32581 + Interview Questions in Mathematics Page 233 InterviewSolution

11601.	The given figure shows a triangle PQR in which XY is parallel to QR. If PX : XQ = 1 : 3 and QR = 9 cm, find the length of XY. Further, if the area of Δ PXY = x cm2; find, in terms of x, the area of : (i) triangle PQR. (ii) trapezium XQRY.
Answer» The given figure shows a triangle PQR in which XY is parallel to QR. If PX : XQ = 1 : 3 and QR = 9 cm, find the length of XY. Further, if the area of $Δ$ PXY = x $c m^{2}$ ; find, in terms of x, the area of : (i) triangle PQR. (ii) trapezium XQRY.

11601.

The given figure shows a triangle PQR in which XY is parallel to QR. If PX : XQ = 1 : 3 and QR = 9 cm, find the length of XY. Further, if the area of Δ PXY = x cm2; find, in terms of x, the area of : (i) triangle PQR. (ii) trapezium XQRY.

Answer»

The given figure shows a triangle PQR in which XY is parallel to QR. If PX : XQ = 1 : 3 and QR = 9 cm, find the length of XY.
Further, if the area of $Δ$ PXY = x $c m^{2}$ ; find, in terms of x, the area of : (i) triangle PQR. (ii) trapezium XQRY.

Discussion

11602.	Solve for x in the equation: 2x3+1=7x15+3
Answer» Solve for $x$ in the equation: $\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3$

Discussion

11603.

The following is the distribution of height of students of a certain class in a certain city: Height (in cms): 160−162 163−165 166−168 169−171 172−174 No. of students: 15 118 142 127 18 Find the median height.

Answer» The following is the distribution of height of students of a certain class in a certain city:

Height (in cms):	160−162	163−165	166−168	169−171	172−174
No. of students:	15	118	142	127	18

Find the median height.

Discussion

11604.	28. The line y=mx bisects the area enclosed by the lines x=0, y=0, x=3/2 and the curve y=1+4x-x. Then find the value of m.
Answer» 28. The line y=mx bisects the area enclosed by the lines x=0, y=0, x=3/2 and the curve y=1+4x-x. Then find the value of m.

Discussion

11605.	From a circular piece of cardboard of radius 3 cm two sectors of 900 have been cutoff . Find the perimeter of the remaining portion nearest hundredth centimeters ( Take π = 22/ 7).
Answer» From a circular piece of cardboard of radius 3 cm two sectors of 90⁰ have been cutoff . Find the perimeter of the remaining portion nearest hundredth centimeters ( Take $π$ = 22/ 7).

Discussion

11606.	In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm2, what is the area of Δ BDC?
Answer» In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm², what is the area of Δ BDC?

Discussion

11607.	find the zeroes of quadratic polynimial whose product and sum of zeroes are 23 and 10 respectively .also find the polynomia
Answer» find the zeroes of quadratic polynimial whose product and sum of zeroes are 23 and 10 respectively .also find the polynomia

Discussion

11608.	From the information given below, find which of the point is between the other two. If the points are not collinear, state so.(i) d(P, R) = 7, d(P, Q) = 10, d(Q, R) = 3(ii) d(R, S) = 8, d(S, T) = 6, d(R, T) = 4(iii) d(A, B) = 16, d(C, A) = 9, d(B, C) = 7(iv) d(L, M) = 11, d(M, N) = 12, d(N, L) = 8(v) d(X, Y) = 15, d(Y, Z) = 7, d(X, Z) = 8(vi) d(D, E) = 5, d(E, F) = 8, d(D, F) = 6
Answer» From the information given below, find which of the point is between the other two. If the points are not collinear, state so. (i) d(P, R) = 7, d(P, Q) = 10, d(Q, R) = 3 (ii) d(R, S) = 8, d(S, T) = 6, d(R, T) = 4 (iii) d(A, B) = 16, d(C, A) = 9, d(B, C) = 7 (iv) d(L, M) = 11, d(M, N) = 12, d(N, L) = 8 (v) d(X, Y) = 15, d(Y, Z) = 7, d(X, Z) = 8 (vi) d(D, E) = 5, d(E, F) = 8, d(D, F) = 6

Discussion

11609.	In compound interest, when the interest is compounded half-yearly, the principal changes every __________.
Answer» In compound interest, when the interest is compounded half-yearly, the principal changes every __________.

