32581 + Interview Questions in Mathematics

1.	Question 95 How much more percent seats were won by X as compared to Y in assembly election in the state based on the data given below? Party Won(out of 294) X 158 Y 105 Z 18 W 13
Answer» Question 95 How much more percent seats were won by X as compared to Y in assembly election in the state based on the data given below? $\begin{matrix} Party Won(out of 294) X 158 Y 105 Z 18 W 13 \end{matrix}$

1.

Question 95 How much more percent seats were won by X as compared to Y in assembly election in the state based on the data given below? Party Won(out of 294) X 158 Y 105 Z 18 W 13

Answer»

Question 95

How much more percent seats were won by X as compared to Y in assembly election in the state based on the data given below?

$\begin{matrix} Party Won(out of 294) X 158 Y 105 Z 18 W 13 \end{matrix}$

Discussion

2.	A sailor goes 8 km downstream in 40 minutes and returns in 1 hour.Find the speed of the sailor in still water and the speed of the current.
Answer» A sailor goes 8 km downstream in 40 minutes and returns in 1 hour.Find the speed of the sailor in still water and the speed of the current.

Discussion

3.	A man buys Rs 20 share at a premium of Rs 10 share. If the company pays 9% dividend, find the percentage return on his investment in buying 200 shares.
Answer» A man buys Rs 20 share at a premium of Rs 10 share. If the company pays $9 %$ dividend, find the percentage return on his investment in buying 200 shares.

Discussion

4.	Find the sum of the first 25 terms of an A.P. whose nth term is given by an=7−3n.
Answer» Find the sum of the first 25 terms of an A.P. whose nth term is given by $a_{n} = 7 - 3 n$ .

Discussion

5.	In a triangle ABC AD is perpendicular to BC such that AB squared is equal to BD into CD prove that ABC is a right triangle right angle at A
Answer» In a triangle ABC AD is perpendicular to BC such that AB squared is equal to BD into CD prove that ABC is a right triangle right angle at A

Discussion

6.	If 17th term of an A.P. exceeds the 13th term by 15 , find common difference.
Answer» If 17th term of an A.P. exceeds the 13th term by 15 , find common difference.

Discussion

7.	Draw a circle of any radius. From a point outside the circle, draw tangents to the circle inclined at 45∘ to each other.
Answer» Draw a circle of any radius. From a point outside the circle, draw tangents to the circle inclined at 45 $^{\circ}$ to each other.

Discussion

8.	Find the LCM and HCF of 336 and 54 and verify that LCM × HCF=product of the two numbers.
Answer» Find the LCM and HCF of 336 and 54 and verify that LCM $\times$ HCF=product of the two numbers.

Discussion

9.	Question 3 (viii) In an AP: (viii) Given an=4, d = 2, Sn=−14, find n and a.
Answer» Question 3 (viii) In an AP: (viii) Given $a_{n} = 4$ , d = 2, $S_{n} = - 14$ , find n and a.

Discussion

10.	Question 1 (ii) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (ii) 2x2+x−4=0
Answer» Question 1 (ii) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (ii) $2 x^{2} + x - 4 = 0$

Discussion

11.	Ms. Chawla goes to a shop to buy a leather coat which costs Rs 735.The rate of sales tax is 5%. She tells the shopkeeper to reduce the price of the coat, such that she has to pay only Rs 735 inclusive of sales tax. Find the reduction needed in the price of the coat?
Answer» Ms. Chawla goes to a shop to buy a leather coat which costs Rs 735.The rate of sales tax is 5%. She tells the shopkeeper to reduce the price of the coat, such that she has to pay only Rs 735 inclusive of sales tax. Find the reduction needed in the price of the coat?

Discussion

12.	In the given figure, ABC and CEF are two triangles where BA is parallel to CE and AF : AC = 5 : 8. [3 MARKS] i) Prove that ΔADF∼ΔCEF ii) Find AD, if CE = 6 cm iii) If DF is parallel to BC, find area of ΔADF : area of ΔABC
Answer» In the given figure, ABC and CEF are two triangles where BA is parallel to CE and AF : AC = 5 : 8. [3 MARKS] i) Prove that $Δ A D F \sim Δ C E F$ ii) Find AD, if CE = 6 cm iii) If DF is parallel to BC, find area of $Δ A D F$ : area of $Δ A B C$

Discussion

13.	A man 'a' goes from his home to somewhere with the speed of 40km/hr. After 15 min, second man 'b' also starts his journey from 'a' house with the speed of 45km/hr and he decided to overtake 'a'. At what distance from 'a' house he travels to overtake 'a' and what time he takes to overtake him
Answer» A man 'a' goes from his home to somewhere with the speed of 40km/hr. After 15 min, second man 'b' also starts his journey from 'a' house with the speed of 45km/hr and he decided to overtake 'a'. At what distance from 'a' house he travels to overtake 'a' and what time he takes to overtake him

Discussion

14.	When any natural number is divided by 10 what is the sum of all possible reminders?
Answer» When any natural number is divided by 10 what is the sum of all possible reminders?

