32581 + Interview Questions in Mathematics

1.	Compare the two triangles found in each figure. Find out whether they are similar or not. Give reasons.(i)(ii) (iii)(iv)
Answer» Compare the two triangles found in each figure. Find out whether they are similar or not. Give reasons. (i) (ii) (iii) (iv)

1.

Compare the two triangles found in each figure. Find out whether they are similar or not. Give reasons.(i)(ii) (iii)(iv)

Answer»

Compare the two triangles found in each figure. Find out whether they are similar or not. Give reasons.

(i)

(ii)

(iii)

(iv)

Discussion

2.	Q. Prove that one of any three consecutive positive integers must be divisible by 3 .
Answer» Q. Prove that one of any three consecutive positive integers must be divisible by 3 .

Discussion

3.	can( x-7) be the remainder on division of a polynomial p(x) by (7x+2)?justify your answer.
Answer» can( x-7) be the remainder on division of a polynomial p(x) by (7x+2)?justify your answer.

Discussion

4.	A 20 m deep well of diameter 7 m is dug and the earth taken out is evenly spread out to form a plateform of 22 m by 14 m. Find the height of the plateform.
Answer» A 20 m deep well of diameter 7 m is dug and the earth taken out is evenly spread out to form a plateform of 22 m by 14 m. Find the height of the plateform.

Discussion

5.	On dividing a polynomial p(x) by 3x + 2, the quotient is x2−5 and the remainder is 4. Then p(x) equals
Answer» On dividing a polynomial p(x) by 3x + 2, the quotient is $x^{2} - 5$ and the remainder is 4. Then p(x) equals

Discussion

6.	From the top of a cliff 25m high the angle of elevation of a tower is found to be equal to the angle of depression to the foot of the tower. The height of the tower is ___.
Answer» From the top of a cliff 25m high the angle of elevation of a tower is found to be equal to the angle of depression to the foot of the tower. The height of the tower is ___.

Discussion

7.

From the following balances taken from the books of Hari & Co., prepare Trading and Profit and Loss Account for the year ended 31st March, 2019 and Balance Sheet as at that date: ₹ ₹ Capital 3,50,000 Salaries 11,100 Building 1,87,500 Discount Allowed 3,000 Machinery 92,500 Interest on Investments 1,000 Debtors 35,000 Stock (1st April, 2018) 1,65,000 Investments 35,000 Bills Payable 50,000 General Expenses 8,000 Sales 6,35,000 Rent Paid 37,100 Purchases 4,68,500 Proprietor's Drawings 6,500 Wages 25,000 Electricity Charges 1,900 Cash in Hand 18,000 Carriage Inwards 8,500 Sundry Creditors 1,00,000 Cash at Bank 30,000 Returns Inward 4,500 Returns Outward 1,100 Closing Stock was valued at ₹ 1,82,100.

Answer» From the following balances taken from the books of Hari & Co., prepare Trading and Profit and Loss Account for the year ended 31st March, 2019 and Balance Sheet as at that date:

	₹		₹
Capital	3,50,000	Salaries	11,100
Building	1,87,500	Discount Allowed	3,000
Machinery	92,500	Interest on Investments	1,000
Debtors	35,000	Stock (1st April, 2018)	1,65,000
Investments	35,000	Bills Payable	50,000
General Expenses	8,000	Sales	6,35,000
Rent Paid	37,100	Purchases	4,68,500
Proprietor's Drawings	6,500	Wages	25,000
Electricity Charges	1,900	Cash in Hand	18,000
Carriage Inwards	8,500	Sundry Creditors	1,00,000
Cash at Bank	30,000	Returns Inward	4,500
Returns Outward	1,100

Closing Stock was valued at ₹ 1,82,100.

Discussion

8.	Are tangents drawn at the ends of a diameter of a circle are equal?
Answer» Are tangents drawn at the ends of a diameter of a circle are equal?

Discussion

9.	The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper limit of the highest class is
Answer» The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper limit of the highest class is

Discussion

10.	Find the area of sector of the circle of radius 5 cm , if the corresponding arc length is 3.5 cm .
Answer» Find the area of sector of the circle of radius 5 cm , if the corresponding arc length is 3.5 cm .

