32581 + Interview Questions in Mathematics Page 60 InterviewSolution

2951.	Ashok and Sandeep invested Rs 18000 each in buying shares of two different companies, Ashok buys 7.5%. Rs 100 share at a discount of 20%, whereas Sandeep buys Rs 50 share at a premium of 20%. If both receive equal dividend at the end of the year, then find the rate of dividend received by Sandeep.
Answer» Ashok and Sandeep invested Rs 18000 each in buying shares of two different companies, Ashok buys 7.5%. Rs 100 share at a discount of 20%, whereas Sandeep buys Rs 50 share at a premium of 20%. If both receive equal dividend at the end of the year, then find the rate of dividend received by Sandeep.

Discussion

2952.	Question 59State whether the following statement is true or false:Two cylinders with equal volume will always have equal surface area.
Answer» Question 59 State whether the following statement is true or false: Two cylinders with equal volume will always have equal surface area.

2952.

Question 59State whether the following statement is true or false:Two cylinders with equal volume will always have equal surface area.

Answer»

Question 59

State whether the following statement is true or false:

Two cylinders with equal volume will always have equal surface area.

Discussion

2953.	Find the median term of the following cumulative frequency distribution:xfrequencyCumulative frequency221134233925458135482156930684347843884240
Answer» Find the median term of the following cumulative frequency distribution: $\begin{matrix} x & frequency & Cumulative frequency 22 & 1 & 1 34 & 2 & 3 39 & 2 & 5 45 & 8 & 13 54 & 8 & 21 56 & 9 & 30 68 & 4 & 34 78 & 4 & 38 84 & 2 & 40 \end{matrix}$

Discussion

2954.	If the points (a, 0), (0, b) and (1, 1) are collinear, then 1a+1b = ___________.
Answer» If the points (a, 0), (0, b) and (1, 1) are collinear, then $\frac{1}{a} + \frac{1}{b}$ = ___________.

Discussion

2955.	Corresponding sides of two similar triangles are in the ratio 1 : 3. If the area of the smaller triangle in 40 cm2, find the area of the larger triangle.
Answer» Corresponding sides of two similar triangles are in the ratio 1 : 3. If the area of the smaller triangle in 40 cm², find the area of the larger triangle.

Discussion

2956.	Question 8Two solid cones A and B are placed in a cylindrical tube. The ratio of their capacities are 2:1. Find the heights and capacities of cones. Also, find the volume of the remaining portion of the cylinder.
Answer» Question 8 Two solid cones A and B are placed in a cylindrical tube. The ratio of their capacities are 2:1. Find the heights and capacities of cones. Also, find the volume of the remaining portion of the cylinder.

Discussion

2957.	In the given figure, O is the centre of the circle. If area of the shaded region is 126 cm2 and AB=AC, then area of circle is (in cm2) [use π=227]
Answer» In the given figure, $O$ is the centre of the circle. If area of the shaded region is $126 {cm}^{2}$ and $A B = A C$ , then area of circle is (in ${cm}^{2}$ ) $[use π = \frac{22}{7}]$

Discussion

2958.	Two ships are on either side of a 100 m lighthouse. The angles of elevation from the two ships to the top of the lighthouse are 30° and 45°. Find the distance between the ships
Answer» Two ships are on either side of a 100 m lighthouse. The angles of elevation from the two ships to the top of the lighthouse are 30° and 45°. Find the distance between the ships

Discussion

2959.	A tent consists of a frustum of a cone, surmounted by a cone. If the diameters of the upper and lower circular ends of the frustum are 14 m and 26 m respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of the canvas required to make the tent. Assume that the radii of the upper end of the frustum and the base of the surmounted conical portion are equal. [2 MARKS]
Answer» A tent consists of a frustum of a cone, surmounted by a cone. If the diameters of the upper and lower circular ends of the frustum are 14 m and 26 m respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of the canvas required to make the tent. Assume that the radii of the upper end of the frustum and the base of the surmounted conical portion are equal. [2 MARKS]

2959.

