24740 + Interview Questions in Mathematics

1.	In the given figure, △ABC is circumscribed. The circle touches the sides AB, BC and CA at P, Q, R respectively. If AP = 5 cm, BP = 7 cm, AC = 14 cm and BC = x cm, find the value of x. __
Answer» In the given figure, $△$ ABC is circumscribed. The circle touches the sides AB, BC and CA at P, Q, R respectively. If AP = 5 cm, BP = 7 cm, AC = 14 cm and BC = $x$ cm, find the value of $x$ . __

1.

In the given figure, △ABC is circumscribed. The circle touches the sides AB, BC and CA at P, Q, R respectively. If AP = 5 cm, BP = 7 cm, AC = 14 cm and BC = x cm, find the value of x. __

Answer»

In the given figure, $△$ ABC is circumscribed. The circle touches the sides AB, BC and CA at P, Q, R respectively. If AP = 5 cm, BP = 7 cm, AC = 14 cm and BC = $x$ cm, find the value of $x$ .

__

Discussion

2.	If the radius of a circle gets doubled, its diameter gets
Answer» If the radius of a circle gets doubled, its diameter gets

Discussion

3.	Which one of the following is correct and which one is not correct? Give reasons. 1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational. 2) The product of a non-profit rational number with an irrational number is always irrational. 3) Addition of any two irrational numbers can be rational. 4) Division of any two integers is an integer.
Answer» Which one of the following is correct and which one is not correct? Give reasons. 1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational. 2) The product of a non-profit rational number with an irrational number is always irrational. 3) Addition of any two irrational numbers can be rational. 4) Division of any two integers is an integer.

3.

Which one of the following is correct and which one is not correct? Give reasons. 1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational. 2) The product of a non-profit rational number with an irrational number is always irrational. 3) Addition of any two irrational numbers can be rational. 4) Division of any two integers is an integer.

Answer»

Which one of the following is correct and which one is not correct? Give reasons.

1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational.

2) The product of a non-profit rational number with an irrational number is always irrational.

3) Addition of any two irrational numbers can be rational.

4) Division of any two integers is an integer.

Discussion

4.	The base of iscosceles triangle is 4by3 cm. The peremeter of the triangle is 4 2by 15cm . what is the length of the either vof the remaining equal sides
Answer» The base of iscosceles triangle is 4by3 cm. The peremeter of the triangle is 4 2by 15cm . what is the length of the either vof the remaining equal sides

Discussion

5.	Check whether the polynomial p(x) = 4x3 + 4x2 - x - 1 is a multiple it 2x + 1
Answer» Check whether the polynomial p(x) = 4x³+ 4x²- x - 1 is a multiple it 2x + 1

Discussion

6.	Two solid cones A and B are placed in a cylindrical tube as shown in the figure below. The ratio of their capacities is 2:1. Find the volume of the remaining portion of the cylinder.
Answer» Two solid cones A and B are placed in a cylindrical tube as shown in the figure below. The ratio of their capacities is 2:1. Find the volume of the remaining portion of the cylinder.

6.

Two solid cones A and B are placed in a cylindrical tube as shown in the figure below. The ratio of their capacities is 2:1. Find the volume of the remaining portion of the cylinder.

Answer»

Two solid cones A and B are placed in a cylindrical tube as shown in the figure below. The ratio of their capacities is 2:1. Find the volume of the remaining portion of the cylinder.

Discussion

7.	Question 1 (ii) Find 8 × 4.6
Answer» Question 1 (ii) Find 8 $\times$ 4.6

Discussion

8.	If( x+1/x)^2=3, then find the value of x^206+x^200+x^90+x^84+x^18+x^12+x^6+1
Answer» If( x+1/x)^2=3, then find the value of x^206+x^200+x^90+x^84+x^18+x^12+x^6+1

Discussion

9.	There is a narrow rectangular plot reserved for a school in mahuli village. The length and the breadth of plot are in the ratio of 11:4. At the rate ₹100 per metre, it will cost the village panchayat ₹75000 to fence the plot. What are the dimensions of the plot?
Answer» There is a narrow rectangular plot reserved for a school in mahuli village. The length and the breadth of plot are in the ratio of $11 : 4$ . At the rate $₹ 100$ per metre, it will cost the village panchayat $₹ 75000$ to fence the plot. What are the dimensions of the plot?