Discussion

11.	Question 1 (ii)Find the volume of the right circular cone with:(ii) radius 3.5 cm, height 12 cm[Assume π=227]
Answer» Question 1 (ii) Find the volume of the right circular cone with: (ii) radius 3.5 cm, height 12 cm $[A s s u m e π = \frac{22}{7}]$

Discussion

12.	The interior angles of a polygon are in A.P. The smallest angle is 52∘ and the common difference is 8∘. Find the number of sides of the polygon
Answer» The interior angles of a polygon are in A.P. The smallest angle is $52^{\circ}$ and the common difference is $8^{\circ}$ . Find the number of sides of the polygon

Discussion

13.	If 1,α1,α2,α3,............,αn−1 are the roots of the equation x = (1)1n. Find the sum of the roots. __
Answer» If 1, $α_{1}$ , $α_{2}$ , $α_{3}$ ,............, $α_{n - 1}$ are the roots of the equation x = $(1)^{\frac{1}{n}}$ . Find the sum of the roots. __

Discussion

14.	The angle of elevation of a jet plane from a point A on the ground is 60∘. After a flight of 15 seconds the angle of elevation changes to 30∘. The plane is flying at a constant height of 1500√3m. Calculate the speed of the plane.
Answer» The angle of elevation of a jet plane from a point $A$ on the ground is $60^{\circ}$ . After a flight of $15$ seconds the angle of elevation changes to $30^{\circ}$ . The plane is flying at a constant height of $1500 \sqrt{3} m$ . Calculate the speed of the plane.

Discussion

15.	The average of the first 100 natural number is
Answer» The average of the first 100 natural number is

Discussion

16.	Solve each of the following quadratic equations:4x2-4a2x+a4-b4=0 [CBSE 2015]
Answer» Solve each of the following quadratic equations: $4 x^{2} - 4 a^{2} x + (a^{4} - b^{4}) = 0$ [CBSE 2015]

Discussion

17.	Match the terms having same value.
Answer» Match the terms having same value.

Discussion

18.	Assertion: (A) In a graphical representation, if p times the distance between the Median and Mean is thrice the distance between Mode and Mean, then the value of p is 9. Reason: (R) Mode= 3 Median - 2 Mean Which of the following is true?
Answer» Assertion: (A) In a graphical representation, if p times the distance between the Median and Mean is thrice the distance between Mode and Mean, then the value of p is 9. Reason: (R) Mode= 3 Median - 2 Mean Which of the following is true?

Discussion

19.	Question 17How many linear equations in x and y can be satisfied by x = 1 and y = 2?A) Only oneB) TwoC) Infinitely manyD) Three
Answer» Question 17 How many linear equations in x and y can be satisfied by x = 1 and y = 2? A) Only one B) Two C) Infinitely many D) Three

Discussion

20.	Mahi uses a coin in which both the faces are the same i.e. tails. What is the probability that Mahi will win the toss, if she always calls heads?
Answer» Mahi uses a coin in which both the faces are the same i.e. tails. What is the probability that Mahi will win the toss, if she always calls heads?

Discussion

21.	In triangle ABC,∠A=∠B=30∘,AB=18cm as shown in figure. The perimeter of the triangle will be to equal to
Answer» In triangle $A B C, ∠ A = ∠ B = 30^{\circ}, A B = 18 c m$ as shown in figure. The perimeter of the triangle will be to equal to

21.

In triangle ABC,∠A=∠B=30∘,AB=18cm as shown in figure. The perimeter of the triangle will be to equal to

Answer»

In triangle $A B C, ∠ A = ∠ B = 30^{\circ}, A B = 18 c m$ as shown in figure. The perimeter of the triangle will be to equal to

Discussion

22.	If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is(a) 18 cm(b) 20 cm(c) 12 cm(d) 15 cm
Answer» If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is (a) 18 cm (b) 20 cm (c) 12 cm (d) 15 cm

Discussion

23.	In the adjoining figure ′O′ is the center of circle, ∠CAO = 25∘ and ∠CBO = 35∘. What is the value of ∠AOB?
Answer» In the adjoining figure $^{'} O^{'}$ is the center of circle, $∠$ CAO $=$ $25^{\circ}$ and $∠$ CBO $=$ $35^{\circ}$ . What is the value of $∠$ AOB?