Discussion

11610.	The probability of an event E that will definitely happen is 1. Such an event is called a ___ event.
Answer» The probability of an event E that will definitely happen is 1. Such an event is called a ___ event.

Discussion

11611.	A man has a height of 1.732 m. He observes the angle of depression to the head and toe of his son as 30o and 60o respectively. What is the height of his son? Take √3 = 1.732)
Answer» A man has a height of 1.732 m. He observes the angle of depression to the head and toe of his son as 30^o and 60^o respectively. What is the height of his son? Take √3 = 1.732)

11611.

A man has a height of 1.732 m. He observes the angle of depression to the head and toe of his son as 30o and 60o respectively. What is the height of his son? Take √3 = 1.732)

Answer»

A man has a height of 1.732 m. He observes the angle of depression to the head and toe of his son as 30^o and 60^o respectively. What is the height of his son?

Take √3 = 1.732)

Discussion

11612.	Dylan is organizing a curling tournament. The sports complex charges Rs. 115/ h for the ice rental. Dylan has booked it for 6h. He will charge each of the 14 teams in the tournament an entrance fee. How much should he charge from each team in order to make a profit?
Answer» Dylan is organizing a curling tournament. The sports complex charges Rs. 115/ h for the ice rental. Dylan has booked it for 6h. He will charge each of the 14 teams in the tournament an entrance fee. How much should he charge from each team in order to make a profit?

Discussion

11613.	a peacock is sitting on the tree and observes its prey on the ground. it makes an angle of depression of 22 degree to catch the prey.the speed of the peacock was observrd to be 10km/h and it catches prey in 1 min 12 seconds.at what height was the peacock on the tree?.
Answer» a peacock is sitting on the tree and observes its prey on the ground. it makes an angle of depression of 22 degree to catch the prey.the speed of the peacock was observrd to be 10km/h and it catches prey in 1 min 12 seconds.at what height was the peacock on the tree?.

Discussion

11614.	9. Find the equation of the circle passing through the point (2,-6) (-3,1) & (6,4)
Answer» 9. Find the equation of the circle passing through the point (2,-6) (-3,1) & (6,4)

Discussion

11615.	Question 4 In the following question out of the four options only one is correct, write the correct answer: The shifting of a number from one side of an equation to other is called : (a) Transposition (b) Distributivity (c) Commutativity (d) Associativity
Answer» Question 4 In the following question out of the four options only one is correct, write the correct answer: The shifting of a number from one side of an equation to other is called : (a) Transposition (b) Distributivity (c) Commutativity (d) Associativity

11615.

Question 4 In the following question out of the four options only one is correct, write the correct answer: The shifting of a number from one side of an equation to other is called : (a) Transposition (b) Distributivity (c) Commutativity (d) Associativity

Answer»

Question 4

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

The shifting of a number from one side of an equation to other is called :

(a) Transposition

(b) Distributivity

(c) Commutativity

(d) Associativity

Discussion

11616.	The sum of the ages of two brothers is 25 years and their difference is 3 years. Find the age of younger brother.
Answer» The sum of the ages of two brothers is 25 years and their difference is 3 years. Find the age of younger brother.

Discussion

11617.	Find the remainder when x3−ax2+6x−a is divided by x - a.
Answer» Find the remainder when $x^{3} - a x^{2} + 6 x - a$ is divided by x - a.

Discussion

11618.	Question 7Express the following in the form pq, where p and q are integers and q≠0(i) 0.2(ii) 0.888…(iii) 5.¯2(iv) 0¯¯¯¯¯¯¯¯¯¯.001(v)0.2555…(vi)0.1¯¯¯¯¯¯34(vii) 0.00323232... (viii) 0.404040…
Answer» Question 7 $Express the following in the form$ $\frac{p}{q}$ , $where p and q are integers and q \neq 0$ (i) 0.2 (ii) 0.888… (iii) $5. ¯ 2$ (iv) $0 ¯ ¯¯¯¯¯¯¯¯ ¯ .001$ (v)0.2555… (vi) $0.1 ¯ ¯¯¯¯ ¯ 34$ (vii) 0.00323232... (viii) 0.404040…

Discussion

11619.	Question 28 Sales tax = Tax % of ___
Answer» Question 28 Sales tax = Tax % of ___

11619.