Discussion

10.	Three pot have the same volume . The ratio of the milk and water in first, second and third pots are 3:2, 7:3 and 11:4 respectively. If the liquids of the three are mixed,then find the ratio of milk and water .
Answer» Three pot have the same volume . The ratio of the milk and water in first, second and third pots are 3:2, 7:3 and 11:4 respectively. If the liquids of the three are mixed,then find the ratio of milk and water .

Discussion

11.	If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?
Answer» If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?

Discussion

12.	Construct a right triangle ABC with AB = 6 cm, BC = 8 cm and ∠ B = 90∘. Draw BD, the perpendicular from B on AC. Draw the circle through B, C and D and construct the tangents from A to this circle. [4 MARKS]
Answer» Construct a right triangle ABC with AB = 6 cm, BC = 8 cm and $∠$ B = $90^{\circ}$ . Draw BD, the perpendicular from B on AC. Draw the circle through B, C and D and construct the tangents from A to this circle. [4 MARKS]

Discussion

13.	Question 5 (ii) It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20per m2, find: (ii) The radius of the base.
Answer» Question 5 (ii) It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of $R s 20 p e r m^{2}$ , find: (ii) The radius of the base.

13.

Question 5 (ii) It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20per m2, find: (ii) The radius of the base.

Answer»

Question 5 (ii)
It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of $R s 20 p e r m^{2}$ , find:

(ii) The radius of the base.

Discussion

14.	If log4 5 = a and log5 6 = b, then log3 2 is equal to
Answer» If $l o g_{4} 5$ = a and $l o g_{5} 6$ = b, then $l o g_{3} 2$ is equal to

Discussion

15.	The area of a parallelogram whose base is 4 cm and the height is 5 cm is
Answer» The area of a parallelogram whose base is 4 cm and the height is 5 cm is

Discussion

16.	Find j in the following for 7 to be the mode 1,4,4,7,6,8,7,j
Answer» Find j in the following for 7 to be the mode 1,4,4,7,6,8,7,j

Discussion

17.	When 15√15 is divided by 3√3, the quotient is:
Answer» When 15√15 is divided by 3√3, the quotient is:

Discussion

18.	The sides of a rectangle are in the ratio 7:3. If its area is 7581 m2, find its perimeter
Answer» The sides of a rectangle are in the ratio 7:3. If its area is 7581 m2, find its perimeter

Discussion

19.	The angle bisectors of a rectangle will form :
Answer» The angle bisectors of a rectangle will form :

Discussion

20.	Question 6 The table below shows the daily expenditure on food of 25 households in a locality. Daily expenditure (in Rs)100−150150−200200−250250−300300−350Number of households451222 Find the mean daily expenditure on food by a suitable method.
Answer» Question 6 The table below shows the daily expenditure on food of 25 households in a locality. $\begin{matrix} Daily expenditure (in Rs) & 100 - 150 & 150 - 200 & 200 - 250 & 250 - 300 & 300 - 350 Number of households & 4 & 5 & 12 & 2 & 2 \end{matrix}$ Find the mean daily expenditure on food by a suitable method.

20.

Question 6 The table below shows the daily expenditure on food of 25 households in a locality. Daily expenditure (in Rs)100−150150−200200−250250−300300−350Number of households451222 Find the mean daily expenditure on food by a suitable method.

Answer»

Question 6
The table below shows the daily expenditure on food of 25 households in a locality.

$\begin{matrix} Daily expenditure (in Rs) & 100 - 150 & 150 - 200 & 200 - 250 & 250 - 300 & 300 - 350 Number of households & 4 & 5 & 12 & 2 & 2 \end{matrix}$

Find the mean daily expenditure on food by a suitable method.

Discussion

21.	Question 8 In ΔPQR,∠P=70∘ and ∠R=30∘ which side of this triangle is the longest? Give reason for your answer.
Answer» Question 8 In $Δ P Q R, ∠ P = 70^{\circ}$ and $∠ R = 30^{\circ}$ which side of this triangle is the longest? Give reason for your answer.