A tent consists of a frustum of a cone, surmounted by a cone. If the diameters of the upper and lower circular ends of the frustum are 14 m and 26 m respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of the canvas required to make the tent. Assume that the radii of the upper end of the frustum and the base of the surmounted conical portion are equal. [2 MARKS]

Answer»

A tent consists of a frustum of a cone, surmounted by a cone. If the diameters of the upper and lower circular ends of the frustum are 14 m and 26 m respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of the canvas required to make the tent. Assume that the radii of the upper end of the frustum and the base of the surmounted conical portion are equal. [2 MARKS]

Discussion

2960.	34. A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target? (1) 1 (2) 1/256 (3) 81/256 (4) 175/256
Answer» 34. A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target? (1) 1 (2) 1/256 (3) 81/256 (4) 175/256

Discussion

2961.	If a whole number a is divided by a non-zero whole number b such that the quotient is q, thenthe remainder is .............
Answer» If a whole number a is divided by a non-zero whole number b such that the quotient is q, then the remainder is .............

Discussion

2962.	If 'a' and 'b' are zeroes of the polynomial f(t)=t^2-5t+3,then find the value of (a^3b^4)+(a^4b^3).
Answer» If 'a' and 'b' are zeroes of the polynomial f(t)=t^2-5t+3,then find the value of (a^3b^4)+(a^4b^3).

Discussion

2963.

Prepare Trading and Profit and Loss Account and Balance Sheet from the following balances, relating to the year ended 31st March, 2019: ₹ ₹ Capital 1,00,000 Wages 50,000 Creditors 12,000 Bank 10,000 Returns Outward 5,000 Repairs 500 Sales 1,64,000 Stock on 1st April, 2018 20,000 Bills Payable 5,000 Rent 4,000 Plant and Machinery 40,000 Manufacturing Expenses 8,000 Sundry Debtors 24,000 Trade Expenses 7,000 Drawings 10,000 Bad Debts 2,000 Purchases 1,05,000 Carriage 1,500 Returns Inward 3,000 Fuel and Power 1,000 Additional Information:(i) Closing Stock was valued at ₹ 14,500.(ii) Depreciate Plant and Machinery by ₹ 4,000.(iii) Write off Bad Debts ₹ 5,000.(iv) ₹ 400 is due for repairs.

Answer» Prepare Trading and Profit and Loss Account and Balance Sheet from the following balances, relating to the year ended 31st March, 2019:

	₹		₹
Capital	1,00,000	Wages	50,000
Creditors	12,000	Bank	10,000
Returns Outward	5,000	Repairs	500
Sales	1,64,000	Stock on 1st April, 2018	20,000
Bills Payable	5,000	Rent	4,000
Plant and Machinery	40,000	Manufacturing Expenses	8,000
Sundry Debtors	24,000	Trade Expenses	7,000
Drawings	10,000	Bad Debts	2,000
Purchases	1,05,000	Carriage	1,500
Returns Inward	3,000	Fuel and Power	1,000

Additional Information:

(i) Closing Stock was valued at ₹ 14,500.

(ii) Depreciate Plant and Machinery by ₹ 4,000.

(iii) Write off Bad Debts ₹ 5,000.

(iv) ₹ 400 is due for repairs.

Discussion

2964.	In a circus, a motorcyclist performs his stunts inside a hollow sphere. The thickness of the sphere is negligible. If the diameter of the hollow sphere is 14 m, then find the area available for the motorcyclist to perform his stunts. (use π=227)
Answer» In a circus, a motorcyclist performs his stunts inside a hollow sphere. The thickness of the sphere is negligible. If the diameter of the hollow sphere is 14 m, then find the area available for the motorcyclist to perform his stunts. $(u s e π = \frac{22}{7})$

Discussion

2965.	Find the value of the expression: 2√2+√2
Answer» Find the value of the expression: $2 \sqrt{2} + \sqrt{2}$

Discussion

2966.	The angle of elevation of a jet plane from a point A on the ground is 60∘. After a flight of 30 seconds, the angle of elevation changes to 30∘. If the jet plane is flying at a constant height of 3600√3 metres, find the speed of the jet plane. [4 MARKS]
Answer» The angle of elevation of a jet plane from a point A on the ground is $60^{\circ}$ . After a flight of 30 seconds, the angle of elevation changes to $30^{\circ}$ . If the jet plane is flying at a constant height of $3600 \sqrt{3} m e t r e s$ , find the speed of the jet plane. [4 MARKS]

