24740 + Interview Questions in Mathematics

1.	Question 1 In a cricket match, a batswoman hits a boundary 6times out of 30 balls she plays. Find the probability that she did not hit a boundary.
Answer» Question 1 In a cricket match, a batswoman hits a boundary 6times out of 30 balls she plays. Find the probability that she did not hit a boundary.

Discussion

2.	If \sqrt{x+1+\sqrt{x-1=2, then the value of x is
Answer» If \sqrt{x+1+\sqrt{x-1=2, then the value of x is

Discussion

3.	In a survey of 300 android mobile users, who make video calls, 75 people said they use only viber, 45 use only skype and 90 people use both. The number of persons who use neither viber nor skype is __.
Answer» In a survey of 300 android mobile users, who make video calls, 75 people said they use only viber, 45 use only skype and 90 people use both. The number of persons who use neither viber nor skype is __.

Discussion

4.	For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.
Answer» For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Discussion

5.	The perimeter of the base of an equilateral triangular prism is 30 cm. The height of the prism is 17 cm. The volume of the prism is _______
Answer» The perimeter of the base of an equilateral triangular prism is 30 cm. The height of the prism is 17 cm. The volume of the prism is _______

Discussion

6.	If the volume and surface area of a sphere are numerically the same, then its radius is __________.
Answer» If the volume and surface area of a sphere are numerically the same, then its radius is __________.

Discussion

7.	Construct a Δ ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
Answer» Construct a Δ ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

Discussion

8.	148. Find perpendicular distance between point (2,3)and line 3x+2y=4
Answer» 148. Find perpendicular distance between point (2,3)and line 3x+2y=4

Discussion

9.	Co-interior angles are always equal or not?
Answer» Co-interior angles are always equal or not?

Discussion

10.	If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.
Answer» If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

Discussion

11.	In which quadrant the value of TanA and value of CosA is positive other than the first quadrant?
Answer» In which quadrant the value of TanA and value of CosA is positive other than the first quadrant?

Discussion

12.	The area of an equilateral triangle is 576 dm2. The length of its median is
Answer» The area of an equilateral triangle is $576 d m^{2} .$ The length of its median is

Discussion

13.	The angles of a quadrilateral are in ratio 1 : 3 : 7 :9 find the measure of each angle.
Answer» The angles of a quadrilateral are in ratio 1 : 3 : 7 :9 find the measure of each angle.

Discussion

14.	Calculate the circumference of a circle that has a radius of 14 cm.
Answer» Calculate the circumference of a circle that has a radius of 14 cm.

Discussion

15.	Vihan spent ₹ 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs ₹ 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?
Answer» Vihan spent ₹ 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs ₹ 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

Discussion

16.	Choose the correct alternative answer for each of the following questions.(1) The ratio of circumference and area of a circle is 2:7. Find its circumference.(A) 14π (B) 7π (C) 7π (D) 14π (2) If measure of an arc of a circle is 160° and its length is 44 cm, find the circumference of the circle.(A) 66 cm (B) 44 cm (C) 160 cm (D) 99 cm(3) Find the perimeter of a sector of a circle if its measure is 90° and radius is 7 cm .(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm(4) Find the curved surface area of a cone of radius 7 cm and height 24 cm.(A) 440 cm2 (B) 550 cm2 (C) 330 cm2 (D) 110 cm2(5) The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.(A) 44πcm (B) 22πcm (C) 44πcm (D) 22π cm (6) A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.(A) 15 cm (B) 10 cm (C) 18 cm (D) 5 cm (7) Find the volume of a cube of side 0.01 cm.(A) 1 cm3 (B) 0.001 cm3 (C) 0.0001 cm3 (D) 0.000001 cm3(8) Find the side of a cube of volume 1 m3 . (A) 1 cm (B) 10 cm (C) 100 cm (D)1000 cm
Answer» Choose the correct alternative answer for each of the following questions. (1) The ratio of circumference and area of a circle is 2:7. Find its circumference. (A) $14 π$ (B) $\frac{7}{π}$ (C) 7 $π$ (D) $\frac{14}{π}$ (2) If measure of an arc of a circle is 160^° and its length is 44 cm, find the circumference of the circle. (A) 66 cm (B) 44 cm (C) 160 cm (D) 99 cm (3) Find the perimeter of a sector of a circle if its measure is 90^° and radius is 7 cm . (A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm (4) Find the curved surface area of a cone of radius 7 cm and height 24 cm. (A) 440 cm² (B) 550 cm² (C) 330 cm²(D) 110 cm² (5) The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height. (A) $\frac{44}{π}$ cm (B) 22 $π$ cm (C) 44 $π$ cm (D) $\frac{22}{π}$ cm (6) A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone. (A) 15 cm (B) 10 cm (C) 18 cm (D) 5 cm (7) Find the volume of a cube of side 0.01 cm. (A) 1 cm³ (B) 0.001 cm³ (C) 0.0001 cm³ (D) 0.000001 cm³ (8) Find the side of a cube of volume 1 m³. (A) 1 cm (B) 10 cm (C) 100 cm (D)1000 cm