Discussion

22.	Find the remainder when p(x) = x2 – 2x is divided by x - 2
Answer» Find the remainder when p(x) = x² – 2x is divided by x - 2

Discussion

23.	Find the reference angle for 390 degree
Answer» Find the reference angle for 390 degree

Discussion

24.	By inspection, a3 - 2a2 + a - 2 gives
Answer» By inspection, a³ - 2a² + a - 2 gives

Discussion

25.	What is the name of each part of the plane formed by x-axis and y-axis?
Answer» What is the name of each part of the plane formed by x-axis and y-axis?

Discussion

26.	2√3×3√2 is a/an ___ number. (rational/irrational) .
Answer» $2 \sqrt{3} \times 3 \sqrt{2}$ is a/an ___ number. (rational/irrational) .

26.

2√3×3√2 is a/an ___ number. (rational/irrational) .

Answer»

$2 \sqrt{3} \times 3 \sqrt{2}$ is a/an ___ number. (rational/irrational)

.

Discussion

27.	If x, y, z are in G.P. and ax = by = cz, then
Answer» If x, y, z are in G.P. and $a^{x}$ = $b^{y}$ = $c^{z}$ , then

Discussion

28.	In the given figure, if AB \|\| CD, then find the value of x.
Answer» In the given figure, if AB \|\| CD, then find the value of x.

28.

In the given figure, if AB || CD, then find the value of x.

Answer»

In the given figure, if AB || CD, then find the value of x.

Discussion

29.	In the following diagrams, ABCD is a square and APB is an equilateral triangle. In each case, (i) Prove that : Δ APD ≅Δ BPC (ii) Find the angles of Δ DPC.
Answer» In the following diagrams, ABCD is a square and APB is an equilateral triangle. In each case, (i) Prove that : $Δ$ APD $≅ Δ$ BPC (ii) Find the angles of $Δ$ DPC.

29.

In the following diagrams, ABCD is a square and APB is an equilateral triangle. In each case, (i) Prove that : Δ APD ≅Δ BPC (ii) Find the angles of Δ DPC.

Answer»

In the following diagrams, ABCD is a square and APB is an equilateral triangle.

In each case,

(i) Prove that : $Δ$ APD $≅ Δ$ BPC

(ii) Find the angles of $Δ$ DPC.

Discussion

30.	The bisectors of the base angles of an isosceles triangle ABC, with AB=AC, meet at O. If ∠B = ∠C = 50Â°. What is the measure of angle O?
Answer» The bisectors of the base angles of an isosceles triangle ABC, with AB=AC, meet at O. If ∠B = ∠C = 50Â°. What is the measure of angle O?

Discussion

31.	Which of the following parametric representation correspond to points on the line x + y = 2?
Answer» Which of the following parametric representation correspond to points on the line x + y = 2?

Discussion

32.	Find the quotient when the polynomial x3+x2+1 is divided by x+2 using synthetic division method.
Answer» Find the quotient when the polynomial $x^{3} + x^{2} + 1$ is divided by $x + 2$ using synthetic division method.

Discussion

33.	The pair of lines that are equidistant from each other throughout their length are called ______________________.
Answer» The pair of lines that are equidistant from each other throughout their length are called ______________________.

Discussion

34.	In a parallelogram ABCD, if angle A =(2x-20 degree), angle B =(y+15 degree , angle C=(x+40degree), then find the value of x and y .
Answer» In a parallelogram ABCD, if angle A =(2x-20 degree), angle B =(y+15 degree , angle C=(x+40degree), then find the value of x and y .

Discussion

35.	If the angles (2a−10)∘ and (a−11)∘ are complementary, then find the value of a.
Answer» If the angles $(2 a - 10)^{\circ}$ and $(a - 11)^{\circ}$ are complementary, then find the value of a.

Discussion

36.	A rectangle has one of its diagonals equal to 5 cm. If the breadth of the rectangle is 3 cm, then its area is
Answer» A rectangle has one of its diagonals equal to 5 cm. If the breadth of the rectangle is 3 cm, then its area is

Discussion

37.	Evaluate : sin 18∘cos 72∘___
Answer» Evaluate : $\frac{s i n 18^{\circ}}{c o s 72^{\circ}}$ ___

Discussion

38.	Factorize: 3−a(4+7a)
Answer» Factorize: $3 - a (4 + 7 a)$

Discussion

39.	△ABC is a right angled triangle, right angled at B. BD is perpendicular as shown. What is AC×DC?
Answer» $△$ ABC is a right angled triangle, right angled at B. BD is perpendicular as shown. What is $A C \times D C$ ?