Discussion

2967.	If sin 3 θ = cos(θ - 60) where θ and (θ - 6) are acute angles, the value of θ is
Answer» If sin 3 θ = cos(θ - 6⁰) where θ and (θ - 6) are acute angles, the value of θ is

Discussion

2968.	Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see the given figure). What is the probability that the fish taken out is a male fish?
Answer» Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see the given figure). What is the probability that the fish taken out is a male fish?

2968.

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see the given figure). What is the probability that the fish taken out is a male fish?

Answer»

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see the given figure). What is the probability that the fish taken out is a male fish?

Discussion

2969.	The point P which divides the line segment joining the points A(2,−5), and B(5,2) in the ratio 2:3 lies in the quadrant (a) I (b) II (c) III (d) IV
Answer» The point P which divides the line segment joining the points $A (2, - 5)$ , and $B (5, 2)$ in the ratio $2 : 3$ lies in the quadrant (a) I (b) II (c) III (d) IV

2969.

The point P which divides the line segment joining the points A(2,−5), and B(5,2) in the ratio 2:3 lies in the quadrant (a) I (b) II (c) III (d) IV

Answer»

The point P which divides the line segment joining the points

$A (2, - 5)$ , and $B (5, 2)$ in the ratio $2 : 3$ lies in the quadrant
(a) I

(b) II

(c) III

(d) IV

Discussion

2970.	Determine the ratio in which y-x+2=0 divides the line joining (3,-1) and (8,9)
Answer» Determine the ratio in which y-x+2=0 divides the line joining (3,-1) and (8,9)

Discussion

2971.	Factorise the bi quadratic equationf(x) = (x+1)(x+2)(x+3)(x+4)-8
Answer» Factorise the bi quadratic equation f(x) = (x+1)(x+2)(x+3)(x+4)-8

Discussion

2972.	AD, BE and CF, the altitudes of ΔABC are equal. Prove that ΔABC is an equilateral triangle
Answer» AD, BE and CF, the altitudes of $Δ A B C$ are equal. Prove that $Δ A B C$ is an equilateral triangle

Discussion

2973.	Find the five rational number between 2and1.
Answer» Find the five rational number between 2and1.

Discussion

2974.	Solve the following quadratic equations by factorization:(x − 4) (x + 2) = 0
Answer» Solve the following quadratic equations by factorization: (x − 4) (x + 2) = 0

Discussion

2975.	Choose the correct dilation of the below figure.
Answer» Choose the correct dilation of the below figure.

Discussion

2976.	AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, then BP = _____.
Answer» AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, then BP = _____.

2976.

AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, then BP = _____.

Answer»

AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, then BP = _____.

Discussion

2977.	Find the value of ‘m’ for which the given value of the variable is a solution of the equation : 3x2+2mx–3=0;2x–1=0
Answer» Find the value of ‘m’ for which the given value of the variable is a solution of the equation : $3 x^{2} + 2 m x - 3 = 0; 2 x - 1 = 0$

Discussion

2978.	A solid toy s in the form of a hemisphere surrounded by a right circular cone . The height of cone is 4 cm and the diameter of the base is 8 cm . Determine the volume of the toy. If a cube circumscribes the toy , then find the difference of the volumes of cube and the toy .
Answer» A solid toy s in the form of a hemisphere surrounded by a right circular cone . The height of cone is 4 cm and the diameter of the base is 8 cm . Determine the volume of the toy. If a cube circumscribes the toy , then find the difference of the volumes of cube and the toy .

Discussion

2979.	A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to(i) Rohit,(ii) Kamal?
Answer» A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to (i) Rohit, (ii) Kamal?