23.

In the adjoining figure ′O′ is the center of circle, ∠CAO = 25∘ and ∠CBO = 35∘. What is the value of ∠AOB?

Answer»

In the adjoining figure $^{'} O^{'}$ is the center of circle, $∠$ CAO $=$ $25^{\circ}$ and $∠$ CBO $=$ $35^{\circ}$ . What is the value of $∠$ AOB?

Discussion

24.	The mode of a frequency distribution is obtained graphically from (a) a frequency curve (b) a frequency polygon (c) a histogram (d) an ogive
Answer» The mode of a frequency distribution is obtained graphically from (a) a frequency curve (b) a frequency polygon (c) a histogram (d) an ogive

24.

The mode of a frequency distribution is obtained graphically from (a) a frequency curve (b) a frequency polygon (c) a histogram (d) an ogive

Answer»

The mode of a frequency distribution is obtained graphically from

(a) a frequency curve (b) a frequency polygon

(c) a histogram (d) an ogive

Discussion

25.	ax(1/a-b-1/a+b)+by(1/b-a-1/b+a)=2a/a+b bx+ay=a+b
Answer» ax(1/a-b-1/a+b)+by(1/b-a-1/b+a)=2a/a+b bx+ay=a+b

Discussion

26.	35. Let two lines L1 and L2 be 2x-2y+3z-2=0=x-y+z+1 And x+2y-z-3=0=3x-y+2z-1 Respectively. Find the vector along the normal of the plane containing the two lines.
Answer» 35. Let two lines L1 and L2 be 2x-2y+3z-2=0=x-y+z+1 And x+2y-z-3=0=3x-y+2z-1 Respectively. Find the vector along the normal of the plane containing the two lines.

Discussion

27.	Question 13Area of two circles are equal. Is it necessary that their circumferences are equal? Why?
Answer» Question 13 Area of two circles are equal. Is it necessary that their circumferences are equal? Why?

Discussion

28.	40. Let the vertex of an angle ABC be located outside a circle and the sides of the angle intersect equal chords AD and CE with the circle .prove that angleABC is equal to half the difference of the Angeles subtended by the chords AC and DEat the center.
Answer» 40. Let the vertex of an angle ABC be located outside a circle and the sides of the angle intersect equal chords AD and CE with the circle .prove that angleABC is equal to half the difference of the Angeles subtended by the chords AC and DEat the center.

Discussion

29.	ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). Find the length of one of its diagonal. [CBSE 2014]
Answer» ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). Find the length of one of its diagonal. [CBSE 2014]

Discussion

30.	Sir I am Shaun job of class 10, I have a doubt regarding mathematics on the topic of real numbers, This is the question Sir Prove that 599+1199+1799 is always divisible by 33 Thank you for your valuable time Sir Sincerely Shaun
Answer» Sir I am Shaun job of class 10, I have a doubt regarding mathematics on the topic of real numbers, This is the question Sir Prove that 5⁹⁹+11⁹⁹+17⁹⁹ is always divisible by 33 Thank you for your valuable time Sir Sincerely Shaun

30.

Sir I am Shaun job of class 10, I have a doubt regarding mathematics on the topic of real numbers, This is the question Sir Prove that 599+1199+1799 is always divisible by 33 Thank you for your valuable time Sir Sincerely Shaun

Answer»

Sir

I am Shaun job of class 10, I have a doubt regarding mathematics on the topic of real numbers,

This is the question Sir

Prove that 5⁹⁹+11⁹⁹+17⁹⁹ is always divisible by 33

Thank you for your valuable time Sir

Sincerely

Shaun

Discussion

31.	The length and width of a rectangular garden are 150m and 120m respectively. A footpath of a regular width is added to the boundary of the garden. With this the total area becomes 2800m2 more than its original area. Find the width of the footpath.
Answer» The length and width of a rectangular garden are 150m and 120m respectively. A footpath of a regular width is added to the boundary of the garden. With this the total area becomes $2800 m^{2}$ more than its original area. Find the width of the footpath.

