32581 + Interview Questions in Mathematics

1.	Median of a given frequency distribution is found with the help of a
Answer» Median of a given frequency distribution is found with the help of a

Discussion

2.	The sum of 'r' terms of an AP is 2r2+3r. Then, the nth term is :
Answer» The sum of 'r' terms of an AP is $2 r^{2} + 3 r$ . Then, the $n^{t h}$ term is :

Discussion

3.	the length of a room is 50 per cent more than it's breadth. The cost of carpeting the room at the rate of 38.50 m sq. Is 924 and the cost of painting the walls at the rate of 5.50 per m sq. is 1,320 . Find the dimensions of the room.
Answer» the length of a room is 50 per cent more than it's breadth. The cost of carpeting the room at the rate of 38.50 m sq. Is 924 and the cost of painting the walls at the rate of 5.50 per m sq. is 1,320 . Find the dimensions of the room.

Discussion

4.	In ∆ABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm. Then, AB = ?(a) 4 cm(b) 5 cm(c) 8 cm(d) 2.5 cm
Answer» In ∆ABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm. Then, AB = ? (a) 4 cm (b) 5 cm (c) 8 cm (d) 2.5 cm

Discussion

5.	Write the decimal expansion of 7324×53.
Answer» Write the decimal expansion of $\frac{73}{(2^{4} \times 5^{3})}$ .

Discussion

6.

The monthly expenditure (Rs.) of a family on some important items and the Goods and Services Tax (GST) rates applicable to these item is as follows: Item Monthly Expense (Rs) GST Rate % Cereals 1500 0 Eggs 250 0 Fish, Meat 250 0 Medicines 50 5 Biogas 50 5 Transport 100 5 Butter 50 12 Babool 10 12 Tomato Ketchup 40 12 Biscuits 75 18 Cakes, Pastries 25 18 Branded Garments 100 18 Vacuum Cleaner, Car 1000 28 Calculate the average tax rate as far as this family is concerned.

Answer» The monthly expenditure (Rs.) of a family on some important items and the Goods and Services Tax (GST) rates applicable to these item is as follows:

Item	Monthly Expense (Rs)	GST Rate %
Cereals	1500	0
Eggs	250	0
Fish, Meat	250	0
Medicines	50	5
Biogas	50	5
Transport	100	5
Butter	50	12
Babool	10	12
Tomato Ketchup	40	12
Biscuits	75	18
Cakes, Pastries	25	18
Branded Garments	100	18
Vacuum Cleaner, Car	1000	28

Calculate the average tax rate as far as this family is concerned.

Discussion

7.	Write the next four terms of the following sequence.(a) 5, 7, 9, 11, ………(b) (c) (d) 4, −4, 4, −4, …….
Answer» Write the next four terms of the following sequence. (a) 5, 7, 9, 11, ……… (b) (c) (d) 4, −4, 4, −4, …….

7.

Write the next four terms of the following sequence.(a) 5, 7, 9, 11, ………(b) (c) (d) 4, −4, 4, −4, …….

Answer»

Write the next four terms of the following sequence.

(a) 5, 7, 9, 11, ………

(b)

(c)

(d) 4, −4, 4, −4, …….

Discussion

8.	Which of the following quadratic equation have imaginary roots?
Answer» Which of the following quadratic equation have imaginary roots?

Discussion

9.	The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its(a) 24th term(b) 27th term(c) 26th term(d) 25th term
Answer» The sum of n terms of an A.P. is 3n² + 5n, then 164 is its (a) 24^th term (b) 27^thterm (c) 26^th term (d) 25^th term

Discussion

10.	The quotient, when 5x2+3 is divided by 1x+2 is
Answer» The quotient, when $5 x^{2} + 3$ is divided by $\frac{1}{x} + 2$ is

Discussion

11.	{ Q }23/25 If }α-β,α and }α+β are the zeroes of the }}{ polynomial }f(x)=x^3-3px^2+qx-r, then which of }} the following relations is correct?
Answer» { Q }23/25 If }α-β,α and }α+β are the zeroes of the }}{ polynomial }f(x)=x^3-3px^2+qx-r, then which of }} the following relations is correct?