Discussion

2980.	Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer. [3 MARKS]
Answer» Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer. [3 MARKS]

Discussion

2981.	A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of cuboid are 15cm by 10cm by 3.5cm. The radius of each of the depressions is 0.5cm and the depth is 1.4cm Find the surface area of wood in the entire stand.
Answer» A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of cuboid are 15cm by 10cm by 3.5cm. The radius of each of the depressions is 0.5cm and the depth is 1.4cm Find the surface area of wood in the entire stand.

Discussion

2982.	Find the coordinates of point P if P divides the line segment joining the points A(–1,7) and B(4,–3) in the ratio 2 : 3.
Answer» Find the coordinates of point P if P divides the line segment joining the points A(–1,7) and B(4,–3) in the ratio 2 : 3.

Discussion

2983.	Find the cubic polynomial whose zeros are 5,3,anf-2
Answer» Find the cubic polynomial whose zeros are 5,3,anf-2

Discussion

2984.	Find the point where 2x-3y = -9 cuts the y axis
Answer» Find the point where 2x-3y = -9 cuts the y axis

Discussion

2985.	From the given triangles, which of the following is true?
Answer» From the given triangles, which of the following is true?

Discussion

2986.	Which of the following sets of quantum numbers is not valid?
Answer» Which of the following sets of quantum numbers is not valid?

Discussion

2987.	Max takes a paper and draws some horizontal and vertical lines. Later, she starts coloring the squares black but realises that a pattern has been formed like the one below. Help her complete the pattern by finding what will come in place of '?'.
Answer» Max takes a paper and draws some horizontal and vertical lines. Later, she starts coloring the squares black but realises that a pattern has been formed like the one below. Help her complete the pattern by finding what will come in place of '?'.

Discussion

2988.	A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and height of the cylinder are 6 cm and 12 cm, respectively. If the the slant height of the conical portion is 5 cm, find the total surface area of the rocket [Use π=3.14]
Answer» A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and height of the cylinder are 6 cm and 12 cm, respectively. If the the slant height of the conical portion is 5 cm, find the total surface area of the rocket [Use $π = 3.14]$

Discussion

2989.	ABCD is a parallelogram with vertices A (x1, y1), B x2, y2, C (x3, y3) . Find the coordinates of the fourth vertex D in terms of x1 , x2 , x3, y1, y2 and y3.
Answer» ABCD is a parallelogram with vertices $A (x_{1}, y_{1}), B (x_{2}, y_{2}), C (x_{3}, y_{3})$ . Find the coordinates of the fourth vertex D in terms of $x_{1}, x_{2}, x_{3}, y_{1}, y_{2} and y_{3}$ .

Discussion

2990.	For the AP: x−7,x−2,x+3,.... the 15th term is ____.
Answer» For the AP: $x - 7, x - 2, x + 3, . . . .$ the $15^{t h}$ term is ____.

Discussion

2991.	If one zero of the polynomial 3x2−8x+2k+1 is seven times the other, then the value of k is ___.
Answer» If one zero of the polynomial $3 x^{2} - 8 x + 2 k + 1$ is seven times the other, then the value of $k$ is ___.

Discussion

2992.	The angle of elevation of the top of a building from the foot of the tower is 30∘ and the angle of elevation of the top of the tower from the foot of the building is 60∘. If the tower is 50 m high, find the height of the building.
Answer» The angle of elevation of the top of a building from the foot of the tower is $30^{\circ}$ and the angle of elevation of the top of the tower from the foot of the building is $60^{\circ}$ . If the tower is 50 m high, find the height of the building.

Discussion

2993.	Solve each of the following systems of equations by using the method of cross multiplication: x+2y+1=0, 2x−3y−12=0.
Answer» Solve each of the following systems of equations by using the method of cross multiplication: $x + 2 y + 1 = 0$ , $2 x - 3 y - 12 = 0$ .

2993.

Solve each of the following systems of equations by using the method of cross multiplication: x+2y+1=0, 2x−3y−12=0.

Answer»

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

$x + 2 y + 1 = 0$ ,

$2 x - 3 y - 12 = 0$ .

