32581 + Interview Questions in Mathematics

1.	Question 99 Solve the following: In a two-digit number, digit in unit's place is twice the digit in ten's place. If 27 is added to it, digits are reversed. Find the number.
Answer» Question 99 Solve the following: In a two-digit number, digit in unit's place is twice the digit in ten's place. If 27 is added to it, digits are reversed. Find the number.

1.

Question 99 Solve the following: In a two-digit number, digit in unit's place is twice the digit in ten's place. If 27 is added to it, digits are reversed. Find the number.

Answer»

Question 99

Solve the following:

In a two-digit number, digit in unit's place is twice the digit in ten's place. If 27 is added to it, digits are reversed. Find the number.

Discussion

2.	cos 38° cosec 52°tan 18° tan 35° tan 60° tan 72° tan 55°=?(a) 13(b) 13(c) 3(d) 23
Answer» $(\frac{\cos 38 ° cosec 52 °}{\tan 18 ° \tan 35 ° \tan 60 ° \tan 72 ° \tan 55 °}) = ?$ (a) $\frac{1}{3}$ (b) $\frac{1}{\sqrt{3}}$ (c) $\sqrt{3}$ (d) $\frac{2}{\sqrt{3}}$

Discussion

3.	The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?
Answer» The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?

Discussion

4.	Solvethe linear equation
Answer» Solve the linear equation

Discussion

5.	Draw 3 traversable networks of your own choice, showing the starting point and the end point.
Answer» Draw 3 traversable networks of your own choice, showing the starting point and the end point.

Discussion

6.	If alpha and beta are the zeroes of the polynomial ax^2+bx+c, find the polynomial whose zeroes are alpha+1/beta and beta+1/alpha
Answer» If alpha and beta are the zeroes of the polynomial ax^2+bx+c, find the polynomial whose zeroes are alpha+1/beta and beta+1/alpha

Discussion

7.	Find the common difference of the A.P. and write the next two terms:(i) 51, 59, 67, 75, ..(ii) 75, 67, 59, 51, ...(iii) 1.8, 2.0, 2.2, 2.4, ...(iv) 0,14,12,34, ...(v) 119, 136, 153, 170, ...
Answer» Find the common difference of the A.P. and write the next two terms: (i) 51, 59, 67, 75, .. (ii) 75, 67, 59, 51, ... (iii) 1.8, 2.0, 2.2, 2.4, ... (iv) $0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, . . .$ (v) 119, 136, 153, 170, ...

Discussion

8.	Joey buys an article at a rebate of 30% on the printed price. He spends Rs.40 on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for Rs.1284. Find his profit percentage.
Answer» Joey buys an article at a rebate of 30% on the printed price. He spends Rs.40 on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for Rs.1284. Find his profit percentage.

Discussion

9.	why we cannot writes sin(45) +sin(45) in place of sin(90) ?
Answer» why we cannot writes sin(45) +sin(45) in place of sin(90) ?

Discussion

10.	Which of the following are irrational numbers?
Answer» Which of the following are irrational numbers?

Discussion

11.	Rationalising √2+√3√3−√2 will give
Answer» Rationalising $\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3} - \sqrt{2}}$ will give

Discussion

12.	Consider the following population and year graph, find the slope of the line AB and using it, find what will be the population in the year 2010?
Answer» Consider the following population and year graph, find the slope of the line $A B$ and using it, find what will be the population in the year $2010$ ?

Discussion

13.	The co-ordinates of the point which divides the line joining the points (–1, 7) and (4, –3) in the ratio 2:3 is ________.
Answer» The co-ordinates of the point which divides the line joining the points (–1, 7) and (4, –3) in the ratio 2:3 is ________.

Discussion

14.	The value of sin2 20° + sin2 70° is __________.
Answer» The value of sin² 20° + sin² 70° is __________.

Discussion

15.	___ should be added to 9x2+18x to make it a perfect square.
Answer» ___ should be added to ${9 x}^{2} + 18 x$ to make it a perfect square.