Question 28 Sales tax = Tax % of ___

Answer»

Question 28

Sales tax = Tax % of ___

Discussion

11620.	Question 4 On dividing x3−3x2+x+2 by a polynomial g(x), the quotient and remainder were x−2 and −2x+4, respectively. Find g(x).
Answer» Question 4 On dividing $x^{3} - 3 x^{2} + x + 2$ by a polynomial g(x), the quotient and remainder were $x - 2$ and $- 2 x + 4$ , respectively. Find g(x).

Discussion

11621.	Question 14From the top of a tower h m high angles of depression of two objects, which are in line with foot of the tower are α and β(β>α). Find the distance between the two objects.
Answer» Question 14 From the top of a tower h m high angles of depression of two objects, which are in line with foot of the tower are $α$ and $β (β > α)$ . Find the distance between the two objects.

Discussion

11622.	Product of two numbers is 4x4+3x2. If one number is x2, other number is.
Answer» Product of two numbers is $4 x^{4} + 3 x^{2}$ . If one number is $x^{2}$ , other number is.

Discussion

11623.	Find the area of ∆ABC with vertices A(0, −1), B(2, 1) and C(0, 3). Also, find the area of the triangle formedby joining the midpoints of its sides. Show that the ratio of the areas of two triangles is 4 : 1. [CBSE 2014]
Answer» Find the area of $∆ A B C$ with vertices A(0, −1), B(2, 1) and C(0, 3). Also, find the area of the triangle formed by joining the midpoints of its sides. Show that the ratio of the areas of two triangles is 4 : 1. [CBSE 2014]

Discussion

11624.	The mean proportional between 12 and a number is twice the mean proportional between 8 and 18. Find the number.
Answer» The mean proportional between 12 and a number is twice the mean proportional between 8 and 18. Find the number.

Discussion

11625.	In the given figure, seg AC and seg BD intersect each other in point P and APCP=BPDP. Prove that, ∆ABP ~ ∆CDP
Answer» In the given figure, seg AC and seg BD intersect each other in point P and $\frac{AP}{CP} = \frac{BP}{DP}$ . Prove that, ∆ABP ~ ∆CDP

Discussion

11626.	A hemispehrical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindircal bottles of diameter 6 cm. Find the height of each bottle, if 10% liquid is wasted in this transfer.
Answer» A hemispehrical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindircal bottles of diameter 6 cm. Find the height of each bottle, if 10% liquid is wasted in this transfer.

Discussion

11627.	Find the value of a when the distance between the points (3, a) and (4, 1) is 10.
Answer» Find the value of a when the distance between the points (3, a) and (4, 1) is $\sqrt{10}$ .

Discussion

11628.	If the polynomial is divided by another polynomial, the remainder comes out to be x + a, find k and a.
Answer» If the polynomial is divided by another polynomial, the remainder comes out to be x + a, find k and a.

Discussion

11629.	1. The radius of a solid iron sphere is 8cm. Eight rings of iron plate of external radius 20÷3 cm thickness 3 cm are made by melting this sphere. Find thr imternal diameter of each ring
Answer» 1. The radius of a solid iron sphere is 8cm. Eight rings of iron plate of external radius 20÷3 cm thickness 3 cm are made by melting this sphere. Find thr imternal diameter of each ring

Discussion

11630.	The common difference of the A.P. is 12q,1-2q2q,1-4q2q, ... is(a) −1(b) 1(c) q(d) 2q
Answer» The common difference of the A.P. is $\frac{1}{2 q}, \frac{1 - 2 q}{2 q}, \frac{1 - 4 q}{2 q}, . . .$ is (a) −1 (b) 1 (c) q (d) 2q

Discussion

11631.

A and B are carrying on business in partnership and sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as: Liabilities ₹ Assets ₹ Creditors 11,800 Cash 1,500 A's Capital 51,450 Stock 28,000 B's Capital 36,750 88,200 Debtors 19,500 Furniture 2,500 Machinery 48,500 1,00,000 1,00,000 They admit C into partnership on 1st April, 2019 and give him 1/8th share in future profits on the following terms:(a) Goodwill of the firm be valued at twice the average of the last three years' profits which amounted to ₹ 21,000; ₹ 24,000 and ₹ 25,560.(b) C is to bring cash for the amount of his share of goodwill.(c) C is to bring cash ₹ 15,000 as his capital.Pass Journal entries recording these transactions, draw out the Balance Sheet of the new firm and determine new profit-sharing ratio.