Discussion

12.	In the arithmetic progression whose common difference is non - zero, the sum of first 3 n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2n terms to the next 2n terms is
Answer» In the arithmetic progression whose common difference is non - zero, the sum of first 3 n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2n terms to the next 2n terms is

Discussion

13.	Z, X, S, I, R, R, ?, ?(1) J, I(2)J, K(3)K, M(4)G, I
Answer» Z, X, S, I, R, R, ?, ? (1) J, I (2)J, K (3)K, M (4)G, I

Discussion

14.	If four times the sum of the areas of two circular faces of a cylinder of height 8 cm is equal to twice the curve surface area, then diameter of the cylinder is(a) 4 cm(b) 8 cm(c) 2 cm(d) 6 cm
Answer» If four times the sum of the areas of two circular faces of a cylinder of height 8 cm is equal to twice the curve surface area, then diameter of the cylinder is (a) 4 cm (b) 8 cm (c) 2 cm (d) 6 cm

Discussion

15.	Short-Answer QuestionsSolve: x2+6x-a2+2a-8=0 [CBSE 2015]
Answer» Short-Answer Questions Solve: $x^{2} + 6 x - (a^{2} + 2 a - 8) = 0$ [CBSE 2015]

Discussion

16.	Question 4If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.
Answer» Question 4 If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.

Discussion

17.

uFollowing was the position of Harish & Co. as on 1st April, 2017 :−Cash in Hand ₹ 10,000; Cash at Bank ₹ 16,800; Furniture ₹ 8,000; Stock ₹ 50,000; Debtors− Ram ₹ 8,000; Shyam ₹ 12,000; Creditors− Anil ₹ 4,000; Sunil ₹ 5,000.Following transactions took place during April, 2017 :−2017 April 2 Received a cheque from Ram in full settlement of his account after deducting 5% cash discount.4 Deposited the above cheque into Bank.5 Goods purchased for ₹ 20,000 at 10% trade discount and 5% cash discount. Payment made by cheque.6 Received a cheque from Shyam for ₹ 3,860 and discount allowed to him ₹ 140. Cheque deposited into the bank on the same day.10 Cash paid to Anil after deducting 2% cash discount.15 Old furniture sold for ₹ 800.16 Sold goods to Shiv Parshad of the list price of ₹ 10,000 at a trade discount of 15%.18 Shiv Parshad returned goods of the list price of ₹ 1,000.20 Paid for furniture repairs to Bahadur Singh ₹ 100.25 Received a cheque from Shiv Parshad after deducting 4% cash discount. Cheque was deposited into bank.28 Bank charged ₹ 50 for 'Bank Charges'.30 Received Commission ₹ 200.

Answer»

uFollowing was the position of Harish & Co. as on 1st April, 2017 :−

Cash in Hand ₹ 10,000; Cash at Bank ₹ 16,800; Furniture ₹ 8,000; Stock ₹ 50,000; Debtors− Ram ₹ 8,000; Shyam ₹ 12,000; Creditors− Anil ₹ 4,000; Sunil ₹ 5,000.

Following transactions took place during April, 2017 :−

2017
April 2		Received a cheque from Ram in full settlement of his account after deducting 5% cash discount.
4		Deposited the above cheque into Bank.
5		Goods purchased for ₹ 20,000 at 10% trade discount and 5% cash discount. Payment made by cheque.
6		Received a cheque from Shyam for ₹ 3,860 and discount allowed to him ₹ 140. Cheque deposited into the bank on the same day.
10		Cash paid to Anil after deducting 2% cash discount.
15		Old furniture sold for ₹ 800.
16		Sold goods to Shiv Parshad of the list price of ₹ 10,000 at a trade discount of 15%.
18		Shiv Parshad returned goods of the list price of ₹ 1,000.
20		Paid for furniture repairs to Bahadur Singh ₹ 100.
25		Received a cheque from Shiv Parshad after deducting 4% cash discount. Cheque was deposited into bank.
28		Bank charged ₹ 50 for 'Bank Charges'.
30		Received Commission ₹ 200.

Discussion

18.	ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.
Answer» ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.