Discussion

2994.	Anil and Sunil are partners in a firm with fixed capitals of ₹ 3,20,000 and ₹ 2,40,000 respectively. They admitted Charu as a new partner for 1/4th share in the profits of the firm on 1st April, 2012. Charu brought ₹ 3,20,000 as her share of capital.Calculate value of goodwill and record necessary Journal entries.
Answer» Anil and Sunil are partners in a firm with fixed capitals of ₹ 3,20,000 and ₹ 2,40,000 respectively. They admitted Charu as a new partner for 1/4th share in the profits of the firm on 1st April, 2012. Charu brought ₹ 3,20,000 as her share of capital. Calculate value of goodwill and record necessary Journal entries.

Discussion

2995.	The difference of areas of two squares is A. The difference of their perimeters is P. The sum of their perimeters is
Answer» The difference of areas of two squares is A. The difference of their perimeters is P. The sum of their perimeters is

Discussion

2996.	Question 6A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?
Answer» Question 6 A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?

Discussion

2997.	Gregor J. Mendel is the father of Genetics. He conducted various experiments by mating pea plants of varying characteristics. He then calculated the number of variants produced by mating and finally calculated the probability of transmission of a particular character. This approach is called:
Answer» Gregor J. Mendel is the father of Genetics. He conducted various experiments by mating pea plants of varying characteristics. He then calculated the number of variants produced by mating and finally calculated the probability of transmission of a particular character. This approach is called:

Discussion

2998.	A spherical clay model of diameter 12cm is moulded into a frustum by a professional engineer with diameters 15cm and 10cm. What will be the slant height of the frustum obtained (in cm)?18.187
Answer» A spherical clay model of diameter 12cm is moulded into a frustum by a professional engineer with diameters 15cm and 10cm. What will be the slant height of the frustum obtained (in cm)? 18.187

Discussion

2999.	PQ is a tangent to a circle with centre O at the point P. If triangle OPQ is an isosceles triangle, then angle OQP is equal to
Answer» PQ is a tangent to a circle with centre O at the point P. If triangle OPQ is an isosceles triangle, then angle OQP is equal to

2999.

PQ is a tangent to a circle with centre O at the point P. If triangle OPQ is an isosceles triangle, then angle OQP is equal to

Answer»

PQ is a tangent to a circle with centre O at the point P. If triangle OPQ is an isosceles triangle, then angle OQP is equal to

Discussion

3000.	Define scalar matrix. Give an example.
Answer» Define scalar matrix. Give an example.

Discussion

Explore topic-wise InterviewSolutions in .

Ashok and Sandeep invested Rs 18000 each in buying shares of two different companies, Ashok buys 7.5%. Rs 100 share at a discount of 20%, whereas Sandeep buys Rs 50 share at a premium of 20%. If both receive equal dividend at the end of the year, then find the rate of dividend received by Sandeep.

Question 59State whether the following statement is true or false:Two cylinders with equal volume will always have equal surface area.

Find the median term of the following cumulative frequency distribution:xfrequencyCumulative frequency221134233925458135482156930684347843884240

If the points (a, 0), (0, b) and (1, 1) are collinear, then 1a+1b = ___________.

Corresponding sides of two similar triangles are in the ratio 1 : 3. If the area of the smaller triangle in 40 cm2, find the area of the larger triangle.

Question 8Two solid cones A and B are placed in a cylindrical tube. The ratio of their capacities are 2:1. Find the heights and capacities of cones. Also, find the volume of the remaining portion of the cylinder.

In the given figure, O is the centre of the circle. If area of the shaded region is 126 cm2 and AB=AC, then area of circle is (in cm2) [use π=227]

Two ships are on either side of a 100 m lighthouse. The angles of elevation from the two ships to the top of the lighthouse are 30° and 45°. Find the distance between the ships

34. A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target? (1) 1 (2) 1/256 (3) 81/256 (4) 175/256

If a whole number a is divided by a non-zero whole number b such that the quotient is q, thenthe remainder is .............

If 'a' and 'b' are zeroes of the polynomial f(t)=t^2-5t+3,then find the value of (a^3*b^4)+(a^4*b^3).