Discussion

17.	With reference to the conventional cartesian (x,y) co-ordinate system, the vertices of a triangle have the following coordinates;(x1,y1)=(3,2);(x2,y2)=(4,4);(y3,y3)=(6,5). The area of the triangle is equal to
Answer» With reference to the conventional cartesian (x,y) co-ordinate system, the vertices of a triangle have the following coordinates; $(x_{1}, y_{1}) = (3, 2); (x_{2}, y_{2}) = (4, 4); (y_{3}, y_{3}) = (6, 5) .$ The area of the triangle is equal to

Discussion

18.	If y=√x(x²+7). Find dy/dx
Answer» If y=√x(x²+7). Find dy/dx

Discussion

19.	Question 80(vii)This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.Point A represents a resort that is located 5 km East and 3km North of point B. The values 5 and 3 are the coordinates of point A. The coordinates can be given as the ordered pair (5,3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.List three points on the island with a y-coordinate less than 4.
Answer» Question 80(vii) This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km. Point A represents a resort that is located 5 km East and 3km North of point B. The values 5 and 3 are the coordinates of point A. The coordinates can be given as the ordered pair (5,3), where 5 is the horizontal coordinate and 3 is the vertical coordinate. List three points on the island with a y-coordinate less than 4.

Discussion

20.	Abhishek and his sister Sneha went to a fair in their village. Abhishek spent ₹19 on 2 giant wheel rides and 3 roller coaster rides, while Sneha spent ₹18 on 3 giant wheel rides and 1 roller coaster ride. If the cost per giant wheel ride and roller coaster ride is taken as x and y, respectively, then which of the following graphs represents the cost per giant wheel ride and roller coaster ride correctly?[1 mark]
Answer» Abhishek and his sister Sneha went to a fair in their village. Abhishek spent ₹19 on 2 giant wheel rides and 3 roller coaster rides, while Sneha spent ₹18 on 3 giant wheel rides and 1 roller coaster ride. If the cost per giant wheel ride and roller coaster ride is taken as x and y, respectively, then which of the following graphs represents the cost per giant wheel ride and roller coaster ride correctly? [1 mark]

Discussion

21.	Question 4 In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD =CQ. If AQ intersects DC at P, Show that ar (BPC) = ar (DPQ).
Answer» Question 4 In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD =CQ. If AQ intersects DC at P, Show that ar (BPC) = ar (DPQ).

Discussion

22.	Question 8 (i) ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: ABCD is a square
Answer» Question 8 (i) ABCD is a rectangle in which diagonal AC bisects $∠ A$ as well as $∠ C$ . Show that: ABCD is a square

Discussion

23.	Question 115 With the decrease in prices of tea by 15 %, Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs. 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?
Answer» Question 115 With the decrease in prices of tea by 15 %, Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs. 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?

23.

Question 115 With the decrease in prices of tea by 15 %, Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs. 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?

Answer»

Question 115

With the decrease in prices of tea by 15 %, Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs. 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?

Discussion

24.	A point is at a distance of 4 units from the x-axis and 2 units from the y-axis. How many values of 'x' exist?2
Answer» A point is at a distance of 4 units from the x-axis and 2 units from the y-axis. How many values of 'x' exist? 2

Discussion

25.	Question 1 (g)State whether true or false.(g) All parallelograms are trapeziums.
Answer» Question 1 (g) State whether true or false. (g) All parallelograms are trapeziums.