39.

△ABC is a right angled triangle, right angled at B. BD is perpendicular as shown. What is AC×DC?

Answer»

$△$ ABC is a right angled triangle, right angled at B. BD is perpendicular as shown. What is $A C \times D C$ ?

Discussion

40.	Which of the following are in inverse proportion?
Answer» Which of the following are in inverse proportion?

Discussion

41.	Match the following if in ΔABC, ∠B=900, ∠C=θ and AB = 9 cm and BC = 12 cm.
Answer» Match the following if in $Δ$ ABC, $∠ B = 90^{0},$ $∠ C = θ$ and AB = 9 cm and BC = 12 cm.

Discussion

42.	The base of a conical tent is of area 616 sq. cm. A 48 cm long vertical pole is placed at its centre so that it touches the roof of the tent. How much canvas is needed to make the tent if the base is also covered with canvas?
Answer» The base of a conical tent is of area 616 sq. cm. A 48 cm long vertical pole is placed at its centre so that it touches the roof of the tent. How much canvas is needed to make the tent if the base is also covered with canvas?

Discussion

43.	The area of a square is 16 m2. If the side of the square is equal to the side of an equilateral triangle, then find the perimeter of the triangle. [2 MARKS]
Answer» The area of a square is 16 $m^{2}$ . If the side of the square is equal to the side of an equilateral triangle, then find the perimeter of the triangle. [2 MARKS]

Discussion

44.	Coefficient of y in the term -y9 is ______.
Answer» Coefficient of $y$ in the term - $\frac{y}{9}$ is ______.

Discussion

45.	In the figure give, D divides the side BC of ΔABC in the ratio 3:5. What is the area of ΔABD?
Answer» In the figure give, D divides the side BC of $Δ A B C$ in the ratio 3:5. What is the area of $Δ A B D ?$

Discussion

46.	Question 8 If a + b + c = 5 and ab + bc + ca = 10, then prove that a3+b3+c3−3abc=−25.
Answer» Question 8 If a + b + c = 5 and ab + bc + ca = 10, then prove that $a^{3} + b^{3} + c^{3} - 3 a b c = - 25$ .

Discussion

47.	If two lines are intersected by a transversal, then each pair of corresponding angles so formed is :
Answer» If two lines are intersected by a transversal, then each pair of corresponding angles so formed is :

Discussion

48.	Some children planted 5 trees in the colony park and two plants in each in their houses taking the number of children as X and the total trees planted as why write a linear equation in two variables first one how many plants would be planted by 7 children
Answer» Some children planted 5 trees in the colony park and two plants in each in their houses taking the number of children as X and the total trees planted as why write a linear equation in two variables first one how many plants would be planted by 7 children

Discussion

49.	Question 2 Theinner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g. [Assume π=227]
Answer» Question 2 Theinner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if $1 c m^{3}$ of wood has a mass of 0.6 g. $[A s s u m e π = \frac{22}{7}]$

Discussion

50.	Find the different irrational numbers between rational number 5/7 and 7/11
Answer» Find the different irrational numbers between rational number 5/7 and 7/11

50.

Find the different irrational numbers between rational number 5/7 and 7/11

Answer»

Find the different irrational numbers between rational number

5/7 and 7/11

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In the given figure, △ABC is circumscribed. The circle touches the sides AB, BC and CA at P, Q, R respectively. If AP = 5 cm, BP = 7 cm, AC = 14 cm and BC = x cm, find the value of x. __

If the radius of a circle gets doubled, its diameter gets

The base of iscosceles triangle is 4by3 cm. The peremeter of the triangle is 4 2by 15cm . what is the length of the either vof the remaining equal sides

Check whether the polynomial p(x) = 4x3 + 4x2 - x - 1 is a multiple it 2x + 1

Two solid cones A and B are placed in a cylindrical tube as shown in the figure below. The ratio of their capacities is 2:1. Find the volume of the remaining portion of the cylinder.