Discussion

16.	Find the value of y?x + y = 1 and -x + y = -3
Answer» Find the value of y? x + y = 1 and -x + y = -3

Discussion

17.

Following is the Balance Sheet of Kusum, Sneh and Usha as on 31st March, 2019, who have agreed to share profits and losses in proportion of their capitals: Liabilities ₹ Assets ₹ Capital A/cs: Land and Building 4,00,000 Kusum 4,00,000 Machinery 6,00,000 Sneh 6,00,000 Closing Stock 2,00,000 Usha 4,00,000 14,00,000 Sundry Debtors 2,20,000 Employees' Provident Fund 70,000 Less: Provision for Doubtful Debts 20,000 Workmen Compensation Reserve 30,000 Cash at Bank 2,00,000 Sundry Creditors 1,00,000 2,00,000 16,00,000 16,00,000 On 1st April, 2019, Kusum retired from the firm and the remaining partners decided to carry on the business. It was agreed to revalue the assets and reassess the liabilities on that date, on the following basis:(a) Land and Building be appreciated by 30%.(b) Machinery be depreciated by 30%.(c) There were Bad Debts of ₹ 35,000.(d) The claim against Workmen Compensation Reserve was estimated at ₹ 15,000.(e) Goodwill of the firm was valued at ₹ 2,80,000 and Kusum's share of goodwill was adjusted against the Capital Accounts of the continuing partners Sneh and Usha who have decided to share future profits in the ratio of 3 : 4 respectively.(f) Capital of the new firm in total will be the same as before the retirement of Kusum and will be in the new profit-sharing ratio of the continuing partners.(g) Amount due to Kusum be settled by paying ₹ 1,00,000 in cash and balance by transferring to her Loan Account which will be paid later on.Prepare Revaluation Account, Capital Accounts of Partners and Balance Sheet of the new firm after Kusum's retirement.

Answer» Following is the Balance Sheet of Kusum, Sneh and Usha as on 31st March, 2019, who have agreed to share profits and losses in proportion of their capitals:


Liabilities		₹	Assets		₹
Capital A/cs:			Land and Building		4,00,000
Kusum	4,00,000		Machinery		6,00,000
Sneh	6,00,000		Closing Stock		2,00,000
Usha	4,00,000	14,00,000	Sundry Debtors	2,20,000
Employees' Provident Fund		70,000	Less: Provision for Doubtful Debts	20,000
Workmen Compensation Reserve		30,000	Cash at Bank		2,00,000
Sundry Creditors		1,00,000			2,00,000

		16,00,000			16,00,000

On 1st April, 2019, Kusum retired from the firm and the remaining partners decided to carry on the business. It was agreed to revalue the assets and reassess the liabilities on that date, on the following basis:

(a) Land and Building be appreciated by 30%.

(b) Machinery be depreciated by 30%.

(c) There were Bad Debts of ₹ 35,000.

(d) The claim against Workmen Compensation Reserve was estimated at ₹ 15,000.

(e) Goodwill of the firm was valued at ₹ 2,80,000 and Kusum's share of goodwill was adjusted against the Capital Accounts of the continuing partners Sneh and Usha who have decided to share future profits in the ratio of 3 : 4 respectively.

(f) Capital of the new firm in total will be the same as before the retirement of Kusum and will be in the new profit-sharing ratio of the continuing partners.

(g) Amount due to Kusum be settled by paying ₹ 1,00,000 in cash and balance by transferring to her Loan Account which will be paid later on.

Prepare Revaluation Account, Capital Accounts of Partners and Balance Sheet of the new firm after Kusum's retirement.

Discussion

18.	Question 5If sec4A=cosec(A−20∘), where 4A is an acute angle, find the value of A.
Answer» Question 5 If $s e c 4 A = c o s e c (A - 20^{\circ})$ , where 4A is an acute angle, find the value of A.

