24740 + Interview Questions in Mathematics

1.	Anjali spends 85% of her income and donates 9% for charity. If her monthly savings is ₹1860, what is her income?
Answer» Anjali spends 85% of her income and donates 9% for charity. If her monthly savings is ₹1860, what is her income?

Discussion

2.	If both x−2 and x−12 are factors of px2+5x+r, then:
Answer» If both $x - 2$ and $x - \frac{1}{2}$ are factors of $p x^{2} + 5 x + r$ , then:

Discussion

3.	If 3a + 5b + 4c = 0, Find the value of 27a3+125b3+64c3.
Answer» If 3a + 5b + 4c = 0, Find the value of $27 a^{3} + 125 b^{3} + 64 c^{3}$ .

Discussion

4.	30. Find the angle , whose 1 Complement is one sixth of it's supplement 2 Supplement is four times it's complement
Answer» 30. Find the angle , whose 1 Complement is one sixth of it's supplement 2 Supplement is four times it's complement

Discussion

5.	In the figure, l, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find ∠1,∠2 and ∠3.
Answer» In the figure, l, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find $∠ 1, ∠ 2$ and $∠ 3$ .

5.

In the figure, l, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find ∠1,∠2 and ∠3.

Answer»

In the figure, l, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find $∠ 1, ∠ 2$ and $∠ 3$ .

Discussion

6.	The shape after joining the midpoints of sides of a rhombus will form :
Answer» The shape after joining the midpoints of sides of a rhombus will form :

Discussion

7.	What is the type of triangle that is created when a 60∘ angle construction alone is used?__
Answer» What is the type of triangle that is created when a $60^{\circ}$ angle construction alone is used?__

Discussion

8.	The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is(a) 2 : 1(b) 1 : 1(c) 2 : 3(d) 1 : 2
Answer» The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is (a) 2 : 1 (b) 1 : 1 (c) 2 : 3 (d) 1 : 2

Discussion

9.

Following table shows the birth month of 40 students of class IX. Jan. Feb March April May June July Aug. Sept. Oct. Nov. Dec. 3 4 2 2 5 1 2 5 3 4 4 4 Find the probability that a student was born in August.

Answer» Following table shows the birth month of 40 students of class IX.

Jan.	Feb	March	April	May	June	July	Aug.	Sept.	Oct.	Nov.	Dec.
3	4	2	2	5	1	2	5	3	4	4	4

Find the probability that a student was born in August.

Discussion

10.	AB \|\| CD and tranversal XY meets AB and CD at M & N respectively. If ∠AMX=50∘, then
Answer» AB \|\| CD and tranversal XY meets AB and CD at M & N respectively. If $∠ A M X = 50^{\circ}$ , then

Discussion

11.	Please answer me fast What is the number of zeroes in the end of 599!
Answer» Please answer me fast What is the number of zeroes in the end of 599!

11.

Please answer me fast What is the number of zeroes in the end of 599!

Answer»

Please answer me fast

What is the number of zeroes in the end of 599!

Discussion

12.	If →a,→b,→c are non-coplanar unit vectors such that →a×(→b×→c)=(→b+→c)√2, then the angle between →a and →b is
Answer» If $\to a, \to b, \to c$ are non-coplanar unit vectors such that $\to a \times (\to b \times \to c) = \frac{(\to b + \to c)}{\sqrt{2}},$ then the angle between $\to a$ and $\to b$ is

Discussion

13.	If the angles of a triangle are in arithmetic progression then which of the following will be the property of the triangle?
Answer» If the angles of a triangle are in arithmetic progression then which of the following will be the property of the triangle?

Discussion

14.	A ray is reflected in turn by two plane mirrors, inclined at right angle with each other. Find the angle between incident and reflected ray
Answer» A ray is reflected in turn by two plane mirrors, inclined at right angle with each other. Find the angle between incident and reflected ray

Discussion

15.	What is the perimeter of the triangle ACD?
Answer» What is the perimeter of the triangle ACD?

15.

What is the perimeter of the triangle ACD?

Answer»

What is the perimeter of the triangle ACD?

Discussion

16.	1. Show how under root 5 can be represented on the number line with correct explanation.
Answer» 1. Show how under root 5 can be represented on the number line with correct explanation.