In a circus, a motorcyclist performs his stunts inside a hollow sphere. The thickness of the sphere is negligible. If the diameter of the hollow sphere is 14 m, then find the area available for the motorcyclist to perform his stunts. (use π=227)

Find the value of the expression: 2√2+√2

The angle of elevation of a jet plane from a point A on the ground is 60∘. After a flight of 30 seconds, the angle of elevation changes to 30∘. If the jet plane is flying at a constant height of 3600√3 metres, find the speed of the jet plane. [4 MARKS]

If sin 3 θ = cos(θ - 60) where θ and (θ - 6) are acute angles, the value of θ is

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see the given figure). What is the probability that the fish taken out is a male fish?

The point P which divides the line segment joining the points A(2,−5), and B(5,2) in the ratio 2:3 lies in the quadrant (a) I (b) II (c) III (d) IV

Determine the ratio in which y-x+2=0 divides the line joining (3,-1) and (8,9)

Factorise the bi quadratic equationf(x) = (x+1)(x+2)(x+3)(x+4)-8

AD, BE and CF, the altitudes of ΔABC are equal. Prove that ΔABC is an equilateral triangle

Find the five rational number between 2and1.

Solve the following quadratic equations by factorization:(x − 4) (x + 2) = 0

Choose the correct dilation of the below figure.

AB is the diameter of the circle with centre O. P is a point on the circle such that PA = 2PB. If AB = d, then BP = _____.

Find the value of ‘m’ for which the given value of the variable is a solution of the equation : 3x2+2mx–3=0;2x–1=0

A solid toy s in the form of a hemisphere surrounded by a right circular cone . The height of cone is 4 cm and the diameter of the base is 8 cm . Determine the volume of the toy. If a cube circumscribes the toy , then find the difference of the volumes of cube and the toy .

Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer. [3 MARKS]

A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of cuboid are 15cm by 10cm by 3.5cm. The radius of each of the depressions is 0.5cm and the depth is 1.4cm Find the surface area of wood in the entire stand.

Find the coordinates of point P if P divides the line segment joining the points A(–1,7) and B(4,–3) in the ratio 2 : 3.

Find the cubic polynomial whose zeros are 5,3,anf-2

Find the point where 2x-3y = -9 cuts the y axis

From the given triangles, which of the following is true?

Which of the following sets of quantum numbers is not valid?

Max takes a paper and draws some horizontal and vertical lines. Later, she starts coloring the squares black but realises that a pattern has been formed like the one below. Help her complete the pattern by finding what will come in place of '?'.

ABCD is a parallelogram with vertices A (x1, y1), B x2, y2, C (x3, y3) . Find the coordinates of the fourth vertex D in terms of x1 , x2 , x3, y1, y2 and y3.

For the AP: x−7,x−2,x+3,.... the 15th term is ____.

If one zero of the polynomial 3x2−8x+2k+1 is seven times the other, then the value of k is ___.

The angle of elevation of the top of a building from the foot of the tower is 30∘ and the angle of elevation of the top of the tower from the foot of the building is 60∘. If the tower is 50 m high, find the height of the building.

Solve each of the following systems of equations by using the method of cross multiplication: x+2y+1=0, 2x−3y−12=0.

The difference of areas of two squares is A. The difference of their perimeters is P. The sum of their perimeters is

Question 6A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?

Gregor J. Mendel is the father of Genetics. He conducted various experiments by mating pea plants of varying characteristics. He then calculated the number of variants produced by mating and finally calculated the probability of transmission of a particular character. This approach is called:

A spherical clay model of diameter 12cm is moulded into a frustum by a professional engineer with diameters 15cm and 10cm. What will be the slant height of the frustum obtained (in cm)?18.187

PQ is a tangent to a circle with centre O at the point P. If triangle OPQ is an isosceles triangle, then angle OQP is equal to

Define scalar matrix. Give an example.

If 'a' and 'b' are zeroes of the polynomial f(t)=t^2-5t+3,then find the value of (a^3b^4)+(a^4b^3).