Discussion

32.	After all these questions, William mentioned that the chart looks like a chart of several bars. Jack could relate to it as he knew that William was going to invent them in future!To return to the future, he needed to charge the super batteries. Though nobody knew how to generate electricity there, Jack, with the help of magnets and superconductor wires, successfully built a micro hydro generator. He went to the church and started charging the super batteries every day. Meanwhile, Jack played the game of Ludo with William to pass time. This game is played by throwing a 6 faced die with numbers from 1 to 6 on its 6 faces. To win, Jack had to get a 4. What is the probability that he will win the game?
Answer» After all these questions, William mentioned that the chart looks like a chart of several bars. Jack could relate to it as he knew that William was going to invent them in future! To return to the future, he needed to charge the super batteries. Though nobody knew how to generate electricity there, Jack, with the help of magnets and superconductor wires, successfully built a micro hydro generator. He went to the church and started charging the super batteries every day. Meanwhile, Jack played the game of Ludo with William to pass time. This game is played by throwing a 6 faced die with numbers from 1 to 6 on its 6 faces. To win, Jack had to get a 4. What is the probability that he will win the game?

32.

After all these questions, William mentioned that the chart looks like a chart of several bars. Jack could relate to it as he knew that William was going to invent them in future!To return to the future, he needed to charge the super batteries. Though nobody knew how to generate electricity there, Jack, with the help of magnets and superconductor wires, successfully built a micro hydro generator. He went to the church and started charging the super batteries every day. Meanwhile, Jack played the game of Ludo with William to pass time. This game is played by throwing a 6 faced die with numbers from 1 to 6 on its 6 faces. To win, Jack had to get a 4. What is the probability that he will win the game?

Answer»

After all these questions, William mentioned that the chart looks like a chart of several bars. Jack could relate to it as he knew that William was going to invent them in future!

To return to the future, he needed to charge the super batteries. Though nobody knew how to generate electricity there, Jack, with the help of magnets and superconductor wires, successfully built a micro hydro generator.

He went to the church and started charging the super batteries every day. Meanwhile, Jack played the game of Ludo with William to pass time. This game is played by throwing a 6 faced die with numbers from 1 to 6 on its 6 faces. To win, Jack had to get a 4. What is the probability that he will win the game?

Discussion

33.	If (x+1),3x and (4x+2) are first three terms of an AP then its 5th term is -
Answer» If $(x + 1), 3 x a n d (4 x + 2)$ are first three terms of an AP then its $5^{t h}$ term is -

Discussion

34.	Find the value of k for which the following system of linear equations has an infinite number of solutions:k-3x+3y=kkx+ky=12
Answer» Find the value of k for which the following system of linear equations has an infinite number of solutions: $(k - 3) x + 3 y = k k x + k y = 12$

Discussion

35.	From the given figure, find h.
Answer» From the given figure, find h.

35.

From the given figure, find h.

Answer»

From the given figure, find h.

Discussion

36.	Two dice are thrown together. The probability of getting the same number on both dice is:
Answer» Two dice are thrown together. The probability of getting the same number on both dice is:

Discussion

37.	Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is _________.
Answer» Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is _________.

Discussion

38.	If 40 shares of FV ₹80 were purchased for MV ₹100, and the company declared 25% dividend on shares, then the return (%) is.
Answer» If 40 shares of FV ₹80 were purchased for MV ₹100, and the company declared 25% dividend on shares, then the return $(%)$ is.

Discussion

39.	x + x/3 = 2/3 - x
Answer» x + x/3 = 2/3 - x

Discussion

40.	Solve the following simultaneous equations:4x−5y=6;3y−x=2
Answer» Solve the following simultaneous equations: $4 x - 5 y = 6; 3 y - x = 2$

Discussion

41.	Solve the following system of equations: x7+y3=5 x2−y9=6
Answer» Solve the following system of equations: $\frac{x}{7} + \frac{y}{3} = 5$ $\frac{x}{2} - \frac{y}{9} = 6$

41.