Discussion

15.	What is induction method used in real numbers
Answer» What is induction method used in real numbers

Discussion

16.	If α and β are zeros of x2−3x−2 then find quadratic polynomial whose zeros are 1)12α+β and 12β+α 2)α−1α+1 and β−1β+1
Answer» If $α$ and $β$ are zeros of $x^{2} - 3 x - 2$ then find quadratic polynomial whose zeros are $1) \frac{1}{2} α + β$ and $\frac{1}{2} β + α$ $2) α - \frac{1}{α} + 1$ and $β - \frac{1}{β} + 1$

Discussion

17.	Two dice are thrown simultaneously. Probability of getting a prime number on both the dice is:
Answer» Two dice are thrown simultaneously. Probability of getting a prime number on both the dice is:

Discussion

18.	For the data 1, 5, 7, + 1, 9, – 2, 3, if the mean is 4. Find the value of . Using this value of , also find mode.
Answer» For the data 1, 5, 7, + 1, 9, – 2, 3, if the mean is 4. Find the value of . Using this value of , also find mode.

Discussion

19.	In a rectangle ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively and T is the point on RS such that RT = 2TS. If the area of ABCD is 'k' times the area of ∆PQT then 'k' is
Answer» In a rectangle ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively and T is the point on RS such that RT = 2TS. If the area of ABCD is 'k' times the area of ∆PQT then 'k' is

Discussion

20.	Find the area of a quadrilateral ABCD, the coordinates of whose vertices are A(−3,2),B(5,4),C(7,−6) and D(−5,−4).
Answer» Find the area of a quadrilateral $A B C D$ , the coordinates of whose vertices are $A (- 3, 2), B (5, 4), C (7, - 6)$ and $D (- 5, - 4)$ .

Discussion

21.	Find the sum of first n antural numbers.
Answer» Find the sum of first n antural numbers.

Discussion

22.	For a given data with 70 observations, the less than o give and the more than o give intersect at ( 20.5, 35 ). What is the median of the data?
Answer» For a given data with 70 observations, the less than o give and the more than o give intersect at ( 20.5, 35 ). What is the median of the data?

Discussion

23.	Find the value for k which each of the following systems of equations has a unique solution: x−ky=2,3x+2y+5=0.
Answer» Find the value for k which each of the following systems of equations has a unique solution: $x - k y = 2, 3 x + 2 y + 5 = 0.$

23.

Find the value for k which each of the following systems of equations has a unique solution: x−ky=2,3x+2y+5=0.

Answer»

Find the value for k which each of the following systems of equations has a unique solution:

$x - k y = 2, 3 x + 2 y + 5 = 0.$

Discussion

24.	A line intersects the y axis and x axis at the points P and Q respectively.If (2,-5) is the mid point of PQ,then find the cordinates of P and Q.
Answer» A line intersects the y axis and x axis at the points P and Q respectively.If (2,-5) is the mid point of PQ,then find the cordinates of P and Q.

Discussion

25.	Solve the question: −4+(−1)+2+5+..+x = 437.
Answer» Solve the question: $- 4$ + $(- 1)$ + $2 + 5 + . . + x$ = $437$ .

Discussion

26.	The sum of three terms in A.P. is 15. If sum of their squares is 77 , find the three numbers.
Answer» The sum of three terms in A.P. is 15. If sum of their squares is 77 , find the three numbers.

Discussion

27.	The probability of picking the letter K if you pick a random letter from the word TREKKING is x4. x is ___
Answer» The probability of picking the letter K if you pick a random letter from the word TREKKING is $\frac{x}{4}$ . x is ___

Discussion

28.	Three circles touch each other externally. A triangle is formed when the centres of these circles are joined together. Find the radii of the circles, if the sides fo the triangle formed are 6 cm, 8 cm and 9 cm.
Answer» Three circles touch each other externally. A triangle is formed when the centres of these circles are joined together. Find the radii of the circles, if the sides fo the triangle formed are 6 cm, 8 cm and 9 cm.