Answer» A and B are carrying on business in partnership and sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as:


Liabilities		₹	Assets	₹
Creditors		11,800	Cash	1,500
A's Capital	51,450		Stock	28,000
B's Capital	36,750	88,200	Debtors	19,500
			Furniture	2,500
			Machinery	48,500


		1,00,000		1,00,000

They admit C into partnership on 1st April, 2019 and give him 1/8th share in future profits on the following terms:

(a) Goodwill of the firm be valued at twice the average of the last three years' profits which amounted to ₹ 21,000; ₹ 24,000 and ₹ 25,560.

(b) C is to bring cash for the amount of his share of goodwill.

(c) C is to bring cash ₹ 15,000 as his capital.

Pass Journal entries recording these transactions, draw out the Balance Sheet of the new firm and determine new profit-sharing ratio.

Discussion

11632.	If A = {3,4,7,8} and B = {1,7,10} then, which of the following sets are relations from A to B?
Answer» If A = {3,4,7,8} and B = {1,7,10} then, which of the following sets are relations from A to B?

Discussion

11633.

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures. Number of students per teacher Number of states/U.T 15 − 20 3 20 − 25 8 25 − 30 9 30 − 35 10 35 − 40 3 40 − 45 0 45 − 50 0 50 − 55 2

Answer»

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

Number of students per teacher	Number of states/U.T
15 − 20	3
20 − 25	8
25 − 30	9
30 − 35	10
35 − 40	3
40 − 45	0
45 − 50	0
50 − 55	2

Discussion

11634.	Question 14 How many multiples of 4 lie between 10 and 250?
Answer» Question 14 How many multiples of 4 lie between 10 and 250?

Discussion

11635.	If mode of a series exceeds its mean by 12, then mode exceeds the median by(a) 4(b) 8(c) 6(d) 10
Answer» If mode of a series exceeds its mean by 12, then mode exceeds the median by (a) 4 (b) 8 (c) 6 (d) 10

Discussion

11636.	The diameters of two circular ends of the bucket are 44 cm and 24 cm . The height of the bucket is 35 cm . The capacity of the bucket is(a) 32.7 litres (b) 33.7 litres (c) 34.7 litres (d) 31.7 litres
Answer» The diameters of two circular ends of the bucket are 44 cm and 24 cm . The height of the bucket is 35 cm . The capacity of the bucket is (a) 32.7 litres (b) 33.7 litres (c) 34.7 litres (d) 31.7 litres

Discussion

11637.	Find the next term in the following sequence: a-2d, a-d, a, a+d,...
Answer» Find the next term in the following sequence: a-2d, a-d, a, a+d,...

Discussion

11638.	Krishnan bought chocolates for his brothers. When he grouped the chocolates in groups of 4, 1 chocolate was left, if grouped in 5, 4 chocolates were left, if grouped in 6, 1 chocolate was left and if grouped in 7, no chocolate was left ungrouped. If the total number of chocolates bought was less than 50, find the number of chocolates Krishnan bought.
Answer» Krishnan bought chocolates for his brothers. When he grouped the chocolates in groups of 4, 1 chocolate was left, if grouped in 5, 4 chocolates were left, if grouped in 6, 1 chocolate was left and if grouped in 7, no chocolate was left ungrouped. If the total number of chocolates bought was less than 50, find the number of chocolates Krishnan bought.