25.

Question 1 (g)State whether true or false.(g) All parallelograms are trapeziums.

Answer»

Question 1 (g)

State whether true or false.

(g) All parallelograms are trapeziums.

Discussion

26.	Factorize: 4(x−y)2+12(x−y)(x+y)+9(x+y)2
Answer» Factorize: $4 (x - y)^{2} + 12 (x - y) (x + y) + 9 (x + y)^{2}$

26.

Factorize: 4(x−y)2+12(x−y)(x+y)+9(x+y)2

Answer»

Factorize:

$4 (x - y)^{2} + 12 (x - y) (x + y) + 9 (x + y)^{2}$

Discussion

27.	Commutative property holds true for which operations on whole numbers?
Answer» Commutative property holds true for which operations on whole numbers?

Discussion

28.	Which of the following statements is true?
Answer» Which of the following statements is true?

Discussion

29.	Find the value ofcot230∘+8sin245∘+32sec230∘+2cos290∘2sec60∘+3cosec30∘−73tan260∘
Answer» Find the value of $\frac{c o t^{2} 30^{\circ} + 8 s i n^{2} 45^{\circ} + \frac{3}{2} s e c^{2} 30^{\circ} + 2 c o s^{2} 90^{\circ}}{2 s e c 60^{\circ} + 3 c o s e c 30^{\circ} - \frac{7}{3} t a n^{2} 60^{\circ}}$

Discussion

30.	The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Find the maximum number of girls belong to which height group.ii) Find the difference between the number of boys to the number of girls.
Answer» The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Find the maximum number of girls belong to which height group. ii) Find the difference between the number of boys to the number of girls.

30.

The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Find the maximum number of girls belong to which height group.ii) Find the difference between the number of boys to the number of girls.

Answer»

The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution.

i) Find the maximum number of girls belong to which height group.

ii) Find the difference between the number of boys to the number of girls.

Discussion

31.	Find the value of x?
Answer» Find the value of x?

31.

Find the value of x?

Answer»

Find the value of x?

Discussion

32.	Tell my mentor mr.agni to call me
Answer» Tell my mentor mr.agni to call me

Discussion

33.	PQRS is a square such that PR and SQ intersect at O. State the measure of ∠POQ.
Answer» PQRS is a square such that PR and SQ intersect at O. State the measure of ∠POQ.

Discussion

34.	Question 97 State whether the statement is True or False. . If a, b, and c are integers and b ≠ 0, then a×(b−c)=a×b−a×c
Answer» Question 97 State whether the statement is True or False. . If a, b, and c are integers and b $\neq$ 0, then $a \times (b - c) = a \times b - a \times c$

34.

Question 97 State whether the statement is True or False. . If a, b, and c are integers and b ≠ 0, then a×(b−c)=a×b−a×c

Answer»

Question 97

State whether the statement is True or False.

.
If a, b, and c are integers and b $\neq$ 0, then $a \times (b - c) = a \times b - a \times c$

Discussion

35.	If 2x+ 1 is a factor of 4x ^ 2-kx-k, find the value of k.
Answer» If 2x+ 1 is a factor of 4x ^ 2-kx-k, find the value of k.

Discussion

36.	A circle has a radius 8 cm. Find the length of the longest chord of this circle.
Answer» A circle has a radius 8 cm. Find the length of the longest chord of this circle.

Discussion

37.	Nidhi constructed a square pyramid of base edge 10 cm and height 6 cm. Rahul made a square pyramid of base edge 5 cm and height 24 cm. What is the ratio of the volumes of the pyramids constructed by Nidhi and Rahul?
Answer» Nidhi constructed a square pyramid of base edge 10 cm and height 6 cm. Rahul made a square pyramid of base edge 5 cm and height 24 cm. What is the ratio of the volumes of the pyramids constructed by Nidhi and Rahul?