Question 1 (ii) Find 8 × 4.6

If( x+1/x)^2=3, then find the value of x^206+x^200+x^90+x^84+x^18+x^12+x^6+1

There is a narrow rectangular plot reserved for a school in mahuli village. The length and the breadth of plot are in the ratio of 11:4. At the rate ₹100 per metre, it will cost the village panchayat ₹75000 to fence the plot. What are the dimensions of the plot?

Three pot have the same volume . The ratio of the milk and water in first, second and third pots are 3:2, 7:3 and 11:4 respectively. If the liquids of the three are mixed,then find the ratio of milk and water .

If a, b and c are the lengths of the three sides of a triangle, then which of the following is true?

Construct a right triangle ABC with AB = 6 cm, BC = 8 cm and ∠ B = 90∘. Draw BD, the perpendicular from B on AC. Draw the circle through B, C and D and construct the tangents from A to this circle. [4 MARKS]

Question 5 (ii) It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20per m2, find: (ii) The radius of the base.

If log4 5 = a and log5 6 = b, then log3 2 is equal to

The area of a parallelogram whose base is 4 cm and the height is 5 cm is

Find j in the following for 7 to be the mode 1,4,4,7,6,8,7,j

When 15√15 is divided by 3√3, the quotient is:

The sides of a rectangle are in the ratio 7:3. If its area is 7581 m2, find its perimeter

The angle bisectors of a rectangle will form :

Question 6 The table below shows the daily expenditure on food of 25 households in a locality. Daily expenditure (in Rs)100−150150−200200−250250−300300−350Number of households451222 Find the mean daily expenditure on food by a suitable method.

Question 8 In ΔPQR,∠P=70∘ and ∠R=30∘ which side of this triangle is the longest? Give reason for your answer.

Find the remainder when p(x) = x2 – 2x is divided by x - 2

Find the reference angle for 390 degree

By inspection, a3 - 2a2 + a - 2 gives

What is the name of each part of the plane formed by x-axis and y-axis?

2√3×3√2 is a/an ___ number. (rational/irrational) .

If x, y, z are in G.P. and ax = by = cz, then

In the given figure, if AB || CD, then find the value of x. ​

In the following diagrams, ABCD is a square and APB is an equilateral triangle. In each case, (i) Prove that : Δ APD ≅Δ BPC (ii) Find the angles of Δ DPC.

The bisectors of the base angles of an isosceles triangle ABC, with AB=AC, meet at O. If ∠B = ∠C = 50Â°. What is the measure of angle O?

Which of the following parametric representation correspond to points on the line x + y = 2?

Find the quotient when the polynomial x3+x2+1 is divided by x+2 using synthetic division method.

The pair of lines that are equidistant from each other throughout their length are called ______________________.

In a parallelogram ABCD, if angle A =(2x-20 degree), angle B =(y+15 degree , angle C=(x+40degree), then find the value of x and y .

If the angles (2a−10)∘ and (a−11)∘ are complementary, then find the value of a.

A rectangle has one of its diagonals equal to 5 cm. If the breadth of the rectangle is 3 cm, then its area is

Evaluate : sin 18∘cos 72∘___

Factorize: 3−a(4+7a)

△ABC is a right angled triangle, right angled at B. BD is perpendicular as shown. What is AC×DC?

Which of the following are in inverse proportion?

Match the following if in ΔABC, ∠B=900, ∠C=θ and AB = 9 cm and BC = 12 cm.

The base of a conical tent is of area 616 sq. cm. A 48 cm long vertical pole is placed at its centre so that it touches the roof of the tent. How much canvas is needed to make the tent if the base is also covered with canvas?

The area of a square is 16 m2. If the side of the square is equal to the side of an equilateral triangle, then find the perimeter of the triangle. [2 MARKS]

Coefficient of y in the term -y9 is ______.

In the figure give, D divides the side BC of ΔABC in the ratio 3:5. What is the area of ΔABD?

Question 8 If a + b + c = 5 and ab + bc + ca = 10, then prove that a3+b3+c3−3abc=−25.

If two lines are intersected by a transversal, then each pair of corresponding angles so formed is :

Some children planted 5 trees in the colony park and two plants in each in their houses taking the number of children as X and the total trees planted as why write a linear equation in two variables first one how many plants would be planted by 7 children

Question 2 Theinner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm.The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6 g. [Assume π=227]

Find the different irrational numbers between rational number 5/7 and 7/11

In the given figure, if AB || CD, then find the value of x.