Discussion

17.	In figure,A,B,C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC=130∘ and ∠ECD=20∘. Find ∠BAC (in degrees).
Answer» In figure, $A, B, C$ and $D$ are four points on a circle. $A C$ and $B D$ intersect at a point $E$ such that $∠ B E C = 130^{\circ}$ and $∠ E C D = 20^{\circ}$ . Find $∠ B A C$ (in degrees).

17.

In figure,A,B,C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC=130∘ and ∠ECD=20∘. Find ∠BAC (in degrees).

Answer»

In figure, $A, B, C$ and $D$ are four points on a circle. $A C$ and $B D$ intersect at a point $E$ such that $∠ B E C = 130^{\circ}$ and $∠ E C D = 20^{\circ}$ . Find $∠ B A C$ (in degrees).

Discussion

18.	Question 2 (iv)Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows.(iv) a=−1, d=12
Answer» Question 2 (iv) Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows. (iv) $a = - 1, d = \frac{1}{2}$

Discussion

19.	Rahul wants to mark five points on a sheet of paper. What is the maximum number of points that can be collinear, if he wants to make a triangle by joining those points?
Answer» Rahul wants to mark five points on a sheet of paper. What is the maximum number of points that can be collinear, if he wants to make a triangle by joining those points?

Discussion

20.	Draw the graph of two lines, whose equations are 3x − 2y + 6 = 0 and x + 2y − 6 = 0 on the same graph paper. Find the area of triangle formed by the two lines and x-axis.
Answer» Draw the graph of two lines, whose equations are 3x − 2y + 6 = 0 and x + 2y − 6 = 0 on the same graph paper. Find the area of triangle formed by the two lines and x-axis.

Discussion

21.	The area of the base of a cone is 16πcm2 and its slant height is 5 cm. The volume of the cone is equal to
Answer» The area of the base of a cone is $16 π c m^{2}$ and its slant height is 5 cm. The volume of the cone is equal to

Discussion

22.	How to draw √12 on number line??
Answer» How to draw √12 on number line??

Discussion

23.	In a game of long jump, Ravi jumped 4.77 m, Navi jumped 4.775 m, Sushweta jumped 4.55 m, Shreya jumped 4.65 m, Apurva jumped 4.95 m. (i) Who is the winner of this game?(i) Who is in the second position in this game?
Answer» In a game of long jump, Ravi jumped 4.77 m, Navi jumped 4.775 m, Sushweta jumped 4.55 m, Shreya jumped 4.65 m, Apurva jumped 4.95 m. (i) Who is the winner of this game? (i) Who is in the second position in this game?

Discussion

24.	Which one of the given statements is correct
Answer» Which one of the given statements is correct

Discussion

25.	The mid-points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to(a) ar (ΔABC)(b) 12ar (ΔABC)(c) 13ar (ΔABC)(d) 14ar (ΔABC)
Answer» The mid-points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to (a) ar (ΔABC) (b) $\frac{1}{2}$ ar (ΔABC) (c) $\frac{1}{3}$ ar (ΔABC) (d) $\frac{1}{4}$ ar (ΔABC)

Discussion

26.	If the area of isosceles trapezium whose parallel sides are 38.7 cm and 22.3 cm is 183 root 2 sq.cm, then find its other two non-parallel sides
Answer» If the area of isosceles trapezium whose parallel sides are 38.7 cm and 22.3 cm is 183 root 2 sq.cm, then find its other two non-parallel sides

Discussion

27.	47. If a number of circles touch a given line segment PQ at a point A then prove that their centres lie on the perpendicular of PQ but don't lie on the bisector or PQ
Answer» 47. If a number of circles touch a given line segment PQ at a point A then prove that their centres lie on the perpendicular of PQ but don't lie on the bisector or PQ

Discussion

28.	9. What is the difference between ψ and ψ^2?
Answer» 9. What is the difference between ψ and ψ^2?

Discussion

29.	In the given parallelogram ABCD, O is mid-point of AB. CO and DO bisect ∠BCD and ∠ADC respectively. find the measure of ∠DOC.
Answer» In the given parallelogram ABCD, O is mid-point of AB. CO and DO bisect $∠$ BCD and $∠$ ADC respectively. find the measure of $∠$ DOC.