Discussion

38.	Prove that:(i) a+b+ca-1b-1+b-1c-1+c-1a-1=abc(ii) a-1+b-1-1=aba+b
Answer» Prove that: (i) $\frac{a + b + c}{a^{- 1} b^{- 1} + b^{- 1} c^{- 1} + c^{- 1} a^{- 1}} = a b c$ (ii) ${(a^{- 1} + b^{- 1})}^{- 1} = \frac{a b}{a + b}$

Discussion

39.	Prove that the line segment joining the point of contact of two parallel †an gents to a circle is a diameter of the circle
Answer» Prove that the line segment joining the point of contact of two parallel †an gents to a circle is a diameter of the circle

Discussion

40.	Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.(1,2), (2,4), (3,6), (4,8)
Answer» Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order. (1,2), (2,4), (3,6), (4,8)

Discussion

41.	y3 − 7y + 6
Answer» y³ − 7y + 6

Discussion

42.	10, 18, and x are the measure of sides of a triangle. Find the range of values of x.
Answer» 10, 18, and x are the measure of sides of a triangle. Find the range of values of x.

Discussion

43.	(9×10−2)+(9×103) in usual form is given by
Answer» $(9 \times 10^{- 2}) + (9 \times 10^{3})$ in usual form is given by

Discussion

44.	How much time will it take for an amount of ₹ 450 to yield an interest of ₹ 81 at 4.5% per annum simple interest?
Answer» How much time will it take for an amount of ₹ 450 to yield an interest of ₹ 81 at 4.5% per annum simple interest?

Discussion

45.	1. Discuss in class the shrines you have visited or know about. Speak about one of them. 2. Imagine you are giving an eyewitness account or a running commentary of one of the following: (i) a game of football, cricket or hockey, or some sports event (ii) a parade (e.g. Republic Day) or some other national event Speak a few sentences narrating what you see and hear. Use the simple present and the present continuous tenses. For example: • He passes the ball but Ben gets in the way... • These brave soldiers guard our frontiers. They display their skills here...
Answer» 1. Discuss in class the shrines you have visited or know about. Speak about one of them. 2. Imagine you are giving an eyewitness account or a running commentary of one of the following: (i) a game of football, cricket or hockey, or some sports event (ii) a parade (e.g. Republic Day) or some other national event Speak a few sentences narrating what you see and hear. Use the simple present and the present continuous tenses. For example: • He passes the ball but Ben gets in the way... • These brave soldiers guard our frontiers. They display their skills here...

45.

1. Discuss in class the shrines you have visited or know about. Speak about one of them. 2. Imagine you are giving an eyewitness account or a running commentary of one of the following: (i) a game of football, cricket or hockey, or some sports event (ii) a parade (e.g. Republic Day) or some other national event Speak a few sentences narrating what you see and hear. Use the simple present and the present continuous tenses. For example: • He passes the ball but Ben gets in the way... • These brave soldiers guard our frontiers. They display their skills here...

Answer»

1. Discuss in class the shrines you have visited or know about. Speak about one of them.

2. Imagine you are giving an eyewitness account or a running commentary of one of the following:

(i) a game of football, cricket or hockey, or some sports event

(ii) a parade (e.g. Republic Day) or some other national event

Speak a few sentences narrating what you see and hear. Use the simple present and the present continuous tenses. For example:

• He passes the ball but Ben gets in the way...

• These brave soldiers guard our frontiers. They display their skills here...

Discussion

46.	If AB is a chord of a circle, P and Q are the two points on the circle different from A and B, then
Answer» If AB is a chord of a circle, P and Q are the two points on the circle different from A and B, then

Discussion

47.	Six years hence, Rahul's age will be three times his son's age and three years ago, he was nine times as old as his son.What is Rahul's present age?
Answer» Six years hence, Rahul's age will be three times his son's age and three years ago, he was nine times as old as his son.What is Rahul's present age?

Discussion

48.	The trigonometric ratio that connects the opposite side to adjacent side in a right-angled triangle is .
Answer» The trigonometric ratio that connects the opposite side to adjacent side in a right-angled triangle is .

Discussion

49.	Question 46A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR=90∘. Then, PQRS is aa) Squareb) Rectanglec) Rhombusd) Trapezium
Answer» Question 46 A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and $∠ P Q R = 90^{\circ}$ . Then, PQRS is a a) Square b) Rectangle c) Rhombus d) Trapezium

Discussion

50.	The zeroes of the polynomial x^2+5x-24 are
Answer» The zeroes of the polynomial x^2+5x-24 are

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 1 In a cricket match, a batswoman hits a boundary 6times out of 30 balls she plays. Find the probability that she did not hit a boundary.