Solve the following system of equations: x7+y3=5 x2−y9=6

Answer»

Solve the following system of equations:

$\frac{x}{7} + \frac{y}{3} = 5$

$\frac{x}{2} - \frac{y}{9} = 6$

Discussion

42.	The tops of two poles of heights 20m and 14m are connected by a wire. If the wire makes an angle of 30 degree with horizontal, then the length of the wire is:
Answer» The tops of two poles of heights 20m and 14m are connected by a wire. If the wire makes an angle of 30 degree with horizontal, then the length of the wire is:

Discussion

43.	A bucket is in the form of a frustum of a cone of height 30 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the capacity and surface area of the bucket. Also, find the cost of milk which can completely fill the container , at thr rate of ₹25 per litre. (Use π = 3.14).
Answer» A bucket is in the form of a frustum of a cone of height 30 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the capacity and surface area of the bucket. Also, find the cost of milk which can completely fill the container , at thr rate of ₹25 per litre. (Use $π = 3.14) .$

Discussion

44.	The length of a rectangular room is 6 m more than its breadth. If half the perimeter is 46 m, find its breadth.20
Answer» The length of a rectangular room is 6 m more than its breadth. If half the perimeter is 46 m, find its breadth. 20

Discussion

45.	ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with centre O, has been inscribed inside the triangle.Calculate the value of x, the radius of the inscribed circle.
Answer» ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with centre O, has been inscribed inside the triangle. Calculate the value of x, the radius of the inscribed circle.

45.

ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with centre O, has been inscribed inside the triangle.Calculate the value of x, the radius of the inscribed circle.

Answer»

ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with centre O, has been inscribed inside the triangle.

Calculate the value of x, the radius of the inscribed circle.

Discussion

46.	38. ADCD is a parallelogram and APQ is a straight line meeting BC at P and DC at Q. Prove that BPDQ=ABBC.
Answer» 38. ADCD is a parallelogram and APQ is a straight line meeting BC at P and DC at Q. Prove that BPDQ=ABBC.

Discussion

47.	the value of cot^2(cot-1(3)+cot-1(7)+cot-1(13)+cot-1(21)
Answer» the value of cot^2(cot-1(3)+cot-1(7)+cot-1(13)+cot-1(21)

Discussion

48.	The sum of three consecutive multiples of 8 is 888.Find these multiples.
Answer» The sum of three consecutive multiples of 8 is 888.Find these multiples.

Discussion

49.	Question 6Write ‘True’ or ‘False’ and justify your answer in the followingThe capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the figure is πr23[3h−2r]
Answer» Question 6 Write ‘True’ or ‘False’ and justify your answer in the following The capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the figure is $\frac{π r^{2}}{3} [3 h - 2 r]$

Discussion

50.	In an art class, suneha sketched a design using geometrical shapes with the help of colours in the following way:Here, circles in black and blue are the circumcircle and incircle (of the equilateral ΔPQR) respectively. Then ∠BAC is equal to
Answer» In an art class, suneha sketched a design using geometrical shapes with the help of colours in the following way: Here, circles in black and blue are the circumcircle and incircle (of the equilateral $Δ P Q R)$ respectively. Then $∠ B A C$ is equal to

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Compare the two triangles found in each figure. Find out whether they are similar or not. Give reasons.(i)(ii) (iii)(iv)

Q. Prove that one of any three consecutive positive integers must be divisible by 3 .

can( x-7) be the remainder on division of a polynomial p(x) by (7x+2)?justify your answer.

A 20 m deep well of diameter 7 m is dug and the earth taken out is evenly spread out to form a plateform of 22 m by 14 m. Find the height of the plateform.

On dividing a polynomial p(x) by 3x + 2, the quotient is x2−5 and the remainder is 4. Then p(x) equals

From the top of a cliff 25m high the angle of elevation of a tower is found to be equal to the angle of depression to the foot of the tower. The height of the tower is ___.

Are tangents drawn at the ends of a diameter of a circle are equal?

The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper limit of the highest class is

Find the area of sector of the circle of radius 5 cm , if the corresponding arc length is 3.5 cm .

Question 1 (ii)Find the volume of the right circular cone with:(ii) radius 3.5 cm, height 12 cm[Assume π=227]

The interior angles of a polygon are in A.P. The smallest angle is 52∘ and the common difference is 8∘. Find the number of sides of the polygon

If 1,α1,α2,α3,............,αn−1 are the roots of the equation x = (1)1n. Find the sum of the roots. __

The angle of elevation of a jet plane from a point A on the ground is 60∘. After a flight of 15 seconds the angle of elevation changes to 30∘. The plane is flying at a constant height of 1500√3m. Calculate the speed of the plane.