Discussion

30.	Draw a triangle of sides 4, 5 and 6 centimetres. Divide it into two triangles, one with one-third the area, and the other with two-thirds the area, of the original triangle.
Answer» Draw a triangle of sides 4, 5 and 6 centimetres. Divide it into two triangles, one with one-third the area, and the other with two-thirds the area, of the original triangle.

30.

Draw a triangle of sides 4, 5 and 6 centimetres. Divide it into two triangles, one with one-third the area, and the other with two-thirds the area, of the original triangle.

Answer»

Draw a triangle of sides 4, 5 and 6 centimetres. Divide it into two triangles, one with one-third the area, and the other with two-thirds the area, of the original triangle.

Discussion

31.	How many secants can be drawn on a circle?
Answer» How many secants can be drawn on a circle?

Discussion

32.	The angle formed on a straight line is ___ (in degrees).
Answer» The angle formed on a straight line is ___ (in degrees).

Discussion

33.	For which the value of m, x + 3 is the factor of the polynomial x3 - 2mx + 21?
Answer» For which the value of m, x + 3 is the factor of the polynomial x³ $-$ 2mx + 21?

Discussion

34.	The equation of the plane passing through the line of intersection of the planes 2x−y=0 and 3z−y=0 and perpendicular to the plane 4x+5y−3z=8 is:
Answer» The equation of the plane passing through the line of intersection of the planes $2 x - y = 0$ and $3 z - y = 0$ and perpendicular to the plane $4 x + 5 y - 3 z = 8$ is:

Discussion

35.	Question 7The lateral surface area of a cube is 256 m2. The volume of the cube is:A) 512 m3B) 64 m3C) 216 m3D) 256 m3
Answer» Question 7 The lateral surface area of a cube is $256 m^{2}$ . The volume of the cube is: A) $512 m^{3}$ B) $64 m^{3}$ C) $216 m^{3}$ D) $256 m^{3}$

Discussion

36.	Question 1 (i)ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show thatΔABD≅ΔACD
Answer» Question 1 (i) $Δ$ ABC and $Δ$ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that $Δ A B D ≅ Δ A C D$

Discussion

37.	For the question given below,four alternative choices have been provided of which only one is correct. You have to select the correct choice:In Fig. 1, O is the centre of the circle and ∠OBA = 60°. Then ∠ACB equals:(a) 60°(b) 45°(c) 30°(d) 90°
Answer» For the question given below,four alternative choices have been provided of which only one is correct. You have to select the correct choice: In Fig. 1, O is the centre of the circle and ∠OBA = 60°. Then ∠ACB equals: (a) 60° (b) 45° (c) 30° (d) 90°

Discussion

38.	What is the solution of the graph given below?
Answer» What is the solution of the graph given below?

Discussion

39.	Question 8 The mean of the following frequency distribution is 50 but the frequencies f1 and f2 in classes 20-40 and 60-80, respectively are not known. Find these frequencies, if the sum of all the frequencies is 120. Class0−2020−4040−6060−8080−100Frequency17f132f219
Answer» Question 8 The mean of the following frequency distribution is 50 but the frequencies $f_{1}$ and $f_{2}$ in classes 20-40 and 60-80, respectively are not known. Find these frequencies, if the sum of all the frequencies is 120. $\begin{matrix} C l a s s & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 17 & f_{1} & 32 & f_{2} & 19 \end{matrix}$

Discussion

40.	ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ:QP=3:1. If ar(∆PBQ)=10 square centimetre then find the area of parallelogram ABCD.
Answer» ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ:QP=3:1. If ar(∆PBQ)=10 square centimetre then find the area of parallelogram ABCD.

Discussion

41.	E is the mid-point of the side AD of the trapezium ABCD with AB ∥ DC. A line through E drawn parallel to AB intersects BC at F. Show that F is the mid-point of BC.
Answer» E is the mid-point of the side AD of the trapezium ABCD with AB ∥ DC. A line through E drawn parallel to AB intersects BC at F. Show that F is the mid-point of BC.