If \sqrt{x+1+\sqrt{x-1=2, then the value of x is

In a survey of 300 android mobile users, who make video calls, 75 people said they use only viber, 45 use only skype and 90 people use both. The number of persons who use neither viber nor skype is __.

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

The perimeter of the base of an equilateral triangular prism is 30 cm. The height of the prism is 17 cm. The volume of the prism is _______

If the volume and surface area of a sphere are numerically the same, then its radius is __________.

Construct a Δ ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

148. Find perpendicular distance between point (2,3)and line 3x+2y=4

Co-interior angles are always equal or not?

If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

In which quadrant the value of TanA and value of CosA is positive other than the first quadrant?

The area of an equilateral triangle is 576 dm2. The length of its median is

The angles of a quadrilateral are in ratio 1 : 3 : 7 :9 find the measure of each angle.

Calculate the circumference of a circle that has a radius of 14 cm.

Vihan spent ₹ 132 to buy movie tickets for 20 children and 4 adults. Each adult ticket costs ₹ 3 more than the child ticket. If A is the price of an adult ticket and S is the price of a child ticket, which system of equations could be used to find the price of each adult and child ticket?

With reference to the conventional cartesian (x,y) co-ordinate system, the vertices of a triangle have the following coordinates;(x1,y1)=(3,2);(x2,y2)=(4,4);(y3,y3)=(6,5). The area of the triangle is equal to

If y=√x(x²+7). Find dy/dx

Question 4 In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD =CQ. If AQ intersects DC at P, Show that ar (BPC) = ar (DPQ).

Question 8 (i) ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: ABCD is a square

Question 115 With the decrease in prices of tea by 15 %, Tonu, the chaiwallah, was able to buy 2 kg more of tea with the same Rs. 45 that he spent each month on buying tea leaves for his chai shop. What was the reduced price of tea? What was the original price of tea?

A point is at a distance of 4 units from the x-axis and 2 units from the y-axis. How many values of 'x' exist?2

Question 1 (g)State whether true or false.(g) All parallelograms are trapeziums.

Factorize: 4(x−y)2+12(x−y)(x+y)+9(x+y)2

Commutative property holds true for which operations on whole numbers?

Which of the following statements is true?

Find the value ofcot230∘+8sin245∘+32sec230∘+2cos290∘2sec60∘+3cosec30∘−73tan260∘

The red line indicates the girl's height distribution. The blue line indicates the boy's height distribution. i) Find the maximum number of girls belong to which height group.ii) Find the difference between the number of boys to the number of girls.

Find the value of x?

Tell my mentor mr.agni to call me

PQRS is a square such that PR and SQ intersect at O. State the measure of ∠POQ.

Question 97 State whether the statement is True or False. . If a, b, and c are integers and b ≠ 0, then a×(b−c)=a×b−a×c

If 2x+ 1 is a factor of 4x ^ 2-kx-k, find the value of k.

A circle has a radius 8 cm. Find the length of the longest chord of this circle.

Nidhi constructed a square pyramid of base edge 10 cm and height 6 cm. Rahul made a square pyramid of base edge 5 cm and height 24 cm. What is the ratio of the volumes of the pyramids constructed by Nidhi and Rahul?

Prove that:(i) a+b+ca-1b-1+b-1c-1+c-1a-1=abc(ii) a-1+b-1-1=aba+b

Prove that the line segment joining the point of contact of two parallel †an gents to a circle is a diameter of the circle

Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.(1,2), (2,4), (3,6), (4,8)

y3 − 7y + 6

10, 18, and x are the measure of sides of a triangle. Find the range of values of x.

(9×10−2)+(9×103) in usual form is given by

How much time will it take for an amount of ₹ 450 to yield an interest of ₹ 81 at 4.5% per annum simple interest?

If AB is a chord of a circle, P and Q are the two points on the circle different from A and B, then

Six years hence, Rahul's age will be three times his son's age and three years ago, he was nine times as old as his son.What is Rahul's present age?

The trigonometric ratio that connects the opposite side to adjacent side in a right-angled triangle is .

Question 46A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR=90∘. Then, PQRS is aa) Squareb) Rectanglec) Rhombusd) Trapezium

The zeroes of the polynomial x^2+5x-24 are