Discussion

19.	Find the area of the quadrant of the circle of circumference 22cm
Answer» Find the area of the quadrant of the circle of circumference 22cm

Discussion

20.	A building is in the form of a cylindrer surmounted by a hemispherical vaulted dome and contains 411921m3 of air.If the internal diameter of dome id equal to its total height above the floor,find the height of the building?
Answer» A building is in the form of a cylindrer surmounted by a hemispherical vaulted dome and contains 41 $\frac{19}{21} m^{3}$ of air.If the internal diameter of dome id equal to its total height above the floor,find the height of the building?

Discussion

21.	2.Find the locus of centres of circles which touch two intersecting lines
Answer» 2.Find the locus of centres of circles which touch two intersecting lines

Discussion

22.	is the solution of the following inequation. 2y−3<y+2<3y+5 if y∈R.
Answer» is the solution of the following inequation. $2 y - 3 < y + 2 < 3 y + 5$ if $y \in R .$

Discussion

23.	A, B and C started business on 1st April, 2018 with capitals of ₹ 1,00,000; ₹ 80,000 and ₹ 60,000 respectively sharing profits (losses) in the ratio of 4 : 3 : 3. For the year ended 31st March, 2019, the firm suffered a loss of ₹ 50,000. Each of the partners withdrew ₹ 10,000 during the year.On 31st March, 2019, the firm was dissolved, the creditors of the firm stood at ₹ 24,000 on that date and Cash in Hand was ₹ 4,000. The assets realised ₹ 3,00,000 and Creditors were paid ₹ 23,500 in full settlement of their claims.Prepare Realisation Account and show your workings clearly.
Answer» A, B and C started business on 1st April, 2018 with capitals of ₹ 1,00,000; ₹ 80,000 and ₹ 60,000 respectively sharing profits (losses) in the ratio of 4 : 3 : 3. For the year ended 31st March, 2019, the firm suffered a loss of ₹ 50,000. Each of the partners withdrew ₹ 10,000 during the year. On 31st March, 2019, the firm was dissolved, the creditors of the firm stood at ₹ 24,000 on that date and Cash in Hand was ₹ 4,000. The assets realised ₹ 3,00,000 and Creditors were paid ₹ 23,500 in full settlement of their claims. Prepare Realisation Account and show your workings clearly.

Discussion

24.	It is proposed to build a single park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be ___________.
Answer» It is proposed to build a single park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be ___________.

Discussion

25.	The tangent at a point C of a circle and a diameter AB when extended, intersect at P. O is the centre of the circle. If ∠PCA = 120∘, then find the value of ∠COB.
Answer» The tangent at a point C of a circle and a diameter AB when extended, intersect at P. O is the centre of the circle. If ∠PCA = $120^{\circ}$ , then find the value of ∠COB.

Discussion

26.	One angle of a ΔABC is 150∘ and its opposite side is 3 cm as shown in the figure. What is the diameter of its circumcircle?
Answer» One angle of a $Δ A B C$ is $150^{\circ}$ and its opposite side is 3 cm as shown in the figure. What is the diameter of its circumcircle?

26.

One angle of a ΔABC is 150∘ and its opposite side is 3 cm as shown in the figure. What is the diameter of its circumcircle?

Answer»

One angle of a $Δ A B C$ is $150^{\circ}$ and its opposite side is 3 cm as shown in the figure. What is the diameter of its circumcircle?

Discussion

27.	26.A ball is suspended by a thread of length L at the point O on a wall which is inclined to the verticle by a. The thread with the ball is displaced by a small angle beta away from the verticle and also away from the wall. If the wall is released, the period of oscillation of the pendulum when beta>alpha.
Answer» 26.A ball is suspended by a thread of length L at the point O on a wall which is inclined to the verticle by a. The thread with the ball is displaced by a small angle beta away from the verticle and also away from the wall. If the wall is released, the period of oscillation of the pendulum when beta>alpha.

Discussion

28.	Find the two consecutive odd positive integer sum of whose square is 290
Answer» Find the two consecutive odd positive integer sum of whose square is 290

Discussion

29.	If (2021)3762 is divided by 17, then the remainder is
Answer» If $(2021)^{3762}$ is divided by $17,$ then the remainder is

Discussion

30.	Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.
Answer» Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

Discussion

31.	A box contains 12 balls out of which x are blue. If one ball is drawn at random from the box, what is the probability that it will be a blue ball ? If 6 more blue balls are put in the box , the probability of drawing a black ball is now double of what it was before . Find x
Answer» A box contains 12 balls out of which $x$ are blue. If one ball is drawn at random from the box, what is the probability that it will be a blue ball ? If 6 more blue balls are put in the box , the probability of drawing a black ball is now double of what it was before . Find $x$

Discussion

32.	Find the value of k for which the points A (- 2, 3) , B(1,2) C(K,0) are collinear .
Answer» Find the value of k for which the points A (- 2, 3) , B(1,2) C(K,0) are collinear .