Discussion

42.	Question 5 (ii) In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find: (ii) area of the sector formed by the arc
Answer» Question 5 (ii) In a circle of radius 21 cm, an arc subtends an angle of $60^{\circ}$ at the centre. Find: (ii) area of the sector formed by the arc

Discussion

43.	x + 1 is a factor of the polynomial(a) x3 + x2 – x + 1(b) x3 + x2 + x + 1(c) x4 + x3 + x2 + 1(d) x4 + 3x3 + 3x2 + x + 1
Answer» x + 1 is a factor of the polynomial (a) x³ + x²– x + 1 (b) x³ + x² + x + 1 (c) x⁴ + x³ + x² + 1 (d) x⁴ + 3x³ + 3x² + x + 1

Discussion

44.	A container, open from the top and made of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost (in rupees) of the milk which can completely fill the container, at the rate of ₹ 20 per litre.Also, find the cost (in rupees) of metal sheet used to make the container, if it costs ₹ 8 per 100cm2. (Take π = 3.14).
Answer» A container, open from the top and made of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost (in rupees) of the milk which can completely fill the container, at the rate of ₹ 20 per litre. Also, find the cost (in rupees) of metal sheet used to make the container, if it costs ₹ 8 per 100 $c m^{2}$ . (Take $π$ = 3.14).

Discussion

45.	In the given figure ABCD is a parallelogram. If area of parallelogram ABCD = 708 square units, then what is the area of ΔBEC?
Answer» In the given figure ABCD is a parallelogram. If area of parallelogram ABCD = 708 square units, then what is the area of $Δ B E C$ ?

Discussion

46.	If ABCD is a rectangle with ∠BAC=32∘, find the measure of ∠DBC.
Answer» If $A B C D$ is a rectangle with $∠ B A C = 32^{\circ},$ find the measure of $∠ D B C .$

Discussion

47.	3. If the perimeter of a right angeled triangle is 40 cm and the area is 40cm find the length of its hypotenuse.
Answer» 3. If the perimeter of a right angeled triangle is 40 cm and the area is 40cm find the length of its hypotenuse.

Discussion

48.	Find the zeroes of polynomial x³ - x
Answer» Find the zeroes of polynomial x³ - x

Discussion

49.	Find the cube of 2a+12a ( a≠0) .
Answer» Find the cube of $2 a + \frac{1}{2 a}$ ( $a \neq$ 0) .

Discussion

50.	The perimeter of cross section of cube is 28 metres. What is its lateral surface area?
Answer» The perimeter of cross section of cube is 28 metres. What is its lateral surface area?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Anjali spends 85% of her income and donates 9% for charity. If her monthly savings is ₹1860, what is her income?

If both x−2 and x−12 are factors of px2+5x+r, then:

If 3a + 5b + 4c = 0, Find the value of 27a3+125b3+64c3.

30. Find the angle , whose 1 Complement is one sixth of it's supplement 2 Supplement is four times it's complement

In the figure, l, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find ∠1,∠2 and ∠3.

The shape after joining the midpoints of sides of a rhombus will form :

What is the type of triangle that is created when a 60∘ angle construction alone is used?__

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is(a) 2 : 1(b) 1 : 1(c) 2 : 3(d) 1 : 2

Following table shows the birth month of 40 students of class IX. Jan. Feb March April May June July Aug. Sept. Oct. Nov. Dec. 3 4 2 2 5 1 2 5 3 4 4 4 Find the probability that a student was born in August.

AB || CD and tranversal XY meets AB and CD at M &amp; N respectively. If ∠AMX=50∘, then

Please answer me fast What is the number of zeroes in the end of 599!

If →a,→b,→c are non-coplanar unit vectors such that →a×(→b×→c)=(→b+→c)√2, then the angle between →a and →b is

If the angles of a triangle are in arithmetic progression then which of the following will be the property of the triangle?

A ray is reflected in turn by two plane mirrors, inclined at right angle with each other. Find the angle between incident and reflected ray

What is the perimeter of the triangle ACD?

1. Show how under root 5 can be represented on the number line with correct explanation.

In figure,A,B,C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC=130∘ and ∠ECD=20∘. Find ∠BAC (in degrees).

