high and the radius of its base is 24 m. Find(i) slant height of the tent(ii) cost of the canvas required to make the tent, if the cost of 1 m2 canvas is Rs 70.

A dance floor has to be built as a triangular glass platform with the dimensions 7 m, 8 m and 9 m. The total surface area of the glass required to build such a platform is equal to ___m2.

The average weekly payment to 75 workers in a factory is ₹ 5680. The mean weekly payment to 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Find the mean weekly payment of the remaining workers.

What is the first step in converting the given quadrilateral PQRS into a triangle of equal area?

7.1/2 cube +1/3cube -5/6 cube evalute

A sphere of radius 10 cm and density 500 kg/m3 is under water of density 1000 kg/m3. The acceleration of the sphere is 9.80 m/s2 upward. Viscosity of water is 1.0 centipoise. If g = 9.81 m/s2, the velocity of the sphere is :(1)9 m/s(2)10 m/s(3)11 m/s(4)12 m/s

If x3 + 5x2 + 10 k leaves remainder –2x when divided by x2 + 2, then the value of k is

Question 2Write True or False and justify your answer:The area of a ΔABC is 8 cm2 in which AB = AC = 4 cm and ∠A=90∘

If A−1=⎡⎢⎣1−1203100−1/3⎤⎥⎦, then

Let R be a relation defined on set A = {1,2,3,4} such that R={(1,2) (1,3) (2,4) (3,2)} if domain of R is the set B and range is the set C then find ( B intersection C )

In the figure, lines AB and CD intersect at O.If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find ∠BOE and reflex ∠COE . [4 MARKS]

In ΔABC, E and F are mid-points of the sides AB and AC, respectively. G and H are mid-points of the sides AE and AF respectively of the ΔAEF. If GH = 1.8 cm, find BC.

The bisectors of the angles of a parallelogram enclose a (a) rhombus (b) square (c) rectangle (d) parallelogram

Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.

AB and CD are two parallel chords of a circle such that AB=10 cm and CD=24 cm. If the chords are on opposite sides of the centre and the distance between them is 17 cm, find the radius of the circle.

In the given figure ABCD is a parallelogram, P is the point on CD. What is the area of ΔAPB if the area of ΔDPA is 25 cm2 and ΔAPC is 30 cm2.

A line passes through A(1. 1) and B(100, 1000). The number of points with integral co-ordinates on the linestrictly between A and B is

A chord of length 30 cm is drawn at a distance of 8 cm from the centre of a circle. Find out the radius of the circle.

PROVE THAT 1/2sina is equal to sina/2.cosa/2

In the isosceles triangle ABC, ∠A and ∠B are equal. ∠ACD is an exterior angle of ∆ABC. The measures of ∠ACB and ∠ACD are(3x-17)° and (8x + 10)° respectively. Find the measures of ∠ACB and ∠ACD. Also find the measures of ∠A and ∠B.

Question 17If x=5y, then x and y vary ___with each other.

25. One of the zeros of the polynomial x square - Mx+ n is 4 such that n is a positive integer divisible by 7 and less than 50 and M is a prime number if one of the zeros of the polynomial x squared minus MX + S is 9 then the value of S

Question 5Locate √5,√10 and √17 on the number line.

Factorise:6 – x – x2

Solve for x and y using substitution method: 12x−1y=−1 1x+12y=8 (Given: x≠0 and y≠0)

Question 4Write the coefficient of x2 in each of the following:(i) π6x+x2−1(ii) 3x−5(iii) (x−1)(3x−4)(iv) (2x−5)(2x2–3x+1)

From the following figure, find the sum of ∠w+∠x+∠y+∠z.

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

2. How to prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

The point (3, -2) lies in ____________

Find the value of ( 109 )2

If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .

What is the solution for the two lines in the given graph?

Perpendicular distance of the point (3, 5, 6) from y-axis is _______________________________.

A parallelogram of area 24 sq cm was divided in two triangles by joining two opposite vertices. Find the area of each triangle.

What is the surface area of a solid cuboid whose dimensions are 6, 4 and 2 (in inches)?

Draw the graph of each of the following linear equations in two variables:(i) (ii) (iii) y = 3x (iv) 3 = 2x + y

The adjacent sides of a parallelogram ABCD measures 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.

When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively.

Identify the points which lie on the line 3x+4y=7.

Express each of the following decimals in the form pq:(i) 0.4(ii) 0.37¯(iii) 0.54¯(iv) 0.621¯(v) 125.3¯(vi) 4.7¯(vii) 0.47¯

Factorise:x2 + 7x – 98

In which quadrant or on which axis do each of the points and lie? Verify your answer by locating them on the Cartesian plane.

The length of the perpendicular drawn from the point P(a, b, c) from z-axis is(a) a2+b2(b) b2+c2(c) a2+c2(d) a2+b2+c2

16.a 1 hp motor pumps out water from a well of depth 20m and fills a water tank of volume 2238 litres at height from the ground the running time of the motor to fill the emptytank is (g =10m/s2)

Find the square of 21 by using the formula (a+b)2=a2+2ab2+b2

Simplify and write in exponential form. (8285)4×8−3 [2 MARKS]

Simplified form of (3x+5)(x−4) has how many terms?

Question 78Subtraction of rational number is commutative