Discussion

29.	If I do the following constructions step by step, what will be the angles constructed (in degrees)? Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, ∠AOB is __.
Answer» If I do the following constructions step by step, what will be the angles constructed (in degrees)? Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, $∠ A O B$ is __.

29.

If I do the following constructions step by step, what will be the angles constructed (in degrees)? Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, ∠AOB is __.

Answer»

If I do the following constructions step by step, what will be the angles constructed (in degrees)?

Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, $∠ A O B$ is __.

Discussion

30.	Without using tables evaluate 3 cos 800. cosec 100 + 2 sin 590 sec 310
Answer» Without using tables evaluate 3 cos 80⁰. cosec 10⁰ + 2 sin 59⁰ sec 31⁰

Discussion

31.	Find a quadratic polynomial whose sum and product of zeroes are -4 & 3 respectively. [1 MARK]
Answer» Find a quadratic polynomial whose sum and product of zeroes are -4 & 3 respectively. [1 MARK]

Discussion

32.	ABCD is a rectangle whose three vertices are B(4,0), C(4, 3) and D(0,3). The length of one of its diagonals is (a) 5 (b) 4 (c) 3 (d) 25
Answer» ABCD is a rectangle whose three vertices are B(4,0), C(4, 3) and D(0,3). The length of one of its diagonals is (a) 5 (b) 4 (c) 3 (d) 25

32.

ABCD is a rectangle whose three vertices are B(4,0), C(4, 3) and D(0,3). The length of one of its diagonals is (a) 5 (b) 4 (c) 3 (d) 25

Answer»

ABCD is a rectangle whose three vertices are B(4,0), C(4, 3) and D(0,3). The length of one of its diagonals is

(a) 5 (b) 4 (c) 3 (d) 25

Discussion

33.	Prove the following trigonometric identities: cos2θsin θ−cosec θ+sin θ=0
Answer» Prove the following trigonometric identities: $\frac{c o s^{2} θ}{s i n θ} - c o s e c θ + s i n θ = 0$

33.

Prove the following trigonometric identities: cos2θsin θ−cosec θ+sin θ=0

Answer»

Prove the following trigonometric identities:

$\frac{c o s^{2} θ}{s i n θ} - c o s e c θ + s i n θ = 0$

Discussion

34.	Solve each of the following systems of equations by the method of cross-multiplication: 5ax+6by=28 3ax+4by=18
Answer» Solve each of the following systems of equations by the method of cross-multiplication: 5ax+6by=28 3ax+4by=18

34.

Solve each of the following systems of equations by the method of cross-multiplication: 5ax+6by=28 3ax+4by=18

Answer»

Solve each of the following systems of equations by the method of cross-multiplication:

5ax+6by=28

3ax+4by=18

Discussion

35.	The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour? [4 MARKS]
Answer» The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour? [4 MARKS]

Discussion

36.	If 6 men and 2 women can finish the work in 12 days.Then in how many days 9 men and 3 women can finish the work?
Answer» If 6 men and 2 women can finish the work in 12 days.Then in how many days 9 men and 3 women can finish the work?

Discussion

37.	Question 18 A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is (a) Rs. 27562.50 (b) Rs. 25000 (c) Rs. 24937.50 (d) Rs. 26245
Answer» Question 18 A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is (a) Rs. 27562.50 (b) Rs. 25000 (c) Rs. 24937.50 (d) Rs. 26245

37.

Question 18 A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is (a) Rs. 27562.50 (b) Rs. 25000 (c) Rs. 24937.50 (d) Rs. 26245

Answer»

Question 18

A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is
(a) Rs. 27562.50
(b) Rs. 25000
(c) Rs. 24937.50
(d) Rs. 26245

Discussion

38.	Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.
Answer» Find the $31^{s t}$ term of an AP whose $11^{t h}$ term is 38 and the $16^{t h}$ term is 73.

Discussion

39.	The largest sphere is to be curved out of a right circular cylinder of radius 7 cm.and height 14 cm. Find the volume of the sphere.
Answer» The largest sphere is to be curved out of a right circular cylinder of radius 7 cm.and height 14 cm. Find the volume of the sphere.

Discussion

40.	If the number 1.2.22.23.24...........220.3.32.33.34........310 is written in power of '6' then the highest power of '6' is _____.
Answer» $If the number {1.2.2}^{2} {.2}^{3} {.2}^{4} . . . . . . . . . . {.2}^{20} . {3.3}^{2} {.3}^{3} {.3}^{4} . . . . . . . {.3}^{10}$ $is written in power of '6' then the highest$ $power of '6' is _____.$

Discussion

41.	A part of monthly hostel charges in a college hostel is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 25 days, he has to pay Rs.4500, whereas a student B who takes food for 30 days, he has to pay Rs.5200. Find the fixed charges per month and the cost of the food per day.
Answer» A part of monthly hostel charges in a college hostel is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 25 days, he has to pay Rs.4500, whereas a student B who takes food for 30 days, he has to pay Rs.5200. Find the fixed charges per month and the cost of the food per day.