Discussion

19.	3F, 6G, 11I, 18Lthe next number in sequence is?
Answer» 3F, 6G, 11I, 18L the next number in sequence is?

Discussion

20.	Question 11 x = 5 and y = 2 is a solution of the linear equation: A) x + 2y = 7 B) 5x +2y = 7 C) x + y = 7 D) 5x + y = 7
Answer» Question 11 x = 5 and y = 2 is a solution of the linear equation: A) x + 2y = 7 B) 5x +2y = 7 C) x + y = 7 D) 5x + y = 7

Discussion

21.	If a, b and c are in A.P, then which of the following seies does not form an A.P.?
Answer» If a, b and c are in A.P, then which of the following seies does not form an A.P.?

Discussion

22.	Show that the mode of the series obtained by combining the two series S1 and S2 given below is different from that of S1 and S2 taken separately: S1 : 3, 5, 8, 8, 9, 12, 13, 9, 9 S2 : 7, 4, 7, 8, 7, 8, 13
Answer» Show that the mode of the series obtained by combining the two series $S_{1}$ and $S_{2}$ given below is different from that of $S_{1}$ and $S_{2}$ taken separately: $S_{1}$ : 3, 5, 8, 8, 9, 12, 13, 9, 9 $S_{2}$ : 7, 4, 7, 8, 7, 8, 13

Discussion

23.	The equation of the hyperbola with vertices at (0, ± 6) and eccentricity 53 is __________________ and its foci are __________________.
Answer» The equation of the hyperbola with vertices at (0, ± 6) and eccentricity $\frac{5}{3}$ is __________________ and its foci are __________________.

Discussion

24.	Anu and Bhagwan were partners in a firm sharing profits in the ratio of 3 : 1. Goodwill appeared in the books at ₹ 4,40,000. Raja was admitted to the partnership. The new profit-sharing ratio among Anu, Bhagwan and Raja was 2 : 2 : 1.Raja brought ₹ 1,00,000 for his capital and necessary cash for his goodwill premium. Goodwill of the firm was valued at ₹ 2,50,000.Record necessary Journal entries in the books of the firm for the above transactions.
Answer» Anu and Bhagwan were partners in a firm sharing profits in the ratio of 3 : 1. Goodwill appeared in the books at ₹ 4,40,000. Raja was admitted to the partnership. The new profit-sharing ratio among Anu, Bhagwan and Raja was 2 : 2 : 1. Raja brought ₹ 1,00,000 for his capital and necessary cash for his goodwill premium. Goodwill of the firm was valued at ₹ 2,50,000. Record necessary Journal entries in the books of the firm for the above transactions.

Discussion

25.	How many no of images of a person is formed who is in a room whose two adjacent walls and ceiling are plane mirrors
Answer» How many no of images of a person is formed who is in a room whose two adjacent walls and ceiling are plane mirrors

Discussion

26.	in the cross RrYy × RRYy , find the Probability of Ryy
Answer» in the cross RrYy × RRYy , find the Probability of Ryy

Discussion

27.	A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. [2 MARKS]
Answer» A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. [2 MARKS]

27.

A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. [2 MARKS]

Answer»

A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. [2 MARKS]

Discussion

28.	Match the following based on the construction of similar triangles, if scale factor is (mn). I. mn > 1a) The similar triangle is smaller than the original triangle. II. mn < 1b) The two triangles are congruent triangles. III. mn = 1c) The similar triangle is larger than the original triangle.
Answer» Match the following based on the construction of similar triangles, if scale factor is $(\frac{m}{n})$ . $\begin{matrix} I . \frac{m}{n} > 1 & a) T h e s i m i l a r t r i a n g l e i s s m a l l e r t h a n t h e o r i g i n a l t r i a n g l e . I I . \frac{m}{n} < 1 & b) T h e t w o t r i a n g l e s a r e c o n g r u e n t t r i a n g l e s . I I I . \frac{m}{n} = 1 & c) T h e s i m i l a r t r i a n g l e i s l a r g e r t h a n t h e o r i g i n a l t r i a n g l e . \end{matrix}$