Discussion

33.

The following table shows the ages of the patients admitted in a hospital during a year: age (in years) 5 − 15 15 − 25 25 − 35 35 − 45 45 − 55 55 − 65 Number of patients 6 11 21 23 14 5 Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Answer»

The following table shows the ages of the patients admitted in a hospital during a year:

age (in years)	5 − 15	15 − 25	25 − 35	35 − 45	45 − 55	55 − 65
Number of patients	6	11	21	23	14	5

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Discussion

34.	The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for a journey of 15 km, the charge paid is Rs. 155. What are the fixed charges and the charge per kilometer? How much does a person have to pay for travelling a distance of 25 km?
Answer» The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for a journey of 15 km, the charge paid is Rs. 155. What are the fixed charges and the charge per kilometer? How much does a person have to pay for travelling a distance of 25 km?

Discussion

35.	To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs the distance AD on the 2nd line and posts a green flag. Preet runs the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
Answer» To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs the distance AD on the 2^ndline and posts a green flag. Preet runs the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

35.

To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs the distance AD on the 2nd line and posts a green flag. Preet runs the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

Answer»

To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs the distance AD on the 2^ndline and posts a green flag. Preet runs the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

Discussion

36.	If x, y and z are variables, verify the cyclic symmetry of the following expressions.(1) x(y + z) + y(z + x) + z(x + y)(2) xy(x − y) + yz(y − z) + zx(z − x)(3) x2y(x + y) + y2z(y + z) + z2x(z + x)(4) x3(x + y) + y3(y + z) + z3(z + x)(5) xy2(x − y) + yz2(y − z) + zx2(z − x)
Answer» If x, y and z are variables, verify the cyclic symmetry of the following expressions. (1) x(y + z) + y(z + x) + z(x + y) (2) xy(x − y) + yz(y − z) + zx(z − x) (3) x²y(x + y) + y²z(y + z) + z²x(z + x) (4) x³(x + y) + y³(y + z) + z³(z + x) (5) xy²(x − y) + yz²(y − z) + zx²(z − x)

36.

If x, y and z are variables, verify the cyclic symmetry of the following expressions.(1) x(y + z) + y(z + x) + z(x + y)(2) xy(x − y) + yz(y − z) + zx(z − x)(3) x2y(x + y) + y2z(y + z) + z2x(z + x)(4) x3(x + y) + y3(y + z) + z3(z + x)(5) xy2(x − y) + yz2(y − z) + zx2(z − x)

Answer»

If x, y and z are variables, verify the cyclic symmetry of the following expressions.

(1) x(y + z) + y(z + x) + z(x + y)

(2) xy(x − y) + yz(y − z) + zx(z − x)

(3) x²y(x + y) + y²z(y + z) + z²x(z + x)

(4) x³(x + y) + y³(y + z) + z³(z + x)

(5) xy²(x − y) + yz²(y − z) + zx²(z − x)

Discussion

37.	A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of inner radius 3 cm and has a thickness of 3 cm. Find the total volume of the clay remaining in both the halves.
Answer» A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of inner radius $3 c m$ and has a thickness of $3 c m$ . Find the total volume of the clay remaining in both the halves.

Discussion

38.	Mohan is twice as old as his brother. 3 years ago, Mohan's age was 3 times his brothers age. Calculate Mohan's present age.
Answer» Mohan is twice as old as his brother. 3 years ago, Mohan's age was 3 times his brothers age. Calculate Mohan's present age.