Discussion

42.	In the given figure, AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm then the length of AP is (a) 15 cm (b) 10 cm (c) 9 cm (d) 7.5 cm
Answer» In the given figure, AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm then the length of AP is (a) 15 cm (b) 10 cm (c) 9 cm (d) 7.5 cm

42.

In the given figure, AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm then the length of AP is (a) 15 cm (b) 10 cm (c) 9 cm (d) 7.5 cm

Answer»

In the given figure, AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm then the length of AP is

(a) 15 cm (b) 10 cm (c) 9 cm (d) 7.5 cm

Discussion

43.	One card is drawn from a well- shuffled deck of 52 cards. Find the probability of drawing (i) an ace (ii) a '4' of spades (iii) a '9' of a black suit (iv) a red king.
Answer» One card is drawn from a well- shuffled deck of 52 cards. Find the probability of drawing (i) an ace (ii) a '4' of spades (iii) a '9' of a black suit (iv) a red king.

Discussion

44.	If a vector →x makes angles with measure π4 and 5π4 with positive directions of X-axis and Y-axis respectively, then →x made angle of measure ________ with positive direction of Z-axis.
Answer» If a vector $\to x$ makes angles with measure $\frac{π}{4}$ and $\frac{5 π}{4}$ with positive directions of X-axis and Y-axis respectively, then $\to x$ made angle of measure ________ with positive direction of Z-axis.

Discussion

45.	Question 1 If cosec θ+cot θ=p, then prove that cos θ=p2−1p2+1.
Answer» Question 1 If $c o s e c θ + c o t θ = p$ , then prove that $c o s θ = \frac{p^{2} - 1}{p^{2} + 1}$ .

Discussion

46.	What is the area of a circle with radius r units?
Answer» What is the area of a circle with radius r units?

Discussion

47.	27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere.The radius of the single big sphere(in cm) is______.
Answer» 27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere.The radius of the single big sphere(in cm) is______.

Discussion

48.	Resham wanted to save at least Rs.6500 for sending her daughter to school next year (after 12 months). She saved Rs.450 in the first month and raised her savings by Rs.20 every next month. How much will she be able to save in next 12 months ? Will she be able to send her daughter to the school next year?
Answer» Resham wanted to save at least Rs.6500 for sending her daughter to school next year (after 12 months). She saved Rs.450 in the first month and raised her savings by Rs.20 every next month. How much will she be able to save in next 12 months ? Will she be able to send her daughter to the school next year?

Discussion

49.	A clown’s cap is in the shape of a cone of height 8cm and diameter 12cm. A cut is made from the apex of the cone such that slant height of the newly formed cone is 5cm. Find the ratio of volume of the frustum of the cone formed due to the cut to the volume of the cap.
Answer» A clown’s cap is in the shape of a cone of height 8cm and diameter 12cm. A cut is made from the apex of the cone such that slant height of the newly formed cone is 5cm. Find the ratio of volume of the frustum of the cone formed due to the cut to the volume of the cap.

Discussion

50.	Between two rational numbers,
Answer» Between two rational numbers,

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 95 How much more percent seats were won by X as compared to Y in assembly election in the state based on the data given below? Party Won(out of 294) X 158 Y 105 Z 18 W 13

A sailor goes 8 km downstream in 40 minutes and returns in 1 hour.Find the speed of the sailor in still water and the speed of the current.

A man buys Rs 20 share at a premium of Rs 10 share. If the company pays 9% dividend, find the percentage return on his investment in buying 200 shares.

Find the sum of the first 25 terms of an A.P. whose nth term is given by an=7−3n.

In a triangle ABC AD is perpendicular to BC such that AB squared is equal to BD into CD prove that ABC is a right triangle right angle at A

If 17th term of an A.P. exceeds the 13th term by 15 , find common difference.

Draw a circle of any radius. From a point outside the circle, draw tangents to the circle inclined at 45∘ to each other.

Find the LCM and HCF of 336 and 54 and verify that LCM × HCF=product of the two numbers.

Question 3 (viii) In an AP: (viii) Given an=4, d = 2, Sn=−14, find n and a.