Discussion

29.	{ The sum of the real roots of polynomial }72-36z}{-26z^2+13z^3+2z^4-z^5=0 will be
Answer» { The sum of the real roots of polynomial }72-36z}{-26z^2+13z^3+2z^4-z^5=0 will be

Discussion

30.	The probability of getting 2 heads, when two coins are tossed, is [CBSE 2012](a) 1(b) 34(c) 12(d) 14
Answer» The probability of getting 2 heads, when two coins are tossed, is [CBSE 2012] (a) 1 (b) $\frac{3}{4}$ (c) $\frac{1}{2}$ (d) $\frac{1}{4}$

Discussion

31.	What is the point that lies on x = 5 and has ordinate as -3?
Answer» What is the point that lies on x = 5 and has ordinate as -3?

Discussion

32.	If the ratio of the sum m terms and n terms of an A.P. are m2:n2 . Prove that the ratio of its mth and nth terms will be (2m-1):(2n-1).
Answer» If the ratio of the sum m terms and n terms of an A.P. are m²:n² . Prove that the ratio of its m^th and n^th terms will be (2m-1):(2n-1).

Discussion

33.	Question 2 (iii)Do the following equations represent a pair of coincident lines? Justify your answer.x2+y+25=0 and 4x+8y+516=0
Answer» Question 2 (iii) Do the following equations represent a pair of coincident lines? Justify your answer. $\frac{x}{2} + y + \frac{2}{5} = 0 a n d 4 x + 8 y + \frac{5}{16} = 0$

Discussion

34.	Choose the correct answer in each of the following questions:What is the common difference of an AP in which a18-a14=32?(a) 8 (b) −8 (c) 4 (d) −4
Answer» Choose the correct answer in each of the following questions: What is the common difference of an AP in which $a_{18} - a_{14} = 32$ ? (a) 8 (b) −8 (c) 4 (d) −4

Discussion

35.	Find the value of k that the quadratic equation x2 - 2kx+(7k-12)=0
Answer» Find the value of k that the quadratic equation x²- 2kx+(7k-12)=0

35.

Find the value of k that the quadratic equation x2 - 2kx+(7k-12)=0

Answer»

Find the value of k that the quadratic equation

x²- 2kx+(7k-12)=0

Discussion

36.	Find the value ofsinθ+cosθ ,when θ=45∘
Answer» Find the value of $s i n θ + c o s θ,when θ = 45^{\circ}$

Discussion

37.	The equation of a line is x - y = 4. Find its slope and y-intercept. Also, find its inclination.
Answer» The equation of a line is x - y = 4. Find its slope and y-intercept. Also, find its inclination.

Discussion

38.

With Goods and Services Tax (GST)Prepare Simple Cash book of Sri Gopal of Amritsar from the following transactions: 2018 ₹ April 1 Sri Gopal commenced business introducing cash ₹ 60,000 and ₹ 1,50,000 by taking a loan from the Allahabad Bank. April 4 Purchased following assets for business: Computer ₹ 16,000; Furniture ₹ 18,500 and Machinery ₹ 32,000 plus CGST and SGST 6% each, paid by cheque April 6 Purchased goods of ₹ 40,000 plus CGST and SGST 6% each from Bhushan, Amritsar, half of the value paid in cash. April 8 Paid wages for installation of Machinery 4,000 April 12 Computer repair charges ₹ 1,900 paid along with CGST and SGST 6% each April 15 Paid wages 15,000 Purchased Postage Stamps 150 Paid for stationery of ₹ 2,700 along with CGST and SGST 6% each April 19 Sold for cash half the goods purchased from Bhushan to Anil Krishna at a profit of25% and allowed him Trade Discount of 5%. Charged CGST and SGST 6% each April 24 Payment to carpenter for repairs to private property 350 April 26 Paid for medical expenses of Smt. Gopal 1,800 April 30 Paid for shop rent ₹ 2,000 along with CGST and SGST 6% each.