Discussion

11639.	The orthocentre of a triangle is the ___________.
Answer» The orthocentre of a triangle is the ___________.

Discussion

11640.	Solve the following quadratic equations by factorization:a2b2x2+b2x-a2x-1=0
Answer» Solve the following quadratic equations by factorization: $a^{2} b^{2} x^{2} + b^{2} x - a^{2} x - 1 = 0$

Discussion

11641.	In ΔABC and ΔDEF,∠B=∠E,∠F=∠C, and AB = 3DE. Then, the two triangles are(A) Congruent but not similar(B) Similar but not congruent(C) Neither congruent not similar(D) Congruent as well as similar
Answer» In $Δ A B C a n d Δ D E F, ∠ B = ∠ E, ∠ F = ∠ C$ , and AB = 3DE. Then, the two triangles are (A) Congruent but not similar (B) Similar but not congruent (C) Neither congruent not similar (D) Congruent as well as similar

Discussion

11642.	The monthly incomes of A and B are in the ratio 5:4 and their monthly expenditures are in the ratio 7:5.If each saves Rs.9000 per month,find the monthly income of each.
Answer» The monthly incomes of A and B are in the ratio 5:4 and their monthly expenditures are in the ratio 7:5.If each saves Rs.9000 per month,find the monthly income of each.

Discussion

11643.	Find the 3rd term in the sequence of whole number set 0, 1, 2, 3, 4, 5, .....
Answer» Find the $3^{r d}$ term in the sequence of whole number set 0, 1, 2, 3, 4, 5, .....

Discussion

11644.	In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that □PQRS is a parallelogram.
Answer» In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that $□$ PQRS is a parallelogram.

Discussion

11645.	Which of the following cannot be the probability of occurence of an event?(a) 0.2(b) 0.4(c) 0.8(d) 1.6
Answer» Which of the following cannot be the probability of occurence of an event? (a) 0.2 (b) 0.4 (c) 0.8 (d) 1.6

Discussion

11646.	15. If tan(2A)=cot(B) Prove that (A+B)=1
Answer» 15. If tan(2A)=cot(B) Prove that (A+B)=1

Discussion

11647.	Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and ∠B=90∘. BD is the perpendicular from B on AC. A circle through B, C, D is drawn. Construct the tangents from A to this circle.
Answer» Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and $∠ B = 90^{\circ}$ . BD is the perpendicular from B on AC. A circle through B, C, D is drawn. Construct the tangents from A to this circle.

Discussion

11648.	If the median of x5,x4,x2,x and x3, where x > 0, is 8, find the value of x.
Answer» If the median of $\frac{x}{5}, \frac{x}{4}, \frac{x}{2}, x and \frac{x}{3}$ , where x > 0, is 8, find the value of x.

Discussion

11649.

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A. Also, find the equation of the line through vetex B and parallel to AC.

Answer»

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A.

Also, find the equation of the line through vetex B and parallel to AC.

Discussion

11650.	What is plimsoll line?
Answer» What is plimsoll line?

Discussion

Explore topic-wise InterviewSolutions in .

The given figure shows a triangle PQR in which XY is parallel to QR. If PX : XQ = 1 : 3 and QR = 9 cm, find the length of XY. Further, if the area of Δ PXY = x cm2; find, in terms of x, the area of : (i) triangle PQR. (ii) trapezium XQRY.

Solve for x in the equation: 2x3+1=7x15+3

The following is the distribution of height of students of a certain class in a certain city: Height (in cms): 160−162 163−165 166−168 169−171 172−174 No. of students: 15 118 142 127 18 Find the median height.

28. The line y=mx bisects the area enclosed by the lines x=0, y=0, x=3/2 and the curve y=1+4x-x. Then find the value of m.

From a circular piece of cardboard of radius 3 cm two sectors of 900 have been cutoff . Find the perimeter of the remaining portion nearest hundredth centimeters ( Take π = 22/ 7).

In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm2, what is the area of Δ BDC?

find the zeroes of quadratic polynimial whose product and sum of zeroes are 23 and 10 respectively .also find the polynomia

In compound interest, when the interest is compounded half-yearly, the principal changes every __________.

The probability of an event E that will definitely happen is 1. Such an event is called a ___ event.

A man has a height of 1.732 m. He observes the angle of depression to the head and toe of his son as 30o and 60o respectively. What is the height of his son? Take √3 = 1.732)

Dylan is organizing a curling tournament. The sports complex charges Rs. 115/ h for the ice rental. Dylan has booked it for 6h. He will charge each of the 14 teams in the tournament an entrance fee. How much should he charge from each team in order to make a profit?

a peacock is sitting on the tree and observes its prey on the ground. it makes an angle of depression of 22 degree to catch the prey.the speed of the peacock was observrd to be 10km/h and it catches prey in 1 min 12 seconds.at what height was the peacock on the tree?.