Question 1 (ii) Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (ii) 2x2+x−4=0

Ms. Chawla goes to a shop to buy a leather coat which costs Rs 735.The rate of sales tax is 5%. She tells the shopkeeper to reduce the price of the coat, such that she has to pay only Rs 735 inclusive of sales tax. Find the reduction needed in the price of the coat?

In the given figure, ABC and CEF are two triangles where BA is parallel to CE and AF : AC = 5 : 8. [3 MARKS] i) Prove that ΔADF∼ΔCEF ii) Find AD, if CE = 6 cm iii) If DF is parallel to BC, find area of ΔADF : area of ΔABC

A man 'a' goes from his home to somewhere with the speed of 40km/hr. After 15 min, second man 'b' also starts his journey from 'a' house with the speed of 45km/hr and he decided to overtake 'a'. At what distance from 'a' house he travels to overtake 'a' and what time he takes to overtake him

When any natural number is divided by 10 what is the sum of all possible reminders?

What is induction method used in real numbers

If α and β are zeros of x2−3x−2 then find quadratic polynomial whose zeros are 1)12α+β and 12β+α 2)α−1α+1 and β−1β+1

Two dice are thrown simultaneously. Probability of getting a prime number on both the dice is:

For the data 1, 5, 7, + 1, 9, – 2, 3, if the mean is 4. Find the value of . Using this value of , also find mode.

In a rectangle ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively and T is the point on RS such that RT = 2TS. If the area of ABCD is 'k' times the area of ∆PQT then 'k' is

Find the area of a quadrilateral ABCD, the coordinates of whose vertices are A(−3,2),B(5,4),C(7,−6) and D(−5,−4).

Find the sum of first n antural numbers.

For a given data with 70 observations, the less than o give and the more than o give intersect at ( 20.5, 35 ). What is the median of the data?

Find the value for k which each of the following systems of equations has a unique solution: x−ky=2,3x+2y+5=0.

A line intersects the y axis and x axis at the points P and Q respectively.If (2,-5) is the mid point of PQ,then find the cordinates of P and Q.

Solve the question: −4+(−1)+2+5+..+x = 437.

The sum of three terms in A.P. is 15. If sum of their squares is 77 , find the three numbers.

The probability of picking the letter K if you pick a random letter from the word TREKKING is x4. x is ___

Three circles touch each other externally. A triangle is formed when the centres of these circles are joined together. Find the radii of the circles, if the sides fo the triangle formed are 6 cm, 8 cm and 9 cm.

Without using tables evaluate 3 cos 800. cosec 100 + 2 sin 590 sec 310

Find a quadratic polynomial whose sum and product of zeroes are -4 &amp; 3 respectively. [1 MARK]

ABCD is a rectangle whose three vertices are B(4,0), C(4, 3) and D(0,3). The length of one of its diagonals is (a) 5 (b) 4 (c) 3 (d) 25

Prove the following trigonometric identities: cos2θsin θ−cosec θ+sin θ=0

Solve each of the following systems of equations by the method of cross-multiplication: 5ax+6by=28 3ax+4by=18

The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour? [4 MARKS]

If 6 men and 2 women can finish the work in 12 days.Then in how many days 9 men and 3 women can finish the work?

Question 18 A TV set was bought for Rs 26250 including 5% VAT. The original price of the TV set is (a) Rs. 27562.50 (b) Rs. 25000 (c) Rs. 24937.50 (d) Rs. 26245

Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm.and height 14 cm. Find the volume of the sphere.

If the number 1.2.22.23.24...........220.3.32.33.34........310 is written in power of '6' then the highest power of '6' is _____.

In the given figure, AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm then the length of AP is (a) 15 cm (b) 10 cm (c) 9 cm (d) 7.5 cm

One card is drawn from a well- shuffled deck of 52 cards. Find the probability of drawing (i) an ace (ii) a '4' of spades (iii) a '9' of a black suit (iv) a red king.

If a vector →x makes angles with measure π4 and 5π4 with positive directions of X-axis and Y-axis respectively, then →x made angle of measure ________ with positive direction of Z-axis.

Question 1 If cosec θ+cot θ=p, then prove that cos θ=p2−1p2+1.

What is the area of a circle with radius r units?

27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere.The radius of the single big sphere(in cm) is______.

A clown’s cap is in the shape of a cone of height 8cm and diameter 12cm. A cut is made from the apex of the cone such that slant height of the newly formed cone is 5cm. Find the ratio of volume of the frustum of the cone formed due to the cut to the volume of the cap.

Between two rational numbers,

Find a quadratic polynomial whose sum and product of zeroes are -4 & 3 respectively. [1 MARK]