Answer» With Goods and Services Tax (GST)

Prepare Simple Cash book of Sri Gopal of Amritsar from the following transactions:

2018		₹
April 1	Sri Gopal commenced business introducing cash ₹ 60,000 and ₹ 1,50,000 by taking a loan from the Allahabad Bank.
April 4	Purchased following assets for business: Computer ₹ 16,000; Furniture ₹ 18,500 and Machinery ₹ 32,000 plus CGST and SGST 6% each, paid by cheque
April 6	Purchased goods of ₹ 40,000 plus CGST and SGST 6% each from Bhushan, Amritsar, half of the value paid in cash.
April 8	Paid wages for installation of Machinery	4,000
April 12	Computer repair charges ₹ 1,900 paid along with CGST and SGST 6% each
April 15	Paid wages	15,000
	Purchased Postage Stamps	150
	Paid for stationery of ₹ 2,700 along with CGST and SGST 6% each
April 19	Sold for cash half the goods purchased from Bhushan to Anil Krishna at a profit of25% and allowed him Trade Discount of 5%. Charged CGST and SGST 6% each
April 24	Payment to carpenter for repairs to private property	350
April 26	Paid for medical expenses of Smt. Gopal	1,800
April 30	Paid for shop rent ₹ 2,000 along with CGST and SGST 6% each.

Discussion

39.	A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm3 of water. The radii of the top and bottom circular ends are20 cm and 12 cm, respectively. Find the height of the bucket. [Use π = 3.14] [CBSE 2006C]
Answer» A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm³ of water. The radii of the top and bottom circular ends are 20 cm and 12 cm, respectively. Find the height of the bucket. [Use $π$ = 3.14] [CBSE 2006C]

Discussion

40.	7.What is molar volume?
Answer» 7.What is molar volume?

Discussion

41.	The value of (997)1/3 according to binomial theorem is(1) 9.00(2) 9.99(3) 10.90(4) 9.33
Answer» The value of (997)1/3 according to binomial theorem is(1) 9.00(2) 9.99(3) 10.90(4) 9.33

Discussion

42.	In a simultaneous throw of pair of dice, find the probability of getting:(i) 8 as the sum(ii) a doublet(iii) a doublet of prime numbers(iv) a doublet of odd numbers(v) a sum greater than 9(vi) an even number on first(vii) an even number on one and a multiple of 3 on the other(viii) neither 9 nor 11 as the sum of the numbers on the faces(ix) a sum less than 6(x) a sum less than 7(xi) a sum more than 7(xii) at least once(xiii) a number other than 5 on any dice.(xiv) even number on each die [CBSE 2014, 2015](xv) 5 as the sum [CBSE 2014, 2015](xvi) 2 will come up at least once [CBSE 2015](xvii) 2 will not come either time [CBSE 2015]
Answer» In a simultaneous throw of pair of dice, find the probability of getting: (i) 8 as the sum (ii) a doublet (iii) a doublet of prime numbers (iv) a doublet of odd numbers (v) a sum greater than 9 (vi) an even number on first (vii) an even number on one and a multiple of 3 on the other (viii) neither 9 nor 11 as the sum of the numbers on the faces (ix) a sum less than 6 (x) a sum less than 7 (xi) a sum more than 7 (xii) at least once (xiii) a number other than 5 on any dice. (xiv) even number on each die [CBSE 2014, 2015] (xv) 5 as the sum [CBSE 2014, 2015] (xvi) 2 will come up at least once [CBSE 2015] (xvii) 2 will not come either time [CBSE 2015]

Discussion

43.	Question 10In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has:(a) Only one solution(b) Two solutions(c) More than two solutions(d) No solution
Answer» Question 10 In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has: (a) Only one solution (b) Two solutions (c) More than two solutions (d) No solution

43.