The average of the first 100 natural number is

Solve each of the following quadratic equations:4x2-4a2x+a4-b4=0 [CBSE 2015]

Match the terms having same value.

Assertion: (A) In a graphical representation, if p times the distance between the Median and Mean is thrice the distance between Mode and Mean, then the value of p is 9. Reason: (R) Mode= 3 Median - 2 Mean Which of the following is true?

Question 17How many linear equations in x and y can be satisfied by x = 1 and y = 2?A) Only oneB) TwoC) Infinitely manyD) Three​​​​​​​

Mahi uses a coin in which both the faces are the same i.e. tails. What is the probability that Mahi will win the toss, if she always calls heads?

In triangle ABC,∠A=∠B=30∘,AB=18cm as shown in figure. The perimeter of the triangle will be to equal to

If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is(a) 18 cm(b) 20 cm(c) 12 cm(d) 15 cm

In the adjoining figure ′O′ is the center of circle, ∠CAO = 25∘ and ∠CBO = 35∘. What is the value of ∠AOB?

The mode of a frequency distribution is obtained graphically from (a) a frequency curve (b) a frequency polygon (c) a histogram (d) an ogive

ax(1/a-b-1/a+b)+by(1/b-a-1/b+a)=2a/a+b bx+ay=a+b

35. Let two lines L1 and L2 be 2x-2y+3z-2=0=x-y+z+1 And x+2y-z-3=0=3x-y+2z-1 Respectively. Find the vector along the normal of the plane containing the two lines.

Question 13Area of two circles are equal. Is it necessary that their circumferences are equal? Why?

40. Let the vertex of an angle ABC be located outside a circle and the sides of the angle intersect equal chords AD and CE with the circle .prove that angleABC is equal to half the difference of the Angeles subtended by the chords AC and DEat the center.

ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). Find the length of one of its diagonal. [CBSE 2014]

Sir I am Shaun job of class 10, I have a doubt regarding mathematics on the topic of real numbers, This is the question Sir Prove that 599+1199+1799 is always divisible by 33 Thank you for your valuable time Sir Sincerely Shaun

The length and width of a rectangular garden are 150m and 120m respectively. A footpath of a regular width is added to the boundary of the garden. With this the total area becomes 2800m2 more than its original area. Find the width of the footpath.

If (x+1),3x and (4x+2) are first three terms of an AP then its 5th term is -

Find the value of k for which the following system of linear equations has an infinite number of solutions:k-3x+3y=kkx+ky=12

From the given figure, find h.

Two dice are thrown together. The probability of getting the same number on both dice is:

Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is _________.

If 40 shares of FV ₹80 were purchased for MV ₹100, and the company declared 25% dividend on shares, then the return (%) is.

x + x/3 = 2/3 - x

Solve the following simultaneous equations:4x−5y=6;3y−x=2

Solve the following system of equations: x7+y3=5 x2−y9=6

The tops of two poles of heights 20m and 14m are connected by a wire. If the wire makes an angle of 30 degree with horizontal, then the length of the wire is:

The length of a rectangular room is 6 m more than its breadth. If half the perimeter is 46 m, find its breadth.20

ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with centre O, has been inscribed inside the triangle.Calculate the value of x, the radius of the inscribed circle.

38. ADCD is a parallelogram and APQ is a straight line meeting BC at P and DC at Q. Prove that BP*DQ=AB*BC.

the value of cot^2(cot-1(3)+cot-1(7)+cot-1(13)+cot-1(21)

The sum of three consecutive multiples of 8 is 888.Find these multiples.

Question 6Write ‘True’ or ‘False’ and justify your answer in the followingThe capacity of a cylindrical vessel with a hemispherical portion raised upward at the bottom as shown in the figure is πr23[3h−2r]

In an art class, suneha sketched a design using geometrical shapes with the help of colours in the following way:Here, circles in black and blue are the circumcircle and incircle (of the equilateral ΔPQR) respectively. Then ∠BAC is equal to

Question 17How many linear equations in x and y can be satisfied by x = 1 and y = 2?A) Only oneB) TwoC) Infinitely manyD) Three

38. ADCD is a parallelogram and APQ is a straight line meeting BC at P and DC at Q. Prove that BPDQ=ABBC.