9. Find the equation of the circle passing through the point (2,-6) (-3,1) & (6,4)

Question 4 In the following question out of the four options only one is correct, write the correct answer: The shifting of a number from one side of an equation to other is called : (a) Transposition (b) Distributivity (c) Commutativity (d) Associativity

The sum of the ages of two brothers is 25 years and their difference is 3 years. Find the age of younger brother.

Find the remainder when x3−ax2+6x−a is divided by x - a.

Question 7Express the following in the form pq, where p and q are integers and q≠0(i) 0.2(ii) 0.888…(iii) 5.¯2(iv) 0¯¯¯¯¯¯¯¯¯¯.001(v)0.2555…(vi)0.1¯¯¯¯¯¯34(vii) 0.00323232... (viii) 0.404040…

Question 28 Sales tax = Tax % of ___

Question 4 On dividing x3−3x2+x+2 by a polynomial g(x), the quotient and remainder were x−2 and −2x+4, respectively. Find g(x).

Question 14From the top of a tower h m high angles of depression of two objects, which are in line with foot of the tower are α and β(β&gt;α). Find the distance between the two objects.

Product of two numbers is 4x4+3x2. If one number is x2, other number is.

Find the area of ∆ABC with vertices A(0, −1), B(2, 1) and C(0, 3). Also, find the area of the triangle formedby joining the midpoints of its sides. Show that the ratio of the areas of two triangles is 4 : 1. [CBSE 2014]

The mean proportional between 12 and a number is twice the mean proportional between 8 and 18. Find the number.

In the given figure, seg AC and seg BD intersect each other in point P and APCP=BPDP. Prove that, ∆ABP ~ ∆CDP

A hemispehrical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindircal bottles of diameter 6 cm. Find the height of each bottle, if 10% liquid is wasted in this transfer.

Find the value of a when the distance between the points (3, a) and (4, 1) is 10.

If the polynomial is divided by another polynomial, the remainder comes out to be x + a, find k and a.

1. The radius of a solid iron sphere is 8cm. Eight rings of iron plate of external radius 20÷3 cm thickness 3 cm are made by melting this sphere. Find thr imternal diameter of each ring

The common difference of the A.P. is 12q,1-2q2q,1-4q2q, ... is(a) −1(b) 1(c) q(d) 2q

If A = {3,4,7,8} and B = {1,7,10} then, which of the following sets are relations from A to B?

Question 14 How many multiples of 4 lie between 10 and 250?

If mode of a series exceeds its mean by 12, then mode exceeds the median by(a) 4(b) 8(c) 6(d) 10

The diameters of two circular ends of the bucket are 44 cm and 24 cm . The height of the bucket is 35 cm . The capacity of the bucket is(a) 32.7 litres (b) 33.7 litres (c) 34.7 litres (d) 31.7 litres

Find the next term in the following sequence: a-2d, a-d, a, a+d,...

The orthocentre of a triangle is the ___________.

Solve the following quadratic equations by factorization:a2b2x2+b2x-a2x-1=0

In ΔABC and ΔDEF,∠B=∠E,∠F=∠C, and AB = 3DE. Then, the two triangles are(A) Congruent but not similar(B) Similar but not congruent(C) Neither congruent not similar(D) Congruent as well as similar

The monthly incomes of A and B are in the ratio 5:4 and their monthly expenditures are in the ratio 7:5.If each saves Rs.9000 per month,find the monthly income of each.

Find the 3rd term in the sequence of whole number set 0, 1, 2, 3, 4, 5, .....

In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that □PQRS is a parallelogram.

Which of the following cannot be the probability of occurence of an event?(a) 0.2(b) 0.4(c) 0.8(d) 1.6

15. If tan(2A)=cot(B) Prove that (A+B)=1

Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and ∠B=90∘. BD is the perpendicular from B on AC. A circle through B, C, D is drawn. Construct the tangents from A to this circle.

If the median of x5,x4,x2,x and x3, where x > 0, is 8, find the value of x.

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A. Also, find the equation of the line through vetex B and parallel to AC.

What is plimsoll line?

Question 14From the top of a tower h m high angles of depression of two objects, which are in line with foot of the tower are α and β(β>α). Find the distance between the two objects.