Question 10In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has:(a) Only one solution(b) Two solutions(c) More than two solutions(d) No solution

Answer»

Question 10

In the following question out of the four options only one is correct, write the correct answer.

A linear equation in one variable has:

(a) Only one solution

(b) Two solutions

(c) More than two solutions

(d) No solution

Discussion

44.	Prove the following trigonometric identities.(sec A − cosec A) (1 + tan A + cot A) = tan A sec A − cot A cosec A
Answer» Prove the following trigonometric identities. (sec A − cosec A) (1 + tan A + cot A) = tan A sec A − cot A cosec A

Discussion

45.	i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm
Answer» i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm

45.

i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm

Answer»

i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______

ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm

Discussion

46.	Draw a circle of radius 3 cm. From a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents. [CBSE 2010]
Answer» Draw a circle of radius 3 cm. From a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents. [CBSE 2010]

Discussion

47.	If one zero of the polynomial 3x2 - 8x - (2k + 1) is seven times the other, find the zeroes and the value of k.
Answer» If one zero of the polynomial 3x² - 8x - (2k + 1) is seven times the other, find the zeroes and the value of k.

Discussion

48.	Solve the following systems of equations:22x+y+15x-y=555x+y+45x-y=14
Answer» Solve the following systems of equations: $\frac{22}{x + y} + \frac{15}{x - y} = 5 \frac{55}{x + y} + \frac{45}{x - y} = 14$

Discussion

49.	Fill in the blanks of the following(i) x7 = y3 = 3x + 5y.......... = 7x - 9y.........(ii) a3 = b 4 =c7 = a-2b+3c....... = ..........6 - 8 + 14
Answer» Fill in the blanks of the following (i) $\frac{x}{7} = \frac{y}{3} = \frac{3 x + 5 y}{. . . . . . . . . .} = \frac{7 x - 9 y}{. . . . . . . . .}$ (ii) $\frac{a}{3} = \frac{b}{4} = \frac{c}{7} = \frac{a - 2 b + 3 c}{. . . . . . .} = \frac{. . . . . . . . . .}{6 - 8 + 14}$

Discussion

50.	In ∆ABC , the coordinates of vertex A are (0, -1) and D (1,0) and E(0,10) respectively the mid-points of the sides AB and AC . If F is the mid-points of the side BC , find the area of ∆ DEF.
Answer» In $∆$ ABC , the coordinates of vertex A are (0, $-$ 1) and D (1,0) and E(0,10) respectively the mid-points of the sides AB and AC . If F is the mid-points of the side BC , find the area of $∆$ DEF.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Question 99 Solve the following: In a two-digit number, digit in unit's place is twice the digit in ten's place. If 27 is added to it, digits are reversed. Find the number.

cos 38° cosec 52°tan 18° tan 35° tan 60° tan 72° tan 55°=?(a) 13(b) 13(c) 3(d) 23

The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?

Solvethe linear equation

Draw 3 traversable networks of your own choice, showing the starting point and the end point.

If alpha and beta are the zeroes of the polynomial ax^2+bx+c, find the polynomial whose zeroes are alpha+1/beta and beta+1/alpha

Find the common difference of the A.P. and write the next two terms:(i) 51, 59, 67, 75, ..(ii) 75, 67, 59, 51, ...(iii) 1.8, 2.0, 2.2, 2.4, ...(iv) 0,14,12,34, ...(v) 119, 136, 153, 170, ...

Joey buys an article at a rebate of 30% on the printed price. He spends Rs.40 on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for Rs.1284. Find his profit percentage.

why we cannot writes sin(45) +sin(45) in place of sin(90) ?

Which of the following are irrational numbers?

Rationalising √2+√3√3−√2 will give

Consider the following population and year graph, find the slope of the line AB and using it, find what will be the population in the year 2010?

The co-ordinates of the point which divides the line joining the points (–1, 7) and (4, –3) in the ratio 2:3 is ________.

The value of sin2 20° + sin2 70° is __________.