Question 2 (iv)Write first four terms of the A.P. when the first term "a" and the common difference "d" are given as follows.(iv) a=−1, d=12

Rahul wants to mark five points on a sheet of paper. What is the maximum number of points that can be collinear, if he wants to make a triangle by joining those points?

Draw the graph of two lines, whose equations are 3x − 2y + 6 = 0 and x + 2y − 6 = 0 on the same graph paper. Find the area of triangle formed by the two lines and x-axis.

The area of the base of a cone is 16πcm2 and its slant height is 5 cm. The volume of the cone is equal to

How to draw √12 on number line??

In a game of long jump, Ravi jumped 4.77 m, Navi jumped 4.775 m, Sushweta jumped 4.55 m, Shreya jumped 4.65 m, Apurva jumped 4.95 m. (i) Who is the winner of this game?(i) Who is in the second position in this game?

Which one of the given statements is correct

The mid-points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to(a) ar (ΔABC)(b) 12ar (ΔABC)(c) 13ar (ΔABC)(d) 14ar (ΔABC)

If the area of isosceles trapezium whose parallel sides are 38.7 cm and 22.3 cm is 183 root 2 sq.cm, then find its other two non-parallel sides

47. If a number of circles touch a given line segment PQ at a point A then prove that their centres lie on the perpendicular of PQ but don't lie on the bisector or PQ

9. What is the difference between ψ and ψ^2?

In the given parallelogram ABCD, O is mid-point of AB. CO and DO bisect ∠BCD and ∠ADC respectively. find the measure of ∠DOC.

Draw a triangle of sides 4, 5 and 6 centimetres. Divide it into two triangles, one with one-third the area, and the other with two-thirds the area, of the original triangle.

How many secants can be drawn on a circle?

The angle formed on a straight line is ___ (in degrees).

For which the value of m, x + 3 is the factor of the polynomial x3 - 2mx + 21?

The equation of the plane passing through the line of intersection of the planes 2x−y=0 and 3z−y=0 and perpendicular to the plane 4x+5y−3z=8 is:

Question 7The lateral surface area of a cube is 256 m2. The volume of the cube is:A) 512 m3B) 64 m3C) 216 m3D) 256 m3​​​​​​​

Question 1 (i)ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show thatΔABD≅ΔACD

For the question given below,four alternative choices have been provided of which only one is correct. You have to select the correct choice:In Fig. 1, O is the centre of the circle and ∠OBA = 60°. Then ∠ACB equals:(a) 60°(b) 45°(c) 30°(d) 90°

What is the solution of the graph given below?

Question 8 The mean of the following frequency distribution is 50 but the frequencies f1 and f2 in classes 20-40 and 60-80, respectively are not known. Find these frequencies, if the sum of all the frequencies is 120. Class0−2020−4040−6060−8080−100Frequency17f132f219

ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q such that CQ:QP=3:1. If ar(∆PBQ)=10 square centimetre then find the area of parallelogram ABCD.

E is the mid-point of the side AD of the trapezium ABCD with AB ∥ DC. A line through E drawn parallel to AB intersects BC at F. Show that F is the mid-point of BC.

Question 5 (ii) In a circle of radius 21 cm, an arc subtends an angle of 60∘ at the centre. Find: (ii) area of the sector formed by the arc

x + 1 is a factor of the polynomial(a) x3 + x2 – x + 1(b) x3 + x2 + x + 1(c) x4 + x3 + x2 + 1(d) x4 + 3x3 + 3x2 + x + 1

In the given figure ABCD is a parallelogram. If area of parallelogram ABCD = 708 square units, then what is the area of ΔBEC?

If ABCD is a rectangle with ∠BAC=32∘, find the measure of ∠DBC.

3. If the perimeter of a right angeled triangle is 40 cm and the area is 40cm find the length of its hypotenuse.

Find the zeroes of polynomial x³ - x

Find the cube of 2a+12a ( a≠0) .

The perimeter of cross section of cube is 28 metres. What is its lateral surface area?

AB || CD and tranversal XY meets AB and CD at M & N respectively. If ∠AMX=50∘, then

Question 7The lateral surface area of a cube is 256 m2. The volume of the cube is:A) 512 m3B) 64 m3C) 216 m3D) 256 m3