Discussion

39.	Find the sum of all two digit odd numbers.
Answer» Find the sum of all two digit odd numbers.

Discussion

40.	The radius of the base and the height of a right circular cylinder are 7cm and 13.5cm respectively. The volume of the cylinder( in cm3) is:
Answer» The radius of the base and the height of a right circular cylinder are 7cm and 13.5cm respectively. The volume of the cylinder( in $c m^{3}$ ) is:

Discussion

41.	If a = 0, what is the degree of the equation ax2 + bx + c = 0
Answer» If a = 0, what is the degree of the equation a $x^{2}$ + bx + c = 0

Discussion

42.	Two buildings are facing each other on a road of width 12 metre. From the top of the first building, which is 10 metre high, the angle of elevation of the top of the second is found to be 60°. What is the height of the second building ?
Answer» Two buildings are facing each other on a road of width 12 metre. From the top of the first building, which is 10 metre high, the angle of elevation of the top of the second is found to be 60°. What is the height of the second building ?

Discussion

43.	7. A man stand on a tower of height 12m observed a cliff. the angle of elevation of the top of the cliff is 30 degree and the angle of depression of the base of the cliff is 45degree . find the height of the cliff and the distance from the tower
Answer» 7. A man stand on a tower of height 12m observed a cliff. the angle of elevation of the top of the cliff is 30 degree and the angle of depression of the base of the cliff is 45degree . find the height of the cliff and the distance from the tower

Discussion

44.	An arc subtends an angle of 90° at the centre of the circle of the radius 14 cm. Write the area of minor sector thus formed in terms of π.
Answer» An arc subtends an angle of 90° at the centre of the circle of the radius 14 cm. Write the area of minor sector thus formed in terms of π.

Discussion

45.	50 bells B1, B2, B3,.......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively. Bells numbered as prime numbers ring at intervals. This interval will be the same as___
Answer» 50 bells B1, B2, B3,.......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively. Bells numbered as prime numbers ring at intervals. This interval will be the same as___

Discussion

46.	Question 95Solve the following:Hamid has three boxes of different fruits. Box A weighs 2 12 kg more than box B and Box C weighs 10 14 more than box B. The total weight of the three boxes is 4834kg. How many kilograms does box A weigh?
Answer» Question 95 Solve the following: Hamid has three boxes of different fruits. Box A weighs 2 $\frac{1}{2}$ kg more than box B and Box C weighs 10 $\frac{1}{4}$ more than box B. The total weight of the three boxes is 48 $\frac{3}{4} k g$ . How many kilograms does box A weigh?

46.

Question 95Solve the following:Hamid has three boxes of different fruits. Box A weighs 2 12 kg more than box B and Box C weighs 10 14 more than box B. The total weight of the three boxes is 4834kg. How many kilograms does box A weigh?

Answer»

Question 95

Solve the following:

Hamid has three boxes of different fruits. Box A weighs 2 $\frac{1}{2}$ kg more than box B and Box C weighs 10 $\frac{1}{4}$ more than box B. The total weight of the three boxes is 48 $\frac{3}{4} k g$ . How many kilograms does box A weigh?

Discussion

47.	What do we get when we subtract 57 from 137 ?
Answer» What do we get when we subtract $\frac{5}{7}$ from $\frac{13}{7}$ ?

Discussion

48.	Question 2Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
Answer» Question 2 Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)

Discussion

49.	The equation of the circle which touches x-axis and has its centre at (1, 2) is __________.
Answer» The equation of the circle which touches x-axis and has its centre at (1, 2) is __________.

Discussion

50.	Prove that 27 is irrational.
Answer» Prove that $\frac{2}{\sqrt{7}}$ is irrational.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Median of a given frequency distribution is found with the help of a

The sum of 'r' terms of an AP is 2r2+3r. Then, the nth​ term is :

the length of a room is 50 per cent more than it's breadth. The cost of carpeting the room at the rate of 38.50 m sq. Is 924 and the cost of painting the walls at the rate of 5.50 per m sq. is 1,320 . Find the dimensions of the room.

In ∆ABC, ∠C = ∠A, BC = 4 cm and AC = 5 cm. Then, AB = ?(a) 4 cm(b) 5 cm(c) 8 cm(d) 2.5 cm

Write the decimal expansion of 7324×53.

Write the next four terms of the following sequence.(a) 5, 7, 9, 11, ………(b) (c) (d) 4, −4, 4, −4, …….

Which of the following quadratic equation have imaginary roots?