___ should be added to 9x2+18x to make it a perfect square.

Find the value of y?x + y = 1 and -x + y = -3

Question 5If sec4A=cosec(A−20∘), where 4A is an acute angle, find the value of A.

3F, 6G, 11I, 18Lthe next number in sequence is?

Question 11 x = 5 and y = 2 is a solution of the linear equation: A) x + 2y = 7 B) 5x +2y = 7 C) x + y = 7 D) 5x + y = 7

If a, b and c are in A.P, then which of the following seies does not form an A.P.?

Show that the mode of the series obtained by combining the two series S1 and S2 given below is different from that of S1 and S2 taken separately: S1 : 3, 5, 8, 8, 9, 12, 13, 9, 9 S2 : 7, 4, 7, 8, 7, 8, 13

The equation of the hyperbola with vertices at (0, ± 6) and eccentricity 53 is __________________ and its foci are __________________.

How many no of images of a person is formed who is in a room whose two adjacent walls and ceiling are plane mirrors

in the cross RrYy × RRYy , find the Probability of Ryy

A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. [2 MARKS]

Match the following based on the construction of similar triangles, if scale factor is (mn). I. mn &gt; 1a) The similar triangle is smaller than the original triangle. II. mn &lt; 1b) The two triangles are congruent triangles. III. mn = 1c) The similar triangle is larger than the original triangle.

{ The sum of the real roots of polynomial }72-36z}{-26z^2+13z^3+2z^4-z^5=0 will be

The probability of getting 2 heads, when two coins are tossed, is [CBSE 2012](a) 1(b) 34(c) 12(d) 14

What is the point that lies on x = 5 and has ordinate as -3?

If the ratio of the sum m terms and n terms of an A.P. are m2:n2 . Prove that the ratio of its mth and nth terms will be (2m-1):(2n-1).

Question 2 (iii)Do the following equations represent a pair of coincident lines? Justify your answer.x2+y+25=0 and 4x+8y+516=0

Choose the correct answer in each of the following questions:What is the common difference of an AP in which a18-a14=32?(a) 8 (b) −8 (c) 4 (d) −4

Find the value of k that the quadratic equation x2 - 2kx+(7k-12)=0

Find the value ofsinθ+cosθ ,when θ=45∘

The equation of a line is x - y = 4. Find its slope and y-intercept. Also, find its inclination.

A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm3 of water. The radii of the top and bottom circular ends are20 cm and 12 cm, respectively. Find the height of the bucket. [Use π = 3.14] [CBSE 2006C]

7.What is molar volume?

The value of (997)1/3 according to binomial theorem is(1) 9.00(2) 9.99(3) 10.90(4) 9.33

Question 10In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has:(a) Only one solution(b) Two solutions(c) More than two solutions(d) No solution

Prove the following trigonometric identities.(sec A − cosec A) (1 + tan A + cot A) = tan A sec A − cot A cosec A

i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______ ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm

Draw a circle of radius 3 cm. From a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents. [CBSE 2010]

If one zero of the polynomial 3x2 - 8x - (2k + 1) is seven times the other, find the zeroes and the value of k.

Solve the following systems of equations:22x+y+15x-y=555x+y+45x-y=14

Fill in the blanks of the following(i) x7 = y3 = 3x + 5y.......... = 7x - 9y.........(ii) a3 = b 4 =c7 = a-2b+3c....... = ..........6 - 8 + 14

In ∆ABC , the coordinates of vertex A are (0, -1) and D (1,0) and E(0,10) respectively the mid-points of the sides AB and AC . If F is the mid-points of the side BC , find the area of ∆ DEF.

The equation of the hyperbola with vertices at (0, ± 6) and eccentricity 53 is and its foci are .

Match the following based on the construction of similar triangles, if scale factor is (mn). I. mn > 1a) The similar triangle is smaller than the original triangle. II. mn < 1b) The two triangles are congruent triangles. III. mn = 1c) The similar triangle is larger than the original triangle.