The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its(a) 24th term(b) 27th term(c) 26th term(d) 25th term

The quotient, when 5x2+3 is divided by 1x+2 is

{ Q }23/25 If }α-β,α and }α+β are the zeroes of the }}{ polynomial }f(x)=x^3-3px^2+qx-r, then which of }} the following relations is correct?

In the arithmetic progression whose common difference is non - zero, the sum of first 3 n terms is equal to the sum of next n terms. Then the ratio of the sum of the first 2n terms to the next 2n terms is

Z, X, S, I, R, R, ?, ?(1) J, I(2)J, K(3)K, M(4)G, I

If four times the sum of the areas of two circular faces of a cylinder of height 8 cm is equal to twice the curve surface area, then diameter of the cylinder is(a) 4 cm(b) 8 cm(c) 2 cm(d) 6 cm

Short-Answer QuestionsSolve: x2+6x-a2+2a-8=0 [CBSE 2015]

Question 4If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.

ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.

Find the area of the quadrant of the circle of circumference 22cm

A building is in the form of a cylindrer surmounted by a hemispherical vaulted dome and contains 411921m3 of air.If the internal diameter of dome id equal to its total height above the floor,find the height of the building?

2.Find the locus of centres of circles which touch two intersecting lines

is the solution of the following inequation. 2y−3&lt;y+2&lt;3y+5 if y∈R.

It is proposed to build a single park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be ___________.

The tangent at a point C of a circle and a diameter AB when extended, intersect at P. O is the centre of the circle. If ∠PCA = 120∘, then find the value of ∠COB.

One angle of a ΔABC is 150∘ and its opposite side is 3 cm as shown in the figure. What is the diameter of its circumcircle?

Find the two consecutive odd positive integer sum of whose square is 290

If (2021)3762 is divided by 17, then the remainder is

Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

A box contains 12 balls out of which x are blue. If one ball is drawn at random from the box, what is the probability that it will be a blue ball ? If 6 more blue balls are put in the box , the probability of drawing a black ball is now double of what it was before . Find x

Find the value of k for which the points A (- 2, 3) , B(1,2) C(K,0) are collinear .

If x, y and z are variables, verify the cyclic symmetry of the following expressions.(1) x(y + z) + y(z + x) + z(x + y)(2) xy(x − y) + yz(y − z) + zx(z − x)(3) x2y(x + y) + y2z(y + z) + z2x(z + x)(4) x3(x + y) + y3(y + z) + z3(z + x)(5) xy2(x − y) + yz2(y − z) + zx2(z − x)

A clay ball was split in half and its insides is scooped out. If the hollow shape formed is a hemisphere of inner radius 3 cm and has a thickness of 3 cm. Find the total volume of the clay remaining in both the halves.

Mohan is twice as old as his brother. 3 years ago, Mohan's age was 3 times his brothers age. Calculate Mohan's present age.

Find the sum of all two digit odd numbers.

The radius of the base and the height of a right circular cylinder are 7cm and 13.5cm respectively. The volume of the cylinder( in cm3) is:

If a = 0, what is the degree of the equation ax2 + bx + c = 0

Two buildings are facing each other on a road of width 12 metre. From the top of the first building, which is 10 metre high, the angle of elevation of the top of the second is found to be 60°. What is the height of the second building ?

7. A man stand on a tower of height 12m observed a cliff. the angle of elevation of the top of the cliff is 30 degree and the angle of depression of the base of the cliff is 45degree . find the height of the cliff and the distance from the tower

An arc subtends an angle of 90° at the centre of the circle of the radius 14 cm. Write the area of minor sector thus formed in terms of π.

50 bells B1, B2, B3,.......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively. Bells numbered as prime numbers ring at intervals. This interval will be the same as___

Question 95Solve the following:Hamid has three boxes of different fruits. Box A weighs 2 12 kg more than box B and Box C weighs 10 14 more than box B. The total weight of the three boxes is 4834kg. How many kilograms does box A weigh?

What do we get when we subtract 57 from 137 ?

The equation of the circle which touches x-axis and has its centre at (1, 2) is __________.

Prove that 27 is irrational.

The sum of 'r' terms of an AP is 2r2+3r. Then, the nth term is :

is the solution of the following inequation. 2y−3<y+2<3y